TSTP Solution File: HWV045_3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV045_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:13:00 EDT 2022
% Result : Unsatisfiable 25.01s 16.31s
% Output : Proof 28.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HWV045_3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 22:54:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 25.01/16.31 % SZS status Unsatisfiable
% 25.01/16.31 % SZS output start Proof
% 25.01/16.31 tff(v18_type, type, (
% 25.01/16.31 v18: state_type > $o)).
% 25.01/16.31 tff(constB98_type, type, (
% 25.01/16.31 constB98: state_type)).
% 25.01/16.31 tff(v19_type, type, (
% 25.01/16.31 v19: state_type > $o)).
% 25.01/16.31 tff(v13_type, type, (
% 25.01/16.31 v13: state_type > $o)).
% 25.01/16.31 tff(v9_type, type, (
% 25.01/16.31 v9: state_type > $o)).
% 25.01/16.31 tff(constB97_type, type, (
% 25.01/16.31 constB97: state_type)).
% 25.01/16.31 tff(v197_type, type, (
% 25.01/16.31 v197: state_type > $o)).
% 25.01/16.31 tff(v196_type, type, (
% 25.01/16.31 v196: state_type > $o)).
% 25.01/16.31 tff(v194_type, type, (
% 25.01/16.31 v194: state_type > $o)).
% 25.01/16.31 tff(v191_type, type, (
% 25.01/16.31 v191: state_type > $o)).
% 25.01/16.31 tff(v193_type, type, (
% 25.01/16.31 v193: state_type > $o)).
% 25.01/16.31 tff(constB99_type, type, (
% 25.01/16.31 constB99: state_type)).
% 25.01/16.31 tff(sK0_VarCurr_type, type, (
% 25.01/16.31 sK0_VarCurr: state_type)).
% 25.01/16.31 tff(constB63_type, type, (
% 25.01/16.31 constB63: state_type)).
% 25.01/16.31 tff(constB62_type, type, (
% 25.01/16.31 constB62: state_type)).
% 25.01/16.31 tff(constB61_type, type, (
% 25.01/16.31 constB61: state_type)).
% 25.01/16.31 tff(v22_type, type, (
% 25.01/16.31 v22: state_type > $o)).
% 25.01/16.31 tff(v1_type, type, (
% 25.01/16.31 v1: state_type > $o)).
% 25.01/16.31 tff(nextState_type, type, (
% 25.01/16.31 nextState: ( state_type * state_type ) > $o)).
% 25.01/16.31 tff(v198_type, type, (
% 25.01/16.31 v198: state_type > $o)).
% 25.01/16.31 tff(v200_type, type, (
% 25.01/16.31 v200: state_type > $o)).
% 25.01/16.31 tff(v201_type, type, (
% 25.01/16.31 v201: state_type > $o)).
% 25.01/16.31 tff(v163_type, type, (
% 25.01/16.31 v163: state_type > $o)).
% 25.01/16.31 tff(v170_type, type, (
% 25.01/16.31 v170: state_type > $o)).
% 25.01/16.31 tff(v167_type, type, (
% 25.01/16.31 v167: state_type > $o)).
% 25.01/16.31 tff(v142_type, type, (
% 25.01/16.31 v142: state_type > $o)).
% 25.01/16.31 tff(v144_type, type, (
% 25.01/16.31 v144: state_type > $o)).
% 25.01/16.31 tff(v88_type, type, (
% 25.01/16.31 v88: ( state_type * bitindex_type ) > $o)).
% 25.01/16.31 tff(bitIndex0_type, type, (
% 25.01/16.31 bitIndex0: bitindex_type)).
% 25.01/16.31 tff(v90_type, type, (
% 25.01/16.31 v90: ( state_type * bitindex_type ) > $o)).
% 25.01/16.31 tff(constB60_type, type, (
% 25.01/16.31 constB60: state_type)).
% 25.01/16.31 tff(v100_type, type, (
% 25.01/16.31 v100: state_type > $o)).
% 25.01/16.31 tff(v110_type, type, (
% 25.01/16.31 v110: state_type > $o)).
% 25.01/16.31 tff(v108_type, type, (
% 25.01/16.31 v108: state_type > $o)).
% 25.01/16.31 tff(constB59_type, type, (
% 25.01/16.31 constB59: state_type)).
% 25.01/16.31 tff(v113_type, type, (
% 25.01/16.31 v113: state_type > $o)).
% 25.01/16.31 tff(v114_type, type, (
% 25.01/16.31 v114: state_type > $o)).
% 25.01/16.31 tff(v124_type, type, (
% 25.01/16.31 v124: state_type > $o)).
% 25.01/16.31 tff(constB58_type, type, (
% 25.01/16.31 constB58: state_type)).
% 25.01/16.31 tff(constB57_type, type, (
% 25.01/16.31 constB57: state_type)).
% 25.01/16.31 tff(v112_type, type, (
% 25.01/16.31 v112: state_type > $o)).
% 25.01/16.31 tff(v115_type, type, (
% 25.01/16.31 v115: state_type > $o)).
% 25.01/16.31 tff(v123_type, type, (
% 25.01/16.31 v123: state_type > $o)).
% 25.01/16.31 tff(bitIndex2_type, type, (
% 25.01/16.31 bitIndex2: bitindex_type)).
% 25.01/16.31 tff(constB56_type, type, (
% 25.01/16.31 constB56: state_type)).
% 25.01/16.31 tff(constB55_type, type, (
% 25.01/16.31 constB55: state_type)).
% 25.01/16.31 tff(v116_type, type, (
% 25.01/16.31 v116: state_type > $o)).
% 25.01/16.31 tff(v122_type, type, (
% 25.01/16.31 v122: state_type > $o)).
% 25.01/16.31 tff(constB54_type, type, (
% 25.01/16.31 constB54: state_type)).
% 25.01/16.31 tff(constB53_type, type, (
% 25.01/16.31 constB53: state_type)).
% 25.01/16.31 tff(v117_type, type, (
% 25.01/16.31 v117: state_type > $o)).
% 25.01/16.31 tff(v121_type, type, (
% 25.01/16.31 v121: state_type > $o)).
% 25.01/16.31 tff(constB52_type, type, (
% 25.01/16.31 constB52: state_type)).
% 25.01/16.31 tff(constB51_type, type, (
% 25.01/16.31 constB51: state_type)).
% 25.01/16.31 tff(v118_type, type, (
% 25.01/16.31 v118: state_type > $o)).
% 25.01/16.31 tff(v120_type, type, (
% 25.01/16.31 v120: state_type > $o)).
% 25.01/16.31 tff(constB50_type, type, (
% 25.01/16.31 constB50: state_type)).
% 25.01/16.31 tff(constB49_type, type, (
% 25.01/16.31 constB49: state_type)).
% 25.01/16.31 tff(v125_type, type, (
% 25.01/16.31 v125: state_type > $o)).
% 25.01/16.31 tff(constB48_type, type, (
% 25.01/16.31 constB48: state_type)).
% 25.01/16.31 tff(constB47_type, type, (
% 25.01/16.31 constB47: state_type)).
% 25.01/16.31 tff(constB46_type, type, (
% 25.01/16.31 constB46: state_type)).
% 25.01/16.31 tff(constB45_type, type, (
% 25.01/16.31 constB45: state_type)).
% 25.01/16.31 tff(constB44_type, type, (
% 25.01/16.31 constB44: state_type)).
% 25.01/16.31 tff(constB43_type, type, (
% 25.01/16.31 constB43: state_type)).
% 25.01/16.31 tff(constB42_type, type, (
% 25.01/16.31 constB42: state_type)).
% 25.01/16.31 tff(constB41_type, type, (
% 25.01/16.31 constB41: state_type)).
% 25.01/16.31 tff(constB40_type, type, (
% 25.01/16.31 constB40: state_type)).
% 25.01/16.31 tff(constB39_type, type, (
% 25.01/16.31 constB39: state_type)).
% 25.01/16.31 tff(constB35_type, type, (
% 25.01/16.31 constB35: state_type)).
% 25.01/16.31 tff(constB34_type, type, (
% 25.01/16.31 constB34: state_type)).
% 25.01/16.31 tff(v129_type, type, (
% 25.01/16.31 v129: ( state_type * bitindex_type ) > $o)).
% 25.01/16.31 tff(v127_type, type, (
% 25.01/16.31 v127: ( state_type * bitindex_type ) > $o)).
% 25.01/16.31 tff(constB33_type, type, (
% 25.01/16.31 constB33: state_type)).
% 25.01/16.31 tff(v130_type, type, (
% 25.01/16.31 v130: ( state_type * bitindex_type ) > $o)).
% 25.01/16.31 tff(constB31_type, type, (
% 25.01/16.31 constB31: state_type)).
% 25.01/16.31 tff(constB30_type, type, (
% 25.01/16.31 constB30: state_type)).
% 25.01/16.31 tff(constB29_type, type, (
% 25.01/16.31 constB29: state_type)).
% 25.01/16.31 tff(constB28_type, type, (
% 25.01/16.31 constB28: state_type)).
% 25.01/16.31 tff(constB27_type, type, (
% 25.01/16.31 constB27: state_type)).
% 25.01/16.31 tff(constB26_type, type, (
% 25.01/16.31 constB26: state_type)).
% 25.01/16.31 tff(constB25_type, type, (
% 25.01/16.31 constB25: state_type)).
% 25.01/16.31 tff(constB24_type, type, (
% 25.01/16.31 constB24: state_type)).
% 25.01/16.31 tff(constB23_type, type, (
% 25.01/16.31 constB23: state_type)).
% 25.01/16.31 tff(constB22_type, type, (
% 25.01/16.31 constB22: state_type)).
% 25.01/16.31 tff(constB21_type, type, (
% 25.01/16.31 constB21: state_type)).
% 25.01/16.31 tff(constB20_type, type, (
% 25.01/16.31 constB20: state_type)).
% 25.01/16.31 tff(constB19_type, type, (
% 25.01/16.31 constB19: state_type)).
% 25.01/16.31 tff(constB18_type, type, (
% 25.01/16.31 constB18: state_type)).
% 25.01/16.31 tff(constB17_type, type, (
% 25.01/16.31 constB17: state_type)).
% 25.01/16.31 tff(v26_type, type, (
% 25.01/16.31 v26: state_type > $o)).
% 25.01/16.31 tff(constB16_type, type, (
% 25.01/16.31 constB16: state_type)).
% 25.01/16.31 tff(constB15_type, type, (
% 25.01/16.31 constB15: state_type)).
% 25.01/16.31 tff(constB14_type, type, (
% 25.01/16.31 constB14: state_type)).
% 25.01/16.31 tff(constB13_type, type, (
% 25.01/16.31 constB13: state_type)).
% 25.01/16.31 tff(constB12_type, type, (
% 25.01/16.31 constB12: state_type)).
% 25.01/16.31 tff(constB11_type, type, (
% 25.01/16.31 constB11: state_type)).
% 25.01/16.31 tff(constB10_type, type, (
% 25.01/16.31 constB10: state_type)).
% 25.01/16.31 tff(constB9_type, type, (
% 25.01/16.31 constB9: state_type)).
% 25.01/16.31 tff(constB8_type, type, (
% 25.01/16.31 constB8: state_type)).
% 25.01/16.31 tff(constB7_type, type, (
% 25.01/16.31 constB7: state_type)).
% 25.01/16.31 tff(v60_type, type, (
% 25.01/16.31 v60: state_type > $o)).
% 25.01/16.31 tff(v66_type, type, (
% 25.01/16.31 v66: state_type > $o)).
% 25.01/16.31 tff(constB6_type, type, (
% 25.01/16.31 constB6: state_type)).
% 25.01/16.31 tff(v64_type, type, (
% 25.01/16.31 v64: state_type > $o)).
% 25.01/16.31 tff(v74_type, type, (
% 25.01/16.31 v74: state_type > $o)).
% 25.01/16.31 tff(v72_type, type, (
% 25.01/16.31 v72: state_type > $o)).
% 25.01/16.31 tff(v71_type, type, (
% 25.01/16.31 v71: state_type > $o)).
% 25.01/16.31 tff(v76_type, type, (
% 25.01/16.31 v76: state_type > $o)).
% 25.01/16.31 tff(v80_type, type, (
% 25.01/16.31 v80: state_type > $o)).
% 25.01/16.31 tff(v78_type, type, (
% 25.01/16.31 v78: state_type > $o)).
% 25.01/16.31 tff(constB5_type, type, (
% 25.01/16.31 constB5: state_type)).
% 25.01/16.31 tff(constB4_type, type, (
% 25.01/16.31 constB4: state_type)).
% 25.01/16.31 tff(constB3_type, type, (
% 25.01/16.31 constB3: state_type)).
% 25.01/16.31 tff(constB2_type, type, (
% 25.01/16.31 constB2: state_type)).
% 25.01/16.31 tff(constB1_type, type, (
% 25.01/16.31 constB1: state_type)).
% 25.01/16.31 tff(v119_type, type, (
% 25.01/16.31 v119: state_type > $o)).
% 25.01/16.31 tff(v101_type, type, (
% 25.01/16.31 v101: state_type > $o)).
% 25.01/16.31 tff(constB0_type, type, (
% 25.01/16.31 constB0: state_type)).
% 25.01/16.31 tff(bitIndex1_type, type, (
% 25.01/16.31 bitIndex1: bitindex_type)).
% 25.01/16.31 tff(v102_type, type, (
% 25.01/16.31 v102: state_type > $o)).
% 25.01/16.31 tff(v104_type, type, (
% 25.01/16.31 v104: state_type > $o)).
% 25.01/16.31 tff(constB32_type, type, (
% 25.01/16.31 constB32: state_type)).
% 25.01/16.31 tff(constB38_type, type, (
% 25.01/16.31 constB38: state_type)).
% 25.01/16.31 tff(constB37_type, type, (
% 25.01/16.31 constB37: state_type)).
% 25.01/16.31 tff(constB36_type, type, (
% 25.01/16.31 constB36: state_type)).
% 25.01/16.31 tff(v166_type, type, (
% 25.01/16.31 v166: state_type > $o)).
% 25.01/16.31 tff(v205_type, type, (
% 25.01/16.31 v205: state_type > $o)).
% 25.01/16.31 tff(constB159_type, type, (
% 25.01/16.31 constB159: state_type)).
% 25.01/16.31 tff(constB158_type, type, (
% 25.01/16.31 constB158: state_type)).
% 25.01/16.31 tff(constB157_type, type, (
% 25.01/16.31 constB157: state_type)).
% 25.01/16.31 tff(constB156_type, type, (
% 25.01/16.31 constB156: state_type)).
% 25.01/16.31 tff(constB155_type, type, (
% 25.01/16.31 constB155: state_type)).
% 25.01/16.31 tff(constB154_type, type, (
% 25.01/16.31 constB154: state_type)).
% 25.01/16.31 tff(constB153_type, type, (
% 25.01/16.31 constB153: state_type)).
% 25.01/16.31 tff(constB152_type, type, (
% 25.01/16.31 constB152: state_type)).
% 25.01/16.31 tff(constB151_type, type, (
% 25.01/16.31 constB151: state_type)).
% 25.01/16.31 tff(constB150_type, type, (
% 25.01/16.31 constB150: state_type)).
% 25.01/16.31 tff(constB149_type, type, (
% 25.01/16.31 constB149: state_type)).
% 25.01/16.31 tff(constB148_type, type, (
% 25.01/16.31 constB148: state_type)).
% 25.01/16.31 tff(constB147_type, type, (
% 25.01/16.31 constB147: state_type)).
% 25.01/16.31 tff(constB146_type, type, (
% 25.01/16.31 constB146: state_type)).
% 25.01/16.31 tff(constB145_type, type, (
% 25.01/16.31 constB145: state_type)).
% 25.01/16.31 tff(constB144_type, type, (
% 25.01/16.31 constB144: state_type)).
% 25.01/16.31 tff(constB143_type, type, (
% 25.01/16.31 constB143: state_type)).
% 25.01/16.31 tff(constB142_type, type, (
% 25.01/16.31 constB142: state_type)).
% 25.01/16.31 tff(constB141_type, type, (
% 25.01/16.31 constB141: state_type)).
% 25.01/16.31 tff(constB140_type, type, (
% 25.01/16.31 constB140: state_type)).
% 25.01/16.31 tff(constB139_type, type, (
% 25.01/16.31 constB139: state_type)).
% 25.01/16.31 tff(constB138_type, type, (
% 25.01/16.31 constB138: state_type)).
% 25.01/16.31 tff(constB137_type, type, (
% 25.01/16.31 constB137: state_type)).
% 25.01/16.31 tff(constB136_type, type, (
% 25.01/16.31 constB136: state_type)).
% 25.01/16.31 tff(constB135_type, type, (
% 25.01/16.31 constB135: state_type)).
% 25.01/16.31 tff(constB134_type, type, (
% 25.01/16.31 constB134: state_type)).
% 25.01/16.31 tff(constB133_type, type, (
% 25.01/16.31 constB133: state_type)).
% 25.01/16.31 tff(constB132_type, type, (
% 25.01/16.31 constB132: state_type)).
% 25.01/16.31 tff(constB131_type, type, (
% 25.01/16.31 constB131: state_type)).
% 25.01/16.31 tff(constB130_type, type, (
% 25.01/16.31 constB130: state_type)).
% 25.01/16.31 tff(constB129_type, type, (
% 25.01/16.31 constB129: state_type)).
% 25.01/16.31 tff(constB128_type, type, (
% 25.01/16.31 constB128: state_type)).
% 25.01/16.31 tff(constB127_type, type, (
% 25.01/16.31 constB127: state_type)).
% 25.01/16.31 tff(constB126_type, type, (
% 25.01/16.31 constB126: state_type)).
% 25.01/16.31 tff(constB125_type, type, (
% 25.01/16.31 constB125: state_type)).
% 25.01/16.31 tff(constB124_type, type, (
% 25.01/16.31 constB124: state_type)).
% 25.01/16.31 tff(constB123_type, type, (
% 25.01/16.31 constB123: state_type)).
% 25.01/16.31 tff(constB121_type, type, (
% 25.01/16.31 constB121: state_type)).
% 25.01/16.31 tff(constB120_type, type, (
% 25.01/16.31 constB120: state_type)).
% 25.01/16.31 tff(constB119_type, type, (
% 25.01/16.31 constB119: state_type)).
% 25.01/16.31 tff(constB118_type, type, (
% 25.01/16.31 constB118: state_type)).
% 25.01/16.31 tff(constB117_type, type, (
% 25.01/16.31 constB117: state_type)).
% 25.01/16.31 tff(constB116_type, type, (
% 25.01/16.31 constB116: state_type)).
% 25.01/16.31 tff(constB115_type, type, (
% 25.01/16.31 constB115: state_type)).
% 25.01/16.31 tff(constB114_type, type, (
% 25.01/16.31 constB114: state_type)).
% 25.01/16.31 tff(constB113_type, type, (
% 25.01/16.31 constB113: state_type)).
% 25.01/16.31 tff(constB112_type, type, (
% 25.01/16.31 constB112: state_type)).
% 25.01/16.31 tff(constB111_type, type, (
% 25.01/16.31 constB111: state_type)).
% 25.01/16.31 tff(constB110_type, type, (
% 25.01/16.31 constB110: state_type)).
% 25.01/16.31 tff(constB109_type, type, (
% 25.01/16.31 constB109: state_type)).
% 25.01/16.31 tff(constB108_type, type, (
% 25.01/16.31 constB108: state_type)).
% 25.01/16.31 tff(constB107_type, type, (
% 25.01/16.31 constB107: state_type)).
% 25.01/16.31 tff(constB106_type, type, (
% 25.01/16.31 constB106: state_type)).
% 25.01/16.31 tff(constB105_type, type, (
% 25.01/16.31 constB105: state_type)).
% 25.01/16.31 tff(constB104_type, type, (
% 25.01/16.31 constB104: state_type)).
% 25.01/16.31 tff(constB103_type, type, (
% 25.01/16.31 constB103: state_type)).
% 25.01/16.31 tff(constB102_type, type, (
% 25.01/16.31 constB102: state_type)).
% 25.01/16.31 tff(constB101_type, type, (
% 25.01/16.31 constB101: state_type)).
% 25.01/16.31 tff(constB100_type, type, (
% 25.01/16.31 constB100: state_type)).
% 25.01/16.31 tff(constB96_type, type, (
% 25.01/16.31 constB96: state_type)).
% 25.01/16.31 tff(constB95_type, type, (
% 25.01/16.31 constB95: state_type)).
% 25.01/16.31 tff(constB94_type, type, (
% 25.01/16.31 constB94: state_type)).
% 25.01/16.31 tff(constB93_type, type, (
% 25.01/16.31 constB93: state_type)).
% 25.01/16.31 tff(constB92_type, type, (
% 25.01/16.31 constB92: state_type)).
% 25.01/16.31 tff(constB91_type, type, (
% 25.01/16.31 constB91: state_type)).
% 25.01/16.31 tff(constB90_type, type, (
% 25.01/16.31 constB90: state_type)).
% 25.01/16.31 tff(constB89_type, type, (
% 25.01/16.31 constB89: state_type)).
% 25.01/16.31 tff(constB87_type, type, (
% 25.01/16.31 constB87: state_type)).
% 25.01/16.31 tff(constB86_type, type, (
% 25.01/16.31 constB86: state_type)).
% 25.01/16.31 tff(constB85_type, type, (
% 25.01/16.31 constB85: state_type)).
% 25.01/16.31 tff(constB84_type, type, (
% 25.01/16.31 constB84: state_type)).
% 25.01/16.31 tff(constB83_type, type, (
% 25.01/16.31 constB83: state_type)).
% 25.01/16.31 tff(constB82_type, type, (
% 25.01/16.31 constB82: state_type)).
% 25.01/16.31 tff(constB81_type, type, (
% 25.01/16.31 constB81: state_type)).
% 25.01/16.31 tff(constB80_type, type, (
% 25.01/16.31 constB80: state_type)).
% 25.01/16.31 tff(constB79_type, type, (
% 25.01/16.31 constB79: state_type)).
% 25.01/16.31 tff(constB78_type, type, (
% 25.01/16.31 constB78: state_type)).
% 25.01/16.31 tff(constB77_type, type, (
% 25.01/16.31 constB77: state_type)).
% 25.01/16.31 tff(constB76_type, type, (
% 25.01/16.31 constB76: state_type)).
% 25.01/16.31 tff(constB75_type, type, (
% 25.01/16.31 constB75: state_type)).
% 25.01/16.31 tff(constB74_type, type, (
% 25.01/16.31 constB74: state_type)).
% 25.01/16.31 tff(constB73_type, type, (
% 25.01/16.31 constB73: state_type)).
% 25.01/16.31 tff(constB72_type, type, (
% 25.01/16.31 constB72: state_type)).
% 25.01/16.31 tff(constB71_type, type, (
% 25.01/16.31 constB71: state_type)).
% 25.01/16.31 tff(constB70_type, type, (
% 25.01/16.31 constB70: state_type)).
% 25.01/16.31 tff(constB69_type, type, (
% 25.01/16.31 constB69: state_type)).
% 25.01/16.31 tff(constB68_type, type, (
% 25.01/16.31 constB68: state_type)).
% 25.01/16.31 tff(constB67_type, type, (
% 25.01/16.31 constB67: state_type)).
% 25.01/16.31 tff(constB66_type, type, (
% 25.01/16.31 constB66: state_type)).
% 25.01/16.31 tff(constB65_type, type, (
% 25.01/16.31 constB65: state_type)).
% 25.01/16.31 tff(constB64_type, type, (
% 25.01/16.31 constB64: state_type)).
% 25.01/16.31 tff(constB88_type, type, (
% 25.01/16.31 constB88: state_type)).
% 25.01/16.31 tff(constB122_type, type, (
% 25.01/16.31 constB122: state_type)).
% 25.01/16.31 tff(constB161_type, type, (
% 25.01/16.31 constB161: state_type)).
% 25.01/16.31 tff(constB160_type, type, (
% 25.01/16.31 constB160: state_type)).
% 25.01/16.31 tff(v159_type, type, (
% 25.01/16.31 v159: state_type > $o)).
% 25.01/16.31 tff(v186_type, type, (
% 25.01/16.31 v186: state_type > $o)).
% 25.01/16.31 tff(v179_type, type, (
% 25.01/16.31 v179: state_type > $o)).
% 25.01/16.31 tff(v180_type, type, (
% 25.01/16.31 v180: state_type > $o)).
% 25.01/16.31 tff(v181_type, type, (
% 25.01/16.31 v181: state_type > $o)).
% 25.01/16.31 tff(v86_type, type, (
% 25.01/16.31 v86: state_type > $o)).
% 25.01/16.31 tff(v207_type, type, (
% 25.01/16.31 v207: state_type > $o)).
% 25.01/16.31 tff(v206_type, type, (
% 25.01/16.31 v206: state_type > $o)).
% 25.01/16.31 tff(v148_type, type, (
% 25.01/16.31 v148: state_type > $o)).
% 25.01/16.31 tff(constB169_type, type, (
% 25.01/16.31 constB169: state_type)).
% 25.01/16.31 tff(constB168_type, type, (
% 25.01/16.31 constB168: state_type)).
% 25.01/16.31 tff(constB167_type, type, (
% 25.01/16.31 constB167: state_type)).
% 25.01/16.31 tff(constB166_type, type, (
% 25.01/16.31 constB166: state_type)).
% 25.01/16.31 tff(constB165_type, type, (
% 25.01/16.31 constB165: state_type)).
% 25.01/16.31 tff(constB164_type, type, (
% 25.01/16.31 constB164: state_type)).
% 25.01/16.31 tff(constB163_type, type, (
% 25.01/16.31 constB163: state_type)).
% 25.01/16.31 tff(constB162_type, type, (
% 25.01/16.31 constB162: state_type)).
% 25.01/16.31 tff(constB181_type, type, (
% 25.01/16.31 constB181: state_type)).
% 25.01/16.31 tff(constB180_type, type, (
% 25.01/16.31 constB180: state_type)).
% 25.01/16.31 tff(constB179_type, type, (
% 25.01/16.31 constB179: state_type)).
% 25.01/16.31 tff(constB178_type, type, (
% 25.01/16.31 constB178: state_type)).
% 25.01/16.31 tff(constB177_type, type, (
% 25.01/16.31 constB177: state_type)).
% 25.01/16.31 tff(constB176_type, type, (
% 25.01/16.31 constB176: state_type)).
% 25.01/16.31 tff(constB175_type, type, (
% 25.01/16.31 constB175: state_type)).
% 25.01/16.31 tff(constB174_type, type, (
% 25.01/16.31 constB174: state_type)).
% 25.01/16.31 tff(constB173_type, type, (
% 25.01/16.31 constB173: state_type)).
% 25.01/16.31 tff(constB172_type, type, (
% 25.01/16.31 constB172: state_type)).
% 25.01/16.31 tff(constB171_type, type, (
% 25.01/16.31 constB171: state_type)).
% 25.01/16.31 tff(constB170_type, type, (
% 25.01/16.31 constB170: state_type)).
% 25.01/16.31 tff(v146_type, type, (
% 25.01/16.31 v146: state_type > $o)).
% 25.01/16.31 tff(v169_type, type, (
% 25.01/16.31 v169: state_type > $o)).
% 25.01/16.31 tff(v168_type, type, (
% 25.01/16.31 v168: state_type > $o)).
% 25.01/16.31 tff(v139_type, type, (
% 25.01/16.31 v139: state_type > $o)).
% 25.01/16.31 tff(v143_type, type, (
% 25.01/16.31 v143: state_type > $o)).
% 25.01/16.31 tff(constB193_type, type, (
% 25.01/16.31 constB193: state_type)).
% 25.01/16.31 tff(constB192_type, type, (
% 25.01/16.31 constB192: state_type)).
% 25.01/16.31 tff(constB191_type, type, (
% 25.01/16.31 constB191: state_type)).
% 25.01/16.31 tff(constB189_type, type, (
% 25.01/16.31 constB189: state_type)).
% 25.01/16.31 tff(constB187_type, type, (
% 25.01/16.31 constB187: state_type)).
% 25.01/16.31 tff(constB186_type, type, (
% 25.01/16.31 constB186: state_type)).
% 25.01/16.31 tff(constB185_type, type, (
% 25.01/16.31 constB185: state_type)).
% 25.01/16.31 tff(constB184_type, type, (
% 25.01/16.31 constB184: state_type)).
% 25.01/16.31 tff(constB183_type, type, (
% 25.01/16.31 constB183: state_type)).
% 25.01/16.31 tff(constB182_type, type, (
% 25.01/16.31 constB182: state_type)).
% 25.01/16.31 tff(constB188_type, type, (
% 25.01/16.31 constB188: state_type)).
% 25.01/16.31 tff(constB190_type, type, (
% 25.01/16.31 constB190: state_type)).
% 25.01/16.31 tff(v141_type, type, (
% 25.01/16.31 v141: state_type > $o)).
% 25.01/16.31 tff(v140_type, type, (
% 25.01/16.31 v140: state_type > $o)).
% 25.01/16.31 tff(constB200_type, type, (
% 25.01/16.31 constB200: state_type)).
% 25.01/16.31 tff(constB198_type, type, (
% 25.01/16.31 constB198: state_type)).
% 25.01/16.31 tff(constB197_type, type, (
% 25.01/16.31 constB197: state_type)).
% 25.01/16.31 tff(constB196_type, type, (
% 25.01/16.31 constB196: state_type)).
% 25.01/16.31 tff(constB195_type, type, (
% 25.01/16.31 constB195: state_type)).
% 25.01/16.31 tff(constB194_type, type, (
% 25.01/16.31 constB194: state_type)).
% 25.01/16.31 tff(constB199_type, type, (
% 25.01/16.31 constB199: state_type)).
% 25.01/16.31 tff(reachableState_type, type, (
% 25.01/16.31 reachableState: state_type > $o)).
% 25.01/16.31 tff(1,assumption,(v18(constB62)), introduced(assumption)).
% 25.01/16.31 tff(2,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(3,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[2])).
% 25.01/16.31 tff(4,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(5,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 25.01/16.31 tff(6,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v18(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[5, 4])).
% 25.01/16.31 tff(7,plain,(
% 25.01/16.31 ![VarCurr: state_type] : (~v18(VarCurr))),
% 25.01/16.31 inference(skolemize,[status(sab)],[6])).
% 25.01/16.31 tff(8,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v18(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[7, 3])).
% 25.01/16.31 tff(9,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB62))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(10,plain,
% 25.01/16.31 ($false),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 25.01/16.31 tff(11,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 25.01/16.31 tff(12,plain,
% 25.01/16.31 (v1(constB62) <=> v1(constB62)),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(13,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 25.01/16.31 tff(14,plain,
% 25.01/16.31 (v1(constB62)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[13, 12])).
% 25.01/16.31 tff(15,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(16,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[15])).
% 25.01/16.31 tff(17,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(18,plain,
% 25.01/16.31 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(19,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[18])).
% 25.01/16.31 tff(20,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 25.01/16.31 tff(21,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[20, 19])).
% 25.01/16.31 tff(22,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[21, 17])).
% 25.01/16.31 tff(23,plain,(
% 25.01/16.31 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(skolemize,[status(sab)],[22])).
% 25.01/16.31 tff(24,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[23, 16])).
% 25.01/16.31 tff(25,plain,
% 25.01/16.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(26,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(27,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[26, 25])).
% 25.01/16.31 tff(28,plain,
% 25.01/16.31 (v22(constB62)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[27, 24, 14])).
% 25.01/16.31 tff(29,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(30,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[29])).
% 25.01/16.31 tff(31,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(32,plain,
% 25.01/16.31 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(33,plain,
% 25.01/16.31 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[32])).
% 25.01/16.31 tff(34,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 25.01/16.31 tff(35,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[34, 33])).
% 25.01/16.31 tff(36,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[35, 31])).
% 25.01/16.31 tff(37,plain,(
% 25.01/16.31 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(skolemize,[status(sab)],[36])).
% 25.01/16.31 tff(38,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[37, 30])).
% 25.01/16.31 tff(39,plain,
% 25.01/16.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(40,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(41,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[40, 39])).
% 25.01/16.31 tff(42,plain,
% 25.01/16.31 (v18(constB62) | (~v19(constB62))),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[41, 38, 28])).
% 25.01/16.31 tff(43,plain,
% 25.01/16.31 (~v19(constB62)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[42, 11])).
% 25.01/16.31 tff(44,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(45,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[44])).
% 25.01/16.31 tff(46,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(47,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 25.01/16.31 tff(48,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[47, 46])).
% 25.01/16.31 tff(49,plain,(
% 25.01/16.31 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.01/16.31 inference(skolemize,[status(sab)],[48])).
% 25.01/16.31 tff(50,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[49, 45])).
% 25.01/16.31 tff(51,plain,
% 25.01/16.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(52,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(53,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[52, 51])).
% 25.01/16.31 tff(54,plain,
% 25.01/16.31 (v13(constB62)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[53, 50, 43])).
% 25.01/16.31 tff(55,plain,
% 25.01/16.31 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(56,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 25.01/16.31 tff(57,plain,
% 25.01/16.31 (nextState(constB61, constB62)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[56, 55])).
% 25.01/16.31 tff(58,plain,
% 25.01/16.31 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(59,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[58])).
% 25.01/16.31 tff(60,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(61,plain,
% 25.01/16.31 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) <=> ((~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)))), rewrite((((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(62,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[61])).
% 25.01/16.31 tff(63,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_13_2')).
% 25.01/16.31 tff(64,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[63, 62])).
% 25.01/16.31 tff(65,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[64, 60])).
% 25.01/16.31 tff(66,plain,(
% 25.01/16.31 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(skolemize,[status(sab)],[65])).
% 25.01/16.31 tff(67,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[66, 59])).
% 25.01/16.31 tff(68,plain,
% 25.01/16.31 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(69,plain,
% 25.01/16.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(70,plain,
% 25.01/16.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[69, 68])).
% 25.01/16.31 tff(71,plain,
% 25.01/16.31 (v9(constB61) | (~v13(constB62))),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[70, 67, 57])).
% 25.01/16.31 tff(72,plain,
% 25.01/16.31 (v9(constB61)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[71, 54])).
% 25.01/16.31 tff(73,plain,
% 25.01/16.31 ((~v1(constB61)) <=> (~v1(constB61))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(74,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 25.01/16.31 tff(75,plain,
% 25.01/16.31 (~v1(constB61)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[74, 73])).
% 25.01/16.31 tff(76,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(77,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[76])).
% 25.01/16.31 tff(78,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(79,plain,
% 25.01/16.31 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v197(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(80,plain,
% 25.01/16.31 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[79])).
% 25.01/16.31 tff(81,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_1')).
% 25.01/16.31 tff(82,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[81, 80])).
% 25.01/16.31 tff(83,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[82, 78])).
% 25.01/16.31 tff(84,plain,(
% 25.01/16.31 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(skolemize,[status(sab)],[83])).
% 25.01/16.31 tff(85,plain,
% 25.01/16.31 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[84, 77])).
% 25.01/16.31 tff(86,plain,
% 25.01/16.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v197(constB61))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB61) | (~v9(constB61)) | v197(constB61))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(87,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v197(constB61))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(88,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB61) | (~v9(constB61)) | v197(constB61)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[87, 86])).
% 25.01/16.31 tff(89,plain,
% 25.01/16.31 ((~v9(constB61)) | v197(constB61)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[88, 85, 75])).
% 25.01/16.31 tff(90,plain,
% 25.01/16.31 (v197(constB61)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[89, 72])).
% 25.01/16.31 tff(91,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl(((~v197(VarCurr)) | v196(VarCurr)) <=> ((~v197(VarCurr)) | v196(VarCurr)))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(92,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr)) <=> ![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[91])).
% 25.01/16.31 tff(93,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr)) <=> ![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(94,axiom,(![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_1')).
% 25.01/16.31 tff(95,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[94, 93])).
% 25.01/16.31 tff(96,plain,(
% 25.01/16.31 ![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 25.01/16.31 inference(skolemize,[status(sab)],[95])).
% 25.01/16.31 tff(97,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[96, 92])).
% 25.01/16.31 tff(98,plain,
% 25.01/16.31 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB61)) | v196(constB61))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB61)) | v196(constB61))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(99,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB61)) | v196(constB61))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(100,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB61)) | v196(constB61)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[99, 98])).
% 25.01/16.31 tff(101,plain,
% 25.01/16.31 (v196(constB61)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[100, 97, 90])).
% 25.01/16.31 tff(102,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl(((~v194(VarCurr)) | (~v196(VarCurr))) <=> ((~v194(VarCurr)) | (~v196(VarCurr))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(103,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr))) <=> ![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[102])).
% 25.01/16.31 tff(104,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr))) <=> ![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(105,axiom,(![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 25.01/16.31 tff(106,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[105, 104])).
% 25.01/16.31 tff(107,plain,(
% 25.01/16.31 ![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 25.01/16.31 inference(skolemize,[status(sab)],[106])).
% 25.01/16.31 tff(108,plain,
% 25.01/16.31 (![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[107, 103])).
% 25.01/16.31 tff(109,plain,
% 25.01/16.31 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB61)) | (~v196(constB61)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB61)) | (~v196(constB61)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(110,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB61)) | (~v196(constB61)))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(111,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB61)) | (~v196(constB61))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[110, 109])).
% 25.01/16.31 tff(112,plain,
% 25.01/16.31 (~v194(constB61)),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[111, 108, 101])).
% 25.01/16.31 tff(113,assumption,(v26(constB17)), introduced(assumption)).
% 25.01/16.31 tff(114,plain,
% 25.01/16.31 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(115,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[114])).
% 25.01/16.31 tff(116,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(117,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 25.01/16.31 tff(118,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v26(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[117, 116])).
% 25.01/16.31 tff(119,plain,(
% 25.01/16.31 ![VarCurr: state_type] : (~v26(VarCurr))),
% 25.01/16.31 inference(skolemize,[status(sab)],[118])).
% 25.01/16.31 tff(120,plain,
% 25.01/16.31 (![VarCurr: state_type] : (~v26(VarCurr))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[119, 115])).
% 25.01/16.31 tff(121,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(122,plain,
% 25.01/16.31 ($false),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[121, 120, 113])).
% 25.01/16.31 tff(123,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 25.01/16.31 tff(124,assumption,(v26(constB13)), introduced(assumption)).
% 25.01/16.31 tff(125,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(126,plain,
% 25.01/16.31 ($false),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[125, 120, 124])).
% 25.01/16.31 tff(127,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 25.01/16.31 tff(128,assumption,(v26(constB9)), introduced(assumption)).
% 25.01/16.31 tff(129,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(130,plain,
% 25.01/16.31 ($false),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[129, 120, 128])).
% 25.01/16.31 tff(131,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 25.01/16.31 tff(132,assumption,(v26(constB6)), introduced(assumption)).
% 25.01/16.31 tff(133,plain,
% 25.01/16.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB6))),
% 25.01/16.31 inference(quant_inst,[status(thm)],[])).
% 25.01/16.31 tff(134,plain,
% 25.01/16.31 ($false),
% 25.01/16.31 inference(unit_resolution,[status(thm)],[133, 120, 132])).
% 25.01/16.31 tff(135,plain,(~v26(constB6)), inference(lemma,lemma(discharge,[]))).
% 25.01/16.31 tff(136,plain,
% 25.01/16.31 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(137,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 25.01/16.31 tff(138,plain,
% 25.01/16.31 (nextState(constB6, constB7)),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[137, 136])).
% 25.01/16.31 tff(139,plain,
% 25.01/16.31 (^[VarNext: state_type, VarCurr: state_type] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(140,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[139])).
% 25.01/16.31 tff(141,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(142,plain,
% 25.01/16.31 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v66(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))))),
% 25.01/16.31 inference(bind,[status(th)],[])).
% 25.01/16.31 tff(143,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(quant_intro,[status(thm)],[142])).
% 25.01/16.31 tff(144,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 25.01/16.31 tff(145,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[144, 143])).
% 25.01/16.31 tff(146,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[145, 141])).
% 25.01/16.31 tff(147,plain,(
% 25.01/16.31 ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(skolemize,[status(sab)],[146])).
% 25.01/16.31 tff(148,plain,
% 25.01/16.31 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.01/16.31 inference(modus_ponens,[status(thm)],[147, 140])).
% 25.01/16.31 tff(149,plain,
% 25.01/16.31 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB6, constB7)) | v26(constB6) | (~v66(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB6, constB7)) | v26(constB6) | (~v66(constB7)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(150,plain,
% 25.01/16.31 ((v26(constB6) | (~nextState(constB6, constB7)) | (~v66(constB7))) <=> ((~nextState(constB6, constB7)) | v26(constB6) | (~v66(constB7)))),
% 25.01/16.31 inference(rewrite,[status(thm)],[])).
% 25.01/16.31 tff(151,plain,
% 25.01/16.31 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB6) | (~nextState(constB6, constB7)) | (~v66(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB6, constB7)) | v26(constB6) | (~v66(constB7))))),
% 25.05/16.31 inference(monotonicity,[status(thm)],[150])).
% 25.05/16.31 tff(152,plain,
% 25.05/16.31 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB6) | (~nextState(constB6, constB7)) | (~v66(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB6, constB7)) | v26(constB6) | (~v66(constB7)))),
% 25.05/16.31 inference(transitivity,[status(thm)],[151, 149])).
% 25.05/16.31 tff(153,plain,
% 25.05/16.31 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB6) | (~nextState(constB6, constB7)) | (~v66(constB7)))),
% 25.05/16.31 inference(quant_inst,[status(thm)],[])).
% 25.05/16.31 tff(154,plain,
% 25.05/16.31 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB6, constB7)) | v26(constB6) | (~v66(constB7))),
% 25.05/16.31 inference(modus_ponens,[status(thm)],[153, 152])).
% 25.05/16.31 tff(155,plain,
% 25.05/16.31 (v26(constB6) | (~v66(constB7))),
% 25.05/16.31 inference(unit_resolution,[status(thm)],[154, 148, 138])).
% 25.05/16.31 tff(156,plain,
% 25.05/16.31 (~v66(constB7)),
% 25.05/16.31 inference(unit_resolution,[status(thm)],[155, 135])).
% 25.05/16.31 tff(157,assumption,(v18(constB8)), introduced(assumption)).
% 25.05/16.31 tff(158,plain,
% 25.05/16.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB8))),
% 25.05/16.31 inference(quant_inst,[status(thm)],[])).
% 25.05/16.31 tff(159,plain,
% 25.05/16.31 ($false),
% 25.05/16.31 inference(unit_resolution,[status(thm)],[158, 8, 157])).
% 25.05/16.31 tff(160,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 25.05/16.31 tff(161,plain,
% 25.05/16.31 (v1(constB8) <=> v1(constB8)),
% 25.05/16.31 inference(rewrite,[status(thm)],[])).
% 25.05/16.31 tff(162,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 25.05/16.31 tff(163,plain,
% 25.05/16.31 (v1(constB8)),
% 25.05/16.31 inference(modus_ponens,[status(thm)],[162, 161])).
% 25.05/16.31 tff(164,plain,
% 25.05/16.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 25.05/16.31 inference(rewrite,[status(thm)],[])).
% 25.05/16.31 tff(165,plain,
% 25.05/16.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 25.05/16.31 inference(quant_inst,[status(thm)],[])).
% 25.05/16.31 tff(166,plain,
% 25.05/16.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 25.05/16.31 inference(modus_ponens,[status(thm)],[165, 164])).
% 25.05/16.31 tff(167,plain,
% 25.05/16.31 (v22(constB8)),
% 25.05/16.31 inference(unit_resolution,[status(thm)],[166, 24, 163])).
% 25.05/16.31 tff(168,plain,
% 25.05/16.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 25.05/16.31 inference(rewrite,[status(thm)],[])).
% 25.05/16.31 tff(169,plain,
% 25.05/16.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 25.05/16.31 inference(quant_inst,[status(thm)],[])).
% 25.05/16.31 tff(170,plain,
% 25.05/16.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8))),
% 25.05/16.31 inference(modus_ponens,[status(thm)],[169, 168])).
% 25.05/16.31 tff(171,plain,
% 25.05/16.31 (v18(constB8) | (~v19(constB8))),
% 25.05/16.31 inference(unit_resolution,[status(thm)],[170, 38, 167])).
% 25.05/16.31 tff(172,plain,
% 25.05/16.31 (~v19(constB8)),
% 25.05/16.31 inference(unit_resolution,[status(thm)],[171, 160])).
% 25.05/16.31 tff(173,plain,
% 25.05/16.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 25.05/16.31 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(174,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(175,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[174, 173])).
% 25.05/16.32 tff(176,plain,
% 25.05/16.32 (v13(constB8)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[175, 50, 172])).
% 25.05/16.32 tff(177,plain,
% 25.05/16.32 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(178,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 25.05/16.32 tff(179,plain,
% 25.05/16.32 (nextState(constB7, constB8)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[178, 177])).
% 25.05/16.32 tff(180,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(181,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(182,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[181, 180])).
% 25.05/16.32 tff(183,plain,
% 25.05/16.32 (v9(constB7) | (~v13(constB8))),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[182, 67, 179])).
% 25.05/16.32 tff(184,plain,
% 25.05/16.32 (v9(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[183, 176])).
% 25.05/16.32 tff(185,plain,
% 25.05/16.32 ((~v1(constB7)) <=> (~v1(constB7))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(186,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 25.05/16.32 tff(187,plain,
% 25.05/16.32 (~v1(constB7)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[186, 185])).
% 25.05/16.32 tff(188,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(189,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[188])).
% 25.05/16.32 tff(190,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(191,plain,
% 25.05/16.32 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v64(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(192,plain,
% 25.05/16.32 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[191])).
% 25.05/16.32 tff(193,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 25.05/16.32 tff(194,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[193, 192])).
% 25.05/16.32 tff(195,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[194, 190])).
% 25.05/16.32 tff(196,plain,(
% 25.05/16.32 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(skolemize,[status(sab)],[195])).
% 25.05/16.32 tff(197,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[196, 189])).
% 25.05/16.32 tff(198,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB7) | v64(constB7) | (~v9(constB7)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB7) | v64(constB7) | (~v9(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(199,plain,
% 25.05/16.32 ((v1(constB7) | (~v9(constB7)) | v64(constB7)) <=> (v1(constB7) | v64(constB7) | (~v9(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(200,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v64(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB7) | v64(constB7) | (~v9(constB7))))),
% 25.05/16.32 inference(monotonicity,[status(thm)],[199])).
% 25.05/16.32 tff(201,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v64(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB7) | v64(constB7) | (~v9(constB7)))),
% 25.05/16.32 inference(transitivity,[status(thm)],[200, 198])).
% 25.05/16.32 tff(202,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v64(constB7))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(203,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB7) | v64(constB7) | (~v9(constB7))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[202, 201])).
% 25.05/16.32 tff(204,plain,
% 25.05/16.32 (v64(constB7) | (~v9(constB7))),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[203, 197, 187])).
% 25.05/16.32 tff(205,plain,
% 25.05/16.32 (v64(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[204, 184])).
% 25.05/16.32 tff(206,plain,
% 25.05/16.32 (^[VarNext: state_type] : refl(((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(207,plain,
% 25.05/16.32 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[206])).
% 25.05/16.32 tff(208,plain,
% 25.05/16.32 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(209,plain,
% 25.05/16.32 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v64(VarNext)) | (~v60(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)))), ((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)))), rewrite((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))), ((((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(210,plain,
% 25.05/16.32 (![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[209])).
% 25.05/16.32 tff(211,axiom,(![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 25.05/16.32 tff(212,plain,
% 25.05/16.32 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[211, 210])).
% 25.05/16.32 tff(213,plain,
% 25.05/16.32 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[212, 208])).
% 25.05/16.32 tff(214,plain,(
% 25.05/16.32 ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(skolemize,[status(sab)],[213])).
% 25.05/16.32 tff(215,plain,
% 25.05/16.32 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[214, 207])).
% 25.05/16.32 tff(216,plain,
% 25.05/16.32 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB7)) | v66(constB7) | (~v64(constB7)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB7)) | v66(constB7) | (~v64(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(217,plain,
% 25.05/16.32 (((~v64(constB7)) | v66(constB7) | (~v60(constB7))) <=> ((~v60(constB7)) | v66(constB7) | (~v64(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(218,plain,
% 25.05/16.32 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB7)) | v66(constB7) | (~v60(constB7)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB7)) | v66(constB7) | (~v64(constB7))))),
% 25.05/16.32 inference(monotonicity,[status(thm)],[217])).
% 25.05/16.32 tff(219,plain,
% 25.05/16.32 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB7)) | v66(constB7) | (~v60(constB7)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB7)) | v66(constB7) | (~v64(constB7)))),
% 25.05/16.32 inference(transitivity,[status(thm)],[218, 216])).
% 25.05/16.32 tff(220,plain,
% 25.05/16.32 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB7)) | v66(constB7) | (~v60(constB7)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(221,plain,
% 25.05/16.32 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB7)) | v66(constB7) | (~v64(constB7))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[220, 219])).
% 25.05/16.32 tff(222,plain,
% 25.05/16.32 ((~v60(constB7)) | v66(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[221, 215, 205])).
% 25.05/16.32 tff(223,plain,
% 25.05/16.32 (~v60(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[222, 156])).
% 25.05/16.32 tff(224,assumption,(v71(constB7)), introduced(assumption)).
% 25.05/16.32 tff(225,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(226,plain,
% 25.05/16.32 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[225])).
% 25.05/16.32 tff(227,plain,
% 25.05/16.32 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(228,axiom,(![VarCurr: state_type] : (~v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 25.05/16.32 tff(229,plain,
% 25.05/16.32 (![VarCurr: state_type] : (~v71(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[228, 227])).
% 25.05/16.32 tff(230,plain,(
% 25.05/16.32 ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.05/16.32 inference(skolemize,[status(sab)],[229])).
% 25.05/16.32 tff(231,plain,
% 25.05/16.32 (![VarCurr: state_type] : (~v71(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[230, 226])).
% 25.05/16.32 tff(232,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB7))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(233,plain,
% 25.05/16.32 ($false),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[232, 231, 224])).
% 25.05/16.32 tff(234,plain,(~v71(constB7)), inference(lemma,lemma(discharge,[]))).
% 25.05/16.32 tff(235,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl(((~v9(VarCurr)) | v80(VarCurr)) <=> ((~v9(VarCurr)) | v80(VarCurr)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(236,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[235])).
% 25.05/16.32 tff(237,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(238,axiom,(![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 25.05/16.32 tff(239,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[238, 237])).
% 25.05/16.32 tff(240,plain,(
% 25.05/16.32 ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.05/16.32 inference(skolemize,[status(sab)],[239])).
% 25.05/16.32 tff(241,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[240, 236])).
% 25.05/16.32 tff(242,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB7)) | v80(constB7))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB7)) | v80(constB7))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(243,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB7)) | v80(constB7))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(244,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB7)) | v80(constB7)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[243, 242])).
% 25.05/16.32 tff(245,plain,
% 25.05/16.32 (v80(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[244, 241, 184])).
% 25.05/16.32 tff(246,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(247,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[246])).
% 25.05/16.32 tff(248,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(249,axiom,(![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 25.05/16.32 tff(250,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[249, 248])).
% 25.05/16.32 tff(251,plain,(
% 25.05/16.32 ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.05/16.32 inference(skolemize,[status(sab)],[250])).
% 25.05/16.32 tff(252,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[251, 247])).
% 25.05/16.32 tff(253,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB7) | v78(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB7) | v78(constB7))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(254,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB7) | v78(constB7))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(255,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB7) | v78(constB7)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[254, 253])).
% 25.05/16.32 tff(256,plain,
% 25.05/16.32 (v78(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[255, 252, 187])).
% 25.05/16.32 tff(257,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl((v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(258,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[257])).
% 25.05/16.32 tff(259,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(260,plain,
% 25.05/16.32 (^[VarCurr: state_type] : rewrite((((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(261,plain,
% 25.05/16.32 (![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[260])).
% 25.05/16.32 tff(262,axiom,(![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 25.05/16.32 tff(263,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[262, 261])).
% 25.05/16.32 tff(264,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[263, 259])).
% 25.05/16.32 tff(265,plain,(
% 25.05/16.32 ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(skolemize,[status(sab)],[264])).
% 25.05/16.32 tff(266,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[265, 258])).
% 25.05/16.32 tff(267,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB7) | (~v80(constB7)) | (~v78(constB7)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB7) | (~v80(constB7)) | (~v78(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(268,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB7) | (~v80(constB7)) | (~v78(constB7)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(269,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB7) | (~v80(constB7)) | (~v78(constB7))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[268, 267])).
% 25.05/16.32 tff(270,plain,
% 25.05/16.32 (v76(constB7) | (~v80(constB7))),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[269, 266, 256])).
% 25.05/16.32 tff(271,plain,
% 25.05/16.32 (v76(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[270, 245])).
% 25.05/16.32 tff(272,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl((v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(273,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[272])).
% 25.05/16.32 tff(274,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(275,plain,
% 25.05/16.32 (^[VarCurr: state_type] : rewrite((((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(276,plain,
% 25.05/16.32 (![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[275])).
% 25.05/16.32 tff(277,axiom,(![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 25.05/16.32 tff(278,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[277, 276])).
% 25.05/16.32 tff(279,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[278, 274])).
% 25.05/16.32 tff(280,plain,(
% 25.05/16.32 ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(skolemize,[status(sab)],[279])).
% 25.05/16.32 tff(281,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[280, 273])).
% 25.05/16.32 tff(282,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v72(constB7)) | (~v76(constB7)) | v71(constB7))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v72(constB7)) | (~v76(constB7)) | v71(constB7))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(283,plain,
% 25.05/16.32 ((v71(constB7) | (~v76(constB7)) | (~v72(constB7))) <=> ((~v72(constB7)) | (~v76(constB7)) | v71(constB7))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(284,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB7) | (~v76(constB7)) | (~v72(constB7)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v72(constB7)) | (~v76(constB7)) | v71(constB7)))),
% 25.05/16.32 inference(monotonicity,[status(thm)],[283])).
% 25.05/16.32 tff(285,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB7) | (~v76(constB7)) | (~v72(constB7)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v72(constB7)) | (~v76(constB7)) | v71(constB7))),
% 25.05/16.32 inference(transitivity,[status(thm)],[284, 282])).
% 25.05/16.32 tff(286,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB7) | (~v76(constB7)) | (~v72(constB7)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(287,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v72(constB7)) | (~v76(constB7)) | v71(constB7)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[286, 285])).
% 25.05/16.32 tff(288,plain,
% 25.05/16.32 ((~v72(constB7)) | v71(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[287, 281, 271])).
% 25.05/16.32 tff(289,plain,
% 25.05/16.32 (~v72(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[288, 234])).
% 25.05/16.32 tff(290,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(291,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[290])).
% 25.05/16.32 tff(292,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(293,plain,
% 25.05/16.32 (^[VarCurr: state_type] : rewrite(((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(294,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[293])).
% 25.05/16.32 tff(295,axiom,(![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 25.05/16.32 tff(296,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[295, 294])).
% 25.05/16.32 tff(297,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[296, 292])).
% 25.05/16.32 tff(298,plain,(
% 25.05/16.32 ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(skolemize,[status(sab)],[297])).
% 25.05/16.32 tff(299,plain,
% 25.05/16.32 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[298, 291])).
% 25.05/16.32 tff(300,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB7) | v72(constB7) | v74(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB7) | v72(constB7) | v74(constB7))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(301,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB7) | v72(constB7) | v74(constB7))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(302,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB7) | v72(constB7) | v74(constB7)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[301, 300])).
% 25.05/16.32 tff(303,plain,
% 25.05/16.32 (v72(constB7) | v74(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[302, 299, 187])).
% 25.05/16.32 tff(304,plain,
% 25.05/16.32 (v74(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[303, 289])).
% 25.05/16.32 tff(305,plain,
% 25.05/16.32 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(306,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[305])).
% 25.05/16.32 tff(307,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(308,plain,
% 25.05/16.32 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v74(VarCurr)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v74(VarCurr)))), ((((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> (((~v26(VarCurr)) | (~v74(VarCurr))) | v60(VarCurr)))), rewrite((((~v26(VarCurr)) | (~v74(VarCurr))) | v60(VarCurr)) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))), ((((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(309,plain,
% 25.05/16.32 (![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[308])).
% 25.05/16.32 tff(310,axiom,(![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 25.05/16.32 tff(311,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[310, 309])).
% 25.05/16.32 tff(312,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[311, 307])).
% 25.05/16.32 tff(313,plain,(
% 25.05/16.32 ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(skolemize,[status(sab)],[312])).
% 25.05/16.32 tff(314,plain,
% 25.05/16.32 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[313, 306])).
% 25.05/16.32 tff(315,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB7) | (~v26(constB7)) | (~v74(constB7)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB7) | (~v26(constB7)) | (~v74(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(316,plain,
% 25.05/16.32 (((~v26(constB7)) | v60(constB7) | (~v74(constB7))) <=> (v60(constB7) | (~v26(constB7)) | (~v74(constB7)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(317,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB7)) | v60(constB7) | (~v74(constB7)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB7) | (~v26(constB7)) | (~v74(constB7))))),
% 25.05/16.32 inference(monotonicity,[status(thm)],[316])).
% 25.05/16.32 tff(318,plain,
% 25.05/16.32 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB7)) | v60(constB7) | (~v74(constB7)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB7) | (~v26(constB7)) | (~v74(constB7)))),
% 25.05/16.32 inference(transitivity,[status(thm)],[317, 315])).
% 25.05/16.32 tff(319,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB7)) | v60(constB7) | (~v74(constB7)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(320,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB7) | (~v26(constB7)) | (~v74(constB7))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[319, 318])).
% 25.05/16.32 tff(321,plain,
% 25.05/16.32 (v60(constB7) | (~v26(constB7))),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[320, 314, 304])).
% 25.05/16.32 tff(322,plain,
% 25.05/16.32 (~v26(constB7)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[321, 223])).
% 25.05/16.32 tff(323,assumption,(v26(constB1)), introduced(assumption)).
% 25.05/16.32 tff(324,plain,
% 25.05/16.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(325,plain,
% 25.05/16.32 ($false),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[324, 120, 323])).
% 25.05/16.32 tff(326,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 25.05/16.32 tff(327,plain,
% 25.05/16.32 ((~v1(constB1)) <=> (~v1(constB1))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(328,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 25.05/16.32 tff(329,plain,
% 25.05/16.32 (~v1(constB1)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[328, 327])).
% 25.05/16.32 tff(330,plain,
% 25.05/16.32 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(331,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 25.05/16.32 tff(332,plain,
% 25.05/16.32 (nextState(constB0, constB1)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[331, 330])).
% 25.05/16.32 tff(333,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(334,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[333])).
% 25.05/16.32 tff(335,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(336,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(337,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[336])).
% 25.05/16.32 tff(338,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 25.05/16.32 tff(339,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[338, 337])).
% 25.05/16.32 tff(340,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[339, 335])).
% 25.05/16.32 tff(341,plain,(
% 25.05/16.32 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(skolemize,[status(sab)],[340])).
% 25.05/16.32 tff(342,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[341, 334])).
% 25.05/16.32 tff(343,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(344,plain,
% 25.05/16.32 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(345,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 25.05/16.32 inference(monotonicity,[status(thm)],[344])).
% 25.05/16.32 tff(346,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 25.05/16.32 inference(transitivity,[status(thm)],[345, 343])).
% 25.05/16.32 tff(347,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(348,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[347, 346])).
% 25.05/16.32 tff(349,plain,
% 25.05/16.32 (~v101(constB1)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[348, 342, 332, 329])).
% 25.05/16.32 tff(350,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(351,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[350])).
% 25.05/16.32 tff(352,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(353,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(354,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[353])).
% 25.05/16.32 tff(355,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 25.05/16.32 tff(356,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[355, 354])).
% 25.05/16.32 tff(357,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[356, 352])).
% 25.05/16.32 tff(358,plain,(
% 25.05/16.32 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(skolemize,[status(sab)],[357])).
% 25.05/16.32 tff(359,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[358, 351])).
% 25.05/16.32 tff(360,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(361,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(362,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[361, 360])).
% 25.05/16.32 tff(363,plain,
% 25.05/16.32 (v101(constB1) | (~v100(constB1))),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[362, 359, 332])).
% 25.05/16.32 tff(364,plain,
% 25.05/16.32 (~v100(constB1)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[363, 349])).
% 25.05/16.32 tff(365,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(366,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[365])).
% 25.05/16.32 tff(367,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(368,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(369,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[368])).
% 25.05/16.32 tff(370,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_6')).
% 25.05/16.32 tff(371,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[370, 369])).
% 25.05/16.32 tff(372,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[371, 367])).
% 25.05/16.32 tff(373,plain,(
% 25.05/16.32 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(skolemize,[status(sab)],[372])).
% 25.05/16.32 tff(374,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[373, 366])).
% 25.05/16.32 tff(375,plain,
% 25.05/16.32 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(376,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 25.05/16.32 tff(377,plain,
% 25.05/16.32 (~v90(constB0, bitIndex2)),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[376, 375])).
% 25.05/16.32 tff(378,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(379,plain,
% 25.05/16.32 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(380,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 25.05/16.32 inference(monotonicity,[status(thm)],[379])).
% 25.05/16.32 tff(381,plain,
% 25.05/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 25.05/16.32 inference(transitivity,[status(thm)],[380, 378])).
% 25.05/16.32 tff(382,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 25.05/16.32 inference(quant_inst,[status(thm)],[])).
% 25.05/16.32 tff(383,plain,
% 25.05/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[382, 381])).
% 25.05/16.32 tff(384,plain,
% 25.05/16.32 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[383, 377, 374, 332])).
% 25.05/16.32 tff(385,plain,
% 25.05/16.32 (~v90(constB1, bitIndex2)),
% 25.05/16.32 inference(unit_resolution,[status(thm)],[384, 364])).
% 25.05/16.32 tff(386,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(387,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[386])).
% 25.05/16.32 tff(388,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.32 inference(rewrite,[status(thm)],[])).
% 25.05/16.32 tff(389,plain,
% 25.05/16.32 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 25.05/16.32 inference(bind,[status(th)],[])).
% 25.05/16.32 tff(390,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.32 inference(quant_intro,[status(thm)],[389])).
% 25.05/16.32 tff(391,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_4')).
% 25.05/16.32 tff(392,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[391, 390])).
% 25.05/16.32 tff(393,plain,
% 25.05/16.32 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.32 inference(modus_ponens,[status(thm)],[392, 388])).
% 25.05/16.32 tff(394,plain,(
% 25.05/16.32 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.33 inference(skolemize,[status(sab)],[393])).
% 25.05/16.33 tff(395,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[394, 387])).
% 25.05/16.33 tff(396,plain,
% 25.05/16.33 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(397,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 25.05/16.33 tff(398,plain,
% 25.05/16.33 (~v90(constB0, bitIndex1)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[397, 396])).
% 25.05/16.33 tff(399,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(400,plain,
% 25.05/16.33 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(401,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[400])).
% 25.05/16.33 tff(402,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[401, 399])).
% 25.05/16.33 tff(403,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(404,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[403, 402])).
% 25.05/16.33 tff(405,plain,
% 25.05/16.33 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[404, 398, 395, 332])).
% 25.05/16.33 tff(406,plain,
% 25.05/16.33 (~v90(constB1, bitIndex1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[405, 364])).
% 25.05/16.33 tff(407,plain,
% 25.05/16.33 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(408,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[407])).
% 25.05/16.33 tff(409,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(410,plain,
% 25.05/16.33 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(411,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[410])).
% 25.05/16.33 tff(412,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_2')).
% 25.05/16.33 tff(413,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[412, 411])).
% 25.05/16.33 tff(414,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[413, 409])).
% 25.05/16.33 tff(415,plain,(
% 25.05/16.33 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(skolemize,[status(sab)],[414])).
% 25.05/16.33 tff(416,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[415, 408])).
% 25.05/16.33 tff(417,plain,
% 25.05/16.33 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(418,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 25.05/16.33 tff(419,plain,
% 25.05/16.33 (~v90(constB0, bitIndex0)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[418, 417])).
% 25.05/16.33 tff(420,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(421,plain,
% 25.05/16.33 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(422,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[421])).
% 25.05/16.33 tff(423,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[422, 420])).
% 25.05/16.33 tff(424,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(425,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[424, 423])).
% 25.05/16.33 tff(426,plain,
% 25.05/16.33 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[425, 419, 416, 332])).
% 25.05/16.33 tff(427,plain,
% 25.05/16.33 (~v90(constB1, bitIndex0)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[426, 364])).
% 25.05/16.33 tff(428,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(429,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[428])).
% 25.05/16.33 tff(430,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(431,plain,
% 25.05/16.33 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(432,plain,
% 25.05/16.33 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[431])).
% 25.05/16.33 tff(433,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 25.05/16.33 tff(434,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[433, 432])).
% 25.05/16.33 tff(435,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[434, 430])).
% 25.05/16.33 tff(436,plain,(
% 25.05/16.33 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(skolemize,[status(sab)],[435])).
% 25.05/16.33 tff(437,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[436, 429])).
% 25.05/16.33 tff(438,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(439,plain,
% 25.05/16.33 ((v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)) <=> (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(440,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1)))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[439])).
% 25.05/16.33 tff(441,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1))),
% 25.05/16.33 inference(transitivity,[status(thm)],[440, 438])).
% 25.05/16.33 tff(442,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB1, bitIndex0) | v119(constB1) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(443,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2) | v119(constB1)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[442, 441])).
% 25.05/16.33 tff(444,plain,
% 25.05/16.33 (v119(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[443, 437, 427, 406, 385])).
% 25.05/16.33 tff(445,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(446,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[445])).
% 25.05/16.33 tff(447,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(448,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 25.05/16.33 tff(449,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[448, 447])).
% 25.05/16.33 tff(450,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[449])).
% 25.05/16.33 tff(451,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[450, 446])).
% 25.05/16.33 tff(452,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(453,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(454,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[453, 452])).
% 25.05/16.33 tff(455,plain,
% 25.05/16.33 (v118(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[454, 451, 444])).
% 25.05/16.33 tff(456,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(457,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[456])).
% 25.05/16.33 tff(458,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(459,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 25.05/16.33 tff(460,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[459, 458])).
% 25.05/16.33 tff(461,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[460])).
% 25.05/16.33 tff(462,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[461, 457])).
% 25.05/16.33 tff(463,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(464,plain,
% 25.05/16.33 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(465,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[464])).
% 25.05/16.33 tff(466,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[465, 463])).
% 25.05/16.33 tff(467,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(468,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[467, 466])).
% 25.05/16.33 tff(469,plain,
% 25.05/16.33 (v117(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[468, 462, 455])).
% 25.05/16.33 tff(470,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(471,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[470])).
% 25.05/16.33 tff(472,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(473,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 25.05/16.33 tff(474,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[473, 472])).
% 25.05/16.33 tff(475,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[474])).
% 25.05/16.33 tff(476,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[475, 471])).
% 25.05/16.33 tff(477,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(478,plain,
% 25.05/16.33 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(479,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[478])).
% 25.05/16.33 tff(480,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[479, 477])).
% 25.05/16.33 tff(481,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(482,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[481, 480])).
% 25.05/16.33 tff(483,plain,
% 25.05/16.33 (v116(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[482, 476, 469])).
% 25.05/16.33 tff(484,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(485,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[484])).
% 25.05/16.33 tff(486,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(487,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 25.05/16.33 tff(488,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[487, 486])).
% 25.05/16.33 tff(489,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[488])).
% 25.05/16.33 tff(490,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[489, 485])).
% 25.05/16.33 tff(491,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(492,plain,
% 25.05/16.33 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(493,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[492])).
% 25.05/16.33 tff(494,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[493, 491])).
% 25.05/16.33 tff(495,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(496,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[495, 494])).
% 25.05/16.33 tff(497,plain,
% 25.05/16.33 (v115(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[496, 490, 483])).
% 25.05/16.33 tff(498,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(499,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[498])).
% 25.05/16.33 tff(500,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(501,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 25.05/16.33 tff(502,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[501, 500])).
% 25.05/16.33 tff(503,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[502])).
% 25.05/16.33 tff(504,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[503, 499])).
% 25.05/16.33 tff(505,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(506,plain,
% 25.05/16.33 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(507,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[506])).
% 25.05/16.33 tff(508,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[507, 505])).
% 25.05/16.33 tff(509,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(510,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[509, 508])).
% 25.05/16.33 tff(511,plain,
% 25.05/16.33 (v114(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[510, 504, 497])).
% 25.05/16.33 tff(512,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(513,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[512])).
% 25.05/16.33 tff(514,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(515,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 25.05/16.33 tff(516,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[515, 514])).
% 25.05/16.33 tff(517,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[516])).
% 25.05/16.33 tff(518,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[517, 513])).
% 25.05/16.33 tff(519,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(520,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(521,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[520, 519])).
% 25.05/16.33 tff(522,plain,
% 25.05/16.33 (v113(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[521, 518, 511])).
% 25.05/16.33 tff(523,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(524,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[523])).
% 25.05/16.33 tff(525,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(526,plain,
% 25.05/16.33 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(527,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[526])).
% 25.05/16.33 tff(528,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 25.05/16.33 tff(529,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[528, 527])).
% 25.05/16.33 tff(530,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[529, 525])).
% 25.05/16.33 tff(531,plain,(
% 25.05/16.33 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[530])).
% 25.05/16.33 tff(532,plain,
% 25.05/16.33 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[531, 524])).
% 25.05/16.33 tff(533,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(534,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(535,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[534, 533])).
% 25.05/16.33 tff(536,plain,
% 25.05/16.33 (v26(constB1) | v112(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[535, 532, 522])).
% 25.05/16.33 tff(537,plain,
% 25.05/16.33 (v112(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[536, 326])).
% 25.05/16.33 tff(538,plain,
% 25.05/16.33 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(539,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[538])).
% 25.05/16.33 tff(540,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(541,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 25.05/16.33 tff(542,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[541, 540])).
% 25.05/16.33 tff(543,plain,(
% 25.05/16.33 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 25.05/16.33 inference(skolemize,[status(sab)],[542])).
% 25.05/16.33 tff(544,plain,
% 25.05/16.33 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[543, 539])).
% 25.05/16.33 tff(545,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(546,plain,
% 25.05/16.33 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(547,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[546])).
% 25.05/16.33 tff(548,plain,
% 25.05/16.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[547, 545])).
% 25.05/16.33 tff(549,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(550,plain,
% 25.05/16.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[549, 548])).
% 25.05/16.33 tff(551,plain,
% 25.05/16.33 (v108(constB1)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[550, 544, 537])).
% 25.05/16.33 tff(552,plain,
% 25.05/16.33 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(553,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 25.05/16.33 tff(554,plain,
% 25.05/16.33 (nextState(constB1, constB2)),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[553, 552])).
% 25.05/16.33 tff(555,plain,
% 25.05/16.33 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(556,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[555])).
% 25.05/16.33 tff(557,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(558,plain,
% 25.05/16.33 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(559,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[558])).
% 25.05/16.33 tff(560,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 25.05/16.33 tff(561,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[560, 559])).
% 25.05/16.33 tff(562,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[561, 557])).
% 25.05/16.33 tff(563,plain,(
% 25.05/16.33 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(skolemize,[status(sab)],[562])).
% 25.05/16.33 tff(564,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[563, 556])).
% 25.05/16.33 tff(565,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(566,plain,
% 25.05/16.33 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(567,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 25.05/16.33 inference(monotonicity,[status(thm)],[566])).
% 25.05/16.33 tff(568,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 25.05/16.33 inference(transitivity,[status(thm)],[567, 565])).
% 25.05/16.33 tff(569,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(570,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[569, 568])).
% 25.05/16.33 tff(571,plain,
% 25.05/16.33 (v110(constB2) | (~v108(constB1))),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[570, 564, 554])).
% 25.05/16.33 tff(572,plain,
% 25.05/16.33 (v110(constB2)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[571, 551])).
% 25.05/16.33 tff(573,plain,
% 25.05/16.33 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(574,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[573])).
% 25.05/16.33 tff(575,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(576,plain,
% 25.05/16.33 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))))),
% 25.05/16.33 inference(bind,[status(th)],[])).
% 25.05/16.33 tff(577,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(quant_intro,[status(thm)],[576])).
% 25.05/16.33 tff(578,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 25.05/16.33 tff(579,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[578, 577])).
% 25.05/16.33 tff(580,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[579, 575])).
% 25.05/16.33 tff(581,plain,(
% 25.05/16.33 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(skolemize,[status(sab)],[580])).
% 25.05/16.33 tff(582,plain,
% 25.05/16.33 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[581, 574])).
% 25.05/16.33 tff(583,plain,
% 25.05/16.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 25.05/16.33 inference(rewrite,[status(thm)],[])).
% 25.05/16.33 tff(584,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 25.05/16.33 inference(quant_inst,[status(thm)],[])).
% 25.05/16.33 tff(585,plain,
% 25.05/16.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 25.05/16.33 inference(modus_ponens,[status(thm)],[584, 583])).
% 25.05/16.33 tff(586,plain,
% 25.05/16.33 (~v104(constB2)),
% 25.05/16.33 inference(unit_resolution,[status(thm)],[585, 582, 554, 329])).
% 25.05/16.33 tff(587,plain,
% 25.05/16.34 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 25.05/16.34 inference(bind,[status(th)],[])).
% 25.05/16.34 tff(588,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(quant_intro,[status(thm)],[587])).
% 25.05/16.34 tff(589,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(rewrite,[status(thm)],[])).
% 25.05/16.34 tff(590,plain,
% 25.05/16.34 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v102(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 25.05/16.34 inference(bind,[status(th)],[])).
% 25.05/16.34 tff(591,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(quant_intro,[status(thm)],[590])).
% 25.05/16.34 tff(592,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 25.05/16.34 tff(593,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(modus_ponens,[status(thm)],[592, 591])).
% 25.05/16.34 tff(594,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(modus_ponens,[status(thm)],[593, 589])).
% 25.05/16.34 tff(595,plain,(
% 25.05/16.34 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(skolemize,[status(sab)],[594])).
% 25.05/16.34 tff(596,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 25.05/16.34 inference(modus_ponens,[status(thm)],[595, 588])).
% 25.05/16.34 tff(597,plain,
% 25.05/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 25.05/16.34 inference(rewrite,[status(thm)],[])).
% 25.05/16.34 tff(598,plain,
% 25.05/16.34 (((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 25.05/16.34 inference(rewrite,[status(thm)],[])).
% 25.05/16.34 tff(599,plain,
% 25.05/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)))),
% 25.05/16.34 inference(monotonicity,[status(thm)],[598])).
% 25.05/16.34 tff(600,plain,
% 25.05/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2))),
% 25.05/16.34 inference(transitivity,[status(thm)],[599, 597])).
% 25.05/16.34 tff(601,plain,
% 25.05/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 25.05/16.34 inference(quant_inst,[status(thm)],[])).
% 25.05/16.34 tff(602,plain,
% 25.05/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | v102(constB2)),
% 25.05/16.34 inference(modus_ponens,[status(thm)],[601, 600])).
% 25.05/16.34 tff(603,plain,
% 25.05/16.34 (v104(constB2) | v102(constB2)),
% 25.05/16.34 inference(unit_resolution,[status(thm)],[602, 596, 554])).
% 25.05/16.34 tff(604,plain,
% 25.05/16.34 (v102(constB2)),
% 25.05/16.34 inference(unit_resolution,[status(thm)],[603, 586])).
% 25.05/16.34 tff(605,plain,
% 25.05/16.34 (v1(constB2) <=> v1(constB2)),
% 25.05/16.34 inference(rewrite,[status(thm)],[])).
% 25.05/16.34 tff(606,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 25.05/16.34 tff(607,plain,
% 25.05/16.34 (v1(constB2)),
% 25.05/16.34 inference(modus_ponens,[status(thm)],[606, 605])).
% 25.05/16.34 tff(608,plain,
% 25.05/16.34 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 25.05/16.34 inference(bind,[status(th)],[])).
% 25.05/16.34 tff(609,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.05/16.34 inference(quant_intro,[status(thm)],[608])).
% 25.05/16.34 tff(610,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.05/16.34 inference(rewrite,[status(thm)],[])).
% 25.05/16.34 tff(611,plain,
% 25.05/16.34 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 25.05/16.34 inference(bind,[status(th)],[])).
% 25.05/16.34 tff(612,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.05/16.34 inference(quant_intro,[status(thm)],[611])).
% 25.05/16.34 tff(613,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 25.05/16.34 tff(614,plain,
% 25.05/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[613, 612])).
% 25.07/16.34 tff(615,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[614, 610])).
% 25.07/16.34 tff(616,plain,(
% 25.07/16.34 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.07/16.34 inference(skolemize,[status(sab)],[615])).
% 25.07/16.34 tff(617,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[616, 609])).
% 25.07/16.34 tff(618,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(619,plain,
% 25.07/16.34 (((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))) <=> ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(620,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))))),
% 25.07/16.34 inference(monotonicity,[status(thm)],[619])).
% 25.07/16.34 tff(621,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2)))),
% 25.07/16.34 inference(transitivity,[status(thm)],[620, 618])).
% 25.07/16.34 tff(622,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(623,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | (~v1(constB2)) | v101(constB2) | (~v102(constB2))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[622, 621])).
% 25.07/16.34 tff(624,plain,
% 25.07/16.34 (v101(constB2) | (~v102(constB2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[623, 617, 554, 607])).
% 25.07/16.34 tff(625,plain,
% 25.07/16.34 (v101(constB2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[624, 604])).
% 25.07/16.34 tff(626,plain,
% 25.07/16.34 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(627,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[626])).
% 25.07/16.34 tff(628,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(629,plain,
% 25.07/16.34 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(630,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[629])).
% 25.07/16.34 tff(631,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 25.07/16.34 tff(632,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[631, 630])).
% 25.07/16.34 tff(633,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[632, 628])).
% 25.07/16.34 tff(634,plain,(
% 25.07/16.34 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(skolemize,[status(sab)],[633])).
% 25.07/16.34 tff(635,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[634, 627])).
% 25.07/16.34 tff(636,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(637,plain,
% 25.07/16.34 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(638,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 25.07/16.34 inference(monotonicity,[status(thm)],[637])).
% 25.07/16.34 tff(639,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 25.07/16.34 inference(transitivity,[status(thm)],[638, 636])).
% 25.07/16.34 tff(640,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(641,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[640, 639])).
% 25.07/16.34 tff(642,plain,
% 25.07/16.34 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[641, 635, 554])).
% 25.07/16.34 tff(643,plain,
% 25.07/16.34 (v100(constB2) | (~v110(constB2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[642, 625])).
% 25.07/16.34 tff(644,plain,
% 25.07/16.34 (v100(constB2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[643, 572])).
% 25.07/16.34 tff(645,plain,
% 25.07/16.34 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(646,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[645])).
% 25.07/16.34 tff(647,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(648,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 25.07/16.34 tff(649,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[648, 647])).
% 25.07/16.34 tff(650,plain,(
% 25.07/16.34 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(skolemize,[status(sab)],[649])).
% 25.07/16.34 tff(651,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[650, 646])).
% 25.07/16.34 tff(652,plain,
% 25.07/16.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(653,plain,
% 25.07/16.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(654,plain,
% 25.07/16.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[653, 652])).
% 25.07/16.34 tff(655,plain,
% 25.07/16.34 (~v130(constB1, bitIndex2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[654, 651, 444])).
% 25.07/16.34 tff(656,plain,
% 25.07/16.34 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(657,plain,
% 25.07/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[656])).
% 25.07/16.34 tff(658,plain,
% 25.07/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(659,plain,
% 25.07/16.34 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(660,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[659])).
% 25.07/16.34 tff(661,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex2))) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 25.07/16.34 tff(662,plain,
% 25.07/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[661, 660])).
% 25.07/16.34 tff(663,plain,
% 25.07/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[662, 658])).
% 25.07/16.34 tff(664,plain,(
% 25.07/16.34 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(skolemize,[status(sab)],[663])).
% 25.07/16.34 tff(665,plain,
% 25.07/16.34 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[664, 657])).
% 25.07/16.34 tff(666,plain,
% 25.07/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(667,plain,
% 25.07/16.34 ((v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2))) <=> ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(668,plain,
% 25.07/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)))),
% 25.07/16.34 inference(monotonicity,[status(thm)],[667])).
% 25.07/16.34 tff(669,plain,
% 25.07/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 25.07/16.34 inference(transitivity,[status(thm)],[668, 666])).
% 25.07/16.34 tff(670,plain,
% 25.07/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(671,plain,
% 25.07/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[670, 669])).
% 25.07/16.34 tff(672,plain,
% 25.07/16.34 ((~v127(constB1, bitIndex2)) | v26(constB1)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[671, 665, 655])).
% 25.07/16.34 tff(673,plain,
% 25.07/16.34 (~v127(constB1, bitIndex2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[672, 326])).
% 25.07/16.34 tff(674,plain,
% 25.07/16.34 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(675,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[674])).
% 25.07/16.34 tff(676,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(677,plain,
% 25.07/16.34 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(678,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[677])).
% 25.07/16.34 tff(679,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex2))) | v127(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 25.07/16.34 tff(680,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[679, 678])).
% 25.07/16.34 tff(681,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[680, 676])).
% 25.07/16.34 tff(682,plain,(
% 25.07/16.34 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(skolemize,[status(sab)],[681])).
% 25.07/16.34 tff(683,plain,
% 25.07/16.34 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[682, 675])).
% 25.07/16.34 tff(684,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(685,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(686,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[685, 684])).
% 25.07/16.34 tff(687,plain,
% 25.07/16.34 (v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[686, 683, 554])).
% 25.07/16.34 tff(688,plain,
% 25.07/16.34 (~v129(constB2, bitIndex2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[687, 673])).
% 25.07/16.34 tff(689,plain,
% 25.07/16.34 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(690,plain,
% 25.07/16.34 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[689])).
% 25.07/16.34 tff(691,plain,
% 25.07/16.34 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(692,plain,
% 25.07/16.34 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(693,plain,
% 25.07/16.34 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[692])).
% 25.07/16.34 tff(694,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex2))) | v129(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_6')).
% 25.07/16.34 tff(695,plain,
% 25.07/16.34 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[694, 693])).
% 25.07/16.34 tff(696,plain,
% 25.07/16.34 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[695, 691])).
% 25.07/16.34 tff(697,plain,(
% 25.07/16.34 ![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(skolemize,[status(sab)],[696])).
% 25.07/16.34 tff(698,plain,
% 25.07/16.34 (![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[697, 690])).
% 25.07/16.34 tff(699,plain,
% 25.07/16.34 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(700,plain,
% 25.07/16.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(701,plain,
% 25.07/16.34 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[700, 699])).
% 25.07/16.34 tff(702,plain,
% 25.07/16.34 ((~v90(constB2, bitIndex2)) | (~v100(constB2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[701, 698, 688])).
% 25.07/16.34 tff(703,plain,
% 25.07/16.34 (~v90(constB2, bitIndex2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[702, 644])).
% 25.07/16.34 tff(704,plain,
% 25.07/16.34 ((~v1(constB3)) <=> (~v1(constB3))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(705,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 25.07/16.34 tff(706,plain,
% 25.07/16.34 (~v1(constB3)),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[705, 704])).
% 25.07/16.34 tff(707,plain,
% 25.07/16.34 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(708,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 25.07/16.34 tff(709,plain,
% 25.07/16.34 (nextState(constB2, constB3)),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[708, 707])).
% 25.07/16.34 tff(710,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(711,plain,
% 25.07/16.34 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(712,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 25.07/16.34 inference(monotonicity,[status(thm)],[711])).
% 25.07/16.34 tff(713,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 25.07/16.34 inference(transitivity,[status(thm)],[712, 710])).
% 25.07/16.34 tff(714,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(715,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[714, 713])).
% 25.07/16.34 tff(716,plain,
% 25.07/16.34 (~v101(constB3)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[715, 342, 709, 706])).
% 25.07/16.34 tff(717,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(718,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(719,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[718, 717])).
% 25.07/16.34 tff(720,plain,
% 25.07/16.34 (v101(constB3) | (~v100(constB3))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[719, 359, 709])).
% 25.07/16.34 tff(721,plain,
% 25.07/16.34 (~v100(constB3)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[720, 716])).
% 25.07/16.34 tff(722,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(723,plain,
% 25.07/16.34 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(724,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))))),
% 25.07/16.34 inference(monotonicity,[status(thm)],[723])).
% 25.07/16.34 tff(725,plain,
% 25.07/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 25.07/16.34 inference(transitivity,[status(thm)],[724, 722])).
% 25.07/16.34 tff(726,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(727,plain,
% 25.07/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[726, 725])).
% 25.07/16.34 tff(728,plain,
% 25.07/16.34 (v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[727, 374, 709])).
% 25.07/16.34 tff(729,plain,
% 25.07/16.34 (v90(constB2, bitIndex2) | (~v90(constB3, bitIndex2))),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[728, 721])).
% 25.07/16.34 tff(730,plain,
% 25.07/16.34 (~v90(constB3, bitIndex2)),
% 25.07/16.34 inference(unit_resolution,[status(thm)],[729, 703])).
% 25.07/16.34 tff(731,plain,
% 25.07/16.34 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 25.07/16.34 inference(bind,[status(th)],[])).
% 25.07/16.34 tff(732,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.34 inference(quant_intro,[status(thm)],[731])).
% 25.07/16.34 tff(733,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(734,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 25.07/16.34 tff(735,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[734, 733])).
% 25.07/16.34 tff(736,plain,(
% 25.07/16.34 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.34 inference(skolemize,[status(sab)],[735])).
% 25.07/16.34 tff(737,plain,
% 25.07/16.34 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.34 inference(modus_ponens,[status(thm)],[736, 732])).
% 25.07/16.34 tff(738,plain,
% 25.07/16.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 25.07/16.34 inference(rewrite,[status(thm)],[])).
% 25.07/16.34 tff(739,plain,
% 25.07/16.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 25.07/16.34 inference(quant_inst,[status(thm)],[])).
% 25.07/16.34 tff(740,plain,
% 25.07/16.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[739, 738])).
% 25.07/16.35 tff(741,plain,
% 25.07/16.35 (~v130(constB1, bitIndex1)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[740, 737, 444])).
% 25.07/16.35 tff(742,plain,
% 25.07/16.35 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(743,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[742])).
% 25.07/16.35 tff(744,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(745,plain,
% 25.07/16.35 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(746,plain,
% 25.07/16.35 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[745])).
% 25.07/16.35 tff(747,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex1))) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 25.07/16.35 tff(748,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[747, 746])).
% 25.07/16.35 tff(749,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[748, 744])).
% 25.07/16.35 tff(750,plain,(
% 25.07/16.35 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(skolemize,[status(sab)],[749])).
% 25.07/16.35 tff(751,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[750, 743])).
% 25.07/16.35 tff(752,plain,
% 25.07/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(753,plain,
% 25.07/16.35 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(754,plain,
% 25.07/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 25.07/16.35 inference(monotonicity,[status(thm)],[753])).
% 25.07/16.35 tff(755,plain,
% 25.07/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 25.07/16.35 inference(transitivity,[status(thm)],[754, 752])).
% 25.07/16.35 tff(756,plain,
% 25.07/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(757,plain,
% 25.07/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[756, 755])).
% 25.07/16.35 tff(758,plain,
% 25.07/16.35 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[757, 751, 741])).
% 25.07/16.35 tff(759,plain,
% 25.07/16.35 (~v127(constB1, bitIndex1)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[758, 326])).
% 25.07/16.35 tff(760,plain,
% 25.07/16.35 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(761,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[760])).
% 25.07/16.35 tff(762,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(763,plain,
% 25.07/16.35 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(764,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[763])).
% 25.07/16.35 tff(765,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex1))) | v127(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 25.07/16.35 tff(766,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[765, 764])).
% 25.07/16.35 tff(767,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[766, 762])).
% 25.07/16.35 tff(768,plain,(
% 25.07/16.35 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(skolemize,[status(sab)],[767])).
% 25.07/16.35 tff(769,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[768, 761])).
% 25.07/16.35 tff(770,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(771,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(772,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[771, 770])).
% 25.07/16.35 tff(773,plain,
% 25.07/16.35 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[772, 769, 554])).
% 25.07/16.35 tff(774,plain,
% 25.07/16.35 (~v129(constB2, bitIndex1)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[773, 759])).
% 25.07/16.35 tff(775,plain,
% 25.07/16.35 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(776,plain,
% 25.07/16.35 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[775])).
% 25.07/16.35 tff(777,plain,
% 25.07/16.35 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(778,plain,
% 25.07/16.35 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(779,plain,
% 25.07/16.35 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[778])).
% 25.07/16.35 tff(780,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex1))) | v129(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_4')).
% 25.07/16.35 tff(781,plain,
% 25.07/16.35 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[780, 779])).
% 25.07/16.35 tff(782,plain,
% 25.07/16.35 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[781, 777])).
% 25.07/16.35 tff(783,plain,(
% 25.07/16.35 ![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(skolemize,[status(sab)],[782])).
% 25.07/16.35 tff(784,plain,
% 25.07/16.35 (![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[783, 776])).
% 25.07/16.35 tff(785,plain,
% 25.07/16.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(786,plain,
% 25.07/16.35 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(787,plain,
% 25.07/16.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 25.07/16.35 inference(monotonicity,[status(thm)],[786])).
% 25.07/16.35 tff(788,plain,
% 25.07/16.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 25.07/16.35 inference(transitivity,[status(thm)],[787, 785])).
% 25.07/16.35 tff(789,plain,
% 25.07/16.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(790,plain,
% 25.07/16.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[789, 788])).
% 25.07/16.35 tff(791,plain,
% 25.07/16.35 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[790, 784, 774])).
% 25.07/16.35 tff(792,plain,
% 25.07/16.35 (~v90(constB2, bitIndex1)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[791, 644])).
% 25.07/16.35 tff(793,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(794,plain,
% 25.07/16.35 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(795,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 25.07/16.35 inference(monotonicity,[status(thm)],[794])).
% 25.07/16.35 tff(796,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 25.07/16.35 inference(transitivity,[status(thm)],[795, 793])).
% 25.07/16.35 tff(797,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(798,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[797, 796])).
% 25.07/16.35 tff(799,plain,
% 25.07/16.35 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[798, 395, 709])).
% 25.07/16.35 tff(800,plain,
% 25.07/16.35 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[799, 721])).
% 25.07/16.35 tff(801,plain,
% 25.07/16.35 (~v90(constB3, bitIndex1)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[800, 792])).
% 25.07/16.35 tff(802,plain,
% 25.07/16.35 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(803,plain,
% 25.07/16.35 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[802])).
% 25.07/16.35 tff(804,plain,
% 25.07/16.35 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(805,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 25.07/16.35 tff(806,plain,
% 25.07/16.35 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[805, 804])).
% 25.07/16.35 tff(807,plain,(
% 25.07/16.35 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.35 inference(skolemize,[status(sab)],[806])).
% 25.07/16.35 tff(808,plain,
% 25.07/16.35 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[807, 803])).
% 25.07/16.35 tff(809,plain,
% 25.07/16.35 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(810,plain,
% 25.07/16.35 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(811,plain,
% 25.07/16.35 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0)),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[810, 809])).
% 25.07/16.35 tff(812,plain,
% 25.07/16.35 (v130(constB1, bitIndex0)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[811, 808, 444])).
% 25.07/16.35 tff(813,plain,
% 25.07/16.35 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(814,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[813])).
% 25.07/16.35 tff(815,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(816,plain,
% 25.07/16.35 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(817,plain,
% 25.07/16.35 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[816])).
% 25.07/16.35 tff(818,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex0))) | v127(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 25.07/16.35 tff(819,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[818, 817])).
% 25.07/16.35 tff(820,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[819, 815])).
% 25.07/16.35 tff(821,plain,(
% 25.07/16.35 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(skolemize,[status(sab)],[820])).
% 25.07/16.35 tff(822,plain,
% 25.07/16.35 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[821, 814])).
% 25.07/16.35 tff(823,plain,
% 25.07/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(824,plain,
% 25.07/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(825,plain,
% 25.07/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0)),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[824, 823])).
% 25.07/16.35 tff(826,plain,
% 25.07/16.35 (v26(constB1) | v127(constB1, bitIndex0)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[825, 822, 812])).
% 25.07/16.35 tff(827,plain,
% 25.07/16.35 (v127(constB1, bitIndex0)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[826, 326])).
% 25.07/16.35 tff(828,plain,
% 25.07/16.35 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(829,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[828])).
% 25.07/16.35 tff(830,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(831,plain,
% 25.07/16.35 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(832,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[831])).
% 25.07/16.35 tff(833,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0))) | v129(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 25.07/16.35 tff(834,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[833, 832])).
% 25.07/16.35 tff(835,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[834, 830])).
% 25.07/16.35 tff(836,plain,(
% 25.07/16.35 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(skolemize,[status(sab)],[835])).
% 25.07/16.35 tff(837,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[836, 829])).
% 25.07/16.35 tff(838,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(839,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(840,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[839, 838])).
% 25.07/16.35 tff(841,plain,
% 25.07/16.35 ((~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[840, 837, 554])).
% 25.07/16.35 tff(842,plain,
% 25.07/16.35 (v129(constB2, bitIndex0)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[841, 827])).
% 25.07/16.35 tff(843,plain,
% 25.07/16.35 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(844,plain,
% 25.07/16.35 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[843])).
% 25.07/16.35 tff(845,plain,
% 25.07/16.35 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(846,plain,
% 25.07/16.35 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0)) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(847,plain,
% 25.07/16.35 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[846])).
% 25.07/16.35 tff(848,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex0))) | v90(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_1')).
% 25.07/16.35 tff(849,plain,
% 25.07/16.35 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[848, 847])).
% 25.07/16.35 tff(850,plain,
% 25.07/16.35 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[849, 845])).
% 25.07/16.35 tff(851,plain,(
% 25.07/16.35 ![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(skolemize,[status(sab)],[850])).
% 25.07/16.35 tff(852,plain,
% 25.07/16.35 (![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[851, 844])).
% 25.07/16.35 tff(853,plain,
% 25.07/16.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(854,plain,
% 25.07/16.35 ((v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(855,plain,
% 25.07/16.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))))),
% 25.07/16.35 inference(monotonicity,[status(thm)],[854])).
% 25.07/16.35 tff(856,plain,
% 25.07/16.35 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 25.07/16.35 inference(transitivity,[status(thm)],[855, 853])).
% 25.07/16.35 tff(857,plain,
% 25.07/16.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(858,plain,
% 25.07/16.35 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[857, 856])).
% 25.07/16.35 tff(859,plain,
% 25.07/16.35 (v90(constB2, bitIndex0) | (~v100(constB2))),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[858, 852, 842])).
% 25.07/16.35 tff(860,plain,
% 25.07/16.35 (v90(constB2, bitIndex0)),
% 25.07/16.35 inference(unit_resolution,[status(thm)],[859, 644])).
% 25.07/16.35 tff(861,plain,
% 25.07/16.35 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(862,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[861])).
% 25.07/16.35 tff(863,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(864,plain,
% 25.07/16.35 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)) | v90(VarNext, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext)) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 25.07/16.35 inference(bind,[status(th)],[])).
% 25.07/16.35 tff(865,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(quant_intro,[status(thm)],[864])).
% 25.07/16.35 tff(866,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex0))) | v90(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_1')).
% 25.07/16.35 tff(867,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[866, 865])).
% 25.07/16.35 tff(868,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[867, 863])).
% 25.07/16.35 tff(869,plain,(
% 25.07/16.35 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(skolemize,[status(sab)],[868])).
% 25.07/16.35 tff(870,plain,
% 25.07/16.35 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 25.07/16.35 inference(modus_ponens,[status(thm)],[869, 862])).
% 25.07/16.35 tff(871,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(872,plain,
% 25.07/16.35 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 25.07/16.35 inference(rewrite,[status(thm)],[])).
% 25.07/16.35 tff(873,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)))),
% 25.07/16.35 inference(monotonicity,[status(thm)],[872])).
% 25.07/16.35 tff(874,plain,
% 25.07/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 25.07/16.35 inference(transitivity,[status(thm)],[873, 871])).
% 25.07/16.35 tff(875,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))),
% 25.07/16.35 inference(quant_inst,[status(thm)],[])).
% 25.07/16.35 tff(876,plain,
% 25.07/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[875, 874])).
% 25.07/16.36 tff(877,plain,
% 25.07/16.36 ((~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[876, 870, 709])).
% 25.07/16.36 tff(878,plain,
% 25.07/16.36 ((~v90(constB2, bitIndex0)) | v90(constB3, bitIndex0)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[877, 721])).
% 25.07/16.36 tff(879,plain,
% 25.07/16.36 (v90(constB3, bitIndex0)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[878, 860])).
% 25.07/16.36 tff(880,plain,
% 25.07/16.36 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)))),
% 25.07/16.36 inference(bind,[status(th)],[])).
% 25.07/16.36 tff(881,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(quant_intro,[status(thm)],[880])).
% 25.07/16.36 tff(882,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(883,plain,
% 25.07/16.36 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))), ((((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))))),
% 25.07/16.36 inference(bind,[status(th)],[])).
% 25.07/16.36 tff(884,plain,
% 25.07/16.36 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(quant_intro,[status(thm)],[883])).
% 25.07/16.36 tff(885,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex0))) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 25.07/16.36 tff(886,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[885, 884])).
% 25.07/16.36 tff(887,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[886, 882])).
% 25.07/16.36 tff(888,plain,(
% 25.07/16.36 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(skolemize,[status(sab)],[887])).
% 25.07/16.36 tff(889,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[888, 881])).
% 25.07/16.36 tff(890,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(891,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(892,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[891, 890])).
% 25.07/16.36 tff(893,plain,
% 25.07/16.36 (v120(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[892, 889, 879, 801, 730])).
% 25.07/16.36 tff(894,plain,
% 25.07/16.36 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 25.07/16.36 inference(bind,[status(th)],[])).
% 25.07/16.36 tff(895,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 25.07/16.36 inference(quant_intro,[status(thm)],[894])).
% 25.07/16.36 tff(896,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(897,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 25.07/16.36 tff(898,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[897, 896])).
% 25.07/16.36 tff(899,plain,(
% 25.07/16.36 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 25.07/16.36 inference(skolemize,[status(sab)],[898])).
% 25.07/16.36 tff(900,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[899, 895])).
% 25.07/16.36 tff(901,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(902,plain,
% 25.07/16.36 (((~v120(constB3)) | v118(constB3)) <=> (v118(constB3) | (~v120(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(903,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[902])).
% 25.07/16.36 tff(904,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[903, 901])).
% 25.07/16.36 tff(905,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(906,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[905, 904])).
% 25.07/16.36 tff(907,plain,
% 25.07/16.36 (v118(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[906, 900, 893])).
% 25.07/16.36 tff(908,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(909,plain,
% 25.07/16.36 (((~v118(constB3)) | v117(constB3)) <=> (v117(constB3) | (~v118(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(910,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[909])).
% 25.07/16.36 tff(911,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[910, 908])).
% 25.07/16.36 tff(912,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(913,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[912, 911])).
% 25.07/16.36 tff(914,plain,
% 25.07/16.36 (v117(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[913, 462, 907])).
% 25.07/16.36 tff(915,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(916,plain,
% 25.07/16.36 (((~v117(constB3)) | v116(constB3)) <=> (v116(constB3) | (~v117(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(917,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[916])).
% 25.07/16.36 tff(918,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[917, 915])).
% 25.07/16.36 tff(919,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(920,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[919, 918])).
% 25.07/16.36 tff(921,plain,
% 25.07/16.36 (v116(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[920, 476, 914])).
% 25.07/16.36 tff(922,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB3)) | v115(constB3))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(923,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(924,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB3)) | v115(constB3)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[923, 922])).
% 25.07/16.36 tff(925,plain,
% 25.07/16.36 (v115(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[924, 490, 921])).
% 25.07/16.36 tff(926,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(927,plain,
% 25.07/16.36 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(928,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[927])).
% 25.07/16.36 tff(929,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[928, 926])).
% 25.07/16.36 tff(930,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(931,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[930, 929])).
% 25.07/16.36 tff(932,plain,
% 25.07/16.36 (v114(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[931, 504, 925])).
% 25.07/16.36 tff(933,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(934,plain,
% 25.07/16.36 (((~v114(constB3)) | v113(constB3)) <=> (v113(constB3) | (~v114(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(935,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[934])).
% 25.07/16.36 tff(936,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[935, 933])).
% 25.07/16.36 tff(937,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(938,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[937, 936])).
% 25.07/16.36 tff(939,plain,
% 25.07/16.36 (v113(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[938, 518, 932])).
% 25.07/16.36 tff(940,assumption,(v26(constB3)), introduced(assumption)).
% 25.07/16.36 tff(941,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(942,plain,
% 25.07/16.36 ($false),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[941, 120, 940])).
% 25.07/16.36 tff(943,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 25.07/16.36 tff(944,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(945,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(946,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[945, 944])).
% 25.07/16.36 tff(947,plain,
% 25.07/16.36 ((~v113(constB3)) | v112(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[946, 532, 943])).
% 25.07/16.36 tff(948,plain,
% 25.07/16.36 (v112(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[947, 939])).
% 25.07/16.36 tff(949,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(950,plain,
% 25.07/16.36 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(951,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[950])).
% 25.07/16.36 tff(952,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[951, 949])).
% 25.07/16.36 tff(953,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(954,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[953, 952])).
% 25.07/16.36 tff(955,plain,
% 25.07/16.36 (v108(constB3)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[954, 544, 948])).
% 25.07/16.36 tff(956,plain,
% 25.07/16.36 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(957,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 25.07/16.36 tff(958,plain,
% 25.07/16.36 (nextState(constB3, constB4)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[957, 956])).
% 25.07/16.36 tff(959,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(960,plain,
% 25.07/16.36 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(961,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[960])).
% 25.07/16.36 tff(962,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[961, 959])).
% 25.07/16.36 tff(963,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(964,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[963, 962])).
% 25.07/16.36 tff(965,plain,
% 25.07/16.36 (v110(constB4) | (~v108(constB3))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[964, 564, 958])).
% 25.07/16.36 tff(966,plain,
% 25.07/16.36 (v110(constB4)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[965, 955])).
% 25.07/16.36 tff(967,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(968,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(969,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[968, 967])).
% 25.07/16.36 tff(970,plain,
% 25.07/16.36 (~v104(constB4)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[969, 582, 958, 706])).
% 25.07/16.36 tff(971,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(972,plain,
% 25.07/16.36 (((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(973,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[972])).
% 25.07/16.36 tff(974,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4))),
% 25.07/16.36 inference(transitivity,[status(thm)],[973, 971])).
% 25.07/16.36 tff(975,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(976,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | v102(constB4)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[975, 974])).
% 25.07/16.36 tff(977,plain,
% 25.07/16.36 (v104(constB4) | v102(constB4)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[976, 596, 958])).
% 25.07/16.36 tff(978,plain,
% 25.07/16.36 (v102(constB4)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[977, 970])).
% 25.07/16.36 tff(979,plain,
% 25.07/16.36 (v1(constB4) <=> v1(constB4)),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(980,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 25.07/16.36 tff(981,plain,
% 25.07/16.36 (v1(constB4)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[980, 979])).
% 25.07/16.36 tff(982,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(983,plain,
% 25.07/16.36 (((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))) <=> ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(984,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[983])).
% 25.07/16.36 tff(985,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[984, 982])).
% 25.07/16.36 tff(986,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(987,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | (~v1(constB4)) | v101(constB4) | (~v102(constB4))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[986, 985])).
% 25.07/16.36 tff(988,plain,
% 25.07/16.36 (v101(constB4) | (~v102(constB4))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[987, 617, 958, 981])).
% 25.07/16.36 tff(989,plain,
% 25.07/16.36 (v101(constB4)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[988, 978])).
% 25.07/16.36 tff(990,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(991,plain,
% 25.07/16.36 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(992,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[991])).
% 25.07/16.36 tff(993,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[992, 990])).
% 25.07/16.36 tff(994,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(995,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[994, 993])).
% 25.07/16.36 tff(996,plain,
% 25.07/16.36 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[995, 635, 958])).
% 25.07/16.36 tff(997,plain,
% 25.07/16.36 (v100(constB4) | (~v110(constB4))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[996, 989])).
% 25.07/16.36 tff(998,plain,
% 25.07/16.36 (v100(constB4)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[997, 966])).
% 25.07/16.36 tff(999,plain,
% 25.07/16.36 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 25.07/16.36 inference(bind,[status(th)],[])).
% 25.07/16.36 tff(1000,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.36 inference(quant_intro,[status(thm)],[999])).
% 25.07/16.36 tff(1001,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1002,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 25.07/16.36 tff(1003,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 25.07/16.36 tff(1004,plain,(
% 25.07/16.36 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.36 inference(skolemize,[status(sab)],[1003])).
% 25.07/16.36 tff(1005,plain,
% 25.07/16.36 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1004, 1000])).
% 25.07/16.36 tff(1006,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1007,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(1008,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 25.07/16.36 tff(1009,plain,
% 25.07/16.36 (~v130(constB3, bitIndex2)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1008, 1005, 893])).
% 25.07/16.36 tff(1010,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1011,plain,
% 25.07/16.36 ((v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2))) <=> ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1012,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[1011])).
% 25.07/16.36 tff(1013,plain,
% 25.07/16.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 25.07/16.36 inference(transitivity,[status(thm)],[1012, 1010])).
% 25.07/16.36 tff(1014,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(1015,plain,
% 25.07/16.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 25.07/16.36 tff(1016,plain,
% 25.07/16.36 ((~v127(constB3, bitIndex2)) | v130(constB3, bitIndex2)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1015, 665, 943])).
% 25.07/16.36 tff(1017,plain,
% 25.07/16.36 (~v127(constB3, bitIndex2)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1016, 1009])).
% 25.07/16.36 tff(1018,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1019,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(1020,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 25.07/16.36 tff(1021,plain,
% 25.07/16.36 (v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1020, 683, 958])).
% 25.07/16.36 tff(1022,plain,
% 25.07/16.36 (~v129(constB4, bitIndex2)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1021, 1017])).
% 25.07/16.36 tff(1023,plain,
% 25.07/16.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1024,plain,
% 25.07/16.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(1025,plain,
% 25.07/16.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 25.07/16.36 tff(1026,plain,
% 25.07/16.36 ((~v90(constB4, bitIndex2)) | (~v100(constB4))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1025, 698, 1022])).
% 25.07/16.36 tff(1027,plain,
% 25.07/16.36 (~v90(constB4, bitIndex2)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1026, 998])).
% 25.07/16.36 tff(1028,plain,
% 25.07/16.36 ((~v1(constB5)) <=> (~v1(constB5))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1029,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 25.07/16.36 tff(1030,plain,
% 25.07/16.36 (~v1(constB5)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 25.07/16.36 tff(1031,plain,
% 25.07/16.36 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1032,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 25.07/16.36 tff(1033,plain,
% 25.07/16.36 (nextState(constB4, constB5)),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1032, 1031])).
% 25.07/16.36 tff(1034,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1035,plain,
% 25.07/16.36 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1036,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[1035])).
% 25.07/16.36 tff(1037,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 25.07/16.36 inference(transitivity,[status(thm)],[1036, 1034])).
% 25.07/16.36 tff(1038,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(1039,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 25.07/16.36 tff(1040,plain,
% 25.07/16.36 (~v101(constB5)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1039, 342, 1033, 1030])).
% 25.07/16.36 tff(1041,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1042,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 25.07/16.36 inference(quant_inst,[status(thm)],[])).
% 25.07/16.36 tff(1043,plain,
% 25.07/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 25.07/16.36 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 25.07/16.36 tff(1044,plain,
% 25.07/16.36 (v101(constB5) | (~v100(constB5))),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1043, 359, 1033])).
% 25.07/16.36 tff(1045,plain,
% 25.07/16.36 (~v100(constB5)),
% 25.07/16.36 inference(unit_resolution,[status(thm)],[1044, 1040])).
% 25.07/16.36 tff(1046,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1047,plain,
% 25.07/16.36 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 25.07/16.36 inference(rewrite,[status(thm)],[])).
% 25.07/16.36 tff(1048,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))))),
% 25.07/16.36 inference(monotonicity,[status(thm)],[1047])).
% 25.07/16.36 tff(1049,plain,
% 25.07/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 25.07/16.37 inference(transitivity,[status(thm)],[1048, 1046])).
% 25.07/16.37 tff(1050,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1051,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 25.07/16.37 tff(1052,plain,
% 25.07/16.37 (v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1051, 374, 1033])).
% 25.07/16.37 tff(1053,plain,
% 25.07/16.37 (v90(constB4, bitIndex2) | (~v90(constB5, bitIndex2))),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1052, 1045])).
% 25.07/16.37 tff(1054,plain,
% 25.07/16.37 (~v90(constB5, bitIndex2)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1053, 1027])).
% 25.07/16.37 tff(1055,plain,
% 25.07/16.37 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1056,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1055])).
% 25.07/16.37 tff(1057,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1058,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 25.07/16.37 tff(1059,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 25.07/16.37 tff(1060,plain,(
% 25.07/16.37 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1059])).
% 25.07/16.37 tff(1061,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1060, 1056])).
% 25.07/16.37 tff(1062,plain,
% 25.07/16.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1063,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1064,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1)),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 25.07/16.37 tff(1065,plain,
% 25.07/16.37 (v130(constB3, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1064, 1061, 893])).
% 25.07/16.37 tff(1066,plain,
% 25.07/16.37 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1067,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1066])).
% 25.07/16.37 tff(1068,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1069,plain,
% 25.07/16.37 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1070,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1069])).
% 25.07/16.37 tff(1071,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex1))) | v127(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 25.07/16.37 tff(1072,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 25.07/16.37 tff(1073,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1072, 1068])).
% 25.07/16.37 tff(1074,plain,(
% 25.07/16.37 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1073])).
% 25.07/16.37 tff(1075,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1074, 1067])).
% 25.07/16.37 tff(1076,plain,
% 25.07/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1077,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1078,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 25.07/16.37 tff(1079,plain,
% 25.07/16.37 ((~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1078, 1075, 943])).
% 25.07/16.37 tff(1080,plain,
% 25.07/16.37 (v127(constB3, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1079, 1065])).
% 25.07/16.37 tff(1081,plain,
% 25.07/16.37 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1082,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1081])).
% 25.07/16.37 tff(1083,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1084,plain,
% 25.07/16.37 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1085,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1084])).
% 25.07/16.37 tff(1086,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1))) | v129(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 25.07/16.37 tff(1087,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 25.07/16.37 tff(1088,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1087, 1083])).
% 25.07/16.37 tff(1089,plain,(
% 25.07/16.37 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1088])).
% 25.07/16.37 tff(1090,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1089, 1082])).
% 25.07/16.37 tff(1091,plain,
% 25.07/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1092,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1093,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 25.07/16.37 tff(1094,plain,
% 25.07/16.37 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1093, 1090, 958])).
% 25.07/16.37 tff(1095,plain,
% 25.07/16.37 (v129(constB4, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1094, 1080])).
% 25.07/16.37 tff(1096,plain,
% 25.07/16.37 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1097,plain,
% 25.07/16.37 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1096])).
% 25.07/16.37 tff(1098,plain,
% 25.07/16.37 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1099,plain,
% 25.07/16.37 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1)) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1100,plain,
% 25.07/16.37 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1099])).
% 25.07/16.37 tff(1101,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex1))) | v90(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_3')).
% 25.07/16.37 tff(1102,plain,
% 25.07/16.37 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 25.07/16.37 tff(1103,plain,
% 25.07/16.37 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1102, 1098])).
% 25.07/16.37 tff(1104,plain,(
% 25.07/16.37 ![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1103])).
% 25.07/16.37 tff(1105,plain,
% 25.07/16.37 (![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1104, 1097])).
% 25.07/16.37 tff(1106,plain,
% 25.07/16.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1107,plain,
% 25.07/16.37 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1108,plain,
% 25.07/16.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 25.07/16.37 inference(monotonicity,[status(thm)],[1107])).
% 25.07/16.37 tff(1109,plain,
% 25.07/16.37 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 25.07/16.37 inference(transitivity,[status(thm)],[1108, 1106])).
% 25.07/16.37 tff(1110,plain,
% 25.07/16.37 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1111,plain,
% 25.07/16.37 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 25.07/16.37 tff(1112,plain,
% 25.07/16.37 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1111, 1105, 1095])).
% 25.07/16.37 tff(1113,plain,
% 25.07/16.37 (v90(constB4, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1112, 998])).
% 25.07/16.37 tff(1114,plain,
% 25.07/16.37 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1115,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1114])).
% 25.07/16.37 tff(1116,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1117,plain,
% 25.07/16.37 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)) | v90(VarNext, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext)) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1118,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1117])).
% 25.07/16.37 tff(1119,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex1))) | v90(VarNext, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_3')).
% 25.07/16.37 tff(1120,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 25.07/16.37 tff(1121,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1120, 1116])).
% 25.07/16.37 tff(1122,plain,(
% 25.07/16.37 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1121])).
% 25.07/16.37 tff(1123,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1122, 1115])).
% 25.07/16.37 tff(1124,plain,
% 25.07/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1125,plain,
% 25.07/16.37 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1126,plain,
% 25.07/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 25.07/16.37 inference(monotonicity,[status(thm)],[1125])).
% 25.07/16.37 tff(1127,plain,
% 25.07/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 25.07/16.37 inference(transitivity,[status(thm)],[1126, 1124])).
% 25.07/16.37 tff(1128,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1129,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1128, 1127])).
% 25.07/16.37 tff(1130,plain,
% 25.07/16.37 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1129, 1123, 1033])).
% 25.07/16.37 tff(1131,plain,
% 25.07/16.37 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1130, 1045])).
% 25.07/16.37 tff(1132,plain,
% 25.07/16.37 (v90(constB5, bitIndex1)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1131, 1113])).
% 25.07/16.37 tff(1133,plain,
% 25.07/16.37 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1134,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1133])).
% 25.07/16.37 tff(1135,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1136,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 25.07/16.37 tff(1137,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 25.07/16.37 tff(1138,plain,(
% 25.07/16.37 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1137])).
% 25.07/16.37 tff(1139,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1138, 1134])).
% 25.07/16.37 tff(1140,plain,
% 25.07/16.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1141,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1142,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 25.07/16.37 tff(1143,plain,
% 25.07/16.37 (~v130(constB3, bitIndex0)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1142, 1139, 893])).
% 25.07/16.37 tff(1144,plain,
% 25.07/16.37 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1145,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1144])).
% 25.07/16.37 tff(1146,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1147,plain,
% 25.07/16.37 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1148,plain,
% 25.07/16.37 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1147])).
% 25.07/16.37 tff(1149,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, bitIndex0))) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 25.07/16.37 tff(1150,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 25.07/16.37 tff(1151,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1150, 1146])).
% 25.07/16.37 tff(1152,plain,(
% 25.07/16.37 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1151])).
% 25.07/16.37 tff(1153,plain,
% 25.07/16.37 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1152, 1145])).
% 25.07/16.37 tff(1154,plain,
% 25.07/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1155,plain,
% 25.07/16.37 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1156,plain,
% 25.07/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 25.07/16.37 inference(monotonicity,[status(thm)],[1155])).
% 25.07/16.37 tff(1157,plain,
% 25.07/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 25.07/16.37 inference(transitivity,[status(thm)],[1156, 1154])).
% 25.07/16.37 tff(1158,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1159,plain,
% 25.07/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 25.07/16.37 tff(1160,plain,
% 25.07/16.37 ((~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1159, 1153, 943])).
% 25.07/16.37 tff(1161,plain,
% 25.07/16.37 (~v127(constB3, bitIndex0)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1160, 1143])).
% 25.07/16.37 tff(1162,plain,
% 25.07/16.37 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1163,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1162])).
% 25.07/16.37 tff(1164,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1165,plain,
% 25.07/16.37 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1166,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1165])).
% 25.07/16.37 tff(1167,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, bitIndex0))) | v127(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 25.07/16.37 tff(1168,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1167, 1166])).
% 25.07/16.37 tff(1169,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1168, 1164])).
% 25.07/16.37 tff(1170,plain,(
% 25.07/16.37 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1169])).
% 25.07/16.37 tff(1171,plain,
% 25.07/16.37 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1170, 1163])).
% 25.07/16.37 tff(1172,plain,
% 25.07/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1173,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 25.07/16.37 inference(quant_inst,[status(thm)],[])).
% 25.07/16.37 tff(1174,plain,
% 25.07/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 25.07/16.37 tff(1175,plain,
% 25.07/16.37 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1174, 1171, 958])).
% 25.07/16.37 tff(1176,plain,
% 25.07/16.37 (~v129(constB4, bitIndex0)),
% 25.07/16.37 inference(unit_resolution,[status(thm)],[1175, 1161])).
% 25.07/16.37 tff(1177,plain,
% 25.07/16.37 (^[VarNext: state_type] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1178,plain,
% 25.07/16.37 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1177])).
% 25.07/16.37 tff(1179,plain,
% 25.07/16.37 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1180,plain,
% 25.07/16.37 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 25.07/16.37 inference(bind,[status(th)],[])).
% 25.07/16.37 tff(1181,plain,
% 25.07/16.37 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(quant_intro,[status(thm)],[1180])).
% 25.07/16.37 tff(1182,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, bitIndex0))) | v129(VarNext, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_2')).
% 25.07/16.37 tff(1183,plain,
% 25.07/16.37 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 25.07/16.37 tff(1184,plain,
% 25.07/16.37 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1183, 1179])).
% 25.07/16.37 tff(1185,plain,(
% 25.07/16.37 ![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(skolemize,[status(sab)],[1184])).
% 25.07/16.37 tff(1186,plain,
% 25.07/16.37 (![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 25.07/16.37 inference(modus_ponens,[status(thm)],[1185, 1178])).
% 25.07/16.37 tff(1187,plain,
% 25.07/16.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1188,plain,
% 25.07/16.37 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 25.07/16.37 inference(rewrite,[status(thm)],[])).
% 25.07/16.37 tff(1189,plain,
% 25.07/16.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 25.07/16.37 inference(monotonicity,[status(thm)],[1188])).
% 25.07/16.37 tff(1190,plain,
% 25.07/16.37 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1189, 1187])).
% 25.07/16.38 tff(1191,plain,
% 25.07/16.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1192,plain,
% 25.07/16.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 25.07/16.38 tff(1193,plain,
% 25.07/16.38 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1192, 1186, 1176])).
% 25.07/16.38 tff(1194,plain,
% 25.07/16.38 (~v90(constB4, bitIndex0)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1193, 998])).
% 25.07/16.38 tff(1195,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1196,plain,
% 25.07/16.38 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1197,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1196])).
% 25.07/16.38 tff(1198,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1197, 1195])).
% 25.07/16.38 tff(1199,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1200,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 25.07/16.38 tff(1201,plain,
% 25.07/16.38 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1200, 416, 1033])).
% 25.07/16.38 tff(1202,plain,
% 25.07/16.38 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1201, 1045])).
% 25.07/16.38 tff(1203,plain,
% 25.07/16.38 (~v90(constB5, bitIndex0)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1202, 1194])).
% 25.07/16.38 tff(1204,plain,
% 25.07/16.38 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 25.07/16.38 inference(bind,[status(th)],[])).
% 25.07/16.38 tff(1205,plain,
% 25.07/16.38 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(quant_intro,[status(thm)],[1204])).
% 25.07/16.38 tff(1206,plain,
% 25.07/16.38 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1207,plain,
% 25.07/16.38 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 25.07/16.38 inference(bind,[status(th)],[])).
% 25.07/16.38 tff(1208,plain,
% 25.07/16.38 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(quant_intro,[status(thm)],[1207])).
% 25.07/16.38 tff(1209,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 25.07/16.38 tff(1210,plain,
% 25.07/16.38 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 25.07/16.38 tff(1211,plain,
% 25.07/16.38 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1210, 1206])).
% 25.07/16.38 tff(1212,plain,(
% 25.07/16.38 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(skolemize,[status(sab)],[1211])).
% 25.07/16.38 tff(1213,plain,
% 25.07/16.38 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1212, 1205])).
% 25.07/16.38 tff(1214,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1215,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1216,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5)),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 25.07/16.38 tff(1217,plain,
% 25.07/16.38 (v121(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1216, 1213, 1203, 1132, 1054])).
% 25.07/16.38 tff(1218,plain,
% 25.07/16.38 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 25.07/16.38 inference(bind,[status(th)],[])).
% 25.07/16.38 tff(1219,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 25.07/16.38 inference(quant_intro,[status(thm)],[1218])).
% 25.07/16.38 tff(1220,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1221,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 25.07/16.38 tff(1222,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 25.07/16.38 tff(1223,plain,(
% 25.07/16.38 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 25.07/16.38 inference(skolemize,[status(sab)],[1222])).
% 25.07/16.38 tff(1224,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1223, 1219])).
% 25.07/16.38 tff(1225,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB5)) | v117(constB5))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1226,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1227,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB5)) | v117(constB5)),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1226, 1225])).
% 25.07/16.38 tff(1228,plain,
% 25.07/16.38 (v117(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1227, 1224, 1217])).
% 25.07/16.38 tff(1229,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1230,plain,
% 25.07/16.38 (((~v117(constB5)) | v116(constB5)) <=> (v116(constB5) | (~v117(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1231,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB5) | (~v117(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1230])).
% 25.07/16.38 tff(1232,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1231, 1229])).
% 25.07/16.38 tff(1233,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1234,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 25.07/16.38 tff(1235,plain,
% 25.07/16.38 (v116(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1234, 476, 1228])).
% 25.07/16.38 tff(1236,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1237,plain,
% 25.07/16.38 (((~v116(constB5)) | v115(constB5)) <=> (v115(constB5) | (~v116(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1238,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1237])).
% 25.07/16.38 tff(1239,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1238, 1236])).
% 25.07/16.38 tff(1240,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1241,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 25.07/16.38 tff(1242,plain,
% 25.07/16.38 (v115(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1241, 490, 1235])).
% 25.07/16.38 tff(1243,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1244,plain,
% 25.07/16.38 (((~v115(constB5)) | v114(constB5)) <=> (v114(constB5) | (~v115(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1245,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB5) | (~v115(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1244])).
% 25.07/16.38 tff(1246,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1245, 1243])).
% 25.07/16.38 tff(1247,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1248,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1247, 1246])).
% 25.07/16.38 tff(1249,plain,
% 25.07/16.38 (v114(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1248, 504, 1242])).
% 25.07/16.38 tff(1250,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1251,plain,
% 25.07/16.38 (((~v114(constB5)) | v113(constB5)) <=> (v113(constB5) | (~v114(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1252,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1251])).
% 25.07/16.38 tff(1253,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1252, 1250])).
% 25.07/16.38 tff(1254,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1255,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 25.07/16.38 tff(1256,plain,
% 25.07/16.38 (v113(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1255, 518, 1249])).
% 25.07/16.38 tff(1257,assumption,(v26(constB5)), introduced(assumption)).
% 25.07/16.38 tff(1258,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1259,plain,
% 25.07/16.38 ($false),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1258, 120, 1257])).
% 25.07/16.38 tff(1260,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 25.07/16.38 tff(1261,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1262,plain,
% 25.07/16.38 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1263,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1262])).
% 25.07/16.38 tff(1264,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1263, 1261])).
% 25.07/16.38 tff(1265,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1266,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 25.07/16.38 tff(1267,plain,
% 25.07/16.38 (v112(constB5) | (~v113(constB5))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1266, 532, 1260])).
% 25.07/16.38 tff(1268,plain,
% 25.07/16.38 (v112(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1267, 1256])).
% 25.07/16.38 tff(1269,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1270,plain,
% 25.07/16.38 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1271,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1270])).
% 25.07/16.38 tff(1272,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1271, 1269])).
% 25.07/16.38 tff(1273,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1274,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 25.07/16.38 tff(1275,plain,
% 25.07/16.38 (v108(constB5)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1274, 544, 1268])).
% 25.07/16.38 tff(1276,plain,
% 25.07/16.38 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1277,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 25.07/16.38 tff(1278,plain,
% 25.07/16.38 (nextState(constB5, constB6)),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 25.07/16.38 tff(1279,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1280,plain,
% 25.07/16.38 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1281,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1280])).
% 25.07/16.38 tff(1282,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1281, 1279])).
% 25.07/16.38 tff(1283,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1284,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 25.07/16.38 tff(1285,plain,
% 25.07/16.38 (v110(constB6) | (~v108(constB5))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1284, 564, 1278])).
% 25.07/16.38 tff(1286,plain,
% 25.07/16.38 (v110(constB6)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1285, 1275])).
% 25.07/16.38 tff(1287,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1288,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1289,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 25.07/16.38 tff(1290,plain,
% 25.07/16.38 (~v104(constB6)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1289, 582, 1278, 1030])).
% 25.07/16.38 tff(1291,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1292,plain,
% 25.07/16.38 (((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1293,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1292])).
% 25.07/16.38 tff(1294,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1293, 1291])).
% 25.07/16.38 tff(1295,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1296,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | v102(constB6)),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 25.07/16.38 tff(1297,plain,
% 25.07/16.38 (v104(constB6) | v102(constB6)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1296, 596, 1278])).
% 25.07/16.38 tff(1298,plain,
% 25.07/16.38 (v102(constB6)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1297, 1290])).
% 25.07/16.38 tff(1299,plain,
% 25.07/16.38 (v1(constB6) <=> v1(constB6)),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1300,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 25.07/16.38 tff(1301,plain,
% 25.07/16.38 (v1(constB6)),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 25.07/16.38 tff(1302,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1303,plain,
% 25.07/16.38 (((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))) <=> ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1304,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1303])).
% 25.07/16.38 tff(1305,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1304, 1302])).
% 25.07/16.38 tff(1306,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1307,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | (~v1(constB6)) | v101(constB6) | (~v102(constB6))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 25.07/16.38 tff(1308,plain,
% 25.07/16.38 (v101(constB6) | (~v102(constB6))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1307, 617, 1278, 1301])).
% 25.07/16.38 tff(1309,plain,
% 25.07/16.38 (v101(constB6)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1308, 1298])).
% 25.07/16.38 tff(1310,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1311,plain,
% 25.07/16.38 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1312,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1311])).
% 25.07/16.38 tff(1313,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1312, 1310])).
% 25.07/16.38 tff(1314,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1315,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 25.07/16.38 tff(1316,plain,
% 25.07/16.38 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1315, 635, 1278])).
% 25.07/16.38 tff(1317,plain,
% 25.07/16.38 (v100(constB6) | (~v110(constB6))),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1316, 1309])).
% 25.07/16.38 tff(1318,plain,
% 25.07/16.38 (v100(constB6)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1317, 1286])).
% 25.07/16.38 tff(1319,plain,
% 25.07/16.38 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 25.07/16.38 inference(bind,[status(th)],[])).
% 25.07/16.38 tff(1320,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.38 inference(quant_intro,[status(thm)],[1319])).
% 25.07/16.38 tff(1321,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1322,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_3')).
% 25.07/16.38 tff(1323,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 25.07/16.38 tff(1324,plain,(
% 25.07/16.38 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.38 inference(skolemize,[status(sab)],[1323])).
% 25.07/16.38 tff(1325,plain,
% 25.07/16.38 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1324, 1320])).
% 25.07/16.38 tff(1326,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1327,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1328,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2))),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 25.07/16.38 tff(1329,plain,
% 25.07/16.38 (~v130(constB5, bitIndex2)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1328, 1325, 1217])).
% 25.07/16.38 tff(1330,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1331,plain,
% 25.07/16.38 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1332,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 25.07/16.38 inference(monotonicity,[status(thm)],[1331])).
% 25.07/16.38 tff(1333,plain,
% 25.07/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 25.07/16.38 inference(transitivity,[status(thm)],[1332, 1330])).
% 25.07/16.38 tff(1334,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1335,plain,
% 25.07/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 25.07/16.38 inference(modus_ponens,[status(thm)],[1334, 1333])).
% 25.07/16.38 tff(1336,plain,
% 25.07/16.38 ((~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1335, 665, 1260])).
% 25.07/16.38 tff(1337,plain,
% 25.07/16.38 (~v127(constB5, bitIndex2)),
% 25.07/16.38 inference(unit_resolution,[status(thm)],[1336, 1329])).
% 25.07/16.38 tff(1338,plain,
% 25.07/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 25.07/16.38 inference(rewrite,[status(thm)],[])).
% 25.07/16.38 tff(1339,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 25.07/16.38 inference(quant_inst,[status(thm)],[])).
% 25.07/16.38 tff(1340,plain,
% 25.07/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 25.07/16.39 tff(1341,plain,
% 25.07/16.39 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1340, 683, 1278])).
% 25.07/16.39 tff(1342,plain,
% 25.07/16.39 (~v129(constB6, bitIndex2)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1341, 1337])).
% 25.07/16.39 tff(1343,plain,
% 25.07/16.39 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1344,plain,
% 25.07/16.39 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1345,plain,
% 25.07/16.39 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 25.07/16.39 tff(1346,plain,
% 25.07/16.39 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1345, 698, 1342])).
% 25.07/16.39 tff(1347,plain,
% 25.07/16.39 (~v90(constB6, bitIndex2)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1346, 1318])).
% 25.07/16.39 tff(1348,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1349,plain,
% 25.07/16.39 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1350,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1349])).
% 25.07/16.39 tff(1351,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1350, 1348])).
% 25.07/16.39 tff(1352,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1353,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 25.07/16.39 tff(1354,plain,
% 25.07/16.39 (~v101(constB7)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1353, 342, 138, 187])).
% 25.07/16.39 tff(1355,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1356,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1357,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 25.07/16.39 tff(1358,plain,
% 25.07/16.39 (v101(constB7) | (~v100(constB7))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1357, 359, 138])).
% 25.07/16.39 tff(1359,plain,
% 25.07/16.39 (~v100(constB7)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1358, 1354])).
% 25.07/16.39 tff(1360,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1361,plain,
% 25.07/16.39 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1362,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1361])).
% 25.07/16.39 tff(1363,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1362, 1360])).
% 25.07/16.39 tff(1364,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1365,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 25.07/16.39 tff(1366,plain,
% 25.07/16.39 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1365, 374, 138])).
% 25.07/16.39 tff(1367,plain,
% 25.07/16.39 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1366, 1359])).
% 25.07/16.39 tff(1368,plain,
% 25.07/16.39 (~v90(constB7, bitIndex2)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1367, 1347])).
% 25.07/16.39 tff(1369,plain,
% 25.07/16.39 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 25.07/16.39 inference(bind,[status(th)],[])).
% 25.07/16.39 tff(1370,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.39 inference(quant_intro,[status(thm)],[1369])).
% 25.07/16.39 tff(1371,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1372,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_2')).
% 25.07/16.39 tff(1373,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 25.07/16.39 tff(1374,plain,(
% 25.07/16.39 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.39 inference(skolemize,[status(sab)],[1373])).
% 25.07/16.39 tff(1375,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1374, 1370])).
% 25.07/16.39 tff(1376,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1377,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1378,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 25.07/16.39 tff(1379,plain,
% 25.07/16.39 (v130(constB5, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1378, 1375, 1217])).
% 25.07/16.39 tff(1380,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1381,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1382,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 25.07/16.39 tff(1383,plain,
% 25.07/16.39 ((~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1382, 1075, 1260])).
% 25.07/16.39 tff(1384,plain,
% 25.07/16.39 (v127(constB5, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1383, 1379])).
% 25.07/16.39 tff(1385,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1386,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1387,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 25.07/16.39 tff(1388,plain,
% 25.07/16.39 ((~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1387, 1090, 1278])).
% 25.07/16.39 tff(1389,plain,
% 25.07/16.39 (v129(constB6, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1388, 1384])).
% 25.07/16.39 tff(1390,plain,
% 25.07/16.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1391,plain,
% 25.07/16.39 ((v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1392,plain,
% 25.07/16.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1391])).
% 25.07/16.39 tff(1393,plain,
% 25.07/16.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1392, 1390])).
% 25.07/16.39 tff(1394,plain,
% 25.07/16.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1395,plain,
% 25.07/16.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1394, 1393])).
% 25.07/16.39 tff(1396,plain,
% 25.07/16.39 (v90(constB6, bitIndex1) | (~v100(constB6))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1395, 1105, 1389])).
% 25.07/16.39 tff(1397,plain,
% 25.07/16.39 (v90(constB6, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1396, 1318])).
% 25.07/16.39 tff(1398,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1399,plain,
% 25.07/16.39 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1400,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1399])).
% 25.07/16.39 tff(1401,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1400, 1398])).
% 25.07/16.39 tff(1402,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1403,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 25.07/16.39 tff(1404,plain,
% 25.07/16.39 ((~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1403, 1123, 138])).
% 25.07/16.39 tff(1405,plain,
% 25.07/16.39 ((~v90(constB6, bitIndex1)) | v90(constB7, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1404, 1359])).
% 25.07/16.39 tff(1406,plain,
% 25.07/16.39 (v90(constB7, bitIndex1)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1405, 1397])).
% 25.07/16.39 tff(1407,plain,
% 25.07/16.39 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 25.07/16.39 inference(bind,[status(th)],[])).
% 25.07/16.39 tff(1408,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.39 inference(quant_intro,[status(thm)],[1407])).
% 25.07/16.39 tff(1409,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1410,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1')).
% 25.07/16.39 tff(1411,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 25.07/16.39 tff(1412,plain,(
% 25.07/16.39 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.39 inference(skolemize,[status(sab)],[1411])).
% 25.07/16.39 tff(1413,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1412, 1408])).
% 25.07/16.39 tff(1414,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1415,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1416,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 25.07/16.39 tff(1417,plain,
% 25.07/16.39 (v130(constB5, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1416, 1413, 1217])).
% 25.07/16.39 tff(1418,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1419,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1420,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 25.07/16.39 tff(1421,plain,
% 25.07/16.39 ((~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1420, 822, 1260])).
% 25.07/16.39 tff(1422,plain,
% 25.07/16.39 (v127(constB5, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1421, 1417])).
% 25.07/16.39 tff(1423,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1424,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1425,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 25.07/16.39 tff(1426,plain,
% 25.07/16.39 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1425, 837, 1278])).
% 25.07/16.39 tff(1427,plain,
% 25.07/16.39 (v129(constB6, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1426, 1422])).
% 25.07/16.39 tff(1428,plain,
% 25.07/16.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1429,plain,
% 25.07/16.39 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1430,plain,
% 25.07/16.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1429])).
% 25.07/16.39 tff(1431,plain,
% 25.07/16.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1430, 1428])).
% 25.07/16.39 tff(1432,plain,
% 25.07/16.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1433,plain,
% 25.07/16.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 25.07/16.39 tff(1434,plain,
% 25.07/16.39 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1433, 852, 1427])).
% 25.07/16.39 tff(1435,plain,
% 25.07/16.39 (v90(constB6, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1434, 1318])).
% 25.07/16.39 tff(1436,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1437,plain,
% 25.07/16.39 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1438,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1437])).
% 25.07/16.39 tff(1439,plain,
% 25.07/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1438, 1436])).
% 25.07/16.39 tff(1440,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1441,plain,
% 25.07/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 25.07/16.39 tff(1442,plain,
% 25.07/16.39 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1441, 870, 138])).
% 25.07/16.39 tff(1443,plain,
% 25.07/16.39 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1442, 1359])).
% 25.07/16.39 tff(1444,plain,
% 25.07/16.39 (v90(constB7, bitIndex0)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1443, 1435])).
% 25.07/16.39 tff(1445,plain,
% 25.07/16.39 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 25.07/16.39 inference(bind,[status(th)],[])).
% 25.07/16.39 tff(1446,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(quant_intro,[status(thm)],[1445])).
% 25.07/16.39 tff(1447,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1448,plain,
% 25.07/16.39 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2))), (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex2)) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2))), (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2)) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 25.07/16.39 inference(bind,[status(th)],[])).
% 25.07/16.39 tff(1449,plain,
% 25.07/16.39 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(quant_intro,[status(thm)],[1448])).
% 25.07/16.39 tff(1450,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex1))) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 25.07/16.39 tff(1451,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 25.07/16.39 tff(1452,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1451, 1447])).
% 25.07/16.39 tff(1453,plain,(
% 25.07/16.39 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(skolemize,[status(sab)],[1452])).
% 25.07/16.39 tff(1454,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1453, 1446])).
% 25.07/16.39 tff(1455,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1456,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1457,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 25.07/16.39 tff(1458,plain,
% 25.07/16.39 (v122(constB7)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1457, 1454, 1444, 1406, 1368])).
% 25.07/16.39 tff(1459,plain,
% 25.07/16.39 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 25.07/16.39 inference(bind,[status(th)],[])).
% 25.07/16.39 tff(1460,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 25.07/16.39 inference(quant_intro,[status(thm)],[1459])).
% 25.07/16.39 tff(1461,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1462,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 25.07/16.39 tff(1463,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 25.07/16.39 tff(1464,plain,(
% 25.07/16.39 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 25.07/16.39 inference(skolemize,[status(sab)],[1463])).
% 25.07/16.39 tff(1465,plain,
% 25.07/16.39 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1464, 1460])).
% 25.07/16.39 tff(1466,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB7)) | v116(constB7))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1467,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1468,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB7)) | v116(constB7)),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 25.07/16.39 tff(1469,plain,
% 25.07/16.39 (v116(constB7)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1468, 1465, 1458])).
% 25.07/16.39 tff(1470,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1471,plain,
% 25.07/16.39 (((~v116(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v116(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1472,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7))))),
% 25.07/16.39 inference(monotonicity,[status(thm)],[1471])).
% 25.07/16.39 tff(1473,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 25.07/16.39 inference(transitivity,[status(thm)],[1472, 1470])).
% 25.07/16.39 tff(1474,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 25.07/16.39 inference(quant_inst,[status(thm)],[])).
% 25.07/16.39 tff(1475,plain,
% 25.07/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7))),
% 25.07/16.39 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 25.07/16.39 tff(1476,plain,
% 25.07/16.39 (v115(constB7)),
% 25.07/16.39 inference(unit_resolution,[status(thm)],[1475, 490, 1469])).
% 25.07/16.39 tff(1477,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1478,plain,
% 25.07/16.39 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 25.07/16.39 inference(rewrite,[status(thm)],[])).
% 25.07/16.39 tff(1479,plain,
% 25.07/16.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1478])).
% 25.07/16.40 tff(1480,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1479, 1477])).
% 25.07/16.40 tff(1481,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1482,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1481, 1480])).
% 25.07/16.40 tff(1483,plain,
% 25.07/16.40 (v114(constB7)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1482, 504, 1476])).
% 25.07/16.40 tff(1484,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB7)) | v113(constB7))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1485,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1486,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB7)) | v113(constB7)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 25.07/16.40 tff(1487,plain,
% 25.07/16.40 (v113(constB7)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1486, 518, 1483])).
% 25.07/16.40 tff(1488,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1489,plain,
% 25.07/16.40 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1490,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1489])).
% 25.07/16.40 tff(1491,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1490, 1488])).
% 25.07/16.40 tff(1492,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1493,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 25.07/16.40 tff(1494,plain,
% 25.07/16.40 (v26(constB7) | v112(constB7)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1493, 532, 1487])).
% 25.07/16.40 tff(1495,plain,
% 25.07/16.40 (v112(constB7)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1494, 322])).
% 25.07/16.40 tff(1496,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1497,plain,
% 25.07/16.40 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1498,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1497])).
% 25.07/16.40 tff(1499,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1498, 1496])).
% 25.07/16.40 tff(1500,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1501,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 25.07/16.40 tff(1502,plain,
% 25.07/16.40 (v108(constB7)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1501, 544, 1495])).
% 25.07/16.40 tff(1503,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1504,plain,
% 25.07/16.40 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1505,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1504])).
% 25.07/16.40 tff(1506,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1505, 1503])).
% 25.07/16.40 tff(1507,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1508,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 25.07/16.40 tff(1509,plain,
% 25.07/16.40 (v110(constB8) | (~v108(constB7))),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1508, 564, 179])).
% 25.07/16.40 tff(1510,plain,
% 25.07/16.40 (v110(constB8)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1509, 1502])).
% 25.07/16.40 tff(1511,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1512,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1513,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 25.07/16.40 tff(1514,plain,
% 25.07/16.40 (~v104(constB8)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1513, 582, 179, 187])).
% 25.07/16.40 tff(1515,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1516,plain,
% 25.07/16.40 (((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1517,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1516])).
% 25.07/16.40 tff(1518,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1517, 1515])).
% 25.07/16.40 tff(1519,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1520,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | v102(constB8)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 25.07/16.40 tff(1521,plain,
% 25.07/16.40 (v104(constB8) | v102(constB8)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1520, 596, 179])).
% 25.07/16.40 tff(1522,plain,
% 25.07/16.40 (v102(constB8)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1521, 1514])).
% 25.07/16.40 tff(1523,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1524,plain,
% 25.07/16.40 (((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))) <=> ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1525,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1524])).
% 25.07/16.40 tff(1526,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1525, 1523])).
% 25.07/16.40 tff(1527,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1528,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | (~v1(constB8)) | v101(constB8) | (~v102(constB8))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 25.07/16.40 tff(1529,plain,
% 25.07/16.40 (v101(constB8) | (~v102(constB8))),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1528, 617, 179, 163])).
% 25.07/16.40 tff(1530,plain,
% 25.07/16.40 (v101(constB8)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1529, 1522])).
% 25.07/16.40 tff(1531,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1532,plain,
% 25.07/16.40 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1533,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1532])).
% 25.07/16.40 tff(1534,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1533, 1531])).
% 25.07/16.40 tff(1535,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1536,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 25.07/16.40 tff(1537,plain,
% 25.07/16.40 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1536, 635, 179])).
% 25.07/16.40 tff(1538,plain,
% 25.07/16.40 (v100(constB8) | (~v110(constB8))),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1537, 1530])).
% 25.07/16.40 tff(1539,plain,
% 25.07/16.40 (v100(constB8)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1538, 1510])).
% 25.07/16.40 tff(1540,plain,
% 25.07/16.40 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1541,plain,
% 25.07/16.40 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1540])).
% 25.07/16.40 tff(1542,plain,
% 25.07/16.40 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1543,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 25.07/16.40 tff(1544,plain,
% 25.07/16.40 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 25.07/16.40 tff(1545,plain,(
% 25.07/16.40 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.40 inference(skolemize,[status(sab)],[1544])).
% 25.07/16.40 tff(1546,plain,
% 25.07/16.40 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1545, 1541])).
% 25.07/16.40 tff(1547,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1548,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1549,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 25.07/16.40 tff(1550,plain,
% 25.07/16.40 (v130(constB7, bitIndex2)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1549, 1546, 1458])).
% 25.07/16.40 tff(1551,plain,
% 25.07/16.40 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1552,plain,
% 25.07/16.40 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1551])).
% 25.07/16.40 tff(1553,plain,
% 25.07/16.40 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1554,plain,
% 25.07/16.40 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1555,plain,
% 25.07/16.40 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1554])).
% 25.07/16.40 tff(1556,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, bitIndex2))) | v127(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 25.07/16.40 tff(1557,plain,
% 25.07/16.40 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 25.07/16.40 tff(1558,plain,
% 25.07/16.40 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1557, 1553])).
% 25.07/16.40 tff(1559,plain,(
% 25.07/16.40 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(skolemize,[status(sab)],[1558])).
% 25.07/16.40 tff(1560,plain,
% 25.07/16.40 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1559, 1552])).
% 25.07/16.40 tff(1561,plain,
% 25.07/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1562,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1563,plain,
% 25.07/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 25.07/16.40 tff(1564,plain,
% 25.07/16.40 (v26(constB7) | v127(constB7, bitIndex2)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1563, 1560, 1550])).
% 25.07/16.40 tff(1565,plain,
% 25.07/16.40 (v127(constB7, bitIndex2)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1564, 322])).
% 25.07/16.40 tff(1566,plain,
% 25.07/16.40 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1567,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1566])).
% 25.07/16.40 tff(1568,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1569,plain,
% 25.07/16.40 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1570,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1569])).
% 25.07/16.40 tff(1571,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2))) | v129(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 25.07/16.40 tff(1572,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 25.07/16.40 tff(1573,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1572, 1568])).
% 25.07/16.40 tff(1574,plain,(
% 25.07/16.40 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(skolemize,[status(sab)],[1573])).
% 25.07/16.40 tff(1575,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1574, 1567])).
% 25.07/16.40 tff(1576,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1577,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1578,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1577, 1576])).
% 25.07/16.40 tff(1579,plain,
% 25.07/16.40 ((~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1578, 1575, 179])).
% 25.07/16.40 tff(1580,plain,
% 25.07/16.40 (v129(constB8, bitIndex2)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1579, 1565])).
% 25.07/16.40 tff(1581,plain,
% 25.07/16.40 (^[VarNext: state_type] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1582,plain,
% 25.07/16.40 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1581])).
% 25.07/16.40 tff(1583,plain,
% 25.07/16.40 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1584,plain,
% 25.07/16.40 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2)) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1585,plain,
% 25.07/16.40 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1584])).
% 25.07/16.40 tff(1586,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, bitIndex2))) | v90(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2_5')).
% 25.07/16.40 tff(1587,plain,
% 25.07/16.40 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1586, 1585])).
% 25.07/16.40 tff(1588,plain,
% 25.07/16.40 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1587, 1583])).
% 25.07/16.40 tff(1589,plain,(
% 25.07/16.40 ![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(skolemize,[status(sab)],[1588])).
% 25.07/16.40 tff(1590,plain,
% 25.07/16.40 (![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1589, 1582])).
% 25.07/16.40 tff(1591,plain,
% 25.07/16.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1592,plain,
% 25.07/16.40 ((v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1593,plain,
% 25.07/16.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1592])).
% 25.07/16.40 tff(1594,plain,
% 25.07/16.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1593, 1591])).
% 25.07/16.40 tff(1595,plain,
% 25.07/16.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1596,plain,
% 25.07/16.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 25.07/16.40 tff(1597,plain,
% 25.07/16.40 (v90(constB8, bitIndex2) | (~v100(constB8))),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1596, 1590, 1580])).
% 25.07/16.40 tff(1598,plain,
% 25.07/16.40 (v90(constB8, bitIndex2)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1597, 1539])).
% 25.07/16.40 tff(1599,plain,
% 25.07/16.40 ((~v1(constB9)) <=> (~v1(constB9))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1600,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 25.07/16.40 tff(1601,plain,
% 25.07/16.40 (~v1(constB9)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 25.07/16.40 tff(1602,plain,
% 25.07/16.40 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1603,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 25.07/16.40 tff(1604,plain,
% 25.07/16.40 (nextState(constB8, constB9)),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 25.07/16.40 tff(1605,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1606,plain,
% 25.07/16.40 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1607,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 25.07/16.40 inference(monotonicity,[status(thm)],[1606])).
% 25.07/16.40 tff(1608,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 25.07/16.40 inference(transitivity,[status(thm)],[1607, 1605])).
% 25.07/16.40 tff(1609,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1610,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 25.07/16.40 tff(1611,plain,
% 25.07/16.40 (~v101(constB9)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1610, 342, 1604, 1601])).
% 25.07/16.40 tff(1612,plain,
% 25.07/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1613,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 25.07/16.40 inference(quant_inst,[status(thm)],[])).
% 25.07/16.40 tff(1614,plain,
% 25.07/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 25.07/16.40 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 25.07/16.40 tff(1615,plain,
% 25.07/16.40 (v101(constB9) | (~v100(constB9))),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1614, 359, 1604])).
% 25.07/16.40 tff(1616,plain,
% 25.07/16.40 (~v100(constB9)),
% 25.07/16.40 inference(unit_resolution,[status(thm)],[1615, 1611])).
% 25.07/16.40 tff(1617,plain,
% 25.07/16.40 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1618,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.40 inference(quant_intro,[status(thm)],[1617])).
% 25.07/16.40 tff(1619,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.40 inference(rewrite,[status(thm)],[])).
% 25.07/16.40 tff(1620,plain,
% 25.07/16.40 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)) | v90(VarNext, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext)) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 25.07/16.40 inference(bind,[status(th)],[])).
% 25.07/16.40 tff(1621,plain,
% 25.07/16.40 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.41 inference(quant_intro,[status(thm)],[1620])).
% 25.07/16.41 tff(1622,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, bitIndex2))) | v90(VarNext, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_2_5')).
% 25.07/16.41 tff(1623,plain,
% 25.07/16.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 25.07/16.41 tff(1624,plain,
% 25.07/16.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1623, 1619])).
% 25.07/16.41 tff(1625,plain,(
% 25.07/16.41 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.41 inference(skolemize,[status(sab)],[1624])).
% 25.07/16.41 tff(1626,plain,
% 25.07/16.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1625, 1618])).
% 25.07/16.41 tff(1627,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1628,plain,
% 25.07/16.41 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1629,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1628])).
% 25.07/16.41 tff(1630,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1629, 1627])).
% 25.07/16.41 tff(1631,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1632,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 25.07/16.41 tff(1633,plain,
% 25.07/16.41 ((~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1632, 1626, 1604])).
% 25.07/16.41 tff(1634,plain,
% 25.07/16.41 ((~v90(constB8, bitIndex2)) | v90(constB9, bitIndex2)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1633, 1616])).
% 25.07/16.41 tff(1635,plain,
% 25.07/16.41 (v90(constB9, bitIndex2)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1634, 1598])).
% 25.07/16.41 tff(1636,plain,
% 25.07/16.41 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 25.07/16.41 inference(bind,[status(th)],[])).
% 25.07/16.41 tff(1637,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.41 inference(quant_intro,[status(thm)],[1636])).
% 25.07/16.41 tff(1638,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1639,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 25.07/16.41 tff(1640,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 25.07/16.41 tff(1641,plain,(
% 25.07/16.41 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.41 inference(skolemize,[status(sab)],[1640])).
% 25.07/16.41 tff(1642,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1641, 1637])).
% 25.07/16.41 tff(1643,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1644,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1645,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 25.07/16.41 tff(1646,plain,
% 25.07/16.41 (~v130(constB7, bitIndex1)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1645, 1642, 1458])).
% 25.07/16.41 tff(1647,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1648,plain,
% 25.07/16.41 ((v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1))) <=> ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1649,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1648])).
% 25.07/16.41 tff(1650,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1649, 1647])).
% 25.07/16.41 tff(1651,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1652,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1651, 1650])).
% 25.07/16.41 tff(1653,plain,
% 25.07/16.41 ((~v127(constB7, bitIndex1)) | v26(constB7)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1652, 751, 1646])).
% 25.07/16.41 tff(1654,plain,
% 25.07/16.41 (~v127(constB7, bitIndex1)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1653, 322])).
% 25.07/16.41 tff(1655,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1656,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1657,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 25.07/16.41 tff(1658,plain,
% 25.07/16.41 (v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1657, 769, 179])).
% 25.07/16.41 tff(1659,plain,
% 25.07/16.41 (~v129(constB8, bitIndex1)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1658, 1654])).
% 25.07/16.41 tff(1660,plain,
% 25.07/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1661,plain,
% 25.07/16.41 (((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1662,plain,
% 25.07/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1661])).
% 25.07/16.41 tff(1663,plain,
% 25.07/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1662, 1660])).
% 25.07/16.41 tff(1664,plain,
% 25.07/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1665,plain,
% 25.07/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 25.07/16.41 tff(1666,plain,
% 25.07/16.41 ((~v90(constB8, bitIndex1)) | (~v100(constB8))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1665, 784, 1659])).
% 25.07/16.41 tff(1667,plain,
% 25.07/16.41 (~v90(constB8, bitIndex1)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1666, 1539])).
% 25.07/16.41 tff(1668,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1669,plain,
% 25.07/16.41 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1670,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1669])).
% 25.07/16.41 tff(1671,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1670, 1668])).
% 25.07/16.41 tff(1672,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1673,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 25.07/16.41 tff(1674,plain,
% 25.07/16.41 (v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1673, 395, 1604])).
% 25.07/16.41 tff(1675,plain,
% 25.07/16.41 (v90(constB8, bitIndex1) | (~v90(constB9, bitIndex1))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1674, 1616])).
% 25.07/16.41 tff(1676,plain,
% 25.07/16.41 (~v90(constB9, bitIndex1)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1675, 1667])).
% 25.07/16.41 tff(1677,plain,
% 25.07/16.41 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 25.07/16.41 inference(bind,[status(th)],[])).
% 25.07/16.41 tff(1678,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.41 inference(quant_intro,[status(thm)],[1677])).
% 25.07/16.41 tff(1679,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1680,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 25.07/16.41 tff(1681,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 25.07/16.41 tff(1682,plain,(
% 25.07/16.41 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.41 inference(skolemize,[status(sab)],[1681])).
% 25.07/16.41 tff(1683,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1682, 1678])).
% 25.07/16.41 tff(1684,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1685,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1686,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 25.07/16.41 tff(1687,plain,
% 25.07/16.41 (~v130(constB7, bitIndex0)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1686, 1683, 1458])).
% 25.07/16.41 tff(1688,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1689,plain,
% 25.07/16.41 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1690,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1689])).
% 25.07/16.41 tff(1691,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1690, 1688])).
% 25.07/16.41 tff(1692,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1693,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 25.07/16.41 tff(1694,plain,
% 25.07/16.41 ((~v127(constB7, bitIndex0)) | v26(constB7)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1693, 1153, 1687])).
% 25.07/16.41 tff(1695,plain,
% 25.07/16.41 (~v127(constB7, bitIndex0)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1694, 322])).
% 25.07/16.41 tff(1696,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1697,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1698,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 25.07/16.41 tff(1699,plain,
% 25.07/16.41 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1698, 1171, 179])).
% 25.07/16.41 tff(1700,plain,
% 25.07/16.41 (~v129(constB8, bitIndex0)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1699, 1695])).
% 25.07/16.41 tff(1701,plain,
% 25.07/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1702,plain,
% 25.07/16.41 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1703,plain,
% 25.07/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1702])).
% 25.07/16.41 tff(1704,plain,
% 25.07/16.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1703, 1701])).
% 25.07/16.41 tff(1705,plain,
% 25.07/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1706,plain,
% 25.07/16.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 25.07/16.41 tff(1707,plain,
% 25.07/16.41 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1706, 1186, 1700])).
% 25.07/16.41 tff(1708,plain,
% 25.07/16.41 (~v90(constB8, bitIndex0)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1707, 1539])).
% 25.07/16.41 tff(1709,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1710,plain,
% 25.07/16.41 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1711,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 25.07/16.41 inference(monotonicity,[status(thm)],[1710])).
% 25.07/16.41 tff(1712,plain,
% 25.07/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 25.07/16.41 inference(transitivity,[status(thm)],[1711, 1709])).
% 25.07/16.41 tff(1713,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1714,plain,
% 25.07/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 25.07/16.41 tff(1715,plain,
% 25.07/16.41 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1714, 416, 1604])).
% 25.07/16.41 tff(1716,plain,
% 25.07/16.41 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1715, 1616])).
% 25.07/16.41 tff(1717,plain,
% 25.07/16.41 (~v90(constB9, bitIndex0)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1716, 1708])).
% 25.07/16.41 tff(1718,plain,
% 25.07/16.41 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 25.07/16.41 inference(bind,[status(th)],[])).
% 25.07/16.41 tff(1719,plain,
% 25.07/16.41 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(quant_intro,[status(thm)],[1718])).
% 25.07/16.41 tff(1720,plain,
% 25.07/16.41 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1721,plain,
% 25.07/16.41 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 25.07/16.41 inference(bind,[status(th)],[])).
% 25.07/16.41 tff(1722,plain,
% 25.07/16.41 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(quant_intro,[status(thm)],[1721])).
% 25.07/16.41 tff(1723,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 25.07/16.41 tff(1724,plain,
% 25.07/16.41 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 25.07/16.41 tff(1725,plain,
% 25.07/16.41 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1724, 1720])).
% 25.07/16.41 tff(1726,plain,(
% 25.07/16.41 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(skolemize,[status(sab)],[1725])).
% 25.07/16.41 tff(1727,plain,
% 25.07/16.41 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1726, 1719])).
% 25.07/16.41 tff(1728,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1729,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 25.07/16.41 inference(quant_inst,[status(thm)],[])).
% 25.07/16.41 tff(1730,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9)),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 25.07/16.41 tff(1731,plain,
% 25.07/16.41 (v123(constB9)),
% 25.07/16.41 inference(unit_resolution,[status(thm)],[1730, 1727, 1717, 1676, 1635])).
% 25.07/16.41 tff(1732,plain,
% 25.07/16.41 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 25.07/16.41 inference(bind,[status(th)],[])).
% 25.07/16.41 tff(1733,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.41 inference(quant_intro,[status(thm)],[1732])).
% 25.07/16.41 tff(1734,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1735,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 25.07/16.41 tff(1736,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 25.07/16.41 tff(1737,plain,(
% 25.07/16.41 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.41 inference(skolemize,[status(sab)],[1736])).
% 25.07/16.41 tff(1738,plain,
% 25.07/16.41 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.07/16.41 inference(modus_ponens,[status(thm)],[1737, 1733])).
% 25.07/16.41 tff(1739,plain,
% 25.07/16.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2))),
% 25.07/16.41 inference(rewrite,[status(thm)],[])).
% 25.07/16.41 tff(1740,plain,
% 25.07/16.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1741,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 25.07/16.42 tff(1742,plain,
% 25.07/16.42 (v130(constB9, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1741, 1738, 1731])).
% 25.07/16.42 tff(1743,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1744,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1745,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 25.07/16.42 tff(1746,plain,
% 25.07/16.42 (v26(constB9) | v127(constB9, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1745, 1560, 1742])).
% 25.07/16.42 tff(1747,plain,
% 25.07/16.42 (v127(constB9, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1746, 131])).
% 25.07/16.42 tff(1748,plain,
% 25.07/16.42 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1749,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 25.07/16.42 tff(1750,plain,
% 25.07/16.42 (nextState(constB9, constB10)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1749, 1748])).
% 25.07/16.42 tff(1751,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1752,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1753,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 25.07/16.42 tff(1754,plain,
% 25.07/16.42 ((~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1753, 1575, 1750])).
% 25.07/16.42 tff(1755,plain,
% 25.07/16.42 (v129(constB10, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1754, 1747])).
% 25.07/16.42 tff(1756,assumption,(~v108(constB9)), introduced(assumption)).
% 25.07/16.42 tff(1757,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1758,plain,
% 25.07/16.42 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1759,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1758])).
% 25.07/16.42 tff(1760,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1759, 1757])).
% 25.07/16.42 tff(1761,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1762,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 25.07/16.42 tff(1763,plain,
% 25.07/16.42 (~v112(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1762, 544, 1756])).
% 25.07/16.42 tff(1764,plain,
% 25.07/16.42 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 25.07/16.42 inference(bind,[status(th)],[])).
% 25.07/16.42 tff(1765,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 25.07/16.42 inference(quant_intro,[status(thm)],[1764])).
% 25.07/16.42 tff(1766,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1767,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 25.07/16.42 tff(1768,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 25.07/16.42 tff(1769,plain,(
% 25.07/16.42 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 25.07/16.42 inference(skolemize,[status(sab)],[1768])).
% 25.07/16.42 tff(1770,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1769, 1765])).
% 25.07/16.42 tff(1771,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v26(constB9)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1772,plain,
% 25.07/16.42 (((~v26(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v26(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1773,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v26(constB9))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1772])).
% 25.07/16.42 tff(1774,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1773, 1771])).
% 25.07/16.42 tff(1775,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB9)) | v108(constB9))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1776,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v26(constB9))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 25.07/16.42 tff(1777,plain,
% 25.07/16.42 (~v26(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1776, 1770, 1756])).
% 25.07/16.42 tff(1778,plain,
% 25.07/16.42 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 25.07/16.42 inference(bind,[status(th)],[])).
% 25.07/16.42 tff(1779,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 25.07/16.42 inference(quant_intro,[status(thm)],[1778])).
% 25.07/16.42 tff(1780,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1781,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 25.07/16.42 tff(1782,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 25.07/16.42 tff(1783,plain,(
% 25.07/16.42 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 25.07/16.42 inference(skolemize,[status(sab)],[1782])).
% 25.07/16.42 tff(1784,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1783, 1779])).
% 25.07/16.42 tff(1785,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1786,plain,
% 25.07/16.42 (((~v123(constB9)) | v115(constB9)) <=> (v115(constB9) | (~v123(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1787,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1786])).
% 25.07/16.42 tff(1788,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1787, 1785])).
% 25.07/16.42 tff(1789,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1790,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 25.07/16.42 tff(1791,plain,
% 25.07/16.42 (v115(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1790, 1784, 1731])).
% 25.07/16.42 tff(1792,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1793,plain,
% 25.07/16.42 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1794,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1793])).
% 25.07/16.42 tff(1795,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1794, 1792])).
% 25.07/16.42 tff(1796,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1797,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1796, 1795])).
% 25.07/16.42 tff(1798,plain,
% 25.07/16.42 (v114(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1797, 504, 1791])).
% 25.07/16.42 tff(1799,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1800,plain,
% 25.07/16.42 (((~v114(constB9)) | v113(constB9)) <=> (v113(constB9) | (~v114(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1801,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1800])).
% 25.07/16.42 tff(1802,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1801, 1799])).
% 25.07/16.42 tff(1803,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1804,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 25.07/16.42 tff(1805,plain,
% 25.07/16.42 (v113(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1804, 518, 1798])).
% 25.07/16.42 tff(1806,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1807,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1808,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 25.07/16.42 tff(1809,plain,
% 25.07/16.42 (v26(constB9) | v112(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1808, 532, 1805])).
% 25.07/16.42 tff(1810,plain,
% 25.07/16.42 ($false),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1809, 1777, 1763])).
% 25.07/16.42 tff(1811,plain,(v108(constB9)), inference(lemma,lemma(discharge,[]))).
% 25.07/16.42 tff(1812,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1813,plain,
% 25.07/16.42 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1814,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1813])).
% 25.07/16.42 tff(1815,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1814, 1812])).
% 25.07/16.42 tff(1816,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1817,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 25.07/16.42 tff(1818,plain,
% 25.07/16.42 (v110(constB10) | (~v108(constB9))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1817, 564, 1750])).
% 25.07/16.42 tff(1819,plain,
% 25.07/16.42 (v110(constB10)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1818, 1811])).
% 25.07/16.42 tff(1820,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1821,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1822,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 25.07/16.42 tff(1823,plain,
% 25.07/16.42 (~v104(constB10)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1822, 582, 1750, 1601])).
% 25.07/16.42 tff(1824,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1825,plain,
% 25.07/16.42 (((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1826,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1825])).
% 25.07/16.42 tff(1827,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1826, 1824])).
% 25.07/16.42 tff(1828,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1829,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | v102(constB10)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 25.07/16.42 tff(1830,plain,
% 25.07/16.42 (v104(constB10) | v102(constB10)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1829, 596, 1750])).
% 25.07/16.42 tff(1831,plain,
% 25.07/16.42 (v102(constB10)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1830, 1823])).
% 25.07/16.42 tff(1832,plain,
% 25.07/16.42 (v1(constB10) <=> v1(constB10)),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1833,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 25.07/16.42 tff(1834,plain,
% 25.07/16.42 (v1(constB10)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 25.07/16.42 tff(1835,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1836,plain,
% 25.07/16.42 (((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))) <=> ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1837,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1836])).
% 25.07/16.42 tff(1838,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1837, 1835])).
% 25.07/16.42 tff(1839,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1840,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | (~v1(constB10)) | v101(constB10) | (~v102(constB10))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 25.07/16.42 tff(1841,plain,
% 25.07/16.42 (v101(constB10) | (~v102(constB10))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1840, 617, 1750, 1834])).
% 25.07/16.42 tff(1842,plain,
% 25.07/16.42 (v101(constB10)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1841, 1831])).
% 25.07/16.42 tff(1843,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1844,plain,
% 25.07/16.42 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1845,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1844])).
% 25.07/16.42 tff(1846,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1845, 1843])).
% 25.07/16.42 tff(1847,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1848,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 25.07/16.42 tff(1849,plain,
% 25.07/16.42 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1848, 635, 1750])).
% 25.07/16.42 tff(1850,plain,
% 25.07/16.42 (v100(constB10) | (~v110(constB10))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1849, 1842])).
% 25.07/16.42 tff(1851,plain,
% 25.07/16.42 (v100(constB10)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1850, 1819])).
% 25.07/16.42 tff(1852,plain,
% 25.07/16.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1853,plain,
% 25.07/16.42 ((v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1854,plain,
% 25.07/16.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1853])).
% 25.07/16.42 tff(1855,plain,
% 25.07/16.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1854, 1852])).
% 25.07/16.42 tff(1856,plain,
% 25.07/16.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1857,plain,
% 25.07/16.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 25.07/16.42 tff(1858,plain,
% 25.07/16.42 (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1857, 1590, 1851])).
% 25.07/16.42 tff(1859,plain,
% 25.07/16.42 (v90(constB10, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1858, 1755])).
% 25.07/16.42 tff(1860,plain,
% 25.07/16.42 ((~v1(constB11)) <=> (~v1(constB11))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1861,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 25.07/16.42 tff(1862,plain,
% 25.07/16.42 (~v1(constB11)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 25.07/16.42 tff(1863,plain,
% 25.07/16.42 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1864,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 25.07/16.42 tff(1865,plain,
% 25.07/16.42 (nextState(constB10, constB11)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 25.07/16.42 tff(1866,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1867,plain,
% 25.07/16.42 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1868,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1867])).
% 25.07/16.42 tff(1869,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1868, 1866])).
% 25.07/16.42 tff(1870,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1871,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 25.07/16.42 tff(1872,plain,
% 25.07/16.42 (~v101(constB11)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1871, 342, 1865, 1862])).
% 25.07/16.42 tff(1873,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1874,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1875,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 25.07/16.42 tff(1876,plain,
% 25.07/16.42 (v101(constB11) | (~v100(constB11))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1875, 359, 1865])).
% 25.07/16.42 tff(1877,plain,
% 25.07/16.42 (~v100(constB11)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1876, 1872])).
% 25.07/16.42 tff(1878,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1879,plain,
% 25.07/16.42 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1880,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1879])).
% 25.07/16.42 tff(1881,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1880, 1878])).
% 25.07/16.42 tff(1882,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1883,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 25.07/16.42 tff(1884,plain,
% 25.07/16.42 ((~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1883, 1626, 1865])).
% 25.07/16.42 tff(1885,plain,
% 25.07/16.42 ((~v90(constB10, bitIndex2)) | v90(constB11, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1884, 1877])).
% 25.07/16.42 tff(1886,plain,
% 25.07/16.42 (v90(constB11, bitIndex2)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1885, 1859])).
% 25.07/16.42 tff(1887,plain,
% 25.07/16.42 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 25.07/16.42 inference(bind,[status(th)],[])).
% 25.07/16.42 tff(1888,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.42 inference(quant_intro,[status(thm)],[1887])).
% 25.07/16.42 tff(1889,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1890,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 25.07/16.42 tff(1891,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 25.07/16.42 tff(1892,plain,(
% 25.07/16.42 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.42 inference(skolemize,[status(sab)],[1891])).
% 25.07/16.42 tff(1893,plain,
% 25.07/16.42 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1892, 1888])).
% 25.07/16.42 tff(1894,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1895,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1896,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 25.07/16.42 tff(1897,plain,
% 25.07/16.42 (~v130(constB9, bitIndex1)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1896, 1893, 1731])).
% 25.07/16.42 tff(1898,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1899,plain,
% 25.07/16.42 ((v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1))) <=> ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1900,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)))),
% 25.07/16.42 inference(monotonicity,[status(thm)],[1899])).
% 25.07/16.42 tff(1901,plain,
% 25.07/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 25.07/16.42 inference(transitivity,[status(thm)],[1900, 1898])).
% 25.07/16.42 tff(1902,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1903,plain,
% 25.07/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 25.07/16.42 tff(1904,plain,
% 25.07/16.42 ((~v127(constB9, bitIndex1)) | v26(constB9)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1903, 751, 1897])).
% 25.07/16.42 tff(1905,plain,
% 25.07/16.42 (~v127(constB9, bitIndex1)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1904, 131])).
% 25.07/16.42 tff(1906,plain,
% 25.07/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 25.07/16.42 inference(rewrite,[status(thm)],[])).
% 25.07/16.42 tff(1907,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 25.07/16.42 inference(quant_inst,[status(thm)],[])).
% 25.07/16.42 tff(1908,plain,
% 25.07/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 25.07/16.42 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 25.07/16.42 tff(1909,plain,
% 25.07/16.42 (v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1908, 769, 1750])).
% 25.07/16.42 tff(1910,plain,
% 25.07/16.42 (~v129(constB10, bitIndex1)),
% 25.07/16.42 inference(unit_resolution,[status(thm)],[1909, 1905])).
% 25.07/16.42 tff(1911,plain,
% 25.07/16.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1912,plain,
% 25.07/16.43 (((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1913,plain,
% 25.07/16.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[1912])).
% 25.07/16.43 tff(1914,plain,
% 25.07/16.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[1913, 1911])).
% 25.07/16.43 tff(1915,plain,
% 25.07/16.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1916,plain,
% 25.07/16.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 25.07/16.43 tff(1917,plain,
% 25.07/16.43 ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1916, 784, 1851])).
% 25.07/16.43 tff(1918,plain,
% 25.07/16.43 (~v90(constB10, bitIndex1)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1917, 1910])).
% 25.07/16.43 tff(1919,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1920,plain,
% 25.07/16.43 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1921,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[1920])).
% 25.07/16.43 tff(1922,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[1921, 1919])).
% 25.07/16.43 tff(1923,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1924,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 25.07/16.43 tff(1925,plain,
% 25.07/16.43 (v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1924, 395, 1865])).
% 25.07/16.43 tff(1926,plain,
% 25.07/16.43 (v90(constB10, bitIndex1) | (~v90(constB11, bitIndex1))),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1925, 1877])).
% 25.07/16.43 tff(1927,plain,
% 25.07/16.43 (~v90(constB11, bitIndex1)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1926, 1918])).
% 25.07/16.43 tff(1928,plain,
% 25.07/16.43 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 25.07/16.43 inference(bind,[status(th)],[])).
% 25.07/16.43 tff(1929,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.43 inference(quant_intro,[status(thm)],[1928])).
% 25.07/16.43 tff(1930,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1931,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 25.07/16.43 tff(1932,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 25.07/16.43 tff(1933,plain,(
% 25.07/16.43 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.43 inference(skolemize,[status(sab)],[1932])).
% 25.07/16.43 tff(1934,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1933, 1929])).
% 25.07/16.43 tff(1935,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1936,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1937,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 25.07/16.43 tff(1938,plain,
% 25.07/16.43 (v130(constB9, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1937, 1934, 1731])).
% 25.07/16.43 tff(1939,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1940,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1941,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1940, 1939])).
% 25.07/16.43 tff(1942,plain,
% 25.07/16.43 (v26(constB9) | v127(constB9, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1941, 822, 1938])).
% 25.07/16.43 tff(1943,plain,
% 25.07/16.43 (v127(constB9, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1942, 131])).
% 25.07/16.43 tff(1944,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1945,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1946,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 25.07/16.43 tff(1947,plain,
% 25.07/16.43 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1946, 837, 1750])).
% 25.07/16.43 tff(1948,plain,
% 25.07/16.43 (v129(constB10, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1947, 1943])).
% 25.07/16.43 tff(1949,plain,
% 25.07/16.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1950,plain,
% 25.07/16.43 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1951,plain,
% 25.07/16.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[1950])).
% 25.07/16.43 tff(1952,plain,
% 25.07/16.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[1951, 1949])).
% 25.07/16.43 tff(1953,plain,
% 25.07/16.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1954,plain,
% 25.07/16.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 25.07/16.43 tff(1955,plain,
% 25.07/16.43 (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1954, 852, 1851])).
% 25.07/16.43 tff(1956,plain,
% 25.07/16.43 (v90(constB10, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1955, 1948])).
% 25.07/16.43 tff(1957,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1958,plain,
% 25.07/16.43 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1959,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[1958])).
% 25.07/16.43 tff(1960,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 25.07/16.43 inference(transitivity,[status(thm)],[1959, 1957])).
% 25.07/16.43 tff(1961,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1962,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 25.07/16.43 tff(1963,plain,
% 25.07/16.43 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1962, 870, 1865])).
% 25.07/16.43 tff(1964,plain,
% 25.07/16.43 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1963, 1877])).
% 25.07/16.43 tff(1965,plain,
% 25.07/16.43 (v90(constB11, bitIndex0)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1964, 1956])).
% 25.07/16.43 tff(1966,plain,
% 25.07/16.43 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 25.07/16.43 inference(bind,[status(th)],[])).
% 25.07/16.43 tff(1967,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(quant_intro,[status(thm)],[1966])).
% 25.07/16.43 tff(1968,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1969,plain,
% 25.07/16.43 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1))), (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))), (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 25.07/16.43 inference(bind,[status(th)],[])).
% 25.07/16.43 tff(1970,plain,
% 25.07/16.43 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(quant_intro,[status(thm)],[1969])).
% 25.07/16.43 tff(1971,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0))) | (~v90(VarCurr, bitIndex2))) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 25.07/16.43 tff(1972,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 25.07/16.43 tff(1973,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1972, 1968])).
% 25.07/16.43 tff(1974,plain,(
% 25.07/16.43 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(skolemize,[status(sab)],[1973])).
% 25.07/16.43 tff(1975,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1974, 1967])).
% 25.07/16.43 tff(1976,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1977,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1978,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 25.07/16.43 tff(1979,plain,
% 25.07/16.43 (v124(constB11)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1978, 1975, 1965, 1927, 1886])).
% 25.07/16.43 tff(1980,plain,
% 25.07/16.43 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 25.07/16.43 inference(bind,[status(th)],[])).
% 25.07/16.43 tff(1981,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 25.07/16.43 inference(quant_intro,[status(thm)],[1980])).
% 25.07/16.43 tff(1982,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1983,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 25.07/16.43 tff(1984,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 25.07/16.43 tff(1985,plain,(
% 25.07/16.43 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 25.07/16.43 inference(skolemize,[status(sab)],[1984])).
% 25.07/16.43 tff(1986,plain,
% 25.07/16.43 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1985, 1981])).
% 25.07/16.43 tff(1987,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v124(constB11)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v124(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1988,plain,
% 25.07/16.43 (((~v124(constB11)) | v114(constB11)) <=> (v114(constB11) | (~v124(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1989,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v124(constB11))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[1988])).
% 25.07/16.43 tff(1990,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v124(constB11)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[1989, 1987])).
% 25.07/16.43 tff(1991,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1992,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v124(constB11))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 25.07/16.43 tff(1993,plain,
% 25.07/16.43 (v114(constB11)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1992, 1986, 1979])).
% 25.07/16.43 tff(1994,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB11)) | v113(constB11))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(1995,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(1996,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB11)) | v113(constB11)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 25.07/16.43 tff(1997,plain,
% 25.07/16.43 (v113(constB11)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1996, 518, 1993])).
% 25.07/16.43 tff(1998,assumption,(v26(constB11)), introduced(assumption)).
% 25.07/16.43 tff(1999,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2000,plain,
% 25.07/16.43 ($false),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[1999, 120, 1998])).
% 25.07/16.43 tff(2001,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 25.07/16.43 tff(2002,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2003,plain,
% 25.07/16.43 ((v26(constB11) | (~v113(constB11)) | v112(constB11)) <=> (v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2004,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[2003])).
% 25.07/16.43 tff(2005,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[2004, 2002])).
% 25.07/16.43 tff(2006,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2007,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 25.07/16.43 tff(2008,plain,
% 25.07/16.43 (v112(constB11) | (~v113(constB11))),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2007, 532, 2001])).
% 25.07/16.43 tff(2009,plain,
% 25.07/16.43 (v112(constB11)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2008, 1997])).
% 25.07/16.43 tff(2010,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2011,plain,
% 25.07/16.43 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2012,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[2011])).
% 25.07/16.43 tff(2013,plain,
% 25.07/16.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[2012, 2010])).
% 25.07/16.43 tff(2014,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2015,plain,
% 25.07/16.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 25.07/16.43 tff(2016,plain,
% 25.07/16.43 (v108(constB11)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2015, 544, 2009])).
% 25.07/16.43 tff(2017,plain,
% 25.07/16.43 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2018,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 25.07/16.43 tff(2019,plain,
% 25.07/16.43 (nextState(constB11, constB12)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2018, 2017])).
% 25.07/16.43 tff(2020,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2021,plain,
% 25.07/16.43 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2022,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[2021])).
% 25.07/16.43 tff(2023,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[2022, 2020])).
% 25.07/16.43 tff(2024,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2025,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 25.07/16.43 tff(2026,plain,
% 25.07/16.43 (v110(constB12) | (~v108(constB11))),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2025, 564, 2019])).
% 25.07/16.43 tff(2027,plain,
% 25.07/16.43 (v110(constB12)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2026, 2016])).
% 25.07/16.43 tff(2028,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2029,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2030,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 25.07/16.43 tff(2031,plain,
% 25.07/16.43 (~v104(constB12)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2030, 582, 2019, 1862])).
% 25.07/16.43 tff(2032,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2033,plain,
% 25.07/16.43 (((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2034,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[2033])).
% 25.07/16.43 tff(2035,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12))),
% 25.07/16.43 inference(transitivity,[status(thm)],[2034, 2032])).
% 25.07/16.43 tff(2036,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2037,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | v102(constB12)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 25.07/16.43 tff(2038,plain,
% 25.07/16.43 (v104(constB12) | v102(constB12)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2037, 596, 2019])).
% 25.07/16.43 tff(2039,plain,
% 25.07/16.43 (v102(constB12)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2038, 2031])).
% 25.07/16.43 tff(2040,plain,
% 25.07/16.43 (v1(constB12) <=> v1(constB12)),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2041,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 25.07/16.43 tff(2042,plain,
% 25.07/16.43 (v1(constB12)),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 25.07/16.43 tff(2043,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2044,plain,
% 25.07/16.43 (((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))) <=> ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 25.07/16.43 inference(rewrite,[status(thm)],[])).
% 25.07/16.43 tff(2045,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))))),
% 25.07/16.43 inference(monotonicity,[status(thm)],[2044])).
% 25.07/16.43 tff(2046,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12)))),
% 25.07/16.43 inference(transitivity,[status(thm)],[2045, 2043])).
% 25.07/16.43 tff(2047,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 25.07/16.43 inference(quant_inst,[status(thm)],[])).
% 25.07/16.43 tff(2048,plain,
% 25.07/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | (~v1(constB12)) | v101(constB12) | (~v102(constB12))),
% 25.07/16.43 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 25.07/16.43 tff(2049,plain,
% 25.07/16.43 (v101(constB12) | (~v102(constB12))),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2048, 617, 2019, 2042])).
% 25.07/16.43 tff(2050,plain,
% 25.07/16.43 (v101(constB12)),
% 25.07/16.43 inference(unit_resolution,[status(thm)],[2049, 2039])).
% 25.07/16.43 tff(2051,plain,
% 25.07/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2052,plain,
% 25.17/16.44 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2053,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2052])).
% 25.17/16.44 tff(2054,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2053, 2051])).
% 25.17/16.44 tff(2055,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2056,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2055, 2054])).
% 25.17/16.44 tff(2057,plain,
% 25.17/16.44 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2056, 635, 2019])).
% 25.17/16.44 tff(2058,plain,
% 25.17/16.44 (v100(constB12) | (~v110(constB12))),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2057, 2050])).
% 25.17/16.44 tff(2059,plain,
% 25.17/16.44 (v100(constB12)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2058, 2027])).
% 25.17/16.44 tff(2060,plain,
% 25.17/16.44 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 25.17/16.44 inference(bind,[status(th)],[])).
% 25.17/16.44 tff(2061,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.17/16.44 inference(quant_intro,[status(thm)],[2060])).
% 25.17/16.44 tff(2062,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2063,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 25.17/16.44 tff(2064,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 25.17/16.44 tff(2065,plain,(
% 25.17/16.44 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.17/16.44 inference(skolemize,[status(sab)],[2064])).
% 25.17/16.44 tff(2066,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2065, 2061])).
% 25.17/16.44 tff(2067,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2068,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2069,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 25.17/16.44 tff(2070,plain,
% 25.17/16.44 (v130(constB11, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2069, 2066, 1979])).
% 25.17/16.44 tff(2071,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2072,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2073,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 25.17/16.44 tff(2074,plain,
% 25.17/16.44 ((~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2073, 1560, 2001])).
% 25.17/16.44 tff(2075,plain,
% 25.17/16.44 (v127(constB11, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2074, 2070])).
% 25.17/16.44 tff(2076,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2077,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2078,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 25.17/16.44 tff(2079,plain,
% 25.17/16.44 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2078, 1575, 2019])).
% 25.17/16.44 tff(2080,plain,
% 25.17/16.44 (v129(constB12, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2079, 2075])).
% 25.17/16.44 tff(2081,plain,
% 25.17/16.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2082,plain,
% 25.17/16.44 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2083,plain,
% 25.17/16.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2082])).
% 25.17/16.44 tff(2084,plain,
% 25.17/16.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2083, 2081])).
% 25.17/16.44 tff(2085,plain,
% 25.17/16.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2086,plain,
% 25.17/16.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 25.17/16.44 tff(2087,plain,
% 25.17/16.44 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2086, 1590, 2080])).
% 25.17/16.44 tff(2088,plain,
% 25.17/16.44 (v90(constB12, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2087, 2059])).
% 25.17/16.44 tff(2089,plain,
% 25.17/16.44 ((~v1(constB13)) <=> (~v1(constB13))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2090,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 25.17/16.44 tff(2091,plain,
% 25.17/16.44 (~v1(constB13)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 25.17/16.44 tff(2092,plain,
% 25.17/16.44 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2093,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 25.17/16.44 tff(2094,plain,
% 25.17/16.44 (nextState(constB12, constB13)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 25.17/16.44 tff(2095,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2096,plain,
% 25.17/16.44 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2097,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2096])).
% 25.17/16.44 tff(2098,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2097, 2095])).
% 25.17/16.44 tff(2099,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2100,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 25.17/16.44 tff(2101,plain,
% 25.17/16.44 (~v101(constB13)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2100, 342, 2094, 2091])).
% 25.17/16.44 tff(2102,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2103,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2104,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 25.17/16.44 tff(2105,plain,
% 25.17/16.44 (v101(constB13) | (~v100(constB13))),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2104, 359, 2094])).
% 25.17/16.44 tff(2106,plain,
% 25.17/16.44 (~v100(constB13)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2105, 2101])).
% 25.17/16.44 tff(2107,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2108,plain,
% 25.17/16.44 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2109,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2108])).
% 25.17/16.44 tff(2110,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2109, 2107])).
% 25.17/16.44 tff(2111,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2112,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 25.17/16.44 tff(2113,plain,
% 25.17/16.44 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2112, 1626, 2094])).
% 25.17/16.44 tff(2114,plain,
% 25.17/16.44 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2113, 2106])).
% 25.17/16.44 tff(2115,plain,
% 25.17/16.44 (v90(constB13, bitIndex2)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2114, 2088])).
% 25.17/16.44 tff(2116,plain,
% 25.17/16.44 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 25.17/16.44 inference(bind,[status(th)],[])).
% 25.17/16.44 tff(2117,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.17/16.44 inference(quant_intro,[status(thm)],[2116])).
% 25.17/16.44 tff(2118,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2119,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 25.17/16.44 tff(2120,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2119, 2118])).
% 25.17/16.44 tff(2121,plain,(
% 25.17/16.44 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.17/16.44 inference(skolemize,[status(sab)],[2120])).
% 25.17/16.44 tff(2122,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2121, 2117])).
% 25.17/16.44 tff(2123,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2124,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2125,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 25.17/16.44 tff(2126,plain,
% 25.17/16.44 (v130(constB11, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2125, 2122, 1979])).
% 25.17/16.44 tff(2127,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2128,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2129,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 25.17/16.44 tff(2130,plain,
% 25.17/16.44 ((~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2129, 1075, 2001])).
% 25.17/16.44 tff(2131,plain,
% 25.17/16.44 (v127(constB11, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2130, 2126])).
% 25.17/16.44 tff(2132,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2133,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2134,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 25.17/16.44 tff(2135,plain,
% 25.17/16.44 ((~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2134, 1090, 2019])).
% 25.17/16.44 tff(2136,plain,
% 25.17/16.44 (v129(constB12, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2135, 2131])).
% 25.17/16.44 tff(2137,plain,
% 25.17/16.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2138,plain,
% 25.17/16.44 ((v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2139,plain,
% 25.17/16.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2138])).
% 25.17/16.44 tff(2140,plain,
% 25.17/16.44 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2139, 2137])).
% 25.17/16.44 tff(2141,plain,
% 25.17/16.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2142,plain,
% 25.17/16.44 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2141, 2140])).
% 25.17/16.44 tff(2143,plain,
% 25.17/16.44 (v90(constB12, bitIndex1) | (~v100(constB12))),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2142, 1105, 2136])).
% 25.17/16.44 tff(2144,plain,
% 25.17/16.44 (v90(constB12, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2143, 2059])).
% 25.17/16.44 tff(2145,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2146,plain,
% 25.17/16.44 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2147,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2146])).
% 25.17/16.44 tff(2148,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2147, 2145])).
% 25.17/16.44 tff(2149,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2150,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 25.17/16.44 tff(2151,plain,
% 25.17/16.44 ((~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2150, 1123, 2094])).
% 25.17/16.44 tff(2152,plain,
% 25.17/16.44 ((~v90(constB12, bitIndex1)) | v90(constB13, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2151, 2106])).
% 25.17/16.44 tff(2153,plain,
% 25.17/16.44 (v90(constB13, bitIndex1)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2152, 2144])).
% 25.17/16.44 tff(2154,plain,
% 25.17/16.44 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 25.17/16.44 inference(bind,[status(th)],[])).
% 25.17/16.44 tff(2155,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.17/16.44 inference(quant_intro,[status(thm)],[2154])).
% 25.17/16.44 tff(2156,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2157,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 25.17/16.44 tff(2158,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 25.17/16.44 tff(2159,plain,(
% 25.17/16.44 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.17/16.44 inference(skolemize,[status(sab)],[2158])).
% 25.17/16.44 tff(2160,plain,
% 25.17/16.44 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2159, 2155])).
% 25.17/16.44 tff(2161,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2162,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2163,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 25.17/16.44 tff(2164,plain,
% 25.17/16.44 (~v130(constB11, bitIndex0)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2163, 2160, 1979])).
% 25.17/16.44 tff(2165,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2166,plain,
% 25.17/16.44 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2167,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 25.17/16.44 inference(monotonicity,[status(thm)],[2166])).
% 25.17/16.44 tff(2168,plain,
% 25.17/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 25.17/16.44 inference(transitivity,[status(thm)],[2167, 2165])).
% 25.17/16.44 tff(2169,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2170,plain,
% 25.17/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2169, 2168])).
% 25.17/16.44 tff(2171,plain,
% 25.17/16.44 ((~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2170, 1153, 2001])).
% 25.17/16.44 tff(2172,plain,
% 25.17/16.44 (~v127(constB11, bitIndex0)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2171, 2164])).
% 25.17/16.44 tff(2173,plain,
% 25.17/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 25.17/16.44 inference(rewrite,[status(thm)],[])).
% 25.17/16.44 tff(2174,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 25.17/16.44 inference(quant_inst,[status(thm)],[])).
% 25.17/16.44 tff(2175,plain,
% 25.17/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 25.17/16.44 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 25.17/16.44 tff(2176,plain,
% 25.17/16.44 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2175, 1171, 2019])).
% 25.17/16.44 tff(2177,plain,
% 25.17/16.44 (~v129(constB12, bitIndex0)),
% 25.17/16.44 inference(unit_resolution,[status(thm)],[2176, 2172])).
% 25.17/16.44 tff(2178,plain,
% 25.17/16.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2179,plain,
% 25.17/16.45 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2180,plain,
% 25.17/16.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2179])).
% 25.17/16.45 tff(2181,plain,
% 25.17/16.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2180, 2178])).
% 25.17/16.45 tff(2182,plain,
% 25.17/16.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2183,plain,
% 25.17/16.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 25.17/16.45 tff(2184,plain,
% 25.17/16.45 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2183, 1186, 2177])).
% 25.17/16.45 tff(2185,plain,
% 25.17/16.45 (~v90(constB12, bitIndex0)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2184, 2059])).
% 25.17/16.45 tff(2186,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2187,plain,
% 25.17/16.45 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2188,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2187])).
% 25.17/16.45 tff(2189,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2188, 2186])).
% 25.17/16.45 tff(2190,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2191,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 25.17/16.45 tff(2192,plain,
% 25.17/16.45 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2191, 416, 2094])).
% 25.17/16.45 tff(2193,plain,
% 25.17/16.45 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2192, 2106])).
% 25.17/16.45 tff(2194,plain,
% 25.17/16.45 (~v90(constB13, bitIndex0)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2193, 2185])).
% 25.17/16.45 tff(2195,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2196,plain,
% 25.17/16.45 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2195])).
% 25.17/16.45 tff(2197,plain,
% 25.17/16.45 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2198,plain,
% 25.17/16.45 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)))), (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))), (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2199,plain,
% 25.17/16.45 (![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2198])).
% 25.17/16.45 tff(2200,axiom,(![VarCurr: state_type] : (((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex2))) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 25.17/16.45 tff(2201,plain,
% 25.17/16.45 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 25.17/16.45 tff(2202,plain,
% 25.17/16.45 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2201, 2197])).
% 25.17/16.45 tff(2203,plain,(
% 25.17/16.45 ![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2202])).
% 25.17/16.45 tff(2204,plain,
% 25.17/16.45 (![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2203, 2196])).
% 25.17/16.45 tff(2205,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2206,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2207,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13)),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 25.17/16.45 tff(2208,plain,
% 25.17/16.45 (v125(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2207, 2204, 2194, 2153, 2115])).
% 25.17/16.45 tff(2209,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2210,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2209])).
% 25.17/16.45 tff(2211,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2212,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 25.17/16.45 tff(2213,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2212, 2211])).
% 25.17/16.45 tff(2214,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2213])).
% 25.17/16.45 tff(2215,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2214, 2210])).
% 25.17/16.45 tff(2216,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v125(constB13)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v125(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2217,plain,
% 25.17/16.45 (((~v125(constB13)) | v113(constB13)) <=> (v113(constB13) | (~v125(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2218,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v125(constB13))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2217])).
% 25.17/16.45 tff(2219,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v125(constB13)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2218, 2216])).
% 25.17/16.45 tff(2220,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2221,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v125(constB13))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 25.17/16.45 tff(2222,plain,
% 25.17/16.45 (v113(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2221, 2215, 2208])).
% 25.17/16.45 tff(2223,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2224,plain,
% 25.17/16.45 ((v26(constB13) | (~v113(constB13)) | v112(constB13)) <=> (v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2225,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2224])).
% 25.17/16.45 tff(2226,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2225, 2223])).
% 25.17/16.45 tff(2227,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2228,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 25.17/16.45 tff(2229,plain,
% 25.17/16.45 (v26(constB13) | v112(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2228, 532, 2222])).
% 25.17/16.45 tff(2230,plain,
% 25.17/16.45 (v112(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2229, 127])).
% 25.17/16.45 tff(2231,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2232,plain,
% 25.17/16.45 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2233,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2232])).
% 25.17/16.45 tff(2234,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2233, 2231])).
% 25.17/16.45 tff(2235,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2236,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 25.17/16.45 tff(2237,plain,
% 25.17/16.45 (v108(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2236, 544, 2230])).
% 25.17/16.45 tff(2238,plain,
% 25.17/16.45 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2239,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 25.17/16.45 tff(2240,plain,
% 25.17/16.45 (nextState(constB13, constB14)),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 25.17/16.45 tff(2241,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2242,plain,
% 25.17/16.45 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2243,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2242])).
% 25.17/16.45 tff(2244,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2243, 2241])).
% 25.17/16.45 tff(2245,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2246,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 25.17/16.45 tff(2247,plain,
% 25.17/16.45 (v110(constB14) | (~v108(constB13))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2246, 564, 2240])).
% 25.17/16.45 tff(2248,plain,
% 25.17/16.45 (v110(constB14)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2247, 2237])).
% 25.17/16.45 tff(2249,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2250,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2251,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 25.17/16.45 tff(2252,plain,
% 25.17/16.45 (~v104(constB14)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2251, 582, 2240, 2091])).
% 25.17/16.45 tff(2253,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2254,plain,
% 25.17/16.45 (((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2255,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2254])).
% 25.17/16.45 tff(2256,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2255, 2253])).
% 25.17/16.45 tff(2257,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2258,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | v102(constB14)),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 25.17/16.45 tff(2259,plain,
% 25.17/16.45 (v104(constB14) | v102(constB14)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2258, 596, 2240])).
% 25.17/16.45 tff(2260,plain,
% 25.17/16.45 (v102(constB14)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2259, 2252])).
% 25.17/16.45 tff(2261,plain,
% 25.17/16.45 (v1(constB14) <=> v1(constB14)),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2262,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 25.17/16.45 tff(2263,plain,
% 25.17/16.45 (v1(constB14)),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 25.17/16.45 tff(2264,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2265,plain,
% 25.17/16.45 (((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))) <=> ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2266,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2265])).
% 25.17/16.45 tff(2267,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2266, 2264])).
% 25.17/16.45 tff(2268,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2269,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | (~v1(constB14)) | v101(constB14) | (~v102(constB14))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 25.17/16.45 tff(2270,plain,
% 25.17/16.45 (v101(constB14) | (~v102(constB14))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2269, 617, 2240, 2263])).
% 25.17/16.45 tff(2271,plain,
% 25.17/16.45 (v101(constB14)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2270, 2260])).
% 25.17/16.45 tff(2272,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2273,plain,
% 25.17/16.45 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2274,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 25.17/16.45 inference(monotonicity,[status(thm)],[2273])).
% 25.17/16.45 tff(2275,plain,
% 25.17/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 25.17/16.45 inference(transitivity,[status(thm)],[2274, 2272])).
% 25.17/16.45 tff(2276,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2277,plain,
% 25.17/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 25.17/16.45 tff(2278,plain,
% 25.17/16.45 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2277, 635, 2240])).
% 25.17/16.45 tff(2279,plain,
% 25.17/16.45 (v100(constB14) | (~v110(constB14))),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2278, 2271])).
% 25.17/16.45 tff(2280,plain,
% 25.17/16.45 (v100(constB14)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2279, 2248])).
% 25.17/16.45 tff(2281,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2282,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2281])).
% 25.17/16.45 tff(2283,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2284,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 25.17/16.45 tff(2285,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2284, 2283])).
% 25.17/16.45 tff(2286,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2285])).
% 25.17/16.45 tff(2287,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2286, 2282])).
% 25.17/16.45 tff(2288,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB13)) | (~v90(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB13)) | (~v90(constB13, bitIndex2)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2289,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB13)) | (~v90(constB13, bitIndex2)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2290,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB13)) | (~v90(constB13, bitIndex2))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 25.17/16.45 tff(2291,plain,
% 25.17/16.45 (~v121(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2290, 2287, 2115])).
% 25.17/16.45 tff(2292,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2293,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2292])).
% 25.17/16.45 tff(2294,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2295,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 25.17/16.45 tff(2296,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 25.17/16.45 tff(2297,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2296])).
% 25.17/16.45 tff(2298,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2297, 2293])).
% 25.17/16.45 tff(2299,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB13)) | (~v90(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB13)) | (~v90(constB13, bitIndex2)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2300,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB13)) | (~v90(constB13, bitIndex2)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2301,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB13)) | (~v90(constB13, bitIndex2))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2300, 2299])).
% 25.17/16.45 tff(2302,plain,
% 25.17/16.45 (~v122(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2301, 2298, 2115])).
% 25.17/16.45 tff(2303,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2304,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2303])).
% 25.17/16.45 tff(2305,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2306,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 25.17/16.45 tff(2307,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2306, 2305])).
% 25.17/16.45 tff(2308,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2307])).
% 25.17/16.45 tff(2309,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2308, 2304])).
% 25.17/16.45 tff(2310,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2311,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2312,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2311, 2310])).
% 25.17/16.45 tff(2313,plain,
% 25.17/16.45 (~v119(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2312, 2309, 2153])).
% 25.17/16.45 tff(2314,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2315,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2314])).
% 25.17/16.45 tff(2316,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2317,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 25.17/16.45 tff(2318,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 25.17/16.45 tff(2319,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2318])).
% 25.17/16.45 tff(2320,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2319, 2315])).
% 25.17/16.45 tff(2321,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2322,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2323,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB13)) | (~v90(constB13, bitIndex1))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 25.17/16.45 tff(2324,plain,
% 25.17/16.45 (~v120(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2323, 2320, 2153])).
% 25.17/16.45 tff(2325,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2326,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2325])).
% 25.17/16.45 tff(2327,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2328,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 25.17/16.45 tff(2329,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 25.17/16.45 tff(2330,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2329])).
% 25.17/16.45 tff(2331,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2330, 2326])).
% 25.17/16.45 tff(2332,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2333,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2334,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB13)) | (~v90(constB13, bitIndex1))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 25.17/16.45 tff(2335,plain,
% 25.17/16.45 (~v123(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2334, 2331, 2153])).
% 25.17/16.45 tff(2336,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 25.17/16.45 inference(bind,[status(th)],[])).
% 25.17/16.45 tff(2337,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(quant_intro,[status(thm)],[2336])).
% 25.17/16.45 tff(2338,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2339,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 25.17/16.45 tff(2340,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 25.17/16.45 tff(2341,plain,(
% 25.17/16.45 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(skolemize,[status(sab)],[2340])).
% 25.17/16.45 tff(2342,plain,
% 25.17/16.45 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2341, 2337])).
% 25.17/16.45 tff(2343,plain,
% 25.17/16.45 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(rewrite,[status(thm)],[])).
% 25.17/16.45 tff(2344,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB13)) | (~v90(constB13, bitIndex1)))),
% 25.17/16.45 inference(quant_inst,[status(thm)],[])).
% 25.17/16.45 tff(2345,plain,
% 25.17/16.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB13)) | (~v90(constB13, bitIndex1))),
% 25.17/16.45 inference(modus_ponens,[status(thm)],[2344, 2343])).
% 25.17/16.45 tff(2346,plain,
% 25.17/16.45 (~v124(constB13)),
% 25.17/16.45 inference(unit_resolution,[status(thm)],[2345, 2342, 2153])).
% 25.17/16.45 tff(2347,plain,
% 25.17/16.45 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 25.17/16.46 inference(bind,[status(th)],[])).
% 25.17/16.46 tff(2348,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(quant_intro,[status(thm)],[2347])).
% 25.17/16.46 tff(2349,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2350,plain,
% 25.17/16.46 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 25.17/16.46 inference(bind,[status(th)],[])).
% 25.17/16.46 tff(2351,plain,
% 25.17/16.46 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(quant_intro,[status(thm)],[2350])).
% 25.17/16.46 tff(2352,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 25.17/16.46 tff(2353,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2352, 2351])).
% 25.17/16.46 tff(2354,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2353, 2349])).
% 25.17/16.46 tff(2355,plain,(
% 25.17/16.46 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(skolemize,[status(sab)],[2354])).
% 25.17/16.46 tff(2356,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2355, 2348])).
% 25.17/16.46 tff(2357,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2358,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2359,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 25.17/16.46 tff(2360,plain,
% 25.17/16.46 (~v130(constB13, bitIndex2)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2359, 2356, 2346, 2335, 2324, 2313, 2302, 2291])).
% 25.17/16.46 tff(2361,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2362,plain,
% 25.17/16.46 ((v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2))) <=> ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2363,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)))),
% 25.17/16.46 inference(monotonicity,[status(thm)],[2362])).
% 25.17/16.46 tff(2364,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 25.17/16.46 inference(transitivity,[status(thm)],[2363, 2361])).
% 25.17/16.46 tff(2365,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2366,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2365, 2364])).
% 25.17/16.46 tff(2367,plain,
% 25.17/16.46 ((~v127(constB13, bitIndex2)) | v26(constB13)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2366, 665, 2360])).
% 25.17/16.46 tff(2368,plain,
% 25.17/16.46 (~v127(constB13, bitIndex2)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2367, 127])).
% 25.17/16.46 tff(2369,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2370,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2371,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 25.17/16.46 tff(2372,plain,
% 25.17/16.46 (v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2371, 683, 2240])).
% 25.17/16.46 tff(2373,plain,
% 25.17/16.46 (~v129(constB14, bitIndex2)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2372, 2368])).
% 25.17/16.46 tff(2374,plain,
% 25.17/16.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2375,plain,
% 25.17/16.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2376,plain,
% 25.17/16.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 25.17/16.46 tff(2377,plain,
% 25.17/16.46 ((~v90(constB14, bitIndex2)) | (~v100(constB14))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2376, 698, 2373])).
% 25.17/16.46 tff(2378,plain,
% 25.17/16.46 (~v90(constB14, bitIndex2)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2377, 2280])).
% 25.17/16.46 tff(2379,plain,
% 25.17/16.46 ((~v1(constB15)) <=> (~v1(constB15))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2380,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 25.17/16.46 tff(2381,plain,
% 25.17/16.46 (~v1(constB15)),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 25.17/16.46 tff(2382,plain,
% 25.17/16.46 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2383,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 25.17/16.46 tff(2384,plain,
% 25.17/16.46 (nextState(constB14, constB15)),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 25.17/16.46 tff(2385,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2386,plain,
% 25.17/16.46 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2387,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 25.17/16.46 inference(monotonicity,[status(thm)],[2386])).
% 25.17/16.46 tff(2388,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 25.17/16.46 inference(transitivity,[status(thm)],[2387, 2385])).
% 25.17/16.46 tff(2389,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2390,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2389, 2388])).
% 25.17/16.46 tff(2391,plain,
% 25.17/16.46 (~v101(constB15)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2390, 342, 2384, 2381])).
% 25.17/16.46 tff(2392,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2393,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2394,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 25.17/16.46 tff(2395,plain,
% 25.17/16.46 (v101(constB15) | (~v100(constB15))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2394, 359, 2384])).
% 25.17/16.46 tff(2396,plain,
% 25.17/16.46 (~v100(constB15)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2395, 2391])).
% 25.17/16.46 tff(2397,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2398,plain,
% 25.17/16.46 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2399,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))))),
% 25.17/16.46 inference(monotonicity,[status(thm)],[2398])).
% 25.17/16.46 tff(2400,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 25.17/16.46 inference(transitivity,[status(thm)],[2399, 2397])).
% 25.17/16.46 tff(2401,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2402,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 25.17/16.46 tff(2403,plain,
% 25.17/16.46 (v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2402, 374, 2384])).
% 25.17/16.46 tff(2404,plain,
% 25.17/16.46 (v90(constB14, bitIndex2) | (~v90(constB15, bitIndex2))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2403, 2396])).
% 25.17/16.46 tff(2405,plain,
% 25.17/16.46 (~v90(constB15, bitIndex2)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2404, 2378])).
% 25.17/16.46 tff(2406,plain,
% 25.17/16.46 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 25.17/16.46 inference(bind,[status(th)],[])).
% 25.17/16.46 tff(2407,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(quant_intro,[status(thm)],[2406])).
% 25.17/16.46 tff(2408,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2409,plain,
% 25.17/16.46 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 25.17/16.46 inference(bind,[status(th)],[])).
% 25.17/16.46 tff(2410,plain,
% 25.17/16.46 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(quant_intro,[status(thm)],[2409])).
% 25.17/16.46 tff(2411,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 25.17/16.46 tff(2412,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 25.17/16.46 tff(2413,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2412, 2408])).
% 25.17/16.46 tff(2414,plain,(
% 25.17/16.46 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(skolemize,[status(sab)],[2413])).
% 25.17/16.46 tff(2415,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2414, 2407])).
% 25.17/16.46 tff(2416,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2417,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2418,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2417, 2416])).
% 25.17/16.46 tff(2419,plain,
% 25.17/16.46 (~v130(constB13, bitIndex1)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2418, 2415, 2346, 2335, 2324, 2313, 2302, 2291])).
% 25.17/16.46 tff(2420,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2421,plain,
% 25.17/16.46 ((v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1))) <=> ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2422,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)))),
% 25.17/16.46 inference(monotonicity,[status(thm)],[2421])).
% 25.17/16.46 tff(2423,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 25.17/16.46 inference(transitivity,[status(thm)],[2422, 2420])).
% 25.17/16.46 tff(2424,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2425,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2424, 2423])).
% 25.17/16.46 tff(2426,plain,
% 25.17/16.46 ((~v127(constB13, bitIndex1)) | v26(constB13)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2425, 751, 2419])).
% 25.17/16.46 tff(2427,plain,
% 25.17/16.46 (~v127(constB13, bitIndex1)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2426, 127])).
% 25.17/16.46 tff(2428,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2429,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2430,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 25.17/16.46 tff(2431,plain,
% 25.17/16.46 (v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2430, 769, 2240])).
% 25.17/16.46 tff(2432,plain,
% 25.17/16.46 (~v129(constB14, bitIndex1)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2431, 2427])).
% 25.17/16.46 tff(2433,plain,
% 25.17/16.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2434,plain,
% 25.17/16.46 (((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2435,plain,
% 25.17/16.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))))),
% 25.17/16.46 inference(monotonicity,[status(thm)],[2434])).
% 25.17/16.46 tff(2436,plain,
% 25.17/16.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 25.17/16.46 inference(transitivity,[status(thm)],[2435, 2433])).
% 25.17/16.46 tff(2437,plain,
% 25.17/16.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2438,plain,
% 25.17/16.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 25.17/16.46 tff(2439,plain,
% 25.17/16.46 ((~v90(constB14, bitIndex1)) | (~v100(constB14))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2438, 784, 2432])).
% 25.17/16.46 tff(2440,plain,
% 25.17/16.46 (~v90(constB14, bitIndex1)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2439, 2280])).
% 25.17/16.46 tff(2441,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2442,plain,
% 25.17/16.46 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2443,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))))),
% 25.17/16.46 inference(monotonicity,[status(thm)],[2442])).
% 25.17/16.46 tff(2444,plain,
% 25.17/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 25.17/16.46 inference(transitivity,[status(thm)],[2443, 2441])).
% 25.17/16.46 tff(2445,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 25.17/16.46 inference(quant_inst,[status(thm)],[])).
% 25.17/16.46 tff(2446,plain,
% 25.17/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 25.17/16.46 tff(2447,plain,
% 25.17/16.46 (v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2446, 395, 2384])).
% 25.17/16.46 tff(2448,plain,
% 25.17/16.46 (v90(constB14, bitIndex1) | (~v90(constB15, bitIndex1))),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2447, 2396])).
% 25.17/16.46 tff(2449,plain,
% 25.17/16.46 (~v90(constB15, bitIndex1)),
% 25.17/16.46 inference(unit_resolution,[status(thm)],[2448, 2440])).
% 25.17/16.46 tff(2450,plain,
% 25.17/16.46 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 25.17/16.46 inference(bind,[status(th)],[])).
% 25.17/16.46 tff(2451,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(quant_intro,[status(thm)],[2450])).
% 25.17/16.46 tff(2452,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2453,plain,
% 25.17/16.46 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 25.17/16.46 inference(bind,[status(th)],[])).
% 25.17/16.46 tff(2454,plain,
% 25.17/16.46 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(quant_intro,[status(thm)],[2453])).
% 25.17/16.46 tff(2455,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 25.17/16.46 tff(2456,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2455, 2454])).
% 25.17/16.46 tff(2457,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2456, 2452])).
% 25.17/16.46 tff(2458,plain,(
% 25.17/16.46 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(skolemize,[status(sab)],[2457])).
% 25.17/16.46 tff(2459,plain,
% 25.17/16.46 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 25.17/16.46 inference(modus_ponens,[status(thm)],[2458, 2451])).
% 25.17/16.46 tff(2460,plain,
% 25.17/16.46 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 25.17/16.46 inference(rewrite,[status(thm)],[])).
% 25.17/16.46 tff(2461,plain,
% 25.17/16.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2462,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 25.17/16.47 tff(2463,plain,
% 25.17/16.47 (v130(constB13, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2462, 2459, 2346, 2335, 2324, 2313, 2302, 2291])).
% 25.17/16.47 tff(2464,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2465,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2466,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 25.17/16.47 tff(2467,plain,
% 25.17/16.47 (v26(constB13) | v127(constB13, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2466, 822, 2463])).
% 25.17/16.47 tff(2468,plain,
% 25.17/16.47 (v127(constB13, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2467, 127])).
% 25.17/16.47 tff(2469,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2470,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2471,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 25.17/16.47 tff(2472,plain,
% 25.17/16.47 ((~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2471, 837, 2240])).
% 25.17/16.47 tff(2473,plain,
% 25.17/16.47 (v129(constB14, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2472, 2468])).
% 25.17/16.47 tff(2474,plain,
% 25.17/16.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2475,plain,
% 25.17/16.47 ((v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2476,plain,
% 25.17/16.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2475])).
% 25.17/16.47 tff(2477,plain,
% 25.17/16.47 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2476, 2474])).
% 25.17/16.47 tff(2478,plain,
% 25.17/16.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2479,plain,
% 25.17/16.47 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2478, 2477])).
% 25.17/16.47 tff(2480,plain,
% 25.17/16.47 (v90(constB14, bitIndex0) | (~v100(constB14))),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2479, 852, 2473])).
% 25.17/16.47 tff(2481,plain,
% 25.17/16.47 (v90(constB14, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2480, 2280])).
% 25.17/16.47 tff(2482,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2483,plain,
% 25.17/16.47 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2484,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2483])).
% 25.17/16.47 tff(2485,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2484, 2482])).
% 25.17/16.47 tff(2486,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2487,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 25.17/16.47 tff(2488,plain,
% 25.17/16.47 ((~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2487, 870, 2384])).
% 25.17/16.47 tff(2489,plain,
% 25.17/16.47 ((~v90(constB14, bitIndex0)) | v90(constB15, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2488, 2396])).
% 25.17/16.47 tff(2490,plain,
% 25.17/16.47 (v90(constB15, bitIndex0)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2489, 2481])).
% 25.17/16.47 tff(2491,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2492,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2493,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 25.17/16.47 tff(2494,plain,
% 25.17/16.47 (v120(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2493, 889, 2490, 2449, 2405])).
% 25.17/16.47 tff(2495,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2496,plain,
% 25.17/16.47 (((~v120(constB15)) | v118(constB15)) <=> (v118(constB15) | (~v120(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2497,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2496])).
% 25.17/16.47 tff(2498,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2497, 2495])).
% 25.17/16.47 tff(2499,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2500,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 25.17/16.47 tff(2501,plain,
% 25.17/16.47 (v118(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2500, 900, 2494])).
% 25.17/16.47 tff(2502,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2503,plain,
% 25.17/16.47 (((~v118(constB15)) | v117(constB15)) <=> (v117(constB15) | (~v118(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2504,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2503])).
% 25.17/16.47 tff(2505,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2504, 2502])).
% 25.17/16.47 tff(2506,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2507,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 25.17/16.47 tff(2508,plain,
% 25.17/16.47 (v117(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2507, 462, 2501])).
% 25.17/16.47 tff(2509,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2510,plain,
% 25.17/16.47 (((~v117(constB15)) | v116(constB15)) <=> (v116(constB15) | (~v117(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2511,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2510])).
% 25.17/16.47 tff(2512,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2511, 2509])).
% 25.17/16.47 tff(2513,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2514,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 25.17/16.47 tff(2515,plain,
% 25.17/16.47 (v116(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2514, 476, 2508])).
% 25.17/16.47 tff(2516,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2517,plain,
% 25.17/16.47 (((~v116(constB15)) | v115(constB15)) <=> (v115(constB15) | (~v116(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2518,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2517])).
% 25.17/16.47 tff(2519,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2518, 2516])).
% 25.17/16.47 tff(2520,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2521,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 25.17/16.47 tff(2522,plain,
% 25.17/16.47 (v115(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2521, 490, 2515])).
% 25.17/16.47 tff(2523,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB15) | (~v115(constB15)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v115(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2524,plain,
% 25.17/16.47 (((~v115(constB15)) | v114(constB15)) <=> (v114(constB15) | (~v115(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2525,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB15) | (~v115(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2524])).
% 25.17/16.47 tff(2526,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v115(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2525, 2523])).
% 25.17/16.47 tff(2527,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2528,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v115(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2527, 2526])).
% 25.17/16.47 tff(2529,plain,
% 25.17/16.47 (v114(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2528, 504, 2522])).
% 25.17/16.47 tff(2530,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2531,plain,
% 25.17/16.47 (((~v114(constB15)) | v113(constB15)) <=> (v113(constB15) | (~v114(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2532,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2531])).
% 25.17/16.47 tff(2533,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2532, 2530])).
% 25.17/16.47 tff(2534,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2535,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 25.17/16.47 tff(2536,plain,
% 25.17/16.47 (v113(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2535, 518, 2529])).
% 25.17/16.47 tff(2537,assumption,(v26(constB15)), introduced(assumption)).
% 25.17/16.47 tff(2538,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2539,plain,
% 25.17/16.47 ($false),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2538, 120, 2537])).
% 25.17/16.47 tff(2540,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.47 tff(2541,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2542,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2543,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | (~v113(constB15)) | v112(constB15)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2542, 2541])).
% 25.17/16.47 tff(2544,plain,
% 25.17/16.47 ((~v113(constB15)) | v112(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2543, 532, 2540])).
% 25.17/16.47 tff(2545,plain,
% 25.17/16.47 (v112(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2544, 2536])).
% 25.17/16.47 tff(2546,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2547,plain,
% 25.17/16.47 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2548,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2547])).
% 25.17/16.47 tff(2549,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2548, 2546])).
% 25.17/16.47 tff(2550,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2551,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 25.17/16.47 tff(2552,plain,
% 25.17/16.47 (v108(constB15)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2551, 544, 2545])).
% 25.17/16.47 tff(2553,plain,
% 25.17/16.47 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2554,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 25.17/16.47 tff(2555,plain,
% 25.17/16.47 (nextState(constB15, constB16)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 25.17/16.47 tff(2556,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2557,plain,
% 25.17/16.47 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2558,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2557])).
% 25.17/16.47 tff(2559,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2558, 2556])).
% 25.17/16.47 tff(2560,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2561,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 25.17/16.47 tff(2562,plain,
% 25.17/16.47 (v110(constB16) | (~v108(constB15))),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2561, 564, 2555])).
% 25.17/16.47 tff(2563,plain,
% 25.17/16.47 (v110(constB16)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2562, 2552])).
% 25.17/16.47 tff(2564,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2565,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2566,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 25.17/16.47 tff(2567,plain,
% 25.17/16.47 (~v104(constB16)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2566, 582, 2555, 2381])).
% 25.17/16.47 tff(2568,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2569,plain,
% 25.17/16.47 (((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2570,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2569])).
% 25.17/16.47 tff(2571,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2570, 2568])).
% 25.17/16.47 tff(2572,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2573,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | v102(constB16)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 25.17/16.47 tff(2574,plain,
% 25.17/16.47 (v104(constB16) | v102(constB16)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2573, 596, 2555])).
% 25.17/16.47 tff(2575,plain,
% 25.17/16.47 (v102(constB16)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2574, 2567])).
% 25.17/16.47 tff(2576,plain,
% 25.17/16.47 (v1(constB16) <=> v1(constB16)),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2577,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 25.17/16.47 tff(2578,plain,
% 25.17/16.47 (v1(constB16)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 25.17/16.47 tff(2579,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2580,plain,
% 25.17/16.47 (((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))) <=> ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2581,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2580])).
% 25.17/16.47 tff(2582,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2581, 2579])).
% 25.17/16.47 tff(2583,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2584,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | (~v1(constB16)) | v101(constB16) | (~v102(constB16))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2583, 2582])).
% 25.17/16.47 tff(2585,plain,
% 25.17/16.47 (v101(constB16) | (~v102(constB16))),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2584, 617, 2555, 2578])).
% 25.17/16.47 tff(2586,plain,
% 25.17/16.47 (v101(constB16)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2585, 2575])).
% 25.17/16.47 tff(2587,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2588,plain,
% 25.17/16.47 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2589,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2588])).
% 25.17/16.47 tff(2590,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2589, 2587])).
% 25.17/16.47 tff(2591,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2592,plain,
% 25.17/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 25.17/16.47 tff(2593,plain,
% 25.17/16.47 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2592, 635, 2555])).
% 25.17/16.47 tff(2594,plain,
% 25.17/16.47 (v100(constB16) | (~v110(constB16))),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2593, 2586])).
% 25.17/16.47 tff(2595,plain,
% 25.17/16.47 (v100(constB16)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2594, 2563])).
% 25.17/16.47 tff(2596,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2597,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2598,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2))),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 25.17/16.47 tff(2599,plain,
% 25.17/16.47 (~v130(constB15, bitIndex2)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2598, 1005, 2494])).
% 25.17/16.47 tff(2600,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2601,plain,
% 25.17/16.47 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 25.17/16.47 inference(rewrite,[status(thm)],[])).
% 25.17/16.47 tff(2602,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 25.17/16.47 inference(monotonicity,[status(thm)],[2601])).
% 25.17/16.47 tff(2603,plain,
% 25.17/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 25.17/16.47 inference(transitivity,[status(thm)],[2602, 2600])).
% 25.17/16.47 tff(2604,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 25.17/16.47 inference(quant_inst,[status(thm)],[])).
% 25.17/16.47 tff(2605,plain,
% 25.17/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 25.17/16.47 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 25.17/16.47 tff(2606,plain,
% 25.17/16.47 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2605, 665, 2540])).
% 25.17/16.47 tff(2607,plain,
% 25.17/16.47 (~v127(constB15, bitIndex2)),
% 25.17/16.47 inference(unit_resolution,[status(thm)],[2606, 2599])).
% 25.17/16.47 tff(2608,plain,
% 25.17/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2609,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2610,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 25.17/16.48 tff(2611,plain,
% 25.17/16.48 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2610, 683, 2555])).
% 25.17/16.48 tff(2612,plain,
% 25.17/16.48 (~v129(constB16, bitIndex2)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2611, 2607])).
% 25.17/16.48 tff(2613,plain,
% 25.17/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2614,plain,
% 25.17/16.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2615,plain,
% 25.17/16.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 25.17/16.48 tff(2616,plain,
% 25.17/16.48 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2615, 698, 2612])).
% 25.17/16.48 tff(2617,plain,
% 25.17/16.48 (~v90(constB16, bitIndex2)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2616, 2595])).
% 25.17/16.48 tff(2618,plain,
% 25.17/16.48 ((~v1(constB17)) <=> (~v1(constB17))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2619,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 25.17/16.48 tff(2620,plain,
% 25.17/16.48 (~v1(constB17)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 25.17/16.48 tff(2621,plain,
% 25.17/16.48 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2622,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 25.17/16.48 tff(2623,plain,
% 25.17/16.48 (nextState(constB16, constB17)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 25.17/16.48 tff(2624,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2625,plain,
% 25.17/16.48 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2626,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2625])).
% 25.17/16.48 tff(2627,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2626, 2624])).
% 25.17/16.48 tff(2628,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2629,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 25.17/16.48 tff(2630,plain,
% 25.17/16.48 (~v101(constB17)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2629, 342, 2623, 2620])).
% 25.17/16.48 tff(2631,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2632,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2633,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 25.17/16.48 tff(2634,plain,
% 25.17/16.48 (v101(constB17) | (~v100(constB17))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2633, 359, 2623])).
% 25.17/16.48 tff(2635,plain,
% 25.17/16.48 (~v100(constB17)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2634, 2630])).
% 25.17/16.48 tff(2636,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2637,plain,
% 25.17/16.48 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2638,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2637])).
% 25.17/16.48 tff(2639,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2638, 2636])).
% 25.17/16.48 tff(2640,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2641,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 25.17/16.48 tff(2642,plain,
% 25.17/16.48 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2641, 374, 2623])).
% 25.17/16.48 tff(2643,plain,
% 25.17/16.48 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2642, 2635])).
% 25.17/16.48 tff(2644,plain,
% 25.17/16.48 (~v90(constB17, bitIndex2)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2643, 2617])).
% 25.17/16.48 tff(2645,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2646,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2647,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 25.17/16.48 tff(2648,plain,
% 25.17/16.48 (v130(constB15, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2647, 1061, 2494])).
% 25.17/16.48 tff(2649,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2650,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2651,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2650, 2649])).
% 25.17/16.48 tff(2652,plain,
% 25.17/16.48 ((~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2651, 1075, 2540])).
% 25.17/16.48 tff(2653,plain,
% 25.17/16.48 (v127(constB15, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2652, 2648])).
% 25.17/16.48 tff(2654,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2655,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2656,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 25.17/16.48 tff(2657,plain,
% 25.17/16.48 ((~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2656, 1090, 2555])).
% 25.17/16.48 tff(2658,plain,
% 25.17/16.48 (v129(constB16, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2657, 2653])).
% 25.17/16.48 tff(2659,plain,
% 25.17/16.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2660,plain,
% 25.17/16.48 ((v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2661,plain,
% 25.17/16.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2660])).
% 25.17/16.48 tff(2662,plain,
% 25.17/16.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2661, 2659])).
% 25.17/16.48 tff(2663,plain,
% 25.17/16.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2664,plain,
% 25.17/16.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2663, 2662])).
% 25.17/16.48 tff(2665,plain,
% 25.17/16.48 (v90(constB16, bitIndex1) | (~v100(constB16))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2664, 1105, 2658])).
% 25.17/16.48 tff(2666,plain,
% 25.17/16.48 (v90(constB16, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2665, 2595])).
% 25.17/16.48 tff(2667,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2668,plain,
% 25.17/16.48 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2669,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2668])).
% 25.17/16.48 tff(2670,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2669, 2667])).
% 25.17/16.48 tff(2671,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2672,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 25.17/16.48 tff(2673,plain,
% 25.17/16.48 ((~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2672, 1123, 2623])).
% 25.17/16.48 tff(2674,plain,
% 25.17/16.48 ((~v90(constB16, bitIndex1)) | v90(constB17, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2673, 2635])).
% 25.17/16.48 tff(2675,plain,
% 25.17/16.48 (v90(constB17, bitIndex1)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2674, 2666])).
% 25.17/16.48 tff(2676,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2677,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2678,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2677, 2676])).
% 25.17/16.48 tff(2679,plain,
% 25.17/16.48 (~v130(constB15, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2678, 1139, 2494])).
% 25.17/16.48 tff(2680,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2681,plain,
% 25.17/16.48 ((v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0))) <=> ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2682,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2681])).
% 25.17/16.48 tff(2683,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2682, 2680])).
% 25.17/16.48 tff(2684,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2685,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 25.17/16.48 tff(2686,plain,
% 25.17/16.48 ((~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2685, 1153, 2540])).
% 25.17/16.48 tff(2687,plain,
% 25.17/16.48 (~v127(constB15, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2686, 2679])).
% 25.17/16.48 tff(2688,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2689,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2690,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 25.17/16.48 tff(2691,plain,
% 25.17/16.48 (v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2690, 1171, 2555])).
% 25.17/16.48 tff(2692,plain,
% 25.17/16.48 (~v129(constB16, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2691, 2687])).
% 25.17/16.48 tff(2693,plain,
% 25.17/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2694,plain,
% 25.17/16.48 (((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2695,plain,
% 25.17/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2694])).
% 25.17/16.48 tff(2696,plain,
% 25.17/16.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2695, 2693])).
% 25.17/16.48 tff(2697,plain,
% 25.17/16.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2698,plain,
% 25.17/16.48 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 25.17/16.48 tff(2699,plain,
% 25.17/16.48 ((~v90(constB16, bitIndex0)) | (~v100(constB16))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2698, 1186, 2692])).
% 25.17/16.48 tff(2700,plain,
% 25.17/16.48 (~v90(constB16, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2699, 2595])).
% 25.17/16.48 tff(2701,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2702,plain,
% 25.17/16.48 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2703,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2702])).
% 25.17/16.48 tff(2704,plain,
% 25.17/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2703, 2701])).
% 25.17/16.48 tff(2705,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2706,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 25.17/16.48 tff(2707,plain,
% 25.17/16.48 (v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2706, 416, 2623])).
% 25.17/16.48 tff(2708,plain,
% 25.17/16.48 (v90(constB16, bitIndex0) | (~v90(constB17, bitIndex0))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2707, 2635])).
% 25.17/16.48 tff(2709,plain,
% 25.17/16.48 (~v90(constB17, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2708, 2700])).
% 25.17/16.48 tff(2710,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2711,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2712,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 25.17/16.48 tff(2713,plain,
% 25.17/16.48 (v121(constB17)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2712, 1213, 2709, 2675, 2644])).
% 25.17/16.48 tff(2714,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB17) | (~v121(constB17)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB17) | (~v121(constB17)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2715,plain,
% 25.17/16.48 (((~v121(constB17)) | v117(constB17)) <=> (v117(constB17) | (~v121(constB17)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2716,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB17) | (~v121(constB17))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[2715])).
% 25.17/16.48 tff(2717,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB17) | (~v121(constB17)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[2716, 2714])).
% 25.17/16.48 tff(2718,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2719,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB17) | (~v121(constB17))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2718, 2717])).
% 25.17/16.48 tff(2720,plain,
% 25.17/16.48 (v117(constB17)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2719, 1224, 2713])).
% 25.17/16.48 tff(2721,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB17)) | v116(constB17))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2722,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2723,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB17)) | v116(constB17)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 25.17/16.48 tff(2724,plain,
% 25.17/16.48 (v116(constB17)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2723, 476, 2720])).
% 25.17/16.48 tff(2725,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB17)) | v115(constB17))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(2726,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(2727,plain,
% 25.17/16.48 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB17)) | v115(constB17)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 25.17/16.48 tff(2728,plain,
% 25.17/16.48 (v115(constB17)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[2727, 490, 2724])).
% 25.17/16.48 tff(2729,plain,
% 25.17/16.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2730,plain,
% 25.17/16.49 (((~v115(constB17)) | v114(constB17)) <=> (v114(constB17) | (~v115(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2731,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2730])).
% 25.17/16.49 tff(2732,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2731, 2729])).
% 25.17/16.49 tff(2733,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2734,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 25.17/16.49 tff(2735,plain,
% 25.17/16.49 (v114(constB17)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2734, 504, 2728])).
% 25.17/16.49 tff(2736,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB17)) | v113(constB17))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2737,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2738,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB17)) | v113(constB17)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 25.17/16.49 tff(2739,plain,
% 25.17/16.49 (v113(constB17)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2738, 518, 2735])).
% 25.17/16.49 tff(2740,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2741,plain,
% 25.17/16.49 ((v26(constB17) | (~v113(constB17)) | v112(constB17)) <=> (v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2742,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2741])).
% 25.17/16.49 tff(2743,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2742, 2740])).
% 25.17/16.49 tff(2744,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2745,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 25.17/16.49 tff(2746,plain,
% 25.17/16.49 (v26(constB17) | v112(constB17)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2745, 532, 2739])).
% 25.17/16.49 tff(2747,plain,
% 25.17/16.49 (v112(constB17)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2746, 123])).
% 25.17/16.49 tff(2748,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2749,plain,
% 25.17/16.49 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2750,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2749])).
% 25.17/16.49 tff(2751,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2750, 2748])).
% 25.17/16.49 tff(2752,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2753,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 25.17/16.49 tff(2754,plain,
% 25.17/16.49 (v108(constB17)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2753, 544, 2747])).
% 25.17/16.49 tff(2755,plain,
% 25.17/16.49 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2756,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 25.17/16.49 tff(2757,plain,
% 25.17/16.49 (nextState(constB17, constB18)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 25.17/16.49 tff(2758,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2759,plain,
% 25.17/16.49 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2760,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2759])).
% 25.17/16.49 tff(2761,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2760, 2758])).
% 25.17/16.49 tff(2762,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2763,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2762, 2761])).
% 25.17/16.49 tff(2764,plain,
% 25.17/16.49 (v110(constB18) | (~v108(constB17))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2763, 564, 2757])).
% 25.17/16.49 tff(2765,plain,
% 25.17/16.49 (v110(constB18)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2764, 2754])).
% 25.17/16.49 tff(2766,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2767,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2768,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2767, 2766])).
% 25.17/16.49 tff(2769,plain,
% 25.17/16.49 (~v104(constB18)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2768, 582, 2757, 2620])).
% 25.17/16.49 tff(2770,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2771,plain,
% 25.17/16.49 (((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2772,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2771])).
% 25.17/16.49 tff(2773,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2772, 2770])).
% 25.17/16.49 tff(2774,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2775,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | v102(constB18)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 25.17/16.49 tff(2776,plain,
% 25.17/16.49 (v104(constB18) | v102(constB18)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2775, 596, 2757])).
% 25.17/16.49 tff(2777,plain,
% 25.17/16.49 (v102(constB18)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2776, 2769])).
% 25.17/16.49 tff(2778,plain,
% 25.17/16.49 (v1(constB18) <=> v1(constB18)),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2779,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 25.17/16.49 tff(2780,plain,
% 25.17/16.49 (v1(constB18)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 25.17/16.49 tff(2781,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2782,plain,
% 25.17/16.49 (((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))) <=> ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2783,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2782])).
% 25.17/16.49 tff(2784,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2783, 2781])).
% 25.17/16.49 tff(2785,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2786,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | (~v1(constB18)) | v101(constB18) | (~v102(constB18))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2785, 2784])).
% 25.17/16.49 tff(2787,plain,
% 25.17/16.49 (v101(constB18) | (~v102(constB18))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2786, 617, 2757, 2780])).
% 25.17/16.49 tff(2788,plain,
% 25.17/16.49 (v101(constB18)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2787, 2777])).
% 25.17/16.49 tff(2789,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2790,plain,
% 25.17/16.49 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2791,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2790])).
% 25.17/16.49 tff(2792,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2791, 2789])).
% 25.17/16.49 tff(2793,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2794,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 25.17/16.49 tff(2795,plain,
% 25.17/16.49 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2794, 635, 2757])).
% 25.17/16.49 tff(2796,plain,
% 25.17/16.49 (v100(constB18) | (~v110(constB18))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2795, 2788])).
% 25.17/16.49 tff(2797,plain,
% 25.17/16.49 (v100(constB18)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2796, 2765])).
% 25.17/16.49 tff(2798,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2799,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2800,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 25.17/16.49 tff(2801,plain,
% 25.17/16.49 (~v130(constB17, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2800, 1325, 2713])).
% 25.17/16.49 tff(2802,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2803,plain,
% 25.17/16.49 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2804,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2803])).
% 25.17/16.49 tff(2805,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2804, 2802])).
% 25.17/16.49 tff(2806,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2807,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 25.17/16.49 tff(2808,plain,
% 25.17/16.49 ((~v127(constB17, bitIndex2)) | v26(constB17)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2807, 665, 2801])).
% 25.17/16.49 tff(2809,plain,
% 25.17/16.49 (~v127(constB17, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2808, 123])).
% 25.17/16.49 tff(2810,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2811,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2812,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 25.17/16.49 tff(2813,plain,
% 25.17/16.49 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2812, 683, 2757])).
% 25.17/16.49 tff(2814,plain,
% 25.17/16.49 (~v129(constB18, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2813, 2809])).
% 25.17/16.49 tff(2815,plain,
% 25.17/16.49 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2816,plain,
% 25.17/16.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2817,plain,
% 25.17/16.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 25.17/16.49 tff(2818,plain,
% 25.17/16.49 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2817, 698, 2814])).
% 25.17/16.49 tff(2819,plain,
% 25.17/16.49 (~v90(constB18, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2818, 2797])).
% 25.17/16.49 tff(2820,plain,
% 25.17/16.49 ((~v1(constB19)) <=> (~v1(constB19))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2821,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 25.17/16.49 tff(2822,plain,
% 25.17/16.49 (~v1(constB19)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 25.17/16.49 tff(2823,plain,
% 25.17/16.49 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2824,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 25.17/16.49 tff(2825,plain,
% 25.17/16.49 (nextState(constB18, constB19)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 25.17/16.49 tff(2826,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2827,plain,
% 25.17/16.49 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2828,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2827])).
% 25.17/16.49 tff(2829,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2828, 2826])).
% 25.17/16.49 tff(2830,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2831,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2830, 2829])).
% 25.17/16.49 tff(2832,plain,
% 25.17/16.49 (~v101(constB19)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2831, 342, 2825, 2822])).
% 25.17/16.49 tff(2833,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2834,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2835,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2834, 2833])).
% 25.17/16.49 tff(2836,plain,
% 25.17/16.49 (v101(constB19) | (~v100(constB19))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2835, 359, 2825])).
% 25.17/16.49 tff(2837,plain,
% 25.17/16.49 (~v100(constB19)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2836, 2832])).
% 25.17/16.49 tff(2838,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2839,plain,
% 25.17/16.49 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2840,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[2839])).
% 25.17/16.49 tff(2841,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[2840, 2838])).
% 25.17/16.49 tff(2842,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2843,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 25.17/16.49 tff(2844,plain,
% 25.17/16.49 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2843, 374, 2825])).
% 25.17/16.49 tff(2845,plain,
% 25.17/16.49 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2844, 2837])).
% 25.17/16.49 tff(2846,plain,
% 25.17/16.49 (~v90(constB19, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2845, 2819])).
% 25.17/16.49 tff(2847,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2848,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2849,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 25.17/16.49 tff(2850,plain,
% 25.17/16.49 (v130(constB17, bitIndex1)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2849, 1375, 2713])).
% 25.17/16.49 tff(2851,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(2852,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(2853,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 25.17/16.49 tff(2854,plain,
% 25.17/16.49 (v26(constB17) | v127(constB17, bitIndex1)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2853, 1075, 2850])).
% 25.17/16.49 tff(2855,plain,
% 25.17/16.49 (v127(constB17, bitIndex1)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[2854, 123])).
% 25.17/16.49 tff(2856,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 25.23/16.49 inference(rewrite,[status(thm)],[])).
% 25.23/16.49 tff(2857,plain,
% 25.23/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 25.23/16.49 inference(quant_inst,[status(thm)],[])).
% 25.23/16.49 tff(2858,plain,
% 25.23/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 25.23/16.49 inference(modus_ponens,[status(thm)],[2857, 2856])).
% 25.23/16.49 tff(2859,plain,
% 25.23/16.49 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 25.23/16.49 inference(unit_resolution,[status(thm)],[2858, 1090, 2757])).
% 25.23/16.49 tff(2860,plain,
% 25.23/16.49 (v129(constB18, bitIndex1)),
% 25.23/16.49 inference(unit_resolution,[status(thm)],[2859, 2855])).
% 25.23/16.49 tff(2861,plain,
% 25.23/16.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 25.23/16.49 inference(rewrite,[status(thm)],[])).
% 25.23/16.49 tff(2862,plain,
% 25.23/16.49 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 25.23/16.49 inference(rewrite,[status(thm)],[])).
% 25.23/16.49 tff(2863,plain,
% 25.23/16.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 25.23/16.49 inference(monotonicity,[status(thm)],[2862])).
% 25.23/16.49 tff(2864,plain,
% 25.23/16.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 25.23/16.49 inference(transitivity,[status(thm)],[2863, 2861])).
% 25.23/16.49 tff(2865,plain,
% 25.23/16.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 25.23/16.49 inference(quant_inst,[status(thm)],[])).
% 25.23/16.49 tff(2866,plain,
% 25.23/16.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 25.23/16.49 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 25.23/16.49 tff(2867,plain,
% 25.23/16.49 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 25.23/16.49 inference(unit_resolution,[status(thm)],[2866, 1105, 2860])).
% 25.23/16.49 tff(2868,plain,
% 25.23/16.49 (v90(constB18, bitIndex1)),
% 25.23/16.49 inference(unit_resolution,[status(thm)],[2867, 2797])).
% 25.23/16.49 tff(2869,plain,
% 25.23/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 25.23/16.49 inference(rewrite,[status(thm)],[])).
% 25.23/16.49 tff(2870,plain,
% 25.23/16.49 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 25.23/16.49 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2871,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2870])).
% 25.23/16.50 tff(2872,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2871, 2869])).
% 25.23/16.50 tff(2873,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2874,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 25.23/16.50 tff(2875,plain,
% 25.23/16.50 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2874, 1123, 2825])).
% 25.23/16.50 tff(2876,plain,
% 25.23/16.50 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2875, 2837])).
% 25.23/16.50 tff(2877,plain,
% 25.23/16.50 (v90(constB19, bitIndex1)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2876, 2868])).
% 25.23/16.50 tff(2878,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2879,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2880,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 25.23/16.50 tff(2881,plain,
% 25.23/16.50 (v130(constB17, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2880, 1413, 2713])).
% 25.23/16.50 tff(2882,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2883,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2884,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2883, 2882])).
% 25.23/16.50 tff(2885,plain,
% 25.23/16.50 (v26(constB17) | v127(constB17, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2884, 822, 2881])).
% 25.23/16.50 tff(2886,plain,
% 25.23/16.50 (v127(constB17, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2885, 123])).
% 25.23/16.50 tff(2887,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2888,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2889,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2888, 2887])).
% 25.23/16.50 tff(2890,plain,
% 25.23/16.50 ((~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2889, 837, 2757])).
% 25.23/16.50 tff(2891,plain,
% 25.23/16.50 (v129(constB18, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2890, 2886])).
% 25.23/16.50 tff(2892,plain,
% 25.23/16.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2893,plain,
% 25.23/16.50 ((v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2894,plain,
% 25.23/16.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2893])).
% 25.23/16.50 tff(2895,plain,
% 25.23/16.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2894, 2892])).
% 25.23/16.50 tff(2896,plain,
% 25.23/16.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2897,plain,
% 25.23/16.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2896, 2895])).
% 25.23/16.50 tff(2898,plain,
% 25.23/16.50 (v90(constB18, bitIndex0) | (~v100(constB18))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2897, 852, 2891])).
% 25.23/16.50 tff(2899,plain,
% 25.23/16.50 (v90(constB18, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2898, 2797])).
% 25.23/16.50 tff(2900,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2901,plain,
% 25.23/16.50 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2902,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2901])).
% 25.23/16.50 tff(2903,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2902, 2900])).
% 25.23/16.50 tff(2904,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2905,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 25.23/16.50 tff(2906,plain,
% 25.23/16.50 ((~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2905, 870, 2825])).
% 25.23/16.50 tff(2907,plain,
% 25.23/16.50 ((~v90(constB18, bitIndex0)) | v90(constB19, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2906, 2837])).
% 25.23/16.50 tff(2908,plain,
% 25.23/16.50 (v90(constB19, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2907, 2899])).
% 25.23/16.50 tff(2909,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2910,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2911,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 25.23/16.50 tff(2912,plain,
% 25.23/16.50 (v122(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2911, 1454, 2908, 2877, 2846])).
% 25.23/16.50 tff(2913,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB19)) | v116(constB19))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2914,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2915,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB19)) | v116(constB19)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 25.23/16.50 tff(2916,plain,
% 25.23/16.50 (v116(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2915, 1465, 2912])).
% 25.23/16.50 tff(2917,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2918,plain,
% 25.23/16.50 (((~v116(constB19)) | v115(constB19)) <=> (v115(constB19) | (~v116(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2919,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2918])).
% 25.23/16.50 tff(2920,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2919, 2917])).
% 25.23/16.50 tff(2921,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2922,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 25.23/16.50 tff(2923,plain,
% 25.23/16.50 (v115(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2922, 490, 2916])).
% 25.23/16.50 tff(2924,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2925,plain,
% 25.23/16.50 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2926,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2925])).
% 25.23/16.50 tff(2927,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2926, 2924])).
% 25.23/16.50 tff(2928,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2929,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 25.23/16.50 tff(2930,plain,
% 25.23/16.50 (v114(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2929, 504, 2923])).
% 25.23/16.50 tff(2931,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB19)) | v113(constB19))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2932,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2933,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB19)) | v113(constB19)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2932, 2931])).
% 25.23/16.50 tff(2934,plain,
% 25.23/16.50 (v113(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2933, 518, 2930])).
% 25.23/16.50 tff(2935,assumption,(v26(constB19)), introduced(assumption)).
% 25.23/16.50 tff(2936,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2937,plain,
% 25.23/16.50 ($false),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2936, 120, 2935])).
% 25.23/16.50 tff(2938,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.50 tff(2939,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2940,plain,
% 25.23/16.50 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2941,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2940])).
% 25.23/16.50 tff(2942,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2941, 2939])).
% 25.23/16.50 tff(2943,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2944,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2943, 2942])).
% 25.23/16.50 tff(2945,plain,
% 25.23/16.50 (v112(constB19) | (~v113(constB19))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2944, 532, 2938])).
% 25.23/16.50 tff(2946,plain,
% 25.23/16.50 (v112(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2945, 2934])).
% 25.23/16.50 tff(2947,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2948,plain,
% 25.23/16.50 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2949,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2948])).
% 25.23/16.50 tff(2950,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2949, 2947])).
% 25.23/16.50 tff(2951,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2952,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 25.23/16.50 tff(2953,plain,
% 25.23/16.50 (v108(constB19)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2952, 544, 2946])).
% 25.23/16.50 tff(2954,plain,
% 25.23/16.50 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2955,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 25.23/16.50 tff(2956,plain,
% 25.23/16.50 (nextState(constB19, constB20)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 25.23/16.50 tff(2957,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2958,plain,
% 25.23/16.50 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2959,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2958])).
% 25.23/16.50 tff(2960,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2959, 2957])).
% 25.23/16.50 tff(2961,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2962,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 25.23/16.50 tff(2963,plain,
% 25.23/16.50 (v110(constB20) | (~v108(constB19))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2962, 564, 2956])).
% 25.23/16.50 tff(2964,plain,
% 25.23/16.50 (v110(constB20)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2963, 2953])).
% 25.23/16.50 tff(2965,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2966,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2967,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2966, 2965])).
% 25.23/16.50 tff(2968,plain,
% 25.23/16.50 (~v104(constB20)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2967, 582, 2956, 2822])).
% 25.23/16.50 tff(2969,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2970,plain,
% 25.23/16.50 (((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2971,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2970])).
% 25.23/16.50 tff(2972,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2971, 2969])).
% 25.23/16.50 tff(2973,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2974,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | v102(constB20)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 25.23/16.50 tff(2975,plain,
% 25.23/16.50 (v104(constB20) | v102(constB20)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2974, 596, 2956])).
% 25.23/16.50 tff(2976,plain,
% 25.23/16.50 (v102(constB20)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2975, 2968])).
% 25.23/16.50 tff(2977,plain,
% 25.23/16.50 (v1(constB20) <=> v1(constB20)),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2978,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 25.23/16.50 tff(2979,plain,
% 25.23/16.50 (v1(constB20)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 25.23/16.50 tff(2980,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2981,plain,
% 25.23/16.50 (((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))) <=> ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2982,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2981])).
% 25.23/16.50 tff(2983,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2982, 2980])).
% 25.23/16.50 tff(2984,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2985,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | (~v1(constB20)) | v101(constB20) | (~v102(constB20))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 25.23/16.50 tff(2986,plain,
% 25.23/16.50 (v101(constB20) | (~v102(constB20))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2985, 617, 2956, 2979])).
% 25.23/16.50 tff(2987,plain,
% 25.23/16.50 (v101(constB20)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2986, 2976])).
% 25.23/16.50 tff(2988,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2989,plain,
% 25.23/16.50 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2990,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[2989])).
% 25.23/16.50 tff(2991,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 25.23/16.50 inference(transitivity,[status(thm)],[2990, 2988])).
% 25.23/16.50 tff(2992,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2993,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2992, 2991])).
% 25.23/16.50 tff(2994,plain,
% 25.23/16.50 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2993, 635, 2956])).
% 25.23/16.50 tff(2995,plain,
% 25.23/16.50 (v100(constB20) | (~v110(constB20))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2994, 2987])).
% 25.23/16.50 tff(2996,plain,
% 25.23/16.50 (v100(constB20)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2995, 2964])).
% 25.23/16.50 tff(2997,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(2998,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(2999,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 25.23/16.50 tff(3000,plain,
% 25.23/16.50 (~v130(constB19, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[2999, 1683, 2912])).
% 25.23/16.50 tff(3001,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(3002,plain,
% 25.23/16.50 ((v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0))) <=> ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(3003,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)))),
% 25.23/16.50 inference(monotonicity,[status(thm)],[3002])).
% 25.23/16.50 tff(3004,plain,
% 25.23/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 25.23/16.50 inference(transitivity,[status(thm)],[3003, 3001])).
% 25.23/16.50 tff(3005,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(3006,plain,
% 25.23/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[3005, 3004])).
% 25.23/16.50 tff(3007,plain,
% 25.23/16.50 ((~v127(constB19, bitIndex0)) | v130(constB19, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[3006, 1153, 2938])).
% 25.23/16.50 tff(3008,plain,
% 25.23/16.50 (~v127(constB19, bitIndex0)),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[3007, 3000])).
% 25.23/16.50 tff(3009,plain,
% 25.23/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 25.23/16.50 inference(rewrite,[status(thm)],[])).
% 25.23/16.50 tff(3010,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 25.23/16.50 inference(quant_inst,[status(thm)],[])).
% 25.23/16.50 tff(3011,plain,
% 25.23/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 25.23/16.50 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 25.23/16.50 tff(3012,plain,
% 25.23/16.50 (v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 25.23/16.50 inference(unit_resolution,[status(thm)],[3011, 1171, 2956])).
% 25.23/16.50 tff(3013,plain,
% 25.23/16.50 (~v129(constB20, bitIndex0)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3012, 3008])).
% 25.23/16.51 tff(3014,plain,
% 25.23/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3015,plain,
% 25.23/16.51 (((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3016,plain,
% 25.23/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3015])).
% 25.23/16.51 tff(3017,plain,
% 25.23/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3016, 3014])).
% 25.23/16.51 tff(3018,plain,
% 25.23/16.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3019,plain,
% 25.23/16.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 25.23/16.51 tff(3020,plain,
% 25.23/16.51 ((~v90(constB20, bitIndex0)) | (~v100(constB20))),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3019, 1186, 3013])).
% 25.23/16.51 tff(3021,plain,
% 25.23/16.51 (~v90(constB20, bitIndex0)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3020, 2996])).
% 25.23/16.51 tff(3022,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3023,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3024,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 25.23/16.51 tff(3025,plain,
% 25.23/16.51 (~v130(constB19, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3024, 1642, 2912])).
% 25.23/16.51 tff(3026,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3027,plain,
% 25.23/16.51 ((v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1))) <=> ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3028,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3027])).
% 25.23/16.51 tff(3029,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3028, 3026])).
% 25.23/16.51 tff(3030,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3031,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 25.23/16.51 tff(3032,plain,
% 25.23/16.51 ((~v127(constB19, bitIndex1)) | v130(constB19, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3031, 751, 2938])).
% 25.23/16.51 tff(3033,plain,
% 25.23/16.51 (~v127(constB19, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3032, 3025])).
% 25.23/16.51 tff(3034,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3035,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3036,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 25.23/16.51 tff(3037,plain,
% 25.23/16.51 (v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3036, 769, 2956])).
% 25.23/16.51 tff(3038,plain,
% 25.23/16.51 (~v129(constB20, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3037, 3033])).
% 25.23/16.51 tff(3039,plain,
% 25.23/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3040,plain,
% 25.23/16.51 (((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3041,plain,
% 25.23/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3040])).
% 25.23/16.51 tff(3042,plain,
% 25.23/16.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3041, 3039])).
% 25.23/16.51 tff(3043,plain,
% 25.23/16.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3044,plain,
% 25.23/16.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 25.23/16.51 tff(3045,plain,
% 25.23/16.51 ((~v90(constB20, bitIndex1)) | (~v100(constB20))),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3044, 784, 3038])).
% 25.23/16.51 tff(3046,plain,
% 25.23/16.51 (~v90(constB20, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3045, 2996])).
% 25.23/16.51 tff(3047,assumption,(~v90(constB20, bitIndex0)), introduced(assumption)).
% 25.23/16.51 tff(3048,assumption,(~v90(constB20, bitIndex1)), introduced(assumption)).
% 25.23/16.51 tff(3049,assumption,(~v90(constB20, bitIndex2)), introduced(assumption)).
% 25.23/16.51 tff(3050,assumption,(~v100(constB20)), introduced(assumption)).
% 25.23/16.51 tff(3051,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3052,plain,
% 25.23/16.51 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2)) <=> ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3053,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2)))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3052])).
% 25.23/16.51 tff(3054,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3053, 3051])).
% 25.23/16.51 tff(3055,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3056,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB19, bitIndex2)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex2)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 25.23/16.51 tff(3057,plain,
% 25.23/16.51 ((~v90(constB19, bitIndex2)) | v100(constB20) | v90(constB20, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3056, 1626, 2956])).
% 25.23/16.51 tff(3058,plain,
% 25.23/16.51 (~v90(constB19, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3057, 3050, 3049])).
% 25.23/16.51 tff(3059,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3060,plain,
% 25.23/16.51 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1)) <=> ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3061,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1)))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3060])).
% 25.23/16.51 tff(3062,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3061, 3059])).
% 25.23/16.51 tff(3063,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3064,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex1)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 25.23/16.51 tff(3065,plain,
% 25.23/16.51 ((~v90(constB19, bitIndex1)) | v100(constB20) | v90(constB20, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3064, 1123, 2956])).
% 25.23/16.51 tff(3066,plain,
% 25.23/16.51 (~v90(constB19, bitIndex1)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3065, 3050, 3048])).
% 25.23/16.51 tff(3067,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3068,plain,
% 25.23/16.51 (((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0)) <=> ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3069,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0)))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3068])).
% 25.23/16.51 tff(3070,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3069, 3067])).
% 25.23/16.51 tff(3071,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3072,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v100(constB20) | v90(constB20, bitIndex0)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 25.23/16.51 tff(3073,plain,
% 25.23/16.51 ((~v90(constB19, bitIndex0)) | v100(constB20) | v90(constB20, bitIndex0)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3072, 870, 2956])).
% 25.23/16.51 tff(3074,plain,
% 25.23/16.51 (~v90(constB19, bitIndex0)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3073, 3050, 3047])).
% 25.23/16.51 tff(3075,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2) | v119(constB19))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2) | v119(constB19))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3076,plain,
% 25.23/16.51 ((v90(constB19, bitIndex0) | v119(constB19) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2)) <=> (v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2) | v119(constB19))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3077,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB19, bitIndex0) | v119(constB19) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2) | v119(constB19)))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3076])).
% 25.23/16.51 tff(3078,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB19, bitIndex0) | v119(constB19) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2) | v119(constB19))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3077, 3075])).
% 25.23/16.51 tff(3079,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB19, bitIndex0) | v119(constB19) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3080,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB19, bitIndex0) | v90(constB19, bitIndex1) | v90(constB19, bitIndex2) | v119(constB19)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 25.23/16.51 tff(3081,plain,
% 25.23/16.51 (v119(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3080, 437, 3074, 3066, 3058])).
% 25.23/16.51 tff(3082,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB19)) | v118(constB19))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB19)) | v118(constB19))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3083,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB19)) | v118(constB19))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3084,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB19)) | v118(constB19)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3083, 3082])).
% 25.23/16.51 tff(3085,plain,
% 25.23/16.51 (v118(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3084, 451, 3081])).
% 25.23/16.51 tff(3086,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB19) | (~v118(constB19)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB19) | (~v118(constB19)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3087,plain,
% 25.23/16.51 (((~v118(constB19)) | v117(constB19)) <=> (v117(constB19) | (~v118(constB19)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3088,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB19)) | v117(constB19))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB19) | (~v118(constB19))))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3087])).
% 25.23/16.51 tff(3089,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB19)) | v117(constB19))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB19) | (~v118(constB19)))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3088, 3086])).
% 25.23/16.51 tff(3090,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB19)) | v117(constB19))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3091,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB19) | (~v118(constB19))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3090, 3089])).
% 25.23/16.51 tff(3092,plain,
% 25.23/16.51 (v117(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3091, 462, 3085])).
% 25.23/16.51 tff(3093,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v117(constB19)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v117(constB19)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3094,plain,
% 25.23/16.51 (((~v117(constB19)) | v116(constB19)) <=> (v116(constB19) | (~v117(constB19)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3095,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v117(constB19))))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3094])).
% 25.23/16.51 tff(3096,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v117(constB19)))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3095, 3093])).
% 25.23/16.51 tff(3097,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB19)) | v116(constB19))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3098,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v117(constB19))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 25.23/16.51 tff(3099,plain,
% 25.23/16.51 (v116(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3098, 476, 3092])).
% 25.23/16.51 tff(3100,plain,
% 25.23/16.51 (~v110(constB20)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2995, 3050])).
% 25.23/16.51 tff(3101,plain,
% 25.23/16.51 (~v108(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2963, 3100])).
% 25.23/16.51 tff(3102,plain,
% 25.23/16.51 (~v112(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2952, 544, 3101])).
% 25.23/16.51 tff(3103,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v26(constB19)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3104,plain,
% 25.23/16.51 (((~v26(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v26(constB19)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3105,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v26(constB19))))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3104])).
% 25.23/16.51 tff(3106,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19)))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3105, 3103])).
% 25.23/16.51 tff(3107,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3108,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3107, 3106])).
% 25.23/16.51 tff(3109,plain,
% 25.23/16.51 (~v26(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3108, 1770, 3101])).
% 25.23/16.51 tff(3110,plain,
% 25.23/16.51 (~v113(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2944, 532, 3109, 3102])).
% 25.23/16.51 tff(3111,plain,
% 25.23/16.51 (~v114(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2933, 518, 3110])).
% 25.23/16.51 tff(3112,plain,
% 25.23/16.51 (~v115(constB19)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2929, 504, 3111])).
% 25.23/16.51 tff(3113,plain,
% 25.23/16.51 ($false),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[2922, 490, 3112, 3099])).
% 25.23/16.51 tff(3114,plain,(v100(constB20) | v90(constB20, bitIndex2) | v90(constB20, bitIndex1) | v90(constB20, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.51 tff(3115,plain,
% 25.23/16.51 (v100(constB20)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3114, 3049, 3048, 3047])).
% 25.23/16.51 tff(3116,plain,
% 25.23/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3117,plain,
% 25.23/16.51 ((v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3118,plain,
% 25.23/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))))),
% 25.23/16.51 inference(monotonicity,[status(thm)],[3117])).
% 25.23/16.51 tff(3119,plain,
% 25.23/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 25.23/16.51 inference(transitivity,[status(thm)],[3118, 3116])).
% 25.23/16.51 tff(3120,plain,
% 25.23/16.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3121,plain,
% 25.23/16.51 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 25.23/16.51 tff(3122,plain,
% 25.23/16.51 (~v129(constB20, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3121, 1590, 3115, 3049])).
% 25.23/16.51 tff(3123,plain,
% 25.23/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3124,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3125,plain,
% 25.23/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 25.23/16.51 tff(3126,plain,
% 25.23/16.51 ((~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3125, 1575, 2956])).
% 25.23/16.51 tff(3127,plain,
% 25.23/16.51 (~v127(constB19, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3126, 3122])).
% 25.23/16.51 tff(3128,plain,
% 25.23/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3129,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 25.23/16.51 inference(quant_inst,[status(thm)],[])).
% 25.23/16.51 tff(3130,plain,
% 25.23/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 25.23/16.51 inference(modus_ponens,[status(thm)],[3129, 3128])).
% 25.23/16.51 tff(3131,plain,
% 25.23/16.51 ((~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3130, 1560, 2938])).
% 25.23/16.51 tff(3132,plain,
% 25.23/16.51 (~v130(constB19, bitIndex2)),
% 25.23/16.51 inference(unit_resolution,[status(thm)],[3131, 3127])).
% 25.23/16.51 tff(3133,plain,
% 25.23/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3134,plain,
% 25.23/16.51 ((v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 25.23/16.51 inference(rewrite,[status(thm)],[])).
% 25.23/16.51 tff(3135,plain,
% 25.23/16.51 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))))),
% 25.23/16.52 inference(monotonicity,[status(thm)],[3134])).
% 25.23/16.52 tff(3136,plain,
% 25.23/16.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 25.23/16.52 inference(transitivity,[status(thm)],[3135, 3133])).
% 25.23/16.52 tff(3137,plain,
% 25.23/16.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3138,plain,
% 25.23/16.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 25.23/16.52 tff(3139,plain,
% 25.23/16.52 ((~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3138, 852, 3047])).
% 25.23/16.52 tff(3140,plain,
% 25.23/16.52 (~v129(constB20, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3139, 3115])).
% 25.23/16.52 tff(3141,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3142,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3143,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 25.23/16.52 tff(3144,plain,
% 25.23/16.52 ((~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3143, 837, 2956])).
% 25.23/16.52 tff(3145,plain,
% 25.23/16.52 (~v127(constB19, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3144, 3140])).
% 25.23/16.52 tff(3146,plain,
% 25.23/16.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3147,plain,
% 25.23/16.52 ((v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3148,plain,
% 25.23/16.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))))),
% 25.23/16.52 inference(monotonicity,[status(thm)],[3147])).
% 25.23/16.52 tff(3149,plain,
% 25.23/16.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 25.23/16.52 inference(transitivity,[status(thm)],[3148, 3146])).
% 25.23/16.52 tff(3150,plain,
% 25.23/16.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3151,plain,
% 25.23/16.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 25.23/16.52 tff(3152,plain,
% 25.23/16.52 ((~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3151, 1105, 3048])).
% 25.23/16.52 tff(3153,plain,
% 25.23/16.52 (~v129(constB20, bitIndex1)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3152, 3115])).
% 25.23/16.52 tff(3154,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3155,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3156,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 25.23/16.52 tff(3157,plain,
% 25.23/16.52 ((~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3156, 1090, 2956])).
% 25.23/16.52 tff(3158,plain,
% 25.23/16.52 (~v127(constB19, bitIndex1)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3157, 3153])).
% 25.23/16.52 tff(3159,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3160,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3161,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3160, 3159])).
% 25.23/16.52 tff(3162,plain,
% 25.23/16.52 ((~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3161, 822, 2938])).
% 25.23/16.52 tff(3163,plain,
% 25.23/16.52 (~v130(constB19, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3162, 3145])).
% 25.23/16.52 tff(3164,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3165,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3166,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 25.23/16.52 tff(3167,plain,
% 25.23/16.52 (~v121(constB19)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3166, 1413, 3163])).
% 25.23/16.52 tff(3168,assumption,(~v26(constB19)), introduced(assumption)).
% 25.23/16.52 tff(3169,assumption,(~v127(constB19, bitIndex0)), introduced(assumption)).
% 25.23/16.52 tff(3170,plain,
% 25.23/16.52 (v26(constB19) | (~v130(constB19, bitIndex0))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3161, 822, 3169])).
% 25.23/16.52 tff(3171,plain,
% 25.23/16.52 (~v130(constB19, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3170, 3168])).
% 25.23/16.52 tff(3172,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB19)) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3173,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB19)) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3174,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB19)) | v130(constB19, bitIndex0)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 25.23/16.52 tff(3175,plain,
% 25.23/16.52 (~v119(constB19)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3174, 808, 3171])).
% 25.23/16.52 tff(3176,assumption,(~v127(constB19, bitIndex1)), introduced(assumption)).
% 25.23/16.52 tff(3177,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3178,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3179,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3178, 3177])).
% 25.23/16.52 tff(3180,plain,
% 25.23/16.52 (v26(constB19) | (~v130(constB19, bitIndex1))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3179, 1075, 3176])).
% 25.23/16.52 tff(3181,plain,
% 25.23/16.52 (~v130(constB19, bitIndex1)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3180, 3168])).
% 25.23/16.52 tff(3182,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB19)) | v130(constB19, bitIndex1))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3183,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB19)) | v130(constB19, bitIndex1))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3184,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB19)) | v130(constB19, bitIndex1)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 25.23/16.52 tff(3185,plain,
% 25.23/16.52 (~v120(constB19)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3184, 1061, 3181])).
% 25.23/16.52 tff(3186,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB19)) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3187,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB19)) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3188,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB19)) | v130(constB19, bitIndex0)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 25.23/16.52 tff(3189,plain,
% 25.23/16.52 (~v123(constB19)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3188, 1934, 3171])).
% 25.23/16.52 tff(3190,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB19)) | v130(constB19, bitIndex1))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3191,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB19)) | v130(constB19, bitIndex1))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3192,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB19)) | v130(constB19, bitIndex1)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 25.23/16.52 tff(3193,plain,
% 25.23/16.52 (~v124(constB19)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3192, 2122, 3181])).
% 25.23/16.52 tff(3194,assumption,(~v121(constB19)), introduced(assumption)).
% 25.23/16.52 tff(3195,assumption,(~v122(constB19)), introduced(assumption)).
% 25.23/16.52 tff(3196,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3197,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3198,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 25.23/16.52 tff(3199,plain,
% 25.23/16.52 (v119(constB19) | v120(constB19) | v123(constB19) | v124(constB19) | v130(constB19, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3198, 2459, 3195, 3194])).
% 25.23/16.52 tff(3200,plain,
% 25.23/16.52 ($false),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3199, 3193, 3189, 3171, 3185, 3175])).
% 25.23/16.52 tff(3201,plain,(v26(constB19) | v122(constB19) | v121(constB19) | v127(constB19, bitIndex1) | v127(constB19, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.52 tff(3202,plain,
% 25.23/16.52 (v122(constB19)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3201, 3167, 2938, 3158, 3145])).
% 25.23/16.52 tff(3203,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3204,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3205,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 25.23/16.52 tff(3206,plain,
% 25.23/16.52 ($false),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3205, 1546, 3202, 3132])).
% 25.23/16.52 tff(3207,plain,(v90(constB20, bitIndex2) | v90(constB20, bitIndex1) | v90(constB20, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.52 tff(3208,plain,
% 25.23/16.52 (v90(constB20, bitIndex2)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3207, 3048, 3047])).
% 25.23/16.52 tff(3209,plain,
% 25.23/16.52 ((~v1(constB21)) <=> (~v1(constB21))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3210,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 25.23/16.52 tff(3211,plain,
% 25.23/16.52 (~v1(constB21)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3210, 3209])).
% 25.23/16.52 tff(3212,plain,
% 25.23/16.52 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3213,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 25.23/16.52 tff(3214,plain,
% 25.23/16.52 (nextState(constB20, constB21)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 25.23/16.52 tff(3215,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3216,plain,
% 25.23/16.52 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3217,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 25.23/16.52 inference(monotonicity,[status(thm)],[3216])).
% 25.23/16.52 tff(3218,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 25.23/16.52 inference(transitivity,[status(thm)],[3217, 3215])).
% 25.23/16.52 tff(3219,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3220,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 25.23/16.52 tff(3221,plain,
% 25.23/16.52 (~v101(constB21)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3220, 342, 3214, 3211])).
% 25.23/16.52 tff(3222,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3223,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3224,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 25.23/16.52 tff(3225,plain,
% 25.23/16.52 (v101(constB21) | (~v100(constB21))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3224, 359, 3214])).
% 25.23/16.52 tff(3226,plain,
% 25.23/16.52 (~v100(constB21)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3225, 3221])).
% 25.23/16.52 tff(3227,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3228,plain,
% 25.23/16.52 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3229,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))))),
% 25.23/16.52 inference(monotonicity,[status(thm)],[3228])).
% 25.23/16.52 tff(3230,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 25.23/16.52 inference(transitivity,[status(thm)],[3229, 3227])).
% 25.23/16.52 tff(3231,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3232,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 25.23/16.52 tff(3233,plain,
% 25.23/16.52 (v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3232, 395, 3214])).
% 25.23/16.52 tff(3234,plain,
% 25.23/16.52 (v90(constB20, bitIndex1) | (~v90(constB21, bitIndex1))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3233, 3226])).
% 25.23/16.52 tff(3235,plain,
% 25.23/16.52 (~v90(constB21, bitIndex1)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3234, 3048])).
% 25.23/16.52 tff(3236,assumption,(~v123(constB21)), introduced(assumption)).
% 25.23/16.52 tff(3237,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3238,plain,
% 25.23/16.52 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3239,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))))),
% 25.23/16.52 inference(monotonicity,[status(thm)],[3238])).
% 25.23/16.52 tff(3240,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 25.23/16.52 inference(transitivity,[status(thm)],[3239, 3237])).
% 25.23/16.52 tff(3241,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3242,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 25.23/16.52 tff(3243,plain,
% 25.23/16.52 (v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3242, 416, 3214])).
% 25.23/16.52 tff(3244,plain,
% 25.23/16.52 (v90(constB20, bitIndex0) | (~v90(constB21, bitIndex0))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3243, 3226])).
% 25.23/16.52 tff(3245,plain,
% 25.23/16.52 (~v90(constB21, bitIndex0)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3244, 3047])).
% 25.23/16.52 tff(3246,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3247,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3248,plain,
% 25.23/16.52 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 25.23/16.52 tff(3249,plain,
% 25.23/16.52 (v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2))),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3248, 1727, 3245, 3236])).
% 25.23/16.52 tff(3250,plain,
% 25.23/16.52 (~v90(constB21, bitIndex2)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3249, 3235])).
% 25.23/16.52 tff(3251,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3252,plain,
% 25.23/16.52 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3253,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)))),
% 25.23/16.52 inference(monotonicity,[status(thm)],[3252])).
% 25.23/16.52 tff(3254,plain,
% 25.23/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 25.23/16.52 inference(transitivity,[status(thm)],[3253, 3251])).
% 25.23/16.52 tff(3255,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))),
% 25.23/16.52 inference(quant_inst,[status(thm)],[])).
% 25.23/16.52 tff(3256,plain,
% 25.23/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)),
% 25.23/16.52 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 25.23/16.52 tff(3257,plain,
% 25.23/16.52 ((~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3256, 1626, 3214])).
% 25.23/16.52 tff(3258,plain,
% 25.23/16.52 ((~v90(constB20, bitIndex2)) | v90(constB21, bitIndex2)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3257, 3226])).
% 25.23/16.52 tff(3259,plain,
% 25.23/16.52 ($false),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3258, 3250, 3208])).
% 25.23/16.52 tff(3260,plain,(v90(constB20, bitIndex1) | v123(constB21) | v90(constB20, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.52 tff(3261,plain,
% 25.23/16.52 (v123(constB21)),
% 25.23/16.52 inference(unit_resolution,[status(thm)],[3260, 3046, 3021])).
% 25.23/16.52 tff(3262,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3263,plain,
% 25.23/16.52 (((~v123(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v123(constB21)))),
% 25.23/16.52 inference(rewrite,[status(thm)],[])).
% 25.23/16.52 tff(3264,plain,
% 25.23/16.52 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3263])).
% 25.23/16.53 tff(3265,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3264, 3262])).
% 25.23/16.53 tff(3266,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3267,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 25.23/16.53 tff(3268,plain,
% 25.23/16.53 (v115(constB21)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3267, 1784, 3261])).
% 25.23/16.53 tff(3269,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3270,plain,
% 25.23/16.53 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3271,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3270])).
% 25.23/16.53 tff(3272,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3271, 3269])).
% 25.23/16.53 tff(3273,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3274,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 25.23/16.53 tff(3275,plain,
% 25.23/16.53 (v114(constB21)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3274, 504, 3268])).
% 25.23/16.53 tff(3276,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3277,plain,
% 25.23/16.53 (((~v114(constB21)) | v113(constB21)) <=> (v113(constB21) | (~v114(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3278,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3277])).
% 25.23/16.53 tff(3279,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3278, 3276])).
% 25.23/16.53 tff(3280,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3281,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3280, 3279])).
% 25.23/16.53 tff(3282,plain,
% 25.23/16.53 (v113(constB21)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3281, 518, 3275])).
% 25.23/16.53 tff(3283,assumption,(v26(constB21)), introduced(assumption)).
% 25.23/16.53 tff(3284,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3285,plain,
% 25.23/16.53 ($false),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3284, 120, 3283])).
% 25.23/16.53 tff(3286,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.53 tff(3287,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3288,plain,
% 25.23/16.53 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3289,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3288])).
% 25.23/16.53 tff(3290,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3289, 3287])).
% 25.23/16.53 tff(3291,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3292,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 25.23/16.53 tff(3293,plain,
% 25.23/16.53 (v112(constB21) | (~v113(constB21))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3292, 532, 3286])).
% 25.23/16.53 tff(3294,plain,
% 25.23/16.53 (v112(constB21)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3293, 3282])).
% 25.23/16.53 tff(3295,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3296,plain,
% 25.23/16.53 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3297,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3296])).
% 25.23/16.53 tff(3298,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3297, 3295])).
% 25.23/16.53 tff(3299,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3300,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 25.23/16.53 tff(3301,plain,
% 25.23/16.53 (v108(constB21)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3300, 544, 3294])).
% 25.23/16.53 tff(3302,plain,
% 25.23/16.53 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3303,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 25.23/16.53 tff(3304,plain,
% 25.23/16.53 (nextState(constB21, constB22)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 25.23/16.53 tff(3305,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3306,plain,
% 25.23/16.53 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3307,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3306])).
% 25.23/16.53 tff(3308,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3307, 3305])).
% 25.23/16.53 tff(3309,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3310,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 25.23/16.53 tff(3311,plain,
% 25.23/16.53 (v110(constB22) | (~v108(constB21))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3310, 564, 3304])).
% 25.23/16.53 tff(3312,plain,
% 25.23/16.53 (v110(constB22)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3311, 3301])).
% 25.23/16.53 tff(3313,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3314,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3315,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3314, 3313])).
% 25.23/16.53 tff(3316,plain,
% 25.23/16.53 (~v104(constB22)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3315, 582, 3304, 3211])).
% 25.23/16.53 tff(3317,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3318,plain,
% 25.23/16.53 (((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3319,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3318])).
% 25.23/16.53 tff(3320,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3319, 3317])).
% 25.23/16.53 tff(3321,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3322,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | v102(constB22)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 25.23/16.53 tff(3323,plain,
% 25.23/16.53 (v104(constB22) | v102(constB22)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3322, 596, 3304])).
% 25.23/16.53 tff(3324,plain,
% 25.23/16.53 (v102(constB22)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3323, 3316])).
% 25.23/16.53 tff(3325,plain,
% 25.23/16.53 (v1(constB22) <=> v1(constB22)),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3326,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 25.23/16.53 tff(3327,plain,
% 25.23/16.53 (v1(constB22)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3326, 3325])).
% 25.23/16.53 tff(3328,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3329,plain,
% 25.23/16.53 (((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))) <=> ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3330,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3329])).
% 25.23/16.53 tff(3331,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3330, 3328])).
% 25.23/16.53 tff(3332,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3333,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | (~v1(constB22)) | v101(constB22) | (~v102(constB22))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 25.23/16.53 tff(3334,plain,
% 25.23/16.53 (v101(constB22) | (~v102(constB22))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3333, 617, 3304, 3327])).
% 25.23/16.53 tff(3335,plain,
% 25.23/16.53 (v101(constB22)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3334, 3324])).
% 25.23/16.53 tff(3336,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3337,plain,
% 25.23/16.53 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3338,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3337])).
% 25.23/16.53 tff(3339,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3338, 3336])).
% 25.23/16.53 tff(3340,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3341,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 25.23/16.53 tff(3342,plain,
% 25.23/16.53 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3341, 635, 3304])).
% 25.23/16.53 tff(3343,plain,
% 25.23/16.53 (v100(constB22) | (~v110(constB22))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3342, 3335])).
% 25.23/16.53 tff(3344,plain,
% 25.23/16.53 (v100(constB22)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3343, 3312])).
% 25.23/16.53 tff(3345,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3346,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3347,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 25.23/16.53 tff(3348,plain,
% 25.23/16.53 (v130(constB21, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3347, 1738, 3261])).
% 25.23/16.53 tff(3349,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3350,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3351,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 25.23/16.53 tff(3352,plain,
% 25.23/16.53 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3351, 1560, 3286])).
% 25.23/16.53 tff(3353,plain,
% 25.23/16.53 (v127(constB21, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3352, 3348])).
% 25.23/16.53 tff(3354,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3355,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3356,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 25.23/16.53 tff(3357,plain,
% 25.23/16.53 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3356, 1575, 3304])).
% 25.23/16.53 tff(3358,plain,
% 25.23/16.53 (v129(constB22, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3357, 3353])).
% 25.23/16.53 tff(3359,plain,
% 25.23/16.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3360,plain,
% 25.23/16.53 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3361,plain,
% 25.23/16.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3360])).
% 25.23/16.53 tff(3362,plain,
% 25.23/16.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3361, 3359])).
% 25.23/16.53 tff(3363,plain,
% 25.23/16.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3364,plain,
% 25.23/16.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 25.23/16.53 tff(3365,plain,
% 25.23/16.53 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3364, 1590, 3358])).
% 25.23/16.53 tff(3366,plain,
% 25.23/16.53 (v90(constB22, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3365, 3344])).
% 25.23/16.53 tff(3367,plain,
% 25.23/16.53 ((~v1(constB23)) <=> (~v1(constB23))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3368,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 25.23/16.53 tff(3369,plain,
% 25.23/16.53 (~v1(constB23)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 25.23/16.53 tff(3370,plain,
% 25.23/16.53 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3371,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 25.23/16.53 tff(3372,plain,
% 25.23/16.53 (nextState(constB22, constB23)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3371, 3370])).
% 25.23/16.53 tff(3373,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3374,plain,
% 25.23/16.53 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3375,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3374])).
% 25.23/16.53 tff(3376,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3375, 3373])).
% 25.23/16.53 tff(3377,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3378,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 25.23/16.53 tff(3379,plain,
% 25.23/16.53 (~v101(constB23)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3378, 342, 3372, 3369])).
% 25.23/16.53 tff(3380,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3381,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3382,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 25.23/16.53 tff(3383,plain,
% 25.23/16.53 (v101(constB23) | (~v100(constB23))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3382, 359, 3372])).
% 25.23/16.53 tff(3384,plain,
% 25.23/16.53 (~v100(constB23)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3383, 3379])).
% 25.23/16.53 tff(3385,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3386,plain,
% 25.23/16.53 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3387,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3386])).
% 25.23/16.53 tff(3388,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3387, 3385])).
% 25.23/16.53 tff(3389,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3390,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 25.23/16.53 tff(3391,plain,
% 25.23/16.53 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3390, 1626, 3372])).
% 25.23/16.53 tff(3392,plain,
% 25.23/16.53 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3391, 3384])).
% 25.23/16.53 tff(3393,plain,
% 25.23/16.53 (v90(constB23, bitIndex2)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3392, 3366])).
% 25.23/16.53 tff(3394,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3395,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3396,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3395, 3394])).
% 25.23/16.53 tff(3397,plain,
% 25.23/16.53 (~v130(constB21, bitIndex1)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3396, 1893, 3261])).
% 25.23/16.53 tff(3398,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3399,plain,
% 25.23/16.53 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3400,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 25.23/16.53 inference(monotonicity,[status(thm)],[3399])).
% 25.23/16.53 tff(3401,plain,
% 25.23/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 25.23/16.53 inference(transitivity,[status(thm)],[3400, 3398])).
% 25.23/16.53 tff(3402,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3403,plain,
% 25.23/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 25.23/16.53 tff(3404,plain,
% 25.23/16.53 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3403, 751, 3286])).
% 25.23/16.53 tff(3405,plain,
% 25.23/16.53 (~v127(constB21, bitIndex1)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3404, 3397])).
% 25.23/16.53 tff(3406,plain,
% 25.23/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 25.23/16.53 inference(rewrite,[status(thm)],[])).
% 25.23/16.53 tff(3407,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 25.23/16.53 inference(quant_inst,[status(thm)],[])).
% 25.23/16.53 tff(3408,plain,
% 25.23/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 25.23/16.53 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 25.23/16.53 tff(3409,plain,
% 25.23/16.53 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3408, 769, 3304])).
% 25.23/16.53 tff(3410,plain,
% 25.23/16.53 (~v129(constB22, bitIndex1)),
% 25.23/16.53 inference(unit_resolution,[status(thm)],[3409, 3405])).
% 25.23/16.53 tff(3411,plain,
% 25.23/16.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3412,plain,
% 25.23/16.54 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3413,plain,
% 25.23/16.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3412])).
% 25.23/16.54 tff(3414,plain,
% 25.23/16.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3413, 3411])).
% 25.23/16.54 tff(3415,plain,
% 25.23/16.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3416,plain,
% 25.23/16.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 25.23/16.54 tff(3417,plain,
% 25.23/16.54 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3416, 784, 3410])).
% 25.23/16.54 tff(3418,plain,
% 25.23/16.54 (~v90(constB22, bitIndex1)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3417, 3344])).
% 25.23/16.54 tff(3419,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3420,plain,
% 25.23/16.54 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3421,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3420])).
% 25.23/16.54 tff(3422,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3421, 3419])).
% 25.23/16.54 tff(3423,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3424,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 25.23/16.54 tff(3425,plain,
% 25.23/16.54 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3424, 395, 3372])).
% 25.23/16.54 tff(3426,plain,
% 25.23/16.54 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3425, 3384])).
% 25.23/16.54 tff(3427,plain,
% 25.23/16.54 (~v90(constB23, bitIndex1)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3426, 3418])).
% 25.23/16.54 tff(3428,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3429,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3430,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 25.23/16.54 tff(3431,plain,
% 25.23/16.54 (v130(constB21, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3430, 1934, 3261])).
% 25.23/16.54 tff(3432,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3433,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3434,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 25.23/16.54 tff(3435,plain,
% 25.23/16.54 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3434, 822, 3286])).
% 25.23/16.54 tff(3436,plain,
% 25.23/16.54 (v127(constB21, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3435, 3431])).
% 25.23/16.54 tff(3437,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3438,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3439,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 25.23/16.54 tff(3440,plain,
% 25.23/16.54 ((~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3439, 837, 3304])).
% 25.23/16.54 tff(3441,plain,
% 25.23/16.54 (v129(constB22, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3440, 3436])).
% 25.23/16.54 tff(3442,plain,
% 25.23/16.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3443,plain,
% 25.23/16.54 ((v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3444,plain,
% 25.23/16.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3443])).
% 25.23/16.54 tff(3445,plain,
% 25.23/16.54 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3444, 3442])).
% 25.23/16.54 tff(3446,plain,
% 25.23/16.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3447,plain,
% 25.23/16.54 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 25.23/16.54 tff(3448,plain,
% 25.23/16.54 (v90(constB22, bitIndex0) | (~v100(constB22))),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3447, 852, 3441])).
% 25.23/16.54 tff(3449,plain,
% 25.23/16.54 (v90(constB22, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3448, 3344])).
% 25.23/16.54 tff(3450,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3451,plain,
% 25.23/16.54 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3452,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3451])).
% 25.23/16.54 tff(3453,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3452, 3450])).
% 25.23/16.54 tff(3454,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3455,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 25.23/16.54 tff(3456,plain,
% 25.23/16.54 ((~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3455, 870, 3372])).
% 25.23/16.54 tff(3457,plain,
% 25.23/16.54 ((~v90(constB22, bitIndex0)) | v90(constB23, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3456, 3384])).
% 25.23/16.54 tff(3458,plain,
% 25.23/16.54 (v90(constB23, bitIndex0)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3457, 3449])).
% 25.23/16.54 tff(3459,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3460,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3461,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3460, 3459])).
% 25.23/16.54 tff(3462,plain,
% 25.23/16.54 (v124(constB23)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3461, 1975, 3458, 3427, 3393])).
% 25.23/16.54 tff(3463,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v124(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3464,plain,
% 25.23/16.54 (((~v124(constB23)) | v114(constB23)) <=> (v114(constB23) | (~v124(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3465,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v124(constB23))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3464])).
% 25.23/16.54 tff(3466,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v124(constB23)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3465, 3463])).
% 25.23/16.54 tff(3467,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3468,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v124(constB23))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 25.23/16.54 tff(3469,plain,
% 25.23/16.54 (v114(constB23)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3468, 1986, 3462])).
% 25.23/16.54 tff(3470,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3471,plain,
% 25.23/16.54 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3472,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3471])).
% 25.23/16.54 tff(3473,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3472, 3470])).
% 25.23/16.54 tff(3474,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3475,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 25.23/16.54 tff(3476,plain,
% 25.23/16.54 (v113(constB23)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3475, 518, 3469])).
% 25.23/16.54 tff(3477,assumption,(v26(constB23)), introduced(assumption)).
% 25.23/16.54 tff(3478,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3479,plain,
% 25.23/16.54 ($false),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3478, 120, 3477])).
% 25.23/16.54 tff(3480,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 25.23/16.54 tff(3481,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3482,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3483,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | (~v113(constB23)) | v112(constB23)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 25.23/16.54 tff(3484,plain,
% 25.23/16.54 ((~v113(constB23)) | v112(constB23)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3483, 532, 3480])).
% 25.23/16.54 tff(3485,plain,
% 25.23/16.54 (v112(constB23)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3484, 3476])).
% 25.23/16.54 tff(3486,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3487,plain,
% 25.23/16.54 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3488,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3487])).
% 25.23/16.54 tff(3489,plain,
% 25.23/16.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3488, 3486])).
% 25.23/16.54 tff(3490,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3491,plain,
% 25.23/16.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 25.23/16.54 tff(3492,plain,
% 25.23/16.54 (v108(constB23)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3491, 544, 3485])).
% 25.23/16.54 tff(3493,plain,
% 25.23/16.54 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3494,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 25.23/16.54 tff(3495,plain,
% 25.23/16.54 (nextState(constB23, constB24)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 25.23/16.54 tff(3496,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3497,plain,
% 25.23/16.54 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3498,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3497])).
% 25.23/16.54 tff(3499,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3498, 3496])).
% 25.23/16.54 tff(3500,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3501,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 25.23/16.54 tff(3502,plain,
% 25.23/16.54 (v110(constB24) | (~v108(constB23))),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3501, 564, 3495])).
% 25.23/16.54 tff(3503,plain,
% 25.23/16.54 (v110(constB24)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3502, 3492])).
% 25.23/16.54 tff(3504,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3505,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3506,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3505, 3504])).
% 25.23/16.54 tff(3507,plain,
% 25.23/16.54 (~v104(constB24)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3506, 582, 3495, 3369])).
% 25.23/16.54 tff(3508,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3509,plain,
% 25.23/16.54 (((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3510,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3509])).
% 25.23/16.54 tff(3511,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3510, 3508])).
% 25.23/16.54 tff(3512,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3513,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | v102(constB24)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3512, 3511])).
% 25.23/16.54 tff(3514,plain,
% 25.23/16.54 (v104(constB24) | v102(constB24)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3513, 596, 3495])).
% 25.23/16.54 tff(3515,plain,
% 25.23/16.54 (v102(constB24)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3514, 3507])).
% 25.23/16.54 tff(3516,plain,
% 25.23/16.54 (v1(constB24) <=> v1(constB24)),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3517,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 25.23/16.54 tff(3518,plain,
% 25.23/16.54 (v1(constB24)),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 25.23/16.54 tff(3519,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3520,plain,
% 25.23/16.54 (((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))) <=> ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3521,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3520])).
% 25.23/16.54 tff(3522,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3521, 3519])).
% 25.23/16.54 tff(3523,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3524,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | (~v1(constB24)) | v101(constB24) | (~v102(constB24))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 25.23/16.54 tff(3525,plain,
% 25.23/16.54 (v101(constB24) | (~v102(constB24))),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3524, 617, 3495, 3518])).
% 25.23/16.54 tff(3526,plain,
% 25.23/16.54 (v101(constB24)),
% 25.23/16.54 inference(unit_resolution,[status(thm)],[3525, 3515])).
% 25.23/16.54 tff(3527,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3528,plain,
% 25.23/16.54 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 25.23/16.54 inference(rewrite,[status(thm)],[])).
% 25.23/16.54 tff(3529,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 25.23/16.54 inference(monotonicity,[status(thm)],[3528])).
% 25.23/16.54 tff(3530,plain,
% 25.23/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 25.23/16.54 inference(transitivity,[status(thm)],[3529, 3527])).
% 25.23/16.54 tff(3531,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 25.23/16.54 inference(quant_inst,[status(thm)],[])).
% 25.23/16.54 tff(3532,plain,
% 25.23/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 25.23/16.54 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 25.23/16.55 tff(3533,plain,
% 25.23/16.55 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3532, 635, 3495])).
% 25.23/16.55 tff(3534,plain,
% 25.23/16.55 (v100(constB24) | (~v110(constB24))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3533, 3526])).
% 25.23/16.55 tff(3535,plain,
% 25.23/16.55 (v100(constB24)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3534, 3503])).
% 25.23/16.55 tff(3536,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3537,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3538,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 25.23/16.55 tff(3539,plain,
% 25.23/16.55 (v130(constB23, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3538, 2066, 3462])).
% 25.23/16.55 tff(3540,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3541,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3542,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 25.23/16.55 tff(3543,plain,
% 25.23/16.55 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3542, 1560, 3480])).
% 25.23/16.55 tff(3544,plain,
% 25.23/16.55 (v127(constB23, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3543, 3539])).
% 25.23/16.55 tff(3545,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3546,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3547,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3546, 3545])).
% 25.23/16.55 tff(3548,plain,
% 25.23/16.55 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3547, 1575, 3495])).
% 25.23/16.55 tff(3549,plain,
% 25.23/16.55 (v129(constB24, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3548, 3544])).
% 25.23/16.55 tff(3550,plain,
% 25.23/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3551,plain,
% 25.23/16.55 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3552,plain,
% 25.23/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3551])).
% 25.23/16.55 tff(3553,plain,
% 25.23/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3552, 3550])).
% 25.23/16.55 tff(3554,plain,
% 25.23/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3555,plain,
% 25.23/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 25.23/16.55 tff(3556,plain,
% 25.23/16.55 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3555, 1590, 3549])).
% 25.23/16.55 tff(3557,plain,
% 25.23/16.55 (v90(constB24, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3556, 3535])).
% 25.23/16.55 tff(3558,plain,
% 25.23/16.55 ((~v1(constB25)) <=> (~v1(constB25))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3559,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 25.23/16.55 tff(3560,plain,
% 25.23/16.55 (~v1(constB25)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3559, 3558])).
% 25.23/16.55 tff(3561,plain,
% 25.23/16.55 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3562,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 25.23/16.55 tff(3563,plain,
% 25.23/16.55 (nextState(constB24, constB25)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3562, 3561])).
% 25.23/16.55 tff(3564,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3565,plain,
% 25.23/16.55 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3566,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3565])).
% 25.23/16.55 tff(3567,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3566, 3564])).
% 25.23/16.55 tff(3568,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3569,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3568, 3567])).
% 25.23/16.55 tff(3570,plain,
% 25.23/16.55 (~v101(constB25)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3569, 342, 3563, 3560])).
% 25.23/16.55 tff(3571,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3572,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3573,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3572, 3571])).
% 25.23/16.55 tff(3574,plain,
% 25.23/16.55 (v101(constB25) | (~v100(constB25))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3573, 359, 3563])).
% 25.23/16.55 tff(3575,plain,
% 25.23/16.55 (~v100(constB25)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3574, 3570])).
% 25.23/16.55 tff(3576,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3577,plain,
% 25.23/16.55 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3578,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3577])).
% 25.23/16.55 tff(3579,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3578, 3576])).
% 25.23/16.55 tff(3580,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3581,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 25.23/16.55 tff(3582,plain,
% 25.23/16.55 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3581, 1626, 3563])).
% 25.23/16.55 tff(3583,plain,
% 25.23/16.55 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3582, 3575])).
% 25.23/16.55 tff(3584,plain,
% 25.23/16.55 (v90(constB25, bitIndex2)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3583, 3557])).
% 25.23/16.55 tff(3585,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3586,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3587,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 25.23/16.55 tff(3588,plain,
% 25.23/16.55 (v130(constB23, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3587, 2122, 3462])).
% 25.23/16.55 tff(3589,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3590,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3591,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 25.23/16.55 tff(3592,plain,
% 25.23/16.55 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3591, 1075, 3480])).
% 25.23/16.55 tff(3593,plain,
% 25.23/16.55 (v127(constB23, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3592, 3588])).
% 25.23/16.55 tff(3594,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3595,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3596,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 25.23/16.55 tff(3597,plain,
% 25.23/16.55 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3596, 1090, 3495])).
% 25.23/16.55 tff(3598,plain,
% 25.23/16.55 (v129(constB24, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3597, 3593])).
% 25.23/16.55 tff(3599,plain,
% 25.23/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3600,plain,
% 25.23/16.55 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3601,plain,
% 25.23/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3600])).
% 25.23/16.55 tff(3602,plain,
% 25.23/16.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3601, 3599])).
% 25.23/16.55 tff(3603,plain,
% 25.23/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3604,plain,
% 25.23/16.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 25.23/16.55 tff(3605,plain,
% 25.23/16.55 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3604, 1105, 3598])).
% 25.23/16.55 tff(3606,plain,
% 25.23/16.55 (v90(constB24, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3605, 3535])).
% 25.23/16.55 tff(3607,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3608,plain,
% 25.23/16.55 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3609,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3608])).
% 25.23/16.55 tff(3610,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3609, 3607])).
% 25.23/16.55 tff(3611,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3612,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3611, 3610])).
% 25.23/16.55 tff(3613,plain,
% 25.23/16.55 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3612, 1123, 3563])).
% 25.23/16.55 tff(3614,plain,
% 25.23/16.55 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3613, 3575])).
% 25.23/16.55 tff(3615,plain,
% 25.23/16.55 (v90(constB25, bitIndex1)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3614, 3606])).
% 25.23/16.55 tff(3616,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3617,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3618,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 25.23/16.55 tff(3619,plain,
% 25.23/16.55 (~v130(constB23, bitIndex0)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3618, 2160, 3462])).
% 25.23/16.55 tff(3620,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3621,plain,
% 25.23/16.55 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3622,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3621])).
% 25.23/16.55 tff(3623,plain,
% 25.23/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3622, 3620])).
% 25.23/16.55 tff(3624,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3625,plain,
% 25.23/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 25.23/16.55 tff(3626,plain,
% 25.23/16.55 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3625, 1153, 3480])).
% 25.23/16.55 tff(3627,plain,
% 25.23/16.55 (~v127(constB23, bitIndex0)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3626, 3619])).
% 25.23/16.55 tff(3628,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3629,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3630,plain,
% 25.23/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3629, 3628])).
% 25.23/16.55 tff(3631,plain,
% 25.23/16.55 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3630, 1171, 3495])).
% 25.23/16.55 tff(3632,plain,
% 25.23/16.55 (~v129(constB24, bitIndex0)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3631, 3627])).
% 25.23/16.55 tff(3633,plain,
% 25.23/16.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3634,plain,
% 25.23/16.55 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3635,plain,
% 25.23/16.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3634])).
% 25.23/16.55 tff(3636,plain,
% 25.23/16.55 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 25.23/16.55 inference(transitivity,[status(thm)],[3635, 3633])).
% 25.23/16.55 tff(3637,plain,
% 25.23/16.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 25.23/16.55 inference(quant_inst,[status(thm)],[])).
% 25.23/16.55 tff(3638,plain,
% 25.23/16.55 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 25.23/16.55 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 25.23/16.55 tff(3639,plain,
% 25.23/16.55 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3638, 1186, 3632])).
% 25.23/16.55 tff(3640,plain,
% 25.23/16.55 (~v90(constB24, bitIndex0)),
% 25.23/16.55 inference(unit_resolution,[status(thm)],[3639, 3535])).
% 25.23/16.55 tff(3641,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3642,plain,
% 25.23/16.55 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 25.23/16.55 inference(rewrite,[status(thm)],[])).
% 25.23/16.55 tff(3643,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 25.23/16.55 inference(monotonicity,[status(thm)],[3642])).
% 25.23/16.55 tff(3644,plain,
% 25.23/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 25.29/16.55 inference(transitivity,[status(thm)],[3643, 3641])).
% 25.29/16.55 tff(3645,plain,
% 25.29/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 25.29/16.55 inference(quant_inst,[status(thm)],[])).
% 25.29/16.55 tff(3646,plain,
% 25.29/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 25.29/16.55 inference(modus_ponens,[status(thm)],[3645, 3644])).
% 25.29/16.55 tff(3647,plain,
% 25.29/16.55 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 25.29/16.55 inference(unit_resolution,[status(thm)],[3646, 416, 3563])).
% 25.29/16.55 tff(3648,plain,
% 25.29/16.55 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 25.29/16.55 inference(unit_resolution,[status(thm)],[3647, 3575])).
% 25.29/16.55 tff(3649,plain,
% 25.29/16.55 (~v90(constB25, bitIndex0)),
% 25.29/16.55 inference(unit_resolution,[status(thm)],[3648, 3640])).
% 25.29/16.55 tff(3650,plain,
% 25.29/16.55 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3651,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3652,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3651, 3650])).
% 25.29/16.56 tff(3653,plain,
% 25.29/16.56 (v125(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3652, 2204, 3649, 3615, 3584])).
% 25.29/16.56 tff(3654,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3655,plain,
% 25.29/16.56 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3656,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3655])).
% 25.29/16.56 tff(3657,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3656, 3654])).
% 25.29/16.56 tff(3658,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3659,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3658, 3657])).
% 25.29/16.56 tff(3660,plain,
% 25.29/16.56 (v113(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3659, 2215, 3653])).
% 25.29/16.56 tff(3661,assumption,(v26(constB25)), introduced(assumption)).
% 25.29/16.56 tff(3662,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3663,plain,
% 25.29/16.56 ($false),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3662, 120, 3661])).
% 25.29/16.56 tff(3664,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.56 tff(3665,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3666,plain,
% 25.29/16.56 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3667,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3666])).
% 25.29/16.56 tff(3668,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3667, 3665])).
% 25.29/16.56 tff(3669,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3670,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 25.29/16.56 tff(3671,plain,
% 25.29/16.56 (v112(constB25) | (~v113(constB25))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3670, 532, 3664])).
% 25.29/16.56 tff(3672,plain,
% 25.29/16.56 (v112(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3671, 3660])).
% 25.29/16.56 tff(3673,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3674,plain,
% 25.29/16.56 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3675,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3674])).
% 25.29/16.56 tff(3676,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3675, 3673])).
% 25.29/16.56 tff(3677,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3678,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 25.29/16.56 tff(3679,plain,
% 25.29/16.56 (v108(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3678, 544, 3672])).
% 25.29/16.56 tff(3680,plain,
% 25.29/16.56 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3681,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 25.29/16.56 tff(3682,plain,
% 25.29/16.56 (nextState(constB25, constB26)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3681, 3680])).
% 25.29/16.56 tff(3683,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3684,plain,
% 25.29/16.56 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3685,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3684])).
% 25.29/16.56 tff(3686,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3685, 3683])).
% 25.29/16.56 tff(3687,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3688,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 25.29/16.56 tff(3689,plain,
% 25.29/16.56 (v110(constB26) | (~v108(constB25))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3688, 564, 3682])).
% 25.29/16.56 tff(3690,plain,
% 25.29/16.56 (v110(constB26)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3689, 3679])).
% 25.29/16.56 tff(3691,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3692,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3693,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 25.29/16.56 tff(3694,plain,
% 25.29/16.56 (~v104(constB26)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3693, 582, 3682, 3560])).
% 25.29/16.56 tff(3695,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3696,plain,
% 25.29/16.56 (((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3697,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3696])).
% 25.29/16.56 tff(3698,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3697, 3695])).
% 25.29/16.56 tff(3699,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3700,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | v102(constB26)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 25.29/16.56 tff(3701,plain,
% 25.29/16.56 (v104(constB26) | v102(constB26)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3700, 596, 3682])).
% 25.29/16.56 tff(3702,plain,
% 25.29/16.56 (v102(constB26)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3701, 3694])).
% 25.29/16.56 tff(3703,plain,
% 25.29/16.56 (v1(constB26) <=> v1(constB26)),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3704,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 25.29/16.56 tff(3705,plain,
% 25.29/16.56 (v1(constB26)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 25.29/16.56 tff(3706,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3707,plain,
% 25.29/16.56 (((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))) <=> ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3708,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3707])).
% 25.29/16.56 tff(3709,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3708, 3706])).
% 25.29/16.56 tff(3710,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3711,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | (~v1(constB26)) | v101(constB26) | (~v102(constB26))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 25.29/16.56 tff(3712,plain,
% 25.29/16.56 (v101(constB26) | (~v102(constB26))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3711, 617, 3682, 3705])).
% 25.29/16.56 tff(3713,plain,
% 25.29/16.56 (v101(constB26)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3712, 3702])).
% 25.29/16.56 tff(3714,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3715,plain,
% 25.29/16.56 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3716,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3715])).
% 25.29/16.56 tff(3717,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3716, 3714])).
% 25.29/16.56 tff(3718,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3719,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3718, 3717])).
% 25.29/16.56 tff(3720,plain,
% 25.29/16.56 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3719, 635, 3682])).
% 25.29/16.56 tff(3721,plain,
% 25.29/16.56 (v100(constB26) | (~v110(constB26))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3720, 3713])).
% 25.29/16.56 tff(3722,plain,
% 25.29/16.56 (v100(constB26)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3721, 3690])).
% 25.29/16.56 tff(3723,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3724,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3725,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 25.29/16.56 tff(3726,plain,
% 25.29/16.56 (~v119(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3725, 2309, 3615])).
% 25.29/16.56 tff(3727,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3728,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3729,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB25)) | (~v90(constB25, bitIndex1))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 25.29/16.56 tff(3730,plain,
% 25.29/16.56 (~v124(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3729, 2342, 3615])).
% 25.29/16.56 tff(3731,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3732,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3733,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB25)) | (~v90(constB25, bitIndex1))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 25.29/16.56 tff(3734,plain,
% 25.29/16.56 (~v123(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3733, 2331, 3615])).
% 25.29/16.56 tff(3735,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v90(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v90(constB25, bitIndex2)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3736,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v90(constB25, bitIndex2)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3737,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v90(constB25, bitIndex2))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 25.29/16.56 tff(3738,plain,
% 25.29/16.56 (~v121(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3737, 2287, 3584])).
% 25.29/16.56 tff(3739,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB25)) | (~v90(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB25)) | (~v90(constB25, bitIndex2)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3740,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB25)) | (~v90(constB25, bitIndex2)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3741,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB25)) | (~v90(constB25, bitIndex2))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3740, 3739])).
% 25.29/16.56 tff(3742,plain,
% 25.29/16.56 (~v122(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3741, 2298, 3584])).
% 25.29/16.56 tff(3743,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3744,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB25)) | (~v90(constB25, bitIndex1)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3745,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB25)) | (~v90(constB25, bitIndex1))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 25.29/16.56 tff(3746,plain,
% 25.29/16.56 (~v120(constB25)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3745, 2320, 3615])).
% 25.29/16.56 tff(3747,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3748,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3749,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 25.29/16.56 tff(3750,plain,
% 25.29/16.56 (~v130(constB25, bitIndex2)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3749, 2356, 3746, 3742, 3738, 3734, 3730, 3726])).
% 25.29/16.56 tff(3751,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3752,plain,
% 25.29/16.56 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3753,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3752])).
% 25.29/16.56 tff(3754,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3753, 3751])).
% 25.29/16.56 tff(3755,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3756,plain,
% 25.29/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3755, 3754])).
% 25.29/16.56 tff(3757,plain,
% 25.29/16.56 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3756, 665, 3664])).
% 25.29/16.56 tff(3758,plain,
% 25.29/16.56 (~v127(constB25, bitIndex2)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3757, 3750])).
% 25.29/16.56 tff(3759,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3760,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3761,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 25.29/16.56 tff(3762,plain,
% 25.29/16.56 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3761, 683, 3682])).
% 25.29/16.56 tff(3763,plain,
% 25.29/16.56 (~v129(constB26, bitIndex2)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3762, 3758])).
% 25.29/16.56 tff(3764,plain,
% 25.29/16.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3765,plain,
% 25.29/16.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3766,plain,
% 25.29/16.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 25.29/16.56 tff(3767,plain,
% 25.29/16.56 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3766, 698, 3763])).
% 25.29/16.56 tff(3768,plain,
% 25.29/16.56 (~v90(constB26, bitIndex2)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3767, 3722])).
% 25.29/16.56 tff(3769,plain,
% 25.29/16.56 ((~v1(constB27)) <=> (~v1(constB27))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3770,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 25.29/16.56 tff(3771,plain,
% 25.29/16.56 (~v1(constB27)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 25.29/16.56 tff(3772,plain,
% 25.29/16.56 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3773,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 25.29/16.56 tff(3774,plain,
% 25.29/16.56 (nextState(constB26, constB27)),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 25.29/16.56 tff(3775,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3776,plain,
% 25.29/16.56 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3777,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3776])).
% 25.29/16.56 tff(3778,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3777, 3775])).
% 25.29/16.56 tff(3779,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3780,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3779, 3778])).
% 25.29/16.56 tff(3781,plain,
% 25.29/16.56 (~v101(constB27)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3780, 342, 3774, 3771])).
% 25.29/16.56 tff(3782,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3783,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3784,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3783, 3782])).
% 25.29/16.56 tff(3785,plain,
% 25.29/16.56 (v101(constB27) | (~v100(constB27))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3784, 359, 3774])).
% 25.29/16.56 tff(3786,plain,
% 25.29/16.56 (~v100(constB27)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3785, 3781])).
% 25.29/16.56 tff(3787,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3788,plain,
% 25.29/16.56 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 25.29/16.56 inference(rewrite,[status(thm)],[])).
% 25.29/16.56 tff(3789,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 25.29/16.56 inference(monotonicity,[status(thm)],[3788])).
% 25.29/16.56 tff(3790,plain,
% 25.29/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 25.29/16.56 inference(transitivity,[status(thm)],[3789, 3787])).
% 25.29/16.56 tff(3791,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 25.29/16.56 inference(quant_inst,[status(thm)],[])).
% 25.29/16.56 tff(3792,plain,
% 25.29/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 25.29/16.56 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 25.29/16.56 tff(3793,plain,
% 25.29/16.56 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3792, 374, 3774])).
% 25.29/16.56 tff(3794,plain,
% 25.29/16.56 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3793, 3786])).
% 25.29/16.56 tff(3795,plain,
% 25.29/16.56 (~v90(constB27, bitIndex2)),
% 25.29/16.56 inference(unit_resolution,[status(thm)],[3794, 3768])).
% 25.29/16.56 tff(3796,plain,
% 25.29/16.56 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3797,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3798,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3797, 3796])).
% 25.29/16.57 tff(3799,plain,
% 25.29/16.57 (~v130(constB25, bitIndex1)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3798, 2415, 3746, 3742, 3738, 3734, 3730, 3726])).
% 25.29/16.57 tff(3800,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3801,plain,
% 25.29/16.57 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3802,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3801])).
% 25.29/16.57 tff(3803,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3802, 3800])).
% 25.29/16.57 tff(3804,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3805,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3804, 3803])).
% 25.29/16.57 tff(3806,plain,
% 25.29/16.57 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3805, 751, 3664])).
% 25.29/16.57 tff(3807,plain,
% 25.29/16.57 (~v127(constB25, bitIndex1)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3806, 3799])).
% 25.29/16.57 tff(3808,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3809,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3810,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 25.29/16.57 tff(3811,plain,
% 25.29/16.57 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3810, 769, 3682])).
% 25.29/16.57 tff(3812,plain,
% 25.29/16.57 (~v129(constB26, bitIndex1)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3811, 3807])).
% 25.29/16.57 tff(3813,plain,
% 25.29/16.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3814,plain,
% 25.29/16.57 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3815,plain,
% 25.29/16.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3814])).
% 25.29/16.57 tff(3816,plain,
% 25.29/16.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3815, 3813])).
% 25.29/16.57 tff(3817,plain,
% 25.29/16.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3818,plain,
% 25.29/16.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 25.29/16.57 tff(3819,plain,
% 25.29/16.57 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3818, 784, 3812])).
% 25.29/16.57 tff(3820,plain,
% 25.29/16.57 (~v90(constB26, bitIndex1)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3819, 3722])).
% 25.29/16.57 tff(3821,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3822,plain,
% 25.29/16.57 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3823,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3822])).
% 25.29/16.57 tff(3824,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3823, 3821])).
% 25.29/16.57 tff(3825,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3826,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 25.29/16.57 tff(3827,plain,
% 25.29/16.57 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3826, 395, 3774])).
% 25.29/16.57 tff(3828,plain,
% 25.29/16.57 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3827, 3786])).
% 25.29/16.57 tff(3829,plain,
% 25.29/16.57 (~v90(constB27, bitIndex1)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3828, 3820])).
% 25.29/16.57 tff(3830,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3831,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3832,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 25.29/16.57 tff(3833,plain,
% 25.29/16.57 (v130(constB25, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3832, 2459, 3746, 3742, 3738, 3734, 3730, 3726])).
% 25.29/16.57 tff(3834,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3835,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3836,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 25.29/16.57 tff(3837,plain,
% 25.29/16.57 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3836, 822, 3664])).
% 25.29/16.57 tff(3838,plain,
% 25.29/16.57 (v127(constB25, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3837, 3833])).
% 25.29/16.57 tff(3839,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3840,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3841,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3840, 3839])).
% 25.29/16.57 tff(3842,plain,
% 25.29/16.57 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3841, 837, 3682])).
% 25.29/16.57 tff(3843,plain,
% 25.29/16.57 (v129(constB26, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3842, 3838])).
% 25.29/16.57 tff(3844,plain,
% 25.29/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3845,plain,
% 25.29/16.57 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3846,plain,
% 25.29/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3845])).
% 25.29/16.57 tff(3847,plain,
% 25.29/16.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3846, 3844])).
% 25.29/16.57 tff(3848,plain,
% 25.29/16.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3849,plain,
% 25.29/16.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 25.29/16.57 tff(3850,plain,
% 25.29/16.57 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3849, 852, 3843])).
% 25.29/16.57 tff(3851,plain,
% 25.29/16.57 (v90(constB26, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3850, 3722])).
% 25.29/16.57 tff(3852,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3853,plain,
% 25.29/16.57 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3854,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3853])).
% 25.29/16.57 tff(3855,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3854, 3852])).
% 25.29/16.57 tff(3856,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3857,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 25.29/16.57 tff(3858,plain,
% 25.29/16.57 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3857, 870, 3774])).
% 25.29/16.57 tff(3859,plain,
% 25.29/16.57 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3858, 3786])).
% 25.29/16.57 tff(3860,plain,
% 25.29/16.57 (v90(constB27, bitIndex0)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3859, 3851])).
% 25.29/16.57 tff(3861,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3862,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3863,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3862, 3861])).
% 25.29/16.57 tff(3864,plain,
% 25.29/16.57 (v120(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3863, 889, 3860, 3829, 3795])).
% 25.29/16.57 tff(3865,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3866,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3867,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3866, 3865])).
% 25.29/16.57 tff(3868,plain,
% 25.29/16.57 (v118(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3867, 900, 3864])).
% 25.29/16.57 tff(3869,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB27)) | v117(constB27))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3870,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3871,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB27)) | v117(constB27)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 25.29/16.57 tff(3872,plain,
% 25.29/16.57 (v117(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3871, 462, 3868])).
% 25.29/16.57 tff(3873,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3874,plain,
% 25.29/16.57 (((~v117(constB27)) | v116(constB27)) <=> (v116(constB27) | (~v117(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3875,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3874])).
% 25.29/16.57 tff(3876,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3875, 3873])).
% 25.29/16.57 tff(3877,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3878,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3877, 3876])).
% 25.29/16.57 tff(3879,plain,
% 25.29/16.57 (v116(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3878, 476, 3872])).
% 25.29/16.57 tff(3880,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3881,plain,
% 25.29/16.57 (((~v116(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v116(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3882,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3881])).
% 25.29/16.57 tff(3883,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3882, 3880])).
% 25.29/16.57 tff(3884,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3885,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 25.29/16.57 tff(3886,plain,
% 25.29/16.57 (v115(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3885, 490, 3879])).
% 25.29/16.57 tff(3887,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB27)) | v114(constB27))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3888,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3889,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB27)) | v114(constB27)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 25.29/16.57 tff(3890,plain,
% 25.29/16.57 (v114(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3889, 504, 3886])).
% 25.29/16.57 tff(3891,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3892,plain,
% 25.29/16.57 (((~v114(constB27)) | v113(constB27)) <=> (v113(constB27) | (~v114(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3893,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3892])).
% 25.29/16.57 tff(3894,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3893, 3891])).
% 25.29/16.57 tff(3895,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3896,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 25.29/16.57 tff(3897,plain,
% 25.29/16.57 (v113(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3896, 518, 3890])).
% 25.29/16.57 tff(3898,assumption,(v26(constB27)), introduced(assumption)).
% 25.29/16.57 tff(3899,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3900,plain,
% 25.29/16.57 ($false),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3899, 120, 3898])).
% 25.29/16.57 tff(3901,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.57 tff(3902,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3903,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3904,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 25.29/16.57 tff(3905,plain,
% 25.29/16.57 ((~v113(constB27)) | v112(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3904, 532, 3901])).
% 25.29/16.57 tff(3906,plain,
% 25.29/16.57 (v112(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3905, 3897])).
% 25.29/16.57 tff(3907,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3908,plain,
% 25.29/16.57 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3909,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3908])).
% 25.29/16.57 tff(3910,plain,
% 25.29/16.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3909, 3907])).
% 25.29/16.57 tff(3911,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3912,plain,
% 25.29/16.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 25.29/16.57 tff(3913,plain,
% 25.29/16.57 (v108(constB27)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3912, 544, 3906])).
% 25.29/16.57 tff(3914,plain,
% 25.29/16.57 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3915,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 25.29/16.57 tff(3916,plain,
% 25.29/16.57 (nextState(constB27, constB28)),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 25.29/16.57 tff(3917,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3918,plain,
% 25.29/16.57 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3919,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3918])).
% 25.29/16.57 tff(3920,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3919, 3917])).
% 25.29/16.57 tff(3921,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3922,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 25.29/16.57 tff(3923,plain,
% 25.29/16.57 (v110(constB28) | (~v108(constB27))),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3922, 564, 3916])).
% 25.29/16.57 tff(3924,plain,
% 25.29/16.57 (v110(constB28)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3923, 3913])).
% 25.29/16.57 tff(3925,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3926,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 25.29/16.57 inference(quant_inst,[status(thm)],[])).
% 25.29/16.57 tff(3927,plain,
% 25.29/16.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 25.29/16.57 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 25.29/16.57 tff(3928,plain,
% 25.29/16.57 (~v104(constB28)),
% 25.29/16.57 inference(unit_resolution,[status(thm)],[3927, 582, 3916, 3771])).
% 25.29/16.57 tff(3929,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3930,plain,
% 25.29/16.57 (((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 25.29/16.57 inference(rewrite,[status(thm)],[])).
% 25.29/16.57 tff(3931,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)))),
% 25.29/16.57 inference(monotonicity,[status(thm)],[3930])).
% 25.29/16.57 tff(3932,plain,
% 25.29/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28))),
% 25.29/16.57 inference(transitivity,[status(thm)],[3931, 3929])).
% 25.29/16.58 tff(3933,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3934,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | v102(constB28)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3933, 3932])).
% 25.29/16.58 tff(3935,plain,
% 25.29/16.58 (v104(constB28) | v102(constB28)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3934, 596, 3916])).
% 25.29/16.58 tff(3936,plain,
% 25.29/16.58 (v102(constB28)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3935, 3928])).
% 25.29/16.58 tff(3937,plain,
% 25.29/16.58 (v1(constB28) <=> v1(constB28)),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3938,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 25.29/16.58 tff(3939,plain,
% 25.29/16.58 (v1(constB28)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3938, 3937])).
% 25.29/16.58 tff(3940,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3941,plain,
% 25.29/16.58 (((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))) <=> ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3942,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[3941])).
% 25.29/16.58 tff(3943,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28)))),
% 25.29/16.58 inference(transitivity,[status(thm)],[3942, 3940])).
% 25.29/16.58 tff(3944,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3945,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | (~v1(constB28)) | v101(constB28) | (~v102(constB28))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 25.29/16.58 tff(3946,plain,
% 25.29/16.58 (v101(constB28) | (~v102(constB28))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3945, 617, 3916, 3939])).
% 25.29/16.58 tff(3947,plain,
% 25.29/16.58 (v101(constB28)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3946, 3936])).
% 25.29/16.58 tff(3948,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3949,plain,
% 25.29/16.58 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3950,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[3949])).
% 25.29/16.58 tff(3951,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 25.29/16.58 inference(transitivity,[status(thm)],[3950, 3948])).
% 25.29/16.58 tff(3952,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3953,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 25.29/16.58 tff(3954,plain,
% 25.29/16.58 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3953, 635, 3916])).
% 25.29/16.58 tff(3955,plain,
% 25.29/16.58 (v100(constB28) | (~v110(constB28))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3954, 3947])).
% 25.29/16.58 tff(3956,plain,
% 25.29/16.58 (v100(constB28)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3955, 3924])).
% 25.29/16.58 tff(3957,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3958,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3959,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 25.29/16.58 tff(3960,plain,
% 25.29/16.58 (~v130(constB27, bitIndex2)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3959, 1005, 3864])).
% 25.29/16.58 tff(3961,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3962,plain,
% 25.29/16.58 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3963,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[3962])).
% 25.29/16.58 tff(3964,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 25.29/16.58 inference(transitivity,[status(thm)],[3963, 3961])).
% 25.29/16.58 tff(3965,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3966,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3965, 3964])).
% 25.29/16.58 tff(3967,plain,
% 25.29/16.58 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3966, 665, 3901])).
% 25.29/16.58 tff(3968,plain,
% 25.29/16.58 (~v127(constB27, bitIndex2)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3967, 3960])).
% 25.29/16.58 tff(3969,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3970,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3971,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 25.29/16.58 tff(3972,plain,
% 25.29/16.58 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3971, 683, 3916])).
% 25.29/16.58 tff(3973,plain,
% 25.29/16.58 (~v129(constB28, bitIndex2)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3972, 3968])).
% 25.29/16.58 tff(3974,plain,
% 25.29/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3975,plain,
% 25.29/16.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3976,plain,
% 25.29/16.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 25.29/16.58 tff(3977,plain,
% 25.29/16.58 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3976, 698, 3973])).
% 25.29/16.58 tff(3978,plain,
% 25.29/16.58 (~v90(constB28, bitIndex2)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3977, 3956])).
% 25.29/16.58 tff(3979,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3980,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3981,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 25.29/16.58 tff(3982,plain,
% 25.29/16.58 (v130(constB27, bitIndex1)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3981, 1061, 3864])).
% 25.29/16.58 tff(3983,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3984,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3985,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 25.29/16.58 tff(3986,plain,
% 25.29/16.58 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3985, 1075, 3901])).
% 25.29/16.58 tff(3987,plain,
% 25.29/16.58 (v127(constB27, bitIndex1)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3986, 3982])).
% 25.29/16.58 tff(3988,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3989,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3990,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3989, 3988])).
% 25.29/16.58 tff(3991,plain,
% 25.29/16.58 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3990, 1090, 3916])).
% 25.29/16.58 tff(3992,plain,
% 25.29/16.58 (v129(constB28, bitIndex1)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3991, 3987])).
% 25.29/16.58 tff(3993,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3994,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(3995,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[3994, 3993])).
% 25.29/16.58 tff(3996,plain,
% 25.29/16.58 (~v130(constB27, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[3995, 1139, 3864])).
% 25.29/16.58 tff(3997,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3998,plain,
% 25.29/16.58 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(3999,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[3998])).
% 25.29/16.58 tff(4000,plain,
% 25.29/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 25.29/16.58 inference(transitivity,[status(thm)],[3999, 3997])).
% 25.29/16.58 tff(4001,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4002,plain,
% 25.29/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 25.29/16.58 tff(4003,plain,
% 25.29/16.58 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4002, 1153, 3901])).
% 25.29/16.58 tff(4004,plain,
% 25.29/16.58 (~v127(constB27, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4003, 3996])).
% 25.29/16.58 tff(4005,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4006,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4007,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 25.29/16.58 tff(4008,plain,
% 25.29/16.58 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4007, 1171, 3916])).
% 25.29/16.58 tff(4009,plain,
% 25.29/16.58 (~v129(constB28, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4008, 4004])).
% 25.29/16.58 tff(4010,plain,
% 25.29/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4011,plain,
% 25.29/16.58 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4012,plain,
% 25.29/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[4011])).
% 25.29/16.58 tff(4013,plain,
% 25.29/16.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 25.29/16.58 inference(transitivity,[status(thm)],[4012, 4010])).
% 25.29/16.58 tff(4014,plain,
% 25.29/16.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4015,plain,
% 25.29/16.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4014, 4013])).
% 25.29/16.58 tff(4016,plain,
% 25.29/16.58 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4015, 1186, 4009])).
% 25.29/16.58 tff(4017,plain,
% 25.29/16.58 (~v90(constB28, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4016, 3956])).
% 25.29/16.58 tff(4018,plain,
% 25.29/16.58 ((~v1(constB29)) <=> (~v1(constB29))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4019,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 25.29/16.58 tff(4020,plain,
% 25.29/16.58 (~v1(constB29)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 25.29/16.58 tff(4021,plain,
% 25.29/16.58 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4022,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 25.29/16.58 tff(4023,plain,
% 25.29/16.58 (nextState(constB28, constB29)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 25.29/16.58 tff(4024,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4025,plain,
% 25.29/16.58 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4026,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[4025])).
% 25.29/16.58 tff(4027,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 25.29/16.58 inference(transitivity,[status(thm)],[4026, 4024])).
% 25.29/16.58 tff(4028,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4029,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4028, 4027])).
% 25.29/16.58 tff(4030,plain,
% 25.29/16.58 (~v101(constB29)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4029, 342, 4023, 4020])).
% 25.29/16.58 tff(4031,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4032,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4033,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4032, 4031])).
% 25.29/16.58 tff(4034,plain,
% 25.29/16.58 (v101(constB29) | (~v100(constB29))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4033, 359, 4023])).
% 25.29/16.58 tff(4035,plain,
% 25.29/16.58 (~v100(constB29)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4034, 4030])).
% 25.29/16.58 tff(4036,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4037,plain,
% 25.29/16.58 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4038,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[4037])).
% 25.29/16.58 tff(4039,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 25.29/16.58 inference(transitivity,[status(thm)],[4038, 4036])).
% 25.29/16.58 tff(4040,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4041,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4040, 4039])).
% 25.29/16.58 tff(4042,plain,
% 25.29/16.58 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4041, 416, 4023])).
% 25.29/16.58 tff(4043,plain,
% 25.29/16.58 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4042, 4035])).
% 25.29/16.58 tff(4044,plain,
% 25.29/16.58 (~v90(constB29, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4043, 4017])).
% 25.29/16.58 tff(4045,assumption,(~v90(constB29, bitIndex0)), introduced(assumption)).
% 25.29/16.58 tff(4046,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4047,plain,
% 25.29/16.58 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4048,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0)))),
% 25.29/16.58 inference(monotonicity,[status(thm)],[4047])).
% 25.29/16.58 tff(4049,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0))),
% 25.29/16.58 inference(transitivity,[status(thm)],[4048, 4046])).
% 25.29/16.58 tff(4050,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0))),
% 25.29/16.58 inference(quant_inst,[status(thm)],[])).
% 25.29/16.58 tff(4051,plain,
% 25.29/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex0)),
% 25.29/16.58 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 25.29/16.58 tff(4052,plain,
% 25.29/16.58 ((~v90(constB28, bitIndex0)) | v100(constB29) | v90(constB29, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4051, 870, 4023])).
% 25.29/16.58 tff(4053,plain,
% 25.29/16.58 ((~v90(constB28, bitIndex0)) | v90(constB29, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4052, 4035])).
% 25.29/16.58 tff(4054,plain,
% 25.29/16.58 (~v90(constB28, bitIndex0)),
% 25.29/16.58 inference(unit_resolution,[status(thm)],[4053, 4045])).
% 25.29/16.58 tff(4055,assumption,(~v90(constB28, bitIndex2)), introduced(assumption)).
% 25.29/16.58 tff(4056,plain,
% 25.29/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 25.29/16.58 inference(rewrite,[status(thm)],[])).
% 25.29/16.58 tff(4057,plain,
% 25.29/16.59 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4058,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4057])).
% 25.29/16.59 tff(4059,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4058, 4056])).
% 25.29/16.59 tff(4060,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4061,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 25.29/16.59 tff(4062,plain,
% 25.29/16.59 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4061, 374, 4023])).
% 25.29/16.59 tff(4063,plain,
% 25.29/16.59 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4062, 4035])).
% 25.29/16.59 tff(4064,plain,
% 25.29/16.59 (~v90(constB29, bitIndex2)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4063, 4055])).
% 25.29/16.59 tff(4065,assumption,(~v121(constB29)), introduced(assumption)).
% 25.29/16.59 tff(4066,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4067,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4068,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4067, 4066])).
% 25.29/16.59 tff(4069,plain,
% 25.29/16.59 ((~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4068, 1213, 4045, 4065])).
% 25.29/16.59 tff(4070,plain,
% 25.29/16.59 (~v90(constB29, bitIndex1)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4069, 4064])).
% 25.29/16.59 tff(4071,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4072,plain,
% 25.29/16.59 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4073,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4072])).
% 25.29/16.59 tff(4074,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4073, 4071])).
% 25.29/16.59 tff(4075,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4076,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4075, 4074])).
% 25.29/16.59 tff(4077,plain,
% 25.29/16.59 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4076, 1123, 4023])).
% 25.29/16.59 tff(4078,plain,
% 25.29/16.59 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4077, 4035])).
% 25.29/16.59 tff(4079,plain,
% 25.29/16.59 (~v90(constB28, bitIndex1)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4078, 4070])).
% 25.29/16.59 tff(4080,assumption,(~v108(constB27)), introduced(assumption)).
% 25.29/16.59 tff(4081,plain,
% 25.29/16.59 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 25.29/16.59 inference(bind,[status(th)],[])).
% 25.29/16.59 tff(4082,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(quant_intro,[status(thm)],[4081])).
% 25.29/16.59 tff(4083,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4084,plain,
% 25.29/16.59 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))))),
% 25.29/16.59 inference(bind,[status(th)],[])).
% 25.29/16.59 tff(4085,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(quant_intro,[status(thm)],[4084])).
% 25.29/16.59 tff(4086,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 25.29/16.59 tff(4087,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 25.29/16.59 tff(4088,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4087, 4083])).
% 25.29/16.59 tff(4089,plain,(
% 25.29/16.59 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(skolemize,[status(sab)],[4088])).
% 25.29/16.59 tff(4090,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4089, 4082])).
% 25.29/16.59 tff(4091,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4092,plain,
% 25.29/16.59 (((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28))) <=> ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4093,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27)))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4092])).
% 25.29/16.59 tff(4094,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4093, 4091])).
% 25.29/16.59 tff(4095,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4096,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 25.29/16.59 tff(4097,plain,
% 25.29/16.59 ((~v110(constB28)) | v108(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4096, 4090, 3916])).
% 25.29/16.59 tff(4098,plain,
% 25.29/16.59 (~v110(constB28)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4097, 4080])).
% 25.29/16.59 tff(4099,plain,
% 25.29/16.59 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 25.29/16.59 inference(bind,[status(th)],[])).
% 25.29/16.59 tff(4100,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(quant_intro,[status(thm)],[4099])).
% 25.29/16.59 tff(4101,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4102,plain,
% 25.29/16.59 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))))),
% 25.29/16.59 inference(bind,[status(th)],[])).
% 25.29/16.59 tff(4103,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(quant_intro,[status(thm)],[4102])).
% 25.29/16.59 tff(4104,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 25.29/16.59 tff(4105,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 25.29/16.59 tff(4106,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4105, 4101])).
% 25.29/16.59 tff(4107,plain,(
% 25.29/16.59 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(skolemize,[status(sab)],[4106])).
% 25.29/16.59 tff(4108,plain,
% 25.29/16.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4107, 4100])).
% 25.29/16.59 tff(4109,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4110,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4111,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 25.29/16.59 tff(4112,plain,
% 25.29/16.59 (v110(constB28) | (~v100(constB28))),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4111, 4108, 3916])).
% 25.29/16.59 tff(4113,plain,
% 25.29/16.59 (~v100(constB28)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4112, 4098])).
% 25.29/16.59 tff(4114,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4115,plain,
% 25.29/16.59 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)) <=> ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4116,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4115])).
% 25.29/16.59 tff(4117,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4116, 4114])).
% 25.29/16.59 tff(4118,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4119,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB27, bitIndex2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex2)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 25.29/16.59 tff(4120,plain,
% 25.29/16.59 ((~v90(constB27, bitIndex2)) | v100(constB28) | v90(constB28, bitIndex2)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4119, 1626, 3916])).
% 25.29/16.59 tff(4121,plain,
% 25.29/16.59 (~v90(constB27, bitIndex2)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4120, 4113, 4055])).
% 25.29/16.59 tff(4122,assumption,(~v90(constB28, bitIndex1)), introduced(assumption)).
% 25.29/16.59 tff(4123,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4124,plain,
% 25.29/16.59 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)) <=> ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4125,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4124])).
% 25.29/16.59 tff(4126,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4125, 4123])).
% 25.29/16.59 tff(4127,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4128,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB27, bitIndex1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex1)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4127, 4126])).
% 25.29/16.59 tff(4129,plain,
% 25.29/16.59 ((~v90(constB27, bitIndex1)) | v100(constB28) | v90(constB28, bitIndex1)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4128, 1123, 3916])).
% 25.29/16.59 tff(4130,plain,
% 25.29/16.59 (~v90(constB27, bitIndex1)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4129, 4113, 4122])).
% 25.29/16.59 tff(4131,assumption,(~v90(constB28, bitIndex0)), introduced(assumption)).
% 25.29/16.59 tff(4132,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4133,plain,
% 25.29/16.59 (((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)) <=> ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4134,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4133])).
% 25.29/16.59 tff(4135,plain,
% 25.29/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4134, 4132])).
% 25.29/16.59 tff(4136,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4137,plain,
% 25.29/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB27, bitIndex0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, bitIndex0)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 25.29/16.59 tff(4138,plain,
% 25.29/16.59 ((~v90(constB27, bitIndex0)) | v100(constB28) | v90(constB28, bitIndex0)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4137, 870, 3916])).
% 25.29/16.59 tff(4139,plain,
% 25.29/16.59 (~v90(constB27, bitIndex0)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4138, 4113, 4131])).
% 25.29/16.59 tff(4140,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4141,plain,
% 25.29/16.59 ((v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4142,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27)))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4141])).
% 25.29/16.59 tff(4143,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4142, 4140])).
% 25.29/16.59 tff(4144,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB27, bitIndex0) | v119(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4145,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB27, bitIndex0) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v119(constB27)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4144, 4143])).
% 25.29/16.59 tff(4146,plain,
% 25.29/16.59 (v119(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4145, 437, 4139, 4130, 4121])).
% 25.29/16.59 tff(4147,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB27)) | v118(constB27))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4148,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4149,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB27)) | v118(constB27)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 25.29/16.59 tff(4150,plain,
% 25.29/16.59 (v118(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4149, 451, 4146])).
% 25.29/16.59 tff(4151,plain,
% 25.29/16.59 (v117(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3871, 462, 4150])).
% 25.29/16.59 tff(4152,plain,
% 25.29/16.59 (v116(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3878, 476, 4151])).
% 25.29/16.59 tff(4153,plain,
% 25.29/16.59 (~v112(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3912, 544, 4080])).
% 25.29/16.59 tff(4154,plain,
% 25.29/16.59 (~v113(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3905, 4153])).
% 25.29/16.59 tff(4155,plain,
% 25.29/16.59 (~v114(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3896, 518, 4154])).
% 25.29/16.59 tff(4156,plain,
% 25.29/16.59 (~v115(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3889, 504, 4155])).
% 25.29/16.59 tff(4157,plain,
% 25.29/16.59 ($false),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3885, 490, 4156, 4152])).
% 25.29/16.59 tff(4158,plain,(v108(constB27) | v90(constB28, bitIndex2) | v90(constB28, bitIndex1) | v90(constB28, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.59 tff(4159,plain,
% 25.29/16.59 (v108(constB27)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4158, 4079, 4055, 4054])).
% 25.29/16.59 tff(4160,assumption,(v129(constB28, bitIndex1)), introduced(assumption)).
% 25.29/16.59 tff(4161,plain,
% 25.29/16.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4162,plain,
% 25.29/16.59 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4163,plain,
% 25.29/16.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4162])).
% 25.29/16.59 tff(4164,plain,
% 25.29/16.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4163, 4161])).
% 25.29/16.59 tff(4165,plain,
% 25.29/16.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4166,plain,
% 25.29/16.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 25.29/16.59 tff(4167,plain,
% 25.29/16.59 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4166, 1105, 4160])).
% 25.29/16.59 tff(4168,plain,
% 25.29/16.59 (~v100(constB28)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4167, 4079])).
% 25.29/16.59 tff(4169,plain,
% 25.29/16.59 (~v110(constB28)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3955, 4168])).
% 25.29/16.59 tff(4170,plain,
% 25.29/16.59 ($false),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[3923, 4169, 4159])).
% 25.29/16.59 tff(4171,plain,(v90(constB28, bitIndex2) | (~v129(constB28, bitIndex1)) | v90(constB29, bitIndex0) | v121(constB29)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.59 tff(4172,plain,
% 25.29/16.59 (v121(constB29)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4171, 4044, 3992, 3978])).
% 25.29/16.59 tff(4173,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4174,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4175,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4174, 4173])).
% 25.29/16.59 tff(4176,plain,
% 25.29/16.59 (v117(constB29)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4175, 1224, 4172])).
% 25.29/16.59 tff(4177,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4178,plain,
% 25.29/16.59 (((~v117(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v117(constB29)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4179,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29))))),
% 25.29/16.59 inference(monotonicity,[status(thm)],[4178])).
% 25.29/16.59 tff(4180,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 25.29/16.59 inference(transitivity,[status(thm)],[4179, 4177])).
% 25.29/16.59 tff(4181,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4182,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29))),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 25.29/16.59 tff(4183,plain,
% 25.29/16.59 (v116(constB29)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4182, 476, 4176])).
% 25.29/16.59 tff(4184,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4185,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4186,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 25.29/16.59 tff(4187,plain,
% 25.29/16.59 (v115(constB29)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4186, 490, 4183])).
% 25.29/16.59 tff(4188,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB29)) | v114(constB29))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4189,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 25.29/16.59 inference(quant_inst,[status(thm)],[])).
% 25.29/16.59 tff(4190,plain,
% 25.29/16.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB29)) | v114(constB29)),
% 25.29/16.59 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 25.29/16.59 tff(4191,plain,
% 25.29/16.59 (v114(constB29)),
% 25.29/16.59 inference(unit_resolution,[status(thm)],[4190, 504, 4187])).
% 25.29/16.59 tff(4192,plain,
% 25.29/16.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 25.29/16.59 inference(rewrite,[status(thm)],[])).
% 25.29/16.59 tff(4193,plain,
% 25.29/16.60 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(4194,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[4193])).
% 25.29/16.60 tff(4195,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 25.29/16.60 inference(transitivity,[status(thm)],[4194, 4192])).
% 25.29/16.60 tff(4196,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(4197,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[4196, 4195])).
% 25.29/16.60 tff(4198,plain,
% 25.29/16.60 (v113(constB29)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[4197, 518, 4191])).
% 25.29/16.60 tff(4199,assumption,(v26(constB29)), introduced(assumption)).
% 25.29/16.60 tff(4200,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(4201,plain,
% 25.29/16.60 ($false),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[4200, 120, 4199])).
% 25.29/16.60 tff(4202,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.60 tff(4203,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(4204,plain,
% 25.29/16.60 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(4205,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29))))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[4204])).
% 25.29/16.60 tff(4206,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 25.29/16.60 inference(transitivity,[status(thm)],[4205, 4203])).
% 25.29/16.60 tff(4207,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(4208,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[4207, 4206])).
% 25.29/16.60 tff(4209,plain,
% 25.29/16.60 (v112(constB29) | (~v113(constB29))),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[4208, 532, 4202])).
% 25.29/16.60 tff(4210,plain,
% 25.29/16.60 (v112(constB29)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[4209, 4198])).
% 25.29/16.60 tff(4211,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(4212,plain,
% 25.29/16.60 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(4213,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[4212])).
% 25.29/16.60 tff(4214,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4213, 4211])).
% 25.33/16.60 tff(4215,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4216,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 25.33/16.60 tff(4217,plain,
% 25.33/16.60 (v108(constB29)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4216, 544, 4210])).
% 25.33/16.60 tff(4218,plain,
% 25.33/16.60 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4219,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 25.33/16.60 tff(4220,plain,
% 25.33/16.60 (nextState(constB29, constB30)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 25.33/16.60 tff(4221,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4222,plain,
% 25.33/16.60 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4223,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4222])).
% 25.33/16.60 tff(4224,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4223, 4221])).
% 25.33/16.60 tff(4225,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4226,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 25.33/16.60 tff(4227,plain,
% 25.33/16.60 (v110(constB30) | (~v108(constB29))),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4226, 564, 4220])).
% 25.33/16.60 tff(4228,plain,
% 25.33/16.60 (v110(constB30)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4227, 4217])).
% 25.33/16.60 tff(4229,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4230,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4231,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4230, 4229])).
% 25.33/16.60 tff(4232,plain,
% 25.33/16.60 (~v104(constB30)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4231, 582, 4220, 4020])).
% 25.33/16.60 tff(4233,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4234,plain,
% 25.33/16.60 (((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4235,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4234])).
% 25.33/16.60 tff(4236,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4235, 4233])).
% 25.33/16.60 tff(4237,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4238,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | v102(constB30)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 25.33/16.60 tff(4239,plain,
% 25.33/16.60 (v104(constB30) | v102(constB30)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4238, 596, 4220])).
% 25.33/16.60 tff(4240,plain,
% 25.33/16.60 (v102(constB30)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4239, 4232])).
% 25.33/16.60 tff(4241,plain,
% 25.33/16.60 (v1(constB30) <=> v1(constB30)),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4242,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 25.33/16.60 tff(4243,plain,
% 25.33/16.60 (v1(constB30)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 25.33/16.60 tff(4244,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4245,plain,
% 25.33/16.60 (((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))) <=> ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4246,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4245])).
% 25.33/16.60 tff(4247,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30)))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4246, 4244])).
% 25.33/16.60 tff(4248,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4249,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | (~v1(constB30)) | v101(constB30) | (~v102(constB30))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 25.33/16.60 tff(4250,plain,
% 25.33/16.60 (v101(constB30) | (~v102(constB30))),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4249, 617, 4220, 4243])).
% 25.33/16.60 tff(4251,plain,
% 25.33/16.60 (v101(constB30)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4250, 4240])).
% 25.33/16.60 tff(4252,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4253,plain,
% 25.33/16.60 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4254,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4253])).
% 25.33/16.60 tff(4255,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4254, 4252])).
% 25.33/16.60 tff(4256,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4257,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4256, 4255])).
% 25.33/16.60 tff(4258,plain,
% 25.33/16.60 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4257, 635, 4220])).
% 25.33/16.60 tff(4259,plain,
% 25.33/16.60 (v100(constB30) | (~v110(constB30))),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4258, 4251])).
% 25.33/16.60 tff(4260,plain,
% 25.33/16.60 (v100(constB30)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4259, 4228])).
% 25.33/16.60 tff(4261,plain,
% 25.33/16.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4262,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4263,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 25.33/16.60 tff(4264,plain,
% 25.33/16.60 (v130(constB29, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4263, 1413, 4172])).
% 25.33/16.60 tff(4265,plain,
% 25.33/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4266,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4267,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 25.33/16.60 tff(4268,plain,
% 25.33/16.60 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4267, 822, 4202])).
% 25.33/16.60 tff(4269,plain,
% 25.33/16.60 (v127(constB29, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4268, 4264])).
% 25.33/16.60 tff(4270,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4271,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4272,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 25.33/16.60 tff(4273,plain,
% 25.33/16.60 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4272, 837, 4220])).
% 25.33/16.60 tff(4274,plain,
% 25.33/16.60 (v129(constB30, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4273, 4269])).
% 25.33/16.60 tff(4275,plain,
% 25.33/16.60 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4276,plain,
% 25.33/16.60 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4277,plain,
% 25.33/16.60 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4276])).
% 25.33/16.60 tff(4278,plain,
% 25.33/16.60 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4277, 4275])).
% 25.33/16.60 tff(4279,plain,
% 25.33/16.60 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4280,plain,
% 25.33/16.60 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 25.33/16.60 tff(4281,plain,
% 25.33/16.60 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4280, 852, 4274])).
% 25.33/16.60 tff(4282,plain,
% 25.33/16.60 (v90(constB30, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4281, 4260])).
% 25.33/16.60 tff(4283,plain,
% 25.33/16.60 ((~v1(constB31)) <=> (~v1(constB31))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4284,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 25.33/16.60 tff(4285,plain,
% 25.33/16.60 (~v1(constB31)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 25.33/16.60 tff(4286,plain,
% 25.33/16.60 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4287,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 25.33/16.60 tff(4288,plain,
% 25.33/16.60 (nextState(constB30, constB31)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 25.33/16.60 tff(4289,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4290,plain,
% 25.33/16.60 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4291,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4290])).
% 25.33/16.60 tff(4292,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4291, 4289])).
% 25.33/16.60 tff(4293,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4294,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 25.33/16.60 tff(4295,plain,
% 25.33/16.60 (~v101(constB31)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4294, 342, 4288, 4285])).
% 25.33/16.60 tff(4296,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4297,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4298,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 25.33/16.60 tff(4299,plain,
% 25.33/16.60 (v101(constB31) | (~v100(constB31))),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4298, 359, 4288])).
% 25.33/16.60 tff(4300,plain,
% 25.33/16.60 (~v100(constB31)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4299, 4295])).
% 25.33/16.60 tff(4301,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4302,plain,
% 25.33/16.60 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4303,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4302])).
% 25.33/16.60 tff(4304,plain,
% 25.33/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4303, 4301])).
% 25.33/16.60 tff(4305,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4306,plain,
% 25.33/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 25.33/16.60 tff(4307,plain,
% 25.33/16.60 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4306, 870, 4288])).
% 25.33/16.60 tff(4308,plain,
% 25.33/16.60 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4307, 4300])).
% 25.33/16.60 tff(4309,plain,
% 25.33/16.60 (v90(constB31, bitIndex0)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4308, 4282])).
% 25.33/16.60 tff(4310,plain,
% 25.33/16.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4311,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4312,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 25.33/16.60 tff(4313,plain,
% 25.33/16.60 (~v130(constB29, bitIndex2)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4312, 1325, 4172])).
% 25.33/16.60 tff(4314,plain,
% 25.33/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4315,plain,
% 25.33/16.60 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 25.33/16.60 inference(rewrite,[status(thm)],[])).
% 25.33/16.60 tff(4316,plain,
% 25.33/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 25.33/16.60 inference(monotonicity,[status(thm)],[4315])).
% 25.33/16.60 tff(4317,plain,
% 25.33/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 25.33/16.60 inference(transitivity,[status(thm)],[4316, 4314])).
% 25.33/16.60 tff(4318,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 25.33/16.60 inference(quant_inst,[status(thm)],[])).
% 25.33/16.60 tff(4319,plain,
% 25.33/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 25.33/16.60 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 25.33/16.60 tff(4320,plain,
% 25.33/16.60 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 25.33/16.60 inference(unit_resolution,[status(thm)],[4319, 665, 4202])).
% 25.33/16.60 tff(4321,plain,
% 25.33/16.60 (~v127(constB29, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4320, 4313])).
% 25.33/16.61 tff(4322,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4323,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4324,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 25.33/16.61 tff(4325,plain,
% 25.33/16.61 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4324, 683, 4220])).
% 25.33/16.61 tff(4326,plain,
% 25.33/16.61 (~v129(constB30, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4325, 4321])).
% 25.33/16.61 tff(4327,plain,
% 25.33/16.61 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4328,plain,
% 25.33/16.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4329,plain,
% 25.33/16.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 25.33/16.61 tff(4330,plain,
% 25.33/16.61 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4329, 698, 4326])).
% 25.33/16.61 tff(4331,plain,
% 25.33/16.61 (~v90(constB30, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4330, 4260])).
% 25.33/16.61 tff(4332,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4333,plain,
% 25.33/16.61 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4334,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4333])).
% 25.33/16.61 tff(4335,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4334, 4332])).
% 25.33/16.61 tff(4336,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4337,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 25.33/16.61 tff(4338,plain,
% 25.33/16.61 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4337, 374, 4288])).
% 25.33/16.61 tff(4339,plain,
% 25.33/16.61 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4338, 4300])).
% 25.33/16.61 tff(4340,plain,
% 25.33/16.61 (~v90(constB31, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4339, 4331])).
% 25.33/16.61 tff(4341,assumption,(v120(constB27)), introduced(assumption)).
% 25.33/16.61 tff(4342,plain,
% 25.33/16.61 (v118(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3867, 900, 4341])).
% 25.33/16.61 tff(4343,plain,
% 25.33/16.61 (v117(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3871, 462, 4342])).
% 25.33/16.61 tff(4344,plain,
% 25.33/16.61 (v116(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3878, 476, 4343])).
% 25.33/16.61 tff(4345,plain,
% 25.33/16.61 (v115(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3885, 490, 4344])).
% 25.33/16.61 tff(4346,plain,
% 25.33/16.61 (v114(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3889, 504, 4345])).
% 25.33/16.61 tff(4347,plain,
% 25.33/16.61 (v113(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3896, 518, 4346])).
% 25.33/16.61 tff(4348,plain,
% 25.33/16.61 (v112(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3905, 4347])).
% 25.33/16.61 tff(4349,plain,
% 25.33/16.61 (v108(constB27)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3912, 544, 4348])).
% 25.33/16.61 tff(4350,plain,
% 25.33/16.61 (v110(constB28)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3923, 4349])).
% 25.33/16.61 tff(4351,plain,
% 25.33/16.61 (v100(constB28)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3955, 4350])).
% 25.33/16.61 tff(4352,plain,
% 25.33/16.61 (~v130(constB27, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3959, 1005, 4341])).
% 25.33/16.61 tff(4353,plain,
% 25.33/16.61 (~v127(constB27, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3967, 4352])).
% 25.33/16.61 tff(4354,plain,
% 25.33/16.61 (~v129(constB28, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3972, 4353])).
% 25.33/16.61 tff(4355,plain,
% 25.33/16.61 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3976, 698, 4354])).
% 25.33/16.61 tff(4356,plain,
% 25.33/16.61 (~v90(constB28, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4355, 4351])).
% 25.33/16.61 tff(4357,plain,
% 25.33/16.61 (~v90(constB29, bitIndex2)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4063, 4356])).
% 25.33/16.61 tff(4358,plain,
% 25.33/16.61 (v130(constB27, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3981, 1061, 4341])).
% 25.33/16.61 tff(4359,plain,
% 25.33/16.61 (v127(constB27, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3986, 4358])).
% 25.33/16.61 tff(4360,plain,
% 25.33/16.61 (v129(constB28, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3991, 4359])).
% 25.33/16.61 tff(4361,plain,
% 25.33/16.61 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4166, 1105, 4360])).
% 25.33/16.61 tff(4362,plain,
% 25.33/16.61 (v90(constB28, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4361, 4351])).
% 25.33/16.61 tff(4363,plain,
% 25.33/16.61 (v90(constB29, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4078, 4362])).
% 25.33/16.61 tff(4364,plain,
% 25.33/16.61 (~v130(constB27, bitIndex0)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[3995, 1139, 4341])).
% 25.33/16.61 tff(4365,plain,
% 25.33/16.61 (~v127(constB27, bitIndex0)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4003, 4364])).
% 25.33/16.61 tff(4366,plain,
% 25.33/16.61 (~v129(constB28, bitIndex0)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4008, 4365])).
% 25.33/16.61 tff(4367,plain,
% 25.33/16.61 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4015, 1186, 4366])).
% 25.33/16.61 tff(4368,plain,
% 25.33/16.61 (~v90(constB28, bitIndex0)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4367, 4351])).
% 25.33/16.61 tff(4369,plain,
% 25.33/16.61 (~v90(constB29, bitIndex0)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4043, 4368])).
% 25.33/16.61 tff(4370,plain,
% 25.33/16.61 (v121(constB29)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4068, 1213, 4369, 4363, 4357])).
% 25.33/16.61 tff(4371,assumption,(~v90(constB30, bitIndex1)), introduced(assumption)).
% 25.33/16.61 tff(4372,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4373,plain,
% 25.33/16.61 (((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1)) <=> ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4374,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1)))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4373])).
% 25.33/16.61 tff(4375,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4374, 4372])).
% 25.33/16.61 tff(4376,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4377,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 25.33/16.61 tff(4378,plain,
% 25.33/16.61 ((~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4377, 1123, 4220])).
% 25.33/16.61 tff(4379,plain,
% 25.33/16.61 (v100(constB30)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4378, 4363, 4371])).
% 25.33/16.61 tff(4380,plain,
% 25.33/16.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4381,plain,
% 25.33/16.61 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4382,plain,
% 25.33/16.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4381])).
% 25.33/16.61 tff(4383,plain,
% 25.33/16.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4382, 4380])).
% 25.33/16.61 tff(4384,plain,
% 25.33/16.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4385,plain,
% 25.33/16.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4384, 4383])).
% 25.33/16.61 tff(4386,plain,
% 25.33/16.61 ((~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4385, 1105, 4371])).
% 25.33/16.61 tff(4387,plain,
% 25.33/16.61 (~v129(constB30, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4386, 4379])).
% 25.33/16.61 tff(4388,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4389,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4390,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 25.33/16.61 tff(4391,plain,
% 25.33/16.61 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4390, 1090, 4220])).
% 25.33/16.61 tff(4392,plain,
% 25.33/16.61 (~v127(constB29, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4391, 4387])).
% 25.33/16.61 tff(4393,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4394,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4395,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 25.33/16.61 tff(4396,plain,
% 25.33/16.61 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4395, 1075, 4202])).
% 25.33/16.61 tff(4397,plain,
% 25.33/16.61 (~v130(constB29, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4396, 4392])).
% 25.33/16.61 tff(4398,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4399,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4400,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 25.33/16.61 tff(4401,plain,
% 25.33/16.61 ($false),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4400, 1375, 4397, 4370])).
% 25.33/16.61 tff(4402,plain,((~v120(constB27)) | v90(constB30, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.61 tff(4403,plain,
% 25.33/16.61 (v90(constB30, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4402, 3864])).
% 25.33/16.61 tff(4404,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4405,plain,
% 25.33/16.61 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4406,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4405])).
% 25.33/16.61 tff(4407,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4406, 4404])).
% 25.33/16.61 tff(4408,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4409,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 25.33/16.61 tff(4410,plain,
% 25.33/16.61 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4409, 1123, 4288])).
% 25.33/16.61 tff(4411,plain,
% 25.33/16.61 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4410, 4300])).
% 25.33/16.61 tff(4412,plain,
% 25.33/16.61 (v90(constB31, bitIndex1)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4411, 4403])).
% 25.33/16.61 tff(4413,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4414,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4415,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 25.33/16.61 tff(4416,plain,
% 25.33/16.61 ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex2) | v122(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4415, 1454, 4412])).
% 25.33/16.61 tff(4417,plain,
% 25.33/16.61 (v122(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4416, 4340, 4309])).
% 25.33/16.61 tff(4418,assumption,(~v123(constB33)), introduced(assumption)).
% 25.33/16.61 tff(4419,assumption,(v122(constB31)), introduced(assumption)).
% 25.33/16.61 tff(4420,assumption,(v26(constB31)), introduced(assumption)).
% 25.33/16.61 tff(4421,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4422,plain,
% 25.33/16.61 ($false),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4421, 120, 4420])).
% 25.33/16.61 tff(4423,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.61 tff(4424,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4425,plain,
% 25.33/16.61 (((~v122(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v122(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4426,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4425])).
% 25.33/16.61 tff(4427,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4426, 4424])).
% 25.33/16.61 tff(4428,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4429,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 25.33/16.61 tff(4430,plain,
% 25.33/16.61 (v116(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4429, 1465, 4419])).
% 25.33/16.61 tff(4431,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4432,plain,
% 25.33/16.61 (((~v116(constB31)) | v115(constB31)) <=> (v115(constB31) | (~v116(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4433,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4432])).
% 25.33/16.61 tff(4434,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4433, 4431])).
% 25.33/16.61 tff(4435,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4436,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 25.33/16.61 tff(4437,plain,
% 25.33/16.61 (v115(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4436, 490, 4430])).
% 25.33/16.61 tff(4438,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4439,plain,
% 25.33/16.61 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4440,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4439])).
% 25.33/16.61 tff(4441,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4440, 4438])).
% 25.33/16.61 tff(4442,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4443,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 25.33/16.61 tff(4444,plain,
% 25.33/16.61 (v114(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4443, 504, 4437])).
% 25.33/16.61 tff(4445,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4446,plain,
% 25.33/16.61 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4447,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4446])).
% 25.33/16.61 tff(4448,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4447, 4445])).
% 25.33/16.61 tff(4449,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4450,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 25.33/16.61 tff(4451,plain,
% 25.33/16.61 (v113(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4450, 518, 4444])).
% 25.33/16.61 tff(4452,assumption,(~v26(constB31)), introduced(assumption)).
% 25.33/16.61 tff(4453,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4454,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4455,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 25.33/16.61 tff(4456,plain,
% 25.33/16.61 ((~v113(constB31)) | v112(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4455, 532, 4452])).
% 25.33/16.61 tff(4457,plain,
% 25.33/16.61 (v112(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4456, 4451])).
% 25.33/16.61 tff(4458,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4459,plain,
% 25.33/16.61 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4460,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4459])).
% 25.33/16.61 tff(4461,plain,
% 25.33/16.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4460, 4458])).
% 25.33/16.61 tff(4462,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4463,plain,
% 25.33/16.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4462, 4461])).
% 25.33/16.61 tff(4464,plain,
% 25.33/16.61 (v108(constB31)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4463, 544, 4457])).
% 25.33/16.61 tff(4465,plain,
% 25.33/16.61 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4466,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 25.33/16.61 tff(4467,plain,
% 25.33/16.61 (nextState(constB31, constB32)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 25.33/16.61 tff(4468,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4469,plain,
% 25.33/16.61 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4470,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4469])).
% 25.33/16.61 tff(4471,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4470, 4468])).
% 25.33/16.61 tff(4472,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4473,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 25.33/16.61 tff(4474,plain,
% 25.33/16.61 (v110(constB32) | (~v108(constB31))),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4473, 564, 4467])).
% 25.33/16.61 tff(4475,plain,
% 25.33/16.61 (v110(constB32)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4474, 4464])).
% 25.33/16.61 tff(4476,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4477,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4478,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 25.33/16.61 tff(4479,plain,
% 25.33/16.61 (~v104(constB32)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4478, 582, 4467, 4285])).
% 25.33/16.61 tff(4480,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4481,plain,
% 25.33/16.61 (((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4482,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)))),
% 25.33/16.61 inference(monotonicity,[status(thm)],[4481])).
% 25.33/16.61 tff(4483,plain,
% 25.33/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32))),
% 25.33/16.61 inference(transitivity,[status(thm)],[4482, 4480])).
% 25.33/16.61 tff(4484,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 25.33/16.61 inference(quant_inst,[status(thm)],[])).
% 25.33/16.61 tff(4485,plain,
% 25.33/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | v102(constB32)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 25.33/16.61 tff(4486,plain,
% 25.33/16.61 (v104(constB32) | v102(constB32)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4485, 596, 4467])).
% 25.33/16.61 tff(4487,plain,
% 25.33/16.61 (v102(constB32)),
% 25.33/16.61 inference(unit_resolution,[status(thm)],[4486, 4479])).
% 25.33/16.61 tff(4488,plain,
% 25.33/16.61 (v1(constB32) <=> v1(constB32)),
% 25.33/16.61 inference(rewrite,[status(thm)],[])).
% 25.33/16.61 tff(4489,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 25.33/16.61 tff(4490,plain,
% 25.33/16.61 (v1(constB32)),
% 25.33/16.61 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 25.33/16.62 tff(4491,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4492,plain,
% 25.33/16.62 (((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))) <=> ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4493,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4492])).
% 25.33/16.62 tff(4494,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4493, 4491])).
% 25.33/16.62 tff(4495,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4496,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | (~v1(constB32)) | v101(constB32) | (~v102(constB32))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 25.33/16.62 tff(4497,plain,
% 25.33/16.62 (v101(constB32) | (~v102(constB32))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4496, 617, 4467, 4490])).
% 25.33/16.62 tff(4498,plain,
% 25.33/16.62 (v101(constB32)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4497, 4487])).
% 25.33/16.62 tff(4499,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4500,plain,
% 25.33/16.62 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4501,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4500])).
% 25.33/16.62 tff(4502,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4501, 4499])).
% 25.33/16.62 tff(4503,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4504,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 25.33/16.62 tff(4505,plain,
% 25.33/16.62 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4504, 635, 4467])).
% 25.33/16.62 tff(4506,plain,
% 25.33/16.62 (v100(constB32) | (~v110(constB32))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4505, 4498])).
% 25.33/16.62 tff(4507,plain,
% 25.33/16.62 (v100(constB32)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4506, 4475])).
% 25.33/16.62 tff(4508,plain,
% 25.33/16.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4509,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4510,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4509, 4508])).
% 25.33/16.62 tff(4511,plain,
% 25.33/16.62 (v130(constB31, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4510, 1546, 4419])).
% 25.33/16.62 tff(4512,plain,
% 25.33/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4513,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4514,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 25.33/16.62 tff(4515,plain,
% 25.33/16.62 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4514, 1560, 4452])).
% 25.33/16.62 tff(4516,plain,
% 25.33/16.62 (v127(constB31, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4515, 4511])).
% 25.33/16.62 tff(4517,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4518,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4519,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 25.33/16.62 tff(4520,plain,
% 25.33/16.62 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4519, 1575, 4467])).
% 25.33/16.62 tff(4521,plain,
% 25.33/16.62 (v129(constB32, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4520, 4516])).
% 25.33/16.62 tff(4522,plain,
% 25.33/16.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4523,plain,
% 25.33/16.62 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4524,plain,
% 25.33/16.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4523])).
% 25.33/16.62 tff(4525,plain,
% 25.33/16.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4524, 4522])).
% 25.33/16.62 tff(4526,plain,
% 25.33/16.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4527,plain,
% 25.33/16.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 25.33/16.62 tff(4528,plain,
% 25.33/16.62 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4527, 1590, 4521])).
% 25.33/16.62 tff(4529,plain,
% 25.33/16.62 (v90(constB32, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4528, 4507])).
% 25.33/16.62 tff(4530,plain,
% 25.33/16.62 ((~v1(constB33)) <=> (~v1(constB33))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4531,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 25.33/16.62 tff(4532,plain,
% 25.33/16.62 (~v1(constB33)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 25.33/16.62 tff(4533,plain,
% 25.33/16.62 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4534,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 25.33/16.62 tff(4535,plain,
% 25.33/16.62 (nextState(constB32, constB33)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 25.33/16.62 tff(4536,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4537,plain,
% 25.33/16.62 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4538,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4537])).
% 25.33/16.62 tff(4539,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4538, 4536])).
% 25.33/16.62 tff(4540,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4541,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 25.33/16.62 tff(4542,plain,
% 25.33/16.62 (~v101(constB33)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4541, 342, 4535, 4532])).
% 25.33/16.62 tff(4543,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4544,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4545,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 25.33/16.62 tff(4546,plain,
% 25.33/16.62 (v101(constB33) | (~v100(constB33))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4545, 359, 4535])).
% 25.33/16.62 tff(4547,plain,
% 25.33/16.62 (~v100(constB33)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4546, 4542])).
% 25.33/16.62 tff(4548,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4549,plain,
% 25.33/16.62 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4550,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4549])).
% 25.33/16.62 tff(4551,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4550, 4548])).
% 25.33/16.62 tff(4552,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4553,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 25.33/16.62 tff(4554,plain,
% 25.33/16.62 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4553, 1626, 4535])).
% 25.33/16.62 tff(4555,plain,
% 25.33/16.62 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4554, 4547])).
% 25.33/16.62 tff(4556,plain,
% 25.33/16.62 (v90(constB33, bitIndex2)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4555, 4529])).
% 25.33/16.62 tff(4557,assumption,(~v129(constB32, bitIndex1)), introduced(assumption)).
% 25.33/16.62 tff(4558,plain,
% 25.33/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4559,plain,
% 25.33/16.62 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4560,plain,
% 25.33/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4559])).
% 25.33/16.62 tff(4561,plain,
% 25.33/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4560, 4558])).
% 25.33/16.62 tff(4562,plain,
% 25.33/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4563,plain,
% 25.33/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4562, 4561])).
% 25.33/16.62 tff(4564,plain,
% 25.33/16.62 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4563, 784, 4557])).
% 25.33/16.62 tff(4565,plain,
% 25.33/16.62 (~v90(constB32, bitIndex1)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4564, 4507])).
% 25.33/16.62 tff(4566,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4567,plain,
% 25.33/16.62 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4568,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4567])).
% 25.33/16.62 tff(4569,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4568, 4566])).
% 25.33/16.62 tff(4570,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4571,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 25.33/16.62 tff(4572,plain,
% 25.33/16.62 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4571, 395, 4535])).
% 25.33/16.62 tff(4573,plain,
% 25.33/16.62 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4572, 4547])).
% 25.33/16.62 tff(4574,plain,
% 25.33/16.62 (~v90(constB33, bitIndex1)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4573, 4565])).
% 25.33/16.62 tff(4575,plain,
% 25.33/16.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4576,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4577,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 25.33/16.62 tff(4578,plain,
% 25.33/16.62 (~v130(constB31, bitIndex0)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4577, 1683, 4419])).
% 25.33/16.62 tff(4579,plain,
% 25.33/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4580,plain,
% 25.33/16.62 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4581,plain,
% 25.33/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4580])).
% 25.33/16.62 tff(4582,plain,
% 25.33/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4581, 4579])).
% 25.33/16.62 tff(4583,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4584,plain,
% 25.33/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 25.33/16.62 tff(4585,plain,
% 25.33/16.62 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4584, 1153, 4452])).
% 25.33/16.62 tff(4586,plain,
% 25.33/16.62 (~v127(constB31, bitIndex0)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4585, 4578])).
% 25.33/16.62 tff(4587,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4588,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4589,plain,
% 25.33/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 25.33/16.62 tff(4590,plain,
% 25.33/16.62 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4589, 1171, 4467])).
% 25.33/16.62 tff(4591,plain,
% 25.33/16.62 (~v129(constB32, bitIndex0)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4590, 4586])).
% 25.33/16.62 tff(4592,plain,
% 25.33/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4593,plain,
% 25.33/16.62 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4594,plain,
% 25.33/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 25.33/16.62 inference(monotonicity,[status(thm)],[4593])).
% 25.33/16.62 tff(4595,plain,
% 25.33/16.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 25.33/16.62 inference(transitivity,[status(thm)],[4594, 4592])).
% 25.33/16.62 tff(4596,plain,
% 25.33/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 25.33/16.62 inference(quant_inst,[status(thm)],[])).
% 25.33/16.62 tff(4597,plain,
% 25.33/16.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 25.33/16.62 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 25.33/16.62 tff(4598,plain,
% 25.33/16.62 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4597, 1186, 4591])).
% 25.33/16.62 tff(4599,plain,
% 25.33/16.62 (~v90(constB32, bitIndex0)),
% 25.33/16.62 inference(unit_resolution,[status(thm)],[4598, 4507])).
% 25.33/16.62 tff(4600,plain,
% 25.33/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 25.33/16.62 inference(rewrite,[status(thm)],[])).
% 25.33/16.62 tff(4601,plain,
% 25.33/16.62 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4602,plain,
% 25.33/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4601])).
% 25.33/16.63 tff(4603,plain,
% 25.33/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4602, 4600])).
% 25.33/16.63 tff(4604,plain,
% 25.33/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4605,plain,
% 25.33/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 25.33/16.63 tff(4606,plain,
% 25.33/16.63 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4605, 416, 4535])).
% 25.33/16.63 tff(4607,plain,
% 25.33/16.63 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4606, 4547])).
% 25.33/16.63 tff(4608,plain,
% 25.33/16.63 (~v90(constB33, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4607, 4599])).
% 25.33/16.63 tff(4609,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4610,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4611,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 25.33/16.63 tff(4612,plain,
% 25.33/16.63 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4611, 1727, 4418])).
% 25.33/16.63 tff(4613,plain,
% 25.33/16.63 ($false),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4612, 4608, 4574, 4556])).
% 25.33/16.63 tff(4614,plain,((~v122(constB31)) | v123(constB33) | v129(constB32, bitIndex1) | v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.63 tff(4615,plain,
% 25.33/16.63 ((~v122(constB31)) | v123(constB33) | v129(constB32, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4614, 4423])).
% 25.33/16.63 tff(4616,plain,
% 25.33/16.63 (v129(constB32, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4615, 4419, 4418])).
% 25.33/16.63 tff(4617,plain,
% 25.33/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4618,plain,
% 25.33/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4619,plain,
% 25.33/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 25.33/16.63 tff(4620,plain,
% 25.33/16.63 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4619, 769, 4467])).
% 25.33/16.63 tff(4621,plain,
% 25.33/16.63 (v127(constB31, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4620, 4616])).
% 25.33/16.63 tff(4622,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4623,plain,
% 25.33/16.63 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4624,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4623])).
% 25.33/16.63 tff(4625,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4624, 4622])).
% 25.33/16.63 tff(4626,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4627,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 25.33/16.63 tff(4628,plain,
% 25.33/16.63 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4627, 751, 4423])).
% 25.33/16.63 tff(4629,plain,
% 25.33/16.63 (v130(constB31, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4628, 4621])).
% 25.33/16.63 tff(4630,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4631,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4632,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4631, 4630])).
% 25.33/16.63 tff(4633,plain,
% 25.33/16.63 ($false),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4632, 1642, 4419, 4629])).
% 25.33/16.63 tff(4634,plain,((~v122(constB31)) | v123(constB33)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.63 tff(4635,plain,
% 25.33/16.63 (v123(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4634, 4417])).
% 25.33/16.63 tff(4636,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4637,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4638,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4637, 4636])).
% 25.33/16.63 tff(4639,plain,
% 25.33/16.63 (v130(constB33, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4638, 1934, 4635])).
% 25.33/16.63 tff(4640,assumption,(v26(constB33)), introduced(assumption)).
% 25.33/16.63 tff(4641,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4642,plain,
% 25.33/16.63 ($false),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4641, 120, 4640])).
% 25.33/16.63 tff(4643,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.63 tff(4644,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4645,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4646,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4645, 4644])).
% 25.33/16.63 tff(4647,plain,
% 25.33/16.63 ((~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4646, 822, 4643])).
% 25.33/16.63 tff(4648,plain,
% 25.33/16.63 (v127(constB33, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4647, 4639])).
% 25.33/16.63 tff(4649,plain,
% 25.33/16.63 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4650,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 25.33/16.63 tff(4651,plain,
% 25.33/16.63 (nextState(constB33, constB34)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 25.33/16.63 tff(4652,plain,
% 25.33/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4653,plain,
% 25.33/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4654,plain,
% 25.33/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4653, 4652])).
% 25.33/16.63 tff(4655,plain,
% 25.33/16.63 ((~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4654, 837, 4651])).
% 25.33/16.63 tff(4656,plain,
% 25.33/16.63 (v129(constB34, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4655, 4648])).
% 25.33/16.63 tff(4657,plain,
% 25.33/16.63 (~v130(constB31, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4632, 1642, 4417])).
% 25.33/16.63 tff(4658,plain,
% 25.33/16.63 (~v127(constB31, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4628, 4657])).
% 25.33/16.63 tff(4659,plain,
% 25.33/16.63 (~v129(constB32, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4620, 4658])).
% 25.33/16.63 tff(4660,assumption,(~v113(constB33)), introduced(assumption)).
% 25.33/16.63 tff(4661,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4662,plain,
% 25.33/16.63 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4663,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4662])).
% 25.33/16.63 tff(4664,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4663, 4661])).
% 25.33/16.63 tff(4665,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4666,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 25.33/16.63 tff(4667,plain,
% 25.33/16.63 (~v114(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4666, 518, 4660])).
% 25.33/16.63 tff(4668,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4669,plain,
% 25.33/16.63 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4670,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4669])).
% 25.33/16.63 tff(4671,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4670, 4668])).
% 25.33/16.63 tff(4672,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4673,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4672, 4671])).
% 25.33/16.63 tff(4674,plain,
% 25.33/16.63 (~v115(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4673, 504, 4667])).
% 25.33/16.63 tff(4675,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v116(constB33)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v116(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4676,plain,
% 25.33/16.63 (((~v116(constB33)) | v115(constB33)) <=> (v115(constB33) | (~v116(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4677,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v116(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4676])).
% 25.33/16.63 tff(4678,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v116(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4677, 4675])).
% 25.33/16.63 tff(4679,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB33)) | v115(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4680,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v116(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 25.33/16.63 tff(4681,plain,
% 25.33/16.63 (~v116(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4680, 490, 4674])).
% 25.33/16.63 tff(4682,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v122(constB33)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v122(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4683,plain,
% 25.33/16.63 (((~v122(constB33)) | v116(constB33)) <=> (v116(constB33) | (~v122(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4684,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v122(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4683])).
% 25.33/16.63 tff(4685,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v122(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4684, 4682])).
% 25.33/16.63 tff(4686,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB33)) | v116(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4687,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v122(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4686, 4685])).
% 25.33/16.63 tff(4688,plain,
% 25.33/16.63 (~v122(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4687, 1465, 4681])).
% 25.33/16.63 tff(4689,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v117(constB33)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v117(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4690,plain,
% 25.33/16.63 (((~v117(constB33)) | v116(constB33)) <=> (v116(constB33) | (~v117(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4691,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB33) | (~v117(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4690])).
% 25.33/16.63 tff(4692,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB33)) | v116(constB33))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v117(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4691, 4689])).
% 25.33/16.63 tff(4693,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB33)) | v116(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4694,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB33) | (~v117(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4693, 4692])).
% 25.33/16.63 tff(4695,plain,
% 25.33/16.63 (~v117(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4694, 476, 4681])).
% 25.33/16.63 tff(4696,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v118(constB33)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v118(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4697,plain,
% 25.33/16.63 (((~v118(constB33)) | v117(constB33)) <=> (v117(constB33) | (~v118(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4698,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v118(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4697])).
% 25.33/16.63 tff(4699,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v118(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4698, 4696])).
% 25.33/16.63 tff(4700,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB33)) | v117(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4701,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v118(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 25.33/16.63 tff(4702,plain,
% 25.33/16.63 (~v118(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4701, 462, 4695])).
% 25.33/16.63 tff(4703,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB33) | (~v120(constB33)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v120(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4704,plain,
% 25.33/16.63 (((~v120(constB33)) | v118(constB33)) <=> (v118(constB33) | (~v120(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4705,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB33) | (~v120(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4704])).
% 25.33/16.63 tff(4706,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v120(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4705, 4703])).
% 25.33/16.63 tff(4707,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB33)) | v118(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4708,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v120(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 25.33/16.63 tff(4709,plain,
% 25.33/16.63 (~v120(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4708, 900, 4702])).
% 25.33/16.63 tff(4710,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v121(constB33)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v121(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4711,plain,
% 25.33/16.63 (((~v121(constB33)) | v117(constB33)) <=> (v117(constB33) | (~v121(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4712,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB33) | (~v121(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4711])).
% 25.33/16.63 tff(4713,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB33)) | v117(constB33))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v121(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4712, 4710])).
% 25.33/16.63 tff(4714,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB33)) | v117(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4715,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB33) | (~v121(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 25.33/16.63 tff(4716,plain,
% 25.33/16.63 (~v121(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4715, 1224, 4695])).
% 25.33/16.63 tff(4717,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB33) | (~v119(constB33)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v119(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4718,plain,
% 25.33/16.63 (((~v119(constB33)) | v118(constB33)) <=> (v118(constB33) | (~v119(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4719,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB33) | (~v119(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4718])).
% 25.33/16.63 tff(4720,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB33)) | v118(constB33))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v119(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4719, 4717])).
% 25.33/16.63 tff(4721,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB33)) | v118(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4722,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB33) | (~v119(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4721, 4720])).
% 25.33/16.63 tff(4723,plain,
% 25.33/16.63 (~v119(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4722, 451, 4702])).
% 25.33/16.63 tff(4724,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v125(constB33)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v125(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4725,plain,
% 25.33/16.63 (((~v125(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v125(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4726,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v125(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4725])).
% 25.33/16.63 tff(4727,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v125(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4726, 4724])).
% 25.33/16.63 tff(4728,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB33)) | v113(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4729,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v125(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 25.33/16.63 tff(4730,plain,
% 25.33/16.63 (~v125(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4729, 2215, 4660])).
% 25.33/16.63 tff(4731,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v123(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4732,plain,
% 25.33/16.63 (((~v123(constB33)) | v115(constB33)) <=> (v115(constB33) | (~v123(constB33)))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4733,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB33) | (~v123(constB33))))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4732])).
% 25.33/16.63 tff(4734,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v123(constB33)))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4733, 4731])).
% 25.33/16.63 tff(4735,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4736,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB33) | (~v123(constB33))),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 25.33/16.63 tff(4737,plain,
% 25.33/16.63 (~v123(constB33)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4736, 1784, 4674])).
% 25.33/16.63 tff(4738,assumption,(~v90(constB33, bitIndex0)), introduced(assumption)).
% 25.33/16.63 tff(4739,assumption,(~v121(constB33)), introduced(assumption)).
% 25.33/16.63 tff(4740,assumption,(~v119(constB33)), introduced(assumption)).
% 25.33/16.63 tff(4741,assumption,(~v90(constB33, bitIndex2)), introduced(assumption)).
% 25.33/16.63 tff(4742,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4743,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4744,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v121(constB33)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 25.33/16.63 tff(4745,plain,
% 25.33/16.63 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4744, 1213, 4739])).
% 25.33/16.63 tff(4746,plain,
% 25.33/16.63 (~v90(constB33, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4745, 4741, 4738])).
% 25.33/16.63 tff(4747,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4748,plain,
% 25.33/16.63 ((v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)) <=> (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4749,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33)))),
% 25.33/16.63 inference(monotonicity,[status(thm)],[4748])).
% 25.33/16.63 tff(4750,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33))),
% 25.33/16.63 inference(transitivity,[status(thm)],[4749, 4747])).
% 25.33/16.63 tff(4751,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB33, bitIndex0) | v119(constB33) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4752,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v119(constB33)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 25.33/16.63 tff(4753,plain,
% 25.33/16.63 (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4752, 437, 4740])).
% 25.33/16.63 tff(4754,plain,
% 25.33/16.63 ($false),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4753, 4746, 4741, 4738])).
% 25.33/16.63 tff(4755,plain,(v90(constB33, bitIndex2) | v90(constB33, bitIndex0) | v119(constB33) | v121(constB33)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.63 tff(4756,plain,
% 25.33/16.63 (v90(constB33, bitIndex2)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4755, 4738, 4740, 4739])).
% 25.33/16.63 tff(4757,assumption,(~v125(constB33)), introduced(assumption)).
% 25.33/16.63 tff(4758,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4759,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33))),
% 25.33/16.63 inference(quant_inst,[status(thm)],[])).
% 25.33/16.63 tff(4760,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2)) | v125(constB33)),
% 25.33/16.63 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 25.33/16.63 tff(4761,plain,
% 25.33/16.63 (v90(constB33, bitIndex0) | (~v90(constB33, bitIndex1)) | (~v90(constB33, bitIndex2))),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4760, 2204, 4757])).
% 25.33/16.63 tff(4762,plain,
% 25.33/16.63 (~v90(constB33, bitIndex1)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4761, 4756, 4738])).
% 25.33/16.63 tff(4763,plain,
% 25.33/16.63 ($false),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4612, 4762, 4756, 4738])).
% 25.33/16.63 tff(4764,plain,(v90(constB33, bitIndex0) | v123(constB33) | v125(constB33) | v119(constB33) | v121(constB33)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.63 tff(4765,plain,
% 25.33/16.63 (v90(constB33, bitIndex0)),
% 25.33/16.63 inference(unit_resolution,[status(thm)],[4764, 4737, 4730, 4723, 4716])).
% 25.33/16.63 tff(4766,assumption,(v90(constB33, bitIndex0)), introduced(assumption)).
% 25.33/16.63 tff(4767,assumption,(~v122(constB33)), introduced(assumption)).
% 25.33/16.63 tff(4768,plain,
% 25.33/16.63 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 25.33/16.63 inference(rewrite,[status(thm)],[])).
% 25.33/16.63 tff(4769,plain,
% 25.33/16.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33))),
% 25.33/16.64 inference(quant_inst,[status(thm)],[])).
% 25.33/16.64 tff(4770,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2) | v122(constB33)),
% 25.33/16.64 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 25.33/16.64 tff(4771,plain,
% 25.33/16.64 ((~v90(constB33, bitIndex0)) | (~v90(constB33, bitIndex1)) | v90(constB33, bitIndex2)),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4770, 1454, 4767])).
% 25.33/16.64 tff(4772,plain,
% 25.33/16.64 (~v90(constB33, bitIndex1)),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4771, 4741, 4766])).
% 25.33/16.64 tff(4773,assumption,(~v120(constB33)), introduced(assumption)).
% 25.33/16.64 tff(4774,plain,
% 25.33/16.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 25.33/16.64 inference(rewrite,[status(thm)],[])).
% 25.33/16.64 tff(4775,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33))),
% 25.33/16.64 inference(quant_inst,[status(thm)],[])).
% 25.33/16.64 tff(4776,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2) | v120(constB33)),
% 25.33/16.64 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 25.33/16.64 tff(4777,plain,
% 25.33/16.64 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | v90(constB33, bitIndex2)),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4776, 889, 4773])).
% 25.33/16.64 tff(4778,plain,
% 25.33/16.64 ($false),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4777, 4772, 4741, 4766])).
% 25.33/16.64 tff(4779,plain,(v90(constB33, bitIndex2) | (~v90(constB33, bitIndex0)) | v120(constB33) | v122(constB33)), inference(lemma,lemma(discharge,[]))).
% 25.33/16.64 tff(4780,plain,
% 25.33/16.64 (v90(constB33, bitIndex2)),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4779, 4765, 4709, 4688])).
% 25.33/16.64 tff(4781,plain,
% 25.33/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 25.33/16.64 inference(rewrite,[status(thm)],[])).
% 25.33/16.64 tff(4782,plain,
% 25.33/16.64 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 25.33/16.64 inference(rewrite,[status(thm)],[])).
% 25.33/16.64 tff(4783,plain,
% 25.33/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))))),
% 25.33/16.64 inference(monotonicity,[status(thm)],[4782])).
% 25.33/16.64 tff(4784,plain,
% 25.33/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 25.33/16.64 inference(transitivity,[status(thm)],[4783, 4781])).
% 25.33/16.64 tff(4785,plain,
% 25.33/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2)))),
% 25.33/16.64 inference(quant_inst,[status(thm)],[])).
% 25.33/16.64 tff(4786,plain,
% 25.33/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 25.33/16.64 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 25.33/16.64 tff(4787,plain,
% 25.33/16.64 (v90(constB32, bitIndex2) | v100(constB33) | (~v90(constB33, bitIndex2))),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4786, 374, 4535])).
% 25.33/16.64 tff(4788,plain,
% 25.33/16.64 (v90(constB32, bitIndex2) | (~v90(constB33, bitIndex2))),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4787, 4547])).
% 25.33/16.64 tff(4789,plain,
% 25.33/16.64 (v90(constB32, bitIndex2)),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4788, 4780])).
% 25.33/16.64 tff(4790,plain,
% 25.33/16.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v124(constB33)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v124(constB33)))),
% 25.33/16.64 inference(rewrite,[status(thm)],[])).
% 25.33/16.64 tff(4791,plain,
% 25.33/16.64 (((~v124(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v124(constB33)))),
% 25.33/16.64 inference(rewrite,[status(thm)],[])).
% 25.33/16.64 tff(4792,plain,
% 25.33/16.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v124(constB33))))),
% 25.33/16.64 inference(monotonicity,[status(thm)],[4791])).
% 25.33/16.64 tff(4793,plain,
% 25.33/16.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v124(constB33)))),
% 25.33/16.64 inference(transitivity,[status(thm)],[4792, 4790])).
% 25.33/16.64 tff(4794,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB33)) | v114(constB33))),
% 25.33/16.64 inference(quant_inst,[status(thm)],[])).
% 25.33/16.64 tff(4795,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v124(constB33))),
% 25.33/16.64 inference(modus_ponens,[status(thm)],[4794, 4793])).
% 25.33/16.64 tff(4796,plain,
% 25.33/16.64 (~v124(constB33)),
% 25.33/16.64 inference(unit_resolution,[status(thm)],[4795, 1986, 4667])).
% 25.33/16.64 tff(4797,plain,
% 25.33/16.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 25.33/16.64 inference(rewrite,[status(thm)],[])).
% 25.33/16.64 tff(4798,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33))),
% 25.33/16.64 inference(quant_inst,[status(thm)],[])).
% 25.33/16.64 tff(4799,plain,
% 25.33/16.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v124(constB33)),
% 25.33/16.64 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 25.37/16.64 tff(4800,plain,
% 25.37/16.64 ((~v90(constB33, bitIndex0)) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4799, 1975, 4796])).
% 25.37/16.64 tff(4801,plain,
% 25.37/16.64 (v90(constB33, bitIndex1)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4800, 4780, 4765])).
% 25.37/16.64 tff(4802,plain,
% 25.37/16.64 (v90(constB32, bitIndex1)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4573, 4801])).
% 25.37/16.64 tff(4803,plain,
% 25.37/16.64 (~v100(constB32)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4564, 4802])).
% 25.37/16.64 tff(4804,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4805,plain,
% 25.37/16.64 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))) <=> (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4806,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4805])).
% 25.37/16.64 tff(4807,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4806, 4804])).
% 25.37/16.64 tff(4808,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4809,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB31, bitIndex2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4808, 4807])).
% 25.37/16.64 tff(4810,plain,
% 25.37/16.64 (v90(constB31, bitIndex2) | v100(constB32) | (~v90(constB32, bitIndex2))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4809, 374, 4467])).
% 25.37/16.64 tff(4811,plain,
% 25.37/16.64 (v90(constB31, bitIndex2)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4810, 4803, 4789])).
% 25.37/16.64 tff(4812,plain,
% 25.37/16.64 (v90(constB30, bitIndex2)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4339, 4811])).
% 25.37/16.64 tff(4813,plain,
% 25.37/16.64 (v90(constB32, bitIndex0)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4607, 4765])).
% 25.37/16.64 tff(4814,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4815,plain,
% 25.37/16.64 (((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))) <=> (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4816,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4815])).
% 25.37/16.64 tff(4817,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4816, 4814])).
% 25.37/16.64 tff(4818,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4819,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB31, bitIndex0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4818, 4817])).
% 25.37/16.64 tff(4820,plain,
% 25.37/16.64 (v90(constB31, bitIndex0) | v100(constB32) | (~v90(constB32, bitIndex0))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4819, 416, 4467])).
% 25.37/16.64 tff(4821,plain,
% 25.37/16.64 (v90(constB31, bitIndex0)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4820, 4803, 4813])).
% 25.37/16.64 tff(4822,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4823,plain,
% 25.37/16.64 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4824,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4823])).
% 25.37/16.64 tff(4825,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4824, 4822])).
% 25.37/16.64 tff(4826,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4827,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4826, 4825])).
% 25.37/16.64 tff(4828,plain,
% 25.37/16.64 (v90(constB30, bitIndex0) | v100(constB31) | (~v90(constB31, bitIndex0))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4827, 416, 4288])).
% 25.37/16.64 tff(4829,plain,
% 25.37/16.64 (v90(constB30, bitIndex0) | (~v90(constB31, bitIndex0))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4828, 4300])).
% 25.37/16.64 tff(4830,plain,
% 25.37/16.64 (v90(constB30, bitIndex0)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4829, 4821])).
% 25.37/16.64 tff(4831,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4832,plain,
% 25.37/16.64 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))) <=> (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4833,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4832])).
% 25.37/16.64 tff(4834,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4833, 4831])).
% 25.37/16.64 tff(4835,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4836,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 25.37/16.64 tff(4837,plain,
% 25.37/16.64 (v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4836, 416, 4220])).
% 25.37/16.64 tff(4838,plain,
% 25.37/16.64 (v100(constB30)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4837, 4830, 4045])).
% 25.37/16.64 tff(4839,plain,
% 25.37/16.64 (v129(constB30, bitIndex2)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4329, 698, 4838, 4812])).
% 25.37/16.64 tff(4840,plain,
% 25.37/16.64 (v127(constB29, bitIndex2)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4325, 4839])).
% 25.37/16.64 tff(4841,assumption,(~v130(constB29, bitIndex2)), introduced(assumption)).
% 25.37/16.64 tff(4842,plain,
% 25.37/16.64 ((~v127(constB29, bitIndex2)) | v26(constB29)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4319, 665, 4841])).
% 25.37/16.64 tff(4843,plain,
% 25.37/16.64 (v26(constB29)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4842, 4840])).
% 25.37/16.64 tff(4844,plain,
% 25.37/16.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4845,plain,
% 25.37/16.64 (((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4846,plain,
% 25.37/16.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4845])).
% 25.37/16.64 tff(4847,plain,
% 25.37/16.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4846, 4844])).
% 25.37/16.64 tff(4848,plain,
% 25.37/16.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~v100(constB30)) | v129(constB30, bitIndex0))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4849,plain,
% 25.37/16.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | v129(constB30, bitIndex0) | (~v100(constB30))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 25.37/16.64 tff(4850,plain,
% 25.37/16.64 (v129(constB30, bitIndex0)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4849, 1186, 4838, 4830])).
% 25.37/16.64 tff(4851,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4852,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4853,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 25.37/16.64 tff(4854,plain,
% 25.37/16.64 (v127(constB29, bitIndex0) | (~v129(constB30, bitIndex0))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4853, 1171, 4220])).
% 25.37/16.64 tff(4855,plain,
% 25.37/16.64 (v127(constB29, bitIndex0)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4854, 4850])).
% 25.37/16.64 tff(4856,plain,
% 25.37/16.64 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 25.37/16.64 inference(bind,[status(th)],[])).
% 25.37/16.64 tff(4857,plain,
% 25.37/16.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 25.37/16.64 inference(quant_intro,[status(thm)],[4856])).
% 25.37/16.64 tff(4858,plain,
% 25.37/16.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4859,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 25.37/16.64 tff(4860,plain,
% 25.37/16.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 25.37/16.64 tff(4861,plain,(
% 25.37/16.64 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 25.37/16.64 inference(skolemize,[status(sab)],[4860])).
% 25.37/16.64 tff(4862,plain,
% 25.37/16.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4861, 4857])).
% 25.37/16.64 tff(4863,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4864,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB29)) | (~v127(constB29, bitIndex0)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4865,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB29)) | (~v127(constB29, bitIndex0))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4864, 4863])).
% 25.37/16.64 tff(4866,plain,
% 25.37/16.64 ($false),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4865, 4862, 4855, 4843])).
% 25.37/16.64 tff(4867,plain,(v113(constB33) | v130(constB29, bitIndex2) | v90(constB29, bitIndex0) | v129(constB32, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.64 tff(4868,plain,
% 25.37/16.64 (v113(constB33)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4867, 4659, 4044, 4313])).
% 25.37/16.64 tff(4869,assumption,(~v108(constB33)), introduced(assumption)).
% 25.37/16.64 tff(4870,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4871,plain,
% 25.37/16.64 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4872,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4871])).
% 25.37/16.64 tff(4873,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4872, 4870])).
% 25.37/16.64 tff(4874,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4875,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 25.37/16.64 tff(4876,plain,
% 25.37/16.64 (~v112(constB33)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4875, 544, 4869])).
% 25.37/16.64 tff(4877,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v26(constB33)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v26(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4878,plain,
% 25.37/16.64 (((~v26(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v26(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4879,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v26(constB33))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4878])).
% 25.37/16.64 tff(4880,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v26(constB33)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4879, 4877])).
% 25.37/16.64 tff(4881,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB33)) | v108(constB33))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4882,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v26(constB33))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4881, 4880])).
% 25.37/16.64 tff(4883,plain,
% 25.37/16.64 (~v26(constB33)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4882, 1770, 4869])).
% 25.37/16.64 tff(4884,assumption,(v113(constB33)), introduced(assumption)).
% 25.37/16.64 tff(4885,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4886,plain,
% 25.37/16.64 ((v26(constB33) | (~v113(constB33)) | v112(constB33)) <=> (v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4887,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | v112(constB33) | (~v113(constB33))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4886])).
% 25.37/16.64 tff(4888,plain,
% 25.37/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4887, 4885])).
% 25.37/16.64 tff(4889,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4890,plain,
% 25.37/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | v112(constB33) | (~v113(constB33))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 25.37/16.64 tff(4891,plain,
% 25.37/16.64 (v26(constB33) | v112(constB33)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4890, 532, 4884])).
% 25.37/16.64 tff(4892,plain,
% 25.37/16.64 ($false),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4891, 4883, 4876])).
% 25.37/16.64 tff(4893,plain,(v108(constB33) | (~v113(constB33))), inference(lemma,lemma(discharge,[]))).
% 25.37/16.64 tff(4894,plain,
% 25.37/16.64 (v108(constB33)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4893, 4868])).
% 25.37/16.64 tff(4895,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4896,plain,
% 25.37/16.64 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4897,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 25.37/16.64 inference(monotonicity,[status(thm)],[4896])).
% 25.37/16.64 tff(4898,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 25.37/16.64 inference(transitivity,[status(thm)],[4897, 4895])).
% 25.37/16.64 tff(4899,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4900,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 25.37/16.64 tff(4901,plain,
% 25.37/16.64 (v110(constB34) | (~v108(constB33))),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4900, 564, 4651])).
% 25.37/16.64 tff(4902,plain,
% 25.37/16.64 (v110(constB34)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4901, 4894])).
% 25.37/16.64 tff(4903,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4904,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 25.37/16.64 inference(quant_inst,[status(thm)],[])).
% 25.37/16.64 tff(4905,plain,
% 25.37/16.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 25.37/16.64 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 25.37/16.64 tff(4906,plain,
% 25.37/16.64 (~v104(constB34)),
% 25.37/16.64 inference(unit_resolution,[status(thm)],[4905, 582, 4651, 4532])).
% 25.37/16.64 tff(4907,plain,
% 25.37/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.64 tff(4908,plain,
% 25.37/16.64 (((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 25.37/16.64 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4909,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4908])).
% 25.37/16.65 tff(4910,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4909, 4907])).
% 25.37/16.65 tff(4911,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4912,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | v102(constB34)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 25.37/16.65 tff(4913,plain,
% 25.37/16.65 (v104(constB34) | v102(constB34)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4912, 596, 4651])).
% 25.37/16.65 tff(4914,plain,
% 25.37/16.65 (v102(constB34)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4913, 4906])).
% 25.37/16.65 tff(4915,plain,
% 25.37/16.65 (v1(constB34) <=> v1(constB34)),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4916,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 25.37/16.65 tff(4917,plain,
% 25.37/16.65 (v1(constB34)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4916, 4915])).
% 25.37/16.65 tff(4918,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4919,plain,
% 25.37/16.65 (((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))) <=> ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4920,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4919])).
% 25.37/16.65 tff(4921,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4920, 4918])).
% 25.37/16.65 tff(4922,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4923,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | (~v1(constB34)) | v101(constB34) | (~v102(constB34))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 25.37/16.65 tff(4924,plain,
% 25.37/16.65 (v101(constB34) | (~v102(constB34))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4923, 617, 4651, 4917])).
% 25.37/16.65 tff(4925,plain,
% 25.37/16.65 (v101(constB34)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4924, 4914])).
% 25.37/16.65 tff(4926,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4927,plain,
% 25.37/16.65 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4928,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4927])).
% 25.37/16.65 tff(4929,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4928, 4926])).
% 25.37/16.65 tff(4930,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4931,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 25.37/16.65 tff(4932,plain,
% 25.37/16.65 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4931, 635, 4651])).
% 25.37/16.65 tff(4933,plain,
% 25.37/16.65 (v100(constB34) | (~v110(constB34))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4932, 4925])).
% 25.37/16.65 tff(4934,plain,
% 25.37/16.65 (v100(constB34)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4933, 4902])).
% 25.37/16.65 tff(4935,plain,
% 25.37/16.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4936,plain,
% 25.37/16.65 ((v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4937,plain,
% 25.37/16.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4936])).
% 25.37/16.65 tff(4938,plain,
% 25.37/16.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4937, 4935])).
% 25.37/16.65 tff(4939,plain,
% 25.37/16.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4940,plain,
% 25.37/16.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 25.37/16.65 tff(4941,plain,
% 25.37/16.65 (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4940, 852, 4934])).
% 25.37/16.65 tff(4942,plain,
% 25.37/16.65 (v90(constB34, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4941, 4656])).
% 25.37/16.65 tff(4943,plain,
% 25.37/16.65 ((~v1(constB35)) <=> (~v1(constB35))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4944,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 25.37/16.65 tff(4945,plain,
% 25.37/16.65 (~v1(constB35)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4944, 4943])).
% 25.37/16.65 tff(4946,plain,
% 25.37/16.65 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4947,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 25.37/16.65 tff(4948,plain,
% 25.37/16.65 (nextState(constB34, constB35)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4947, 4946])).
% 25.37/16.65 tff(4949,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4950,plain,
% 25.37/16.65 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4951,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4950])).
% 25.37/16.65 tff(4952,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4951, 4949])).
% 25.37/16.65 tff(4953,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4954,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 25.37/16.65 tff(4955,plain,
% 25.37/16.65 (~v101(constB35)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4954, 342, 4948, 4945])).
% 25.37/16.65 tff(4956,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4957,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4958,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 25.37/16.65 tff(4959,plain,
% 25.37/16.65 (v101(constB35) | (~v100(constB35))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4958, 359, 4948])).
% 25.37/16.65 tff(4960,plain,
% 25.37/16.65 (~v100(constB35)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4959, 4955])).
% 25.37/16.65 tff(4961,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4962,plain,
% 25.37/16.65 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4963,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4962])).
% 25.37/16.65 tff(4964,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4963, 4961])).
% 25.37/16.65 tff(4965,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4966,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 25.37/16.65 tff(4967,plain,
% 25.37/16.65 ((~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4966, 870, 4948])).
% 25.37/16.65 tff(4968,plain,
% 25.37/16.65 ((~v90(constB34, bitIndex0)) | v90(constB35, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4967, 4960])).
% 25.37/16.65 tff(4969,plain,
% 25.37/16.65 (v90(constB35, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4968, 4942])).
% 25.37/16.65 tff(4970,plain,
% 25.37/16.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4971,plain,
% 25.37/16.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4972,plain,
% 25.37/16.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 25.37/16.65 tff(4973,plain,
% 25.37/16.65 (~v130(constB33, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4972, 1893, 4635])).
% 25.37/16.65 tff(4974,plain,
% 25.37/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4975,plain,
% 25.37/16.65 ((v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1))) <=> ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4976,plain,
% 25.37/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4975])).
% 25.37/16.65 tff(4977,plain,
% 25.37/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4976, 4974])).
% 25.37/16.65 tff(4978,plain,
% 25.37/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4979,plain,
% 25.37/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4978, 4977])).
% 25.37/16.65 tff(4980,plain,
% 25.37/16.65 ((~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4979, 751, 4643])).
% 25.37/16.65 tff(4981,plain,
% 25.37/16.65 (~v127(constB33, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4980, 4973])).
% 25.37/16.65 tff(4982,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4983,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4984,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4983, 4982])).
% 25.37/16.65 tff(4985,plain,
% 25.37/16.65 (v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4984, 769, 4651])).
% 25.37/16.65 tff(4986,plain,
% 25.37/16.65 (~v129(constB34, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4985, 4981])).
% 25.37/16.65 tff(4987,plain,
% 25.37/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4988,plain,
% 25.37/16.65 (((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4989,plain,
% 25.37/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4988])).
% 25.37/16.65 tff(4990,plain,
% 25.37/16.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4989, 4987])).
% 25.37/16.65 tff(4991,plain,
% 25.37/16.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(4992,plain,
% 25.37/16.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4991, 4990])).
% 25.37/16.65 tff(4993,plain,
% 25.37/16.65 ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4992, 784, 4934])).
% 25.37/16.65 tff(4994,plain,
% 25.37/16.65 (~v90(constB34, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4993, 4986])).
% 25.37/16.65 tff(4995,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4996,plain,
% 25.37/16.65 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(4997,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[4996])).
% 25.37/16.65 tff(4998,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[4997, 4995])).
% 25.37/16.65 tff(4999,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(5000,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 25.37/16.65 tff(5001,plain,
% 25.37/16.65 (v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5000, 395, 4948])).
% 25.37/16.65 tff(5002,plain,
% 25.37/16.65 (v90(constB34, bitIndex1) | (~v90(constB35, bitIndex1))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5001, 4960])).
% 25.37/16.65 tff(5003,plain,
% 25.37/16.65 (~v90(constB35, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5002, 4994])).
% 25.37/16.65 tff(5004,plain,
% 25.37/16.65 (v121(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4171, 4369, 4360, 4356])).
% 25.37/16.65 tff(5005,plain,
% 25.37/16.65 (~v130(constB29, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4312, 1325, 5004])).
% 25.37/16.65 tff(5006,plain,
% 25.37/16.65 (v117(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4175, 1224, 5004])).
% 25.37/16.65 tff(5007,plain,
% 25.37/16.65 (v116(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4182, 476, 5006])).
% 25.37/16.65 tff(5008,plain,
% 25.37/16.65 (v115(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4186, 490, 5007])).
% 25.37/16.65 tff(5009,plain,
% 25.37/16.65 (v114(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4190, 504, 5008])).
% 25.37/16.65 tff(5010,plain,
% 25.37/16.65 (v113(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4197, 518, 5009])).
% 25.37/16.65 tff(5011,plain,
% 25.37/16.65 (v112(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4209, 5010])).
% 25.37/16.65 tff(5012,plain,
% 25.37/16.65 (v108(constB29)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4216, 544, 5011])).
% 25.37/16.65 tff(5013,plain,
% 25.37/16.65 (v110(constB30)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4227, 5012])).
% 25.37/16.65 tff(5014,plain,
% 25.37/16.65 (v100(constB30)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4259, 5013])).
% 25.37/16.65 tff(5015,plain,
% 25.37/16.65 (v130(constB29, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4263, 1413, 5004])).
% 25.37/16.65 tff(5016,plain,
% 25.37/16.65 (v127(constB29, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4268, 5015])).
% 25.37/16.65 tff(5017,plain,
% 25.37/16.65 (v129(constB30, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4273, 5016])).
% 25.37/16.65 tff(5018,plain,
% 25.37/16.65 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4280, 852, 5017])).
% 25.37/16.65 tff(5019,plain,
% 25.37/16.65 (v90(constB30, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5018, 5014])).
% 25.37/16.65 tff(5020,plain,
% 25.37/16.65 (v90(constB31, bitIndex0)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4308, 5019])).
% 25.37/16.65 tff(5021,plain,
% 25.37/16.65 (~v127(constB29, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4320, 5005])).
% 25.37/16.65 tff(5022,plain,
% 25.37/16.65 (~v129(constB30, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4325, 5021])).
% 25.37/16.65 tff(5023,plain,
% 25.37/16.65 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4329, 698, 5022])).
% 25.37/16.65 tff(5024,plain,
% 25.37/16.65 (~v90(constB30, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5023, 5014])).
% 25.37/16.65 tff(5025,plain,
% 25.37/16.65 (~v90(constB31, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4339, 5024])).
% 25.37/16.65 tff(5026,plain,
% 25.37/16.65 (v90(constB30, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4402, 4341])).
% 25.37/16.65 tff(5027,plain,
% 25.37/16.65 (v90(constB31, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4411, 5026])).
% 25.37/16.65 tff(5028,plain,
% 25.37/16.65 ((~v90(constB31, bitIndex0)) | v90(constB31, bitIndex2) | v122(constB31)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4415, 1454, 5027])).
% 25.37/16.65 tff(5029,plain,
% 25.37/16.65 (v122(constB31)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5028, 5025, 5020])).
% 25.37/16.65 tff(5030,plain,
% 25.37/16.65 (~v130(constB31, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4632, 1642, 5029])).
% 25.37/16.65 tff(5031,plain,
% 25.37/16.65 (~v127(constB31, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4628, 5030])).
% 25.37/16.65 tff(5032,plain,
% 25.37/16.65 (~v129(constB32, bitIndex1)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4620, 5031])).
% 25.37/16.65 tff(5033,plain,
% 25.37/16.65 (v113(constB33)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4867, 5032, 4369, 5005])).
% 25.37/16.65 tff(5034,plain,
% 25.37/16.65 (v108(constB33)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4893, 5033])).
% 25.37/16.65 tff(5035,plain,
% 25.37/16.65 (v110(constB34)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4901, 5034])).
% 25.37/16.65 tff(5036,plain,
% 25.37/16.65 (v100(constB34)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[4933, 5035])).
% 25.37/16.65 tff(5037,assumption,(~v90(constB34, bitIndex2)), introduced(assumption)).
% 25.37/16.65 tff(5038,plain,
% 25.37/16.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(5039,plain,
% 25.37/16.65 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(5040,plain,
% 25.37/16.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 25.37/16.65 inference(monotonicity,[status(thm)],[5039])).
% 25.37/16.65 tff(5041,plain,
% 25.37/16.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 25.37/16.65 inference(transitivity,[status(thm)],[5040, 5038])).
% 25.37/16.65 tff(5042,plain,
% 25.37/16.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(5043,plain,
% 25.37/16.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[5042, 5041])).
% 25.37/16.65 tff(5044,plain,
% 25.37/16.65 ((~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5043, 1590, 5037])).
% 25.37/16.65 tff(5045,plain,
% 25.37/16.65 (~v129(constB34, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5044, 5036])).
% 25.37/16.65 tff(5046,plain,
% 25.37/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 25.37/16.65 inference(rewrite,[status(thm)],[])).
% 25.37/16.65 tff(5047,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 25.37/16.65 inference(quant_inst,[status(thm)],[])).
% 25.37/16.65 tff(5048,plain,
% 25.37/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 25.37/16.65 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 25.37/16.65 tff(5049,plain,
% 25.37/16.65 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5048, 1575, 4651])).
% 25.37/16.65 tff(5050,plain,
% 25.37/16.65 (~v127(constB33, bitIndex2)),
% 25.37/16.65 inference(unit_resolution,[status(thm)],[5049, 5045])).
% 25.37/16.65 tff(5051,plain,
% 25.37/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5052,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5053,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 25.37/16.66 tff(5054,plain,
% 25.37/16.66 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5053, 1560, 4643])).
% 25.37/16.66 tff(5055,plain,
% 25.37/16.66 (~v130(constB33, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5054, 5050])).
% 25.37/16.66 tff(5056,plain,
% 25.37/16.66 (v123(constB33)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[4634, 5029])).
% 25.37/16.66 tff(5057,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5058,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5059,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5058, 5057])).
% 25.37/16.66 tff(5060,plain,
% 25.37/16.66 ($false),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5059, 1738, 5056, 5055])).
% 25.37/16.66 tff(5061,plain,((~v120(constB27)) | v90(constB34, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.66 tff(5062,plain,
% 25.37/16.66 (v90(constB34, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5061, 3864])).
% 25.37/16.66 tff(5063,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5064,plain,
% 25.37/16.66 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5065,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5064])).
% 25.37/16.66 tff(5066,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5065, 5063])).
% 25.37/16.66 tff(5067,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5068,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5067, 5066])).
% 25.37/16.66 tff(5069,plain,
% 25.37/16.66 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5068, 1626, 4948])).
% 25.37/16.66 tff(5070,plain,
% 25.37/16.66 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5069, 4960])).
% 25.37/16.66 tff(5071,plain,
% 25.37/16.66 (v90(constB35, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5070, 5062])).
% 25.37/16.66 tff(5072,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5073,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5074,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 25.37/16.66 tff(5075,plain,
% 25.37/16.66 ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | v124(constB35)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5074, 1975, 5071])).
% 25.37/16.66 tff(5076,plain,
% 25.37/16.66 (v124(constB35)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5075, 5003, 4969])).
% 25.37/16.66 tff(5077,assumption,(~v120(constB39)), introduced(assumption)).
% 25.37/16.66 tff(5078,assumption,(v124(constB35)), introduced(assumption)).
% 25.37/16.66 tff(5079,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5080,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5081,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5080, 5079])).
% 25.37/16.66 tff(5082,plain,
% 25.37/16.66 (v114(constB35)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5081, 1986, 5078])).
% 25.37/16.66 tff(5083,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5084,plain,
% 25.37/16.66 (((~v114(constB35)) | v113(constB35)) <=> (v113(constB35) | (~v114(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5085,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5084])).
% 25.37/16.66 tff(5086,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5085, 5083])).
% 25.37/16.66 tff(5087,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5088,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 25.37/16.66 tff(5089,plain,
% 25.37/16.66 (v113(constB35)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5088, 518, 5082])).
% 25.37/16.66 tff(5090,assumption,(v26(constB35)), introduced(assumption)).
% 25.37/16.66 tff(5091,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5092,plain,
% 25.37/16.66 ($false),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5091, 120, 5090])).
% 25.37/16.66 tff(5093,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.66 tff(5094,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5095,plain,
% 25.37/16.66 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5096,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5095])).
% 25.37/16.66 tff(5097,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5096, 5094])).
% 25.37/16.66 tff(5098,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5099,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5098, 5097])).
% 25.37/16.66 tff(5100,plain,
% 25.37/16.66 (v112(constB35) | (~v113(constB35))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5099, 532, 5093])).
% 25.37/16.66 tff(5101,plain,
% 25.37/16.66 (v112(constB35)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5100, 5089])).
% 25.37/16.66 tff(5102,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5103,plain,
% 25.37/16.66 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5104,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5103])).
% 25.37/16.66 tff(5105,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5104, 5102])).
% 25.37/16.66 tff(5106,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5107,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 25.37/16.66 tff(5108,plain,
% 25.37/16.66 (v108(constB35)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5107, 544, 5101])).
% 25.37/16.66 tff(5109,plain,
% 25.37/16.66 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5110,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 25.37/16.66 tff(5111,plain,
% 25.37/16.66 (nextState(constB35, constB36)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 25.37/16.66 tff(5112,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5113,plain,
% 25.37/16.66 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5114,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5113])).
% 25.37/16.66 tff(5115,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5114, 5112])).
% 25.37/16.66 tff(5116,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5117,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5116, 5115])).
% 25.37/16.66 tff(5118,plain,
% 25.37/16.66 (v110(constB36) | (~v108(constB35))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5117, 564, 5111])).
% 25.37/16.66 tff(5119,plain,
% 25.37/16.66 (v110(constB36)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5118, 5108])).
% 25.37/16.66 tff(5120,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5121,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5122,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5121, 5120])).
% 25.37/16.66 tff(5123,plain,
% 25.37/16.66 (~v104(constB36)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5122, 582, 5111, 4945])).
% 25.37/16.66 tff(5124,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5125,plain,
% 25.37/16.66 (((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5126,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5125])).
% 25.37/16.66 tff(5127,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5126, 5124])).
% 25.37/16.66 tff(5128,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5129,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | v102(constB36)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 25.37/16.66 tff(5130,plain,
% 25.37/16.66 (v104(constB36) | v102(constB36)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5129, 596, 5111])).
% 25.37/16.66 tff(5131,plain,
% 25.37/16.66 (v102(constB36)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5130, 5123])).
% 25.37/16.66 tff(5132,plain,
% 25.37/16.66 (v1(constB36) <=> v1(constB36)),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5133,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 25.37/16.66 tff(5134,plain,
% 25.37/16.66 (v1(constB36)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5133, 5132])).
% 25.37/16.66 tff(5135,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5136,plain,
% 25.37/16.66 (((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))) <=> ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5137,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5136])).
% 25.37/16.66 tff(5138,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5137, 5135])).
% 25.37/16.66 tff(5139,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5140,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | (~v1(constB36)) | v101(constB36) | (~v102(constB36))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 25.37/16.66 tff(5141,plain,
% 25.37/16.66 (v101(constB36) | (~v102(constB36))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5140, 617, 5111, 5134])).
% 25.37/16.66 tff(5142,plain,
% 25.37/16.66 (v101(constB36)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5141, 5131])).
% 25.37/16.66 tff(5143,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5144,plain,
% 25.37/16.66 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5145,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5144])).
% 25.37/16.66 tff(5146,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5145, 5143])).
% 25.37/16.66 tff(5147,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5148,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 25.37/16.66 tff(5149,plain,
% 25.37/16.66 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5148, 635, 5111])).
% 25.37/16.66 tff(5150,plain,
% 25.37/16.66 (v100(constB36) | (~v110(constB36))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5149, 5142])).
% 25.37/16.66 tff(5151,plain,
% 25.37/16.66 (v100(constB36)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5150, 5119])).
% 25.37/16.66 tff(5152,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5153,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5154,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5153, 5152])).
% 25.37/16.66 tff(5155,plain,
% 25.37/16.66 (v130(constB35, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5154, 2066, 5078])).
% 25.37/16.66 tff(5156,plain,
% 25.37/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5157,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5158,plain,
% 25.37/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 25.37/16.66 tff(5159,plain,
% 25.37/16.66 ((~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5158, 1560, 5093])).
% 25.37/16.66 tff(5160,plain,
% 25.37/16.66 (v127(constB35, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5159, 5155])).
% 25.37/16.66 tff(5161,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5162,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5163,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 25.37/16.66 tff(5164,plain,
% 25.37/16.66 ((~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5163, 1575, 5111])).
% 25.37/16.66 tff(5165,plain,
% 25.37/16.66 (v129(constB36, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5164, 5160])).
% 25.37/16.66 tff(5166,plain,
% 25.37/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5167,plain,
% 25.37/16.66 ((v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5168,plain,
% 25.37/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5167])).
% 25.37/16.66 tff(5169,plain,
% 25.37/16.66 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5168, 5166])).
% 25.37/16.66 tff(5170,plain,
% 25.37/16.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5171,plain,
% 25.37/16.66 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5170, 5169])).
% 25.37/16.66 tff(5172,plain,
% 25.37/16.66 (v90(constB36, bitIndex2) | (~v100(constB36))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5171, 1590, 5165])).
% 25.37/16.66 tff(5173,plain,
% 25.37/16.66 (v90(constB36, bitIndex2)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5172, 5151])).
% 25.37/16.66 tff(5174,plain,
% 25.37/16.66 ((~v1(constB37)) <=> (~v1(constB37))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5175,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 25.37/16.66 tff(5176,plain,
% 25.37/16.66 (~v1(constB37)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5175, 5174])).
% 25.37/16.66 tff(5177,plain,
% 25.37/16.66 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5178,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 25.37/16.66 tff(5179,plain,
% 25.37/16.66 (nextState(constB36, constB37)),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5178, 5177])).
% 25.37/16.66 tff(5180,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5181,plain,
% 25.37/16.66 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5182,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 25.37/16.66 inference(monotonicity,[status(thm)],[5181])).
% 25.37/16.66 tff(5183,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 25.37/16.66 inference(transitivity,[status(thm)],[5182, 5180])).
% 25.37/16.66 tff(5184,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5185,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 25.37/16.66 tff(5186,plain,
% 25.37/16.66 (~v101(constB37)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5185, 342, 5179, 5176])).
% 25.37/16.66 tff(5187,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 25.37/16.66 inference(rewrite,[status(thm)],[])).
% 25.37/16.66 tff(5188,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 25.37/16.66 inference(quant_inst,[status(thm)],[])).
% 25.37/16.66 tff(5189,plain,
% 25.37/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 25.37/16.66 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 25.37/16.66 tff(5190,plain,
% 25.37/16.66 (v101(constB37) | (~v100(constB37))),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5189, 359, 5179])).
% 25.37/16.66 tff(5191,plain,
% 25.37/16.66 (~v100(constB37)),
% 25.37/16.66 inference(unit_resolution,[status(thm)],[5190, 5186])).
% 25.37/16.66 tff(5192,plain,
% 25.37/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5193,plain,
% 25.37/16.67 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5194,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5193])).
% 25.37/16.67 tff(5195,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5194, 5192])).
% 25.37/16.67 tff(5196,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5197,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 25.37/16.67 tff(5198,plain,
% 25.37/16.67 ((~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5197, 1626, 5179])).
% 25.37/16.67 tff(5199,plain,
% 25.37/16.67 ((~v90(constB36, bitIndex2)) | v90(constB37, bitIndex2)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5198, 5191])).
% 25.37/16.67 tff(5200,plain,
% 25.37/16.67 (v90(constB37, bitIndex2)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5199, 5173])).
% 25.37/16.67 tff(5201,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5202,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5203,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 25.37/16.67 tff(5204,plain,
% 25.37/16.67 (v130(constB35, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5203, 2122, 5078])).
% 25.37/16.67 tff(5205,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5206,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5207,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5206, 5205])).
% 25.37/16.67 tff(5208,plain,
% 25.37/16.67 ((~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5207, 1075, 5093])).
% 25.37/16.67 tff(5209,plain,
% 25.37/16.67 (v127(constB35, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5208, 5204])).
% 25.37/16.67 tff(5210,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5211,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5212,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 25.37/16.67 tff(5213,plain,
% 25.37/16.67 ((~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5212, 1090, 5111])).
% 25.37/16.67 tff(5214,plain,
% 25.37/16.67 (v129(constB36, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5213, 5209])).
% 25.37/16.67 tff(5215,plain,
% 25.37/16.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5216,plain,
% 25.37/16.67 ((v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5217,plain,
% 25.37/16.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5216])).
% 25.37/16.67 tff(5218,plain,
% 25.37/16.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5217, 5215])).
% 25.37/16.67 tff(5219,plain,
% 25.37/16.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5220,plain,
% 25.37/16.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 25.37/16.67 tff(5221,plain,
% 25.37/16.67 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5220, 1105, 5214])).
% 25.37/16.67 tff(5222,plain,
% 25.37/16.67 (v90(constB36, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5221, 5151])).
% 25.37/16.67 tff(5223,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5224,plain,
% 25.37/16.67 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5225,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5224])).
% 25.37/16.67 tff(5226,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5225, 5223])).
% 25.37/16.67 tff(5227,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5228,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 25.37/16.67 tff(5229,plain,
% 25.37/16.67 ((~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5228, 1123, 5179])).
% 25.37/16.67 tff(5230,plain,
% 25.37/16.67 ((~v90(constB36, bitIndex1)) | v90(constB37, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5229, 5191])).
% 25.37/16.67 tff(5231,plain,
% 25.37/16.67 (v90(constB37, bitIndex1)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5230, 5222])).
% 25.37/16.67 tff(5232,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5233,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5234,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 25.37/16.67 tff(5235,plain,
% 25.37/16.67 (~v130(constB35, bitIndex0)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5234, 2160, 5078])).
% 25.37/16.67 tff(5236,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5237,plain,
% 25.37/16.67 ((v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0))) <=> ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5238,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5237])).
% 25.37/16.67 tff(5239,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5238, 5236])).
% 25.37/16.67 tff(5240,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5241,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 25.37/16.67 tff(5242,plain,
% 25.37/16.67 ((~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5241, 1153, 5093])).
% 25.37/16.67 tff(5243,plain,
% 25.37/16.67 (~v127(constB35, bitIndex0)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5242, 5235])).
% 25.37/16.67 tff(5244,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5245,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5246,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5245, 5244])).
% 25.37/16.67 tff(5247,plain,
% 25.37/16.67 (v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5246, 1171, 5111])).
% 25.37/16.67 tff(5248,plain,
% 25.37/16.67 (~v129(constB36, bitIndex0)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5247, 5243])).
% 25.37/16.67 tff(5249,plain,
% 25.37/16.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5250,plain,
% 25.37/16.67 (((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5251,plain,
% 25.37/16.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5250])).
% 25.37/16.67 tff(5252,plain,
% 25.37/16.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5251, 5249])).
% 25.37/16.67 tff(5253,plain,
% 25.37/16.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5254,plain,
% 25.37/16.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5253, 5252])).
% 25.37/16.67 tff(5255,plain,
% 25.37/16.67 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5254, 1186, 5248])).
% 25.37/16.67 tff(5256,plain,
% 25.37/16.67 (~v90(constB36, bitIndex0)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5255, 5151])).
% 25.37/16.67 tff(5257,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5258,plain,
% 25.37/16.67 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5259,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5258])).
% 25.37/16.67 tff(5260,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5259, 5257])).
% 25.37/16.67 tff(5261,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5262,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5261, 5260])).
% 25.37/16.67 tff(5263,plain,
% 25.37/16.67 (v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5262, 416, 5179])).
% 25.37/16.67 tff(5264,plain,
% 25.37/16.67 (v90(constB36, bitIndex0) | (~v90(constB37, bitIndex0))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5263, 5191])).
% 25.37/16.67 tff(5265,plain,
% 25.37/16.67 (~v90(constB37, bitIndex0)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5264, 5256])).
% 25.37/16.67 tff(5266,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5267,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5268,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 25.37/16.67 tff(5269,plain,
% 25.37/16.67 (v125(constB37)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5268, 2204, 5265, 5231, 5200])).
% 25.37/16.67 tff(5270,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5271,plain,
% 25.37/16.67 (((~v125(constB37)) | v113(constB37)) <=> (v113(constB37) | (~v125(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5272,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v125(constB37))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5271])).
% 25.37/16.67 tff(5273,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5272, 5270])).
% 25.37/16.67 tff(5274,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5275,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 25.37/16.67 tff(5276,plain,
% 25.37/16.67 (v113(constB37)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5275, 2215, 5269])).
% 25.37/16.67 tff(5277,assumption,(v26(constB37)), introduced(assumption)).
% 25.37/16.67 tff(5278,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5279,plain,
% 25.37/16.67 ($false),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5278, 120, 5277])).
% 25.37/16.67 tff(5280,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.67 tff(5281,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5282,plain,
% 25.37/16.67 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5283,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5282])).
% 25.37/16.67 tff(5284,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5283, 5281])).
% 25.37/16.67 tff(5285,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5286,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 25.37/16.67 tff(5287,plain,
% 25.37/16.67 (v112(constB37) | (~v113(constB37))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5286, 532, 5280])).
% 25.37/16.67 tff(5288,plain,
% 25.37/16.67 (v112(constB37)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5287, 5276])).
% 25.37/16.67 tff(5289,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5290,plain,
% 25.37/16.67 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5291,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5290])).
% 25.37/16.67 tff(5292,plain,
% 25.37/16.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5291, 5289])).
% 25.37/16.67 tff(5293,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5294,plain,
% 25.37/16.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 25.37/16.67 tff(5295,plain,
% 25.37/16.67 (v108(constB37)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5294, 544, 5288])).
% 25.37/16.67 tff(5296,plain,
% 25.37/16.67 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5297,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 25.37/16.67 tff(5298,plain,
% 25.37/16.67 (nextState(constB37, constB38)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 25.37/16.67 tff(5299,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5300,plain,
% 25.37/16.67 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5301,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5300])).
% 25.37/16.67 tff(5302,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5301, 5299])).
% 25.37/16.67 tff(5303,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5304,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 25.37/16.67 tff(5305,plain,
% 25.37/16.67 (v110(constB38) | (~v108(constB37))),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5304, 564, 5298])).
% 25.37/16.67 tff(5306,plain,
% 25.37/16.67 (v110(constB38)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5305, 5295])).
% 25.37/16.67 tff(5307,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5308,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5309,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5308, 5307])).
% 25.37/16.67 tff(5310,plain,
% 25.37/16.67 (~v104(constB38)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5309, 582, 5298, 5176])).
% 25.37/16.67 tff(5311,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5312,plain,
% 25.37/16.67 (((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5313,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5312])).
% 25.37/16.67 tff(5314,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5313, 5311])).
% 25.37/16.67 tff(5315,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5316,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | v102(constB38)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5315, 5314])).
% 25.37/16.67 tff(5317,plain,
% 25.37/16.67 (v104(constB38) | v102(constB38)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5316, 596, 5298])).
% 25.37/16.67 tff(5318,plain,
% 25.37/16.67 (v102(constB38)),
% 25.37/16.67 inference(unit_resolution,[status(thm)],[5317, 5310])).
% 25.37/16.67 tff(5319,plain,
% 25.37/16.67 (v1(constB38) <=> v1(constB38)),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5320,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 25.37/16.67 tff(5321,plain,
% 25.37/16.67 (v1(constB38)),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 25.37/16.67 tff(5322,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5323,plain,
% 25.37/16.67 (((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))) <=> ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 25.37/16.67 inference(rewrite,[status(thm)],[])).
% 25.37/16.67 tff(5324,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))))),
% 25.37/16.67 inference(monotonicity,[status(thm)],[5323])).
% 25.37/16.67 tff(5325,plain,
% 25.37/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38)))),
% 25.37/16.67 inference(transitivity,[status(thm)],[5324, 5322])).
% 25.37/16.67 tff(5326,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 25.37/16.67 inference(quant_inst,[status(thm)],[])).
% 25.37/16.67 tff(5327,plain,
% 25.37/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | (~v1(constB38)) | v101(constB38) | (~v102(constB38))),
% 25.37/16.67 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 25.37/16.67 tff(5328,plain,
% 25.37/16.67 (v101(constB38) | (~v102(constB38))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5327, 617, 5298, 5321])).
% 25.37/16.68 tff(5329,plain,
% 25.37/16.68 (v101(constB38)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5328, 5318])).
% 25.37/16.68 tff(5330,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5331,plain,
% 25.37/16.68 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5332,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5331])).
% 25.37/16.68 tff(5333,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5332, 5330])).
% 25.37/16.68 tff(5334,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5335,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5334, 5333])).
% 25.37/16.68 tff(5336,plain,
% 25.37/16.68 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5335, 635, 5298])).
% 25.37/16.68 tff(5337,plain,
% 25.37/16.68 (v100(constB38) | (~v110(constB38))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5336, 5329])).
% 25.37/16.68 tff(5338,plain,
% 25.37/16.68 (v100(constB38)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5337, 5306])).
% 25.37/16.68 tff(5339,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB37)) | (~v90(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB37)) | (~v90(constB37, bitIndex2)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5340,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB37)) | (~v90(constB37, bitIndex2)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5341,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB37)) | (~v90(constB37, bitIndex2))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 25.37/16.68 tff(5342,plain,
% 25.37/16.68 (~v122(constB37)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5341, 2298, 5200])).
% 25.37/16.68 tff(5343,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB37)) | (~v90(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB37)) | (~v90(constB37, bitIndex2)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5344,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB37)) | (~v90(constB37, bitIndex2)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5345,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB37)) | (~v90(constB37, bitIndex2))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 25.37/16.68 tff(5346,plain,
% 25.37/16.68 (~v121(constB37)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5345, 2287, 5200])).
% 25.37/16.68 tff(5347,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5348,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5349,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB37)) | (~v90(constB37, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 25.37/16.68 tff(5350,plain,
% 25.37/16.68 (~v120(constB37)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5349, 2320, 5231])).
% 25.37/16.68 tff(5351,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5352,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5353,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 25.37/16.68 tff(5354,plain,
% 25.37/16.68 (~v119(constB37)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5353, 2309, 5231])).
% 25.37/16.68 tff(5355,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5356,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5357,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB37)) | (~v90(constB37, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5356, 5355])).
% 25.37/16.68 tff(5358,plain,
% 25.37/16.68 (~v124(constB37)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5357, 2342, 5231])).
% 25.37/16.68 tff(5359,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5360,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB37)) | (~v90(constB37, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5361,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB37)) | (~v90(constB37, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5360, 5359])).
% 25.37/16.68 tff(5362,plain,
% 25.37/16.68 (~v123(constB37)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5361, 2331, 5231])).
% 25.37/16.68 tff(5363,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5364,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5365,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 25.37/16.68 tff(5366,plain,
% 25.37/16.68 (~v130(constB37, bitIndex2)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5365, 2356, 5362, 5358, 5354, 5350, 5346, 5342])).
% 25.37/16.68 tff(5367,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5368,plain,
% 25.37/16.68 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5369,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5368])).
% 25.37/16.68 tff(5370,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5369, 5367])).
% 25.37/16.68 tff(5371,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5372,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 25.37/16.68 tff(5373,plain,
% 25.37/16.68 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5372, 665, 5280])).
% 25.37/16.68 tff(5374,plain,
% 25.37/16.68 (~v127(constB37, bitIndex2)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5373, 5366])).
% 25.37/16.68 tff(5375,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5376,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5377,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 25.37/16.68 tff(5378,plain,
% 25.37/16.68 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5377, 683, 5298])).
% 25.37/16.68 tff(5379,plain,
% 25.37/16.68 (~v129(constB38, bitIndex2)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5378, 5374])).
% 25.37/16.68 tff(5380,plain,
% 25.37/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5381,plain,
% 25.37/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5382,plain,
% 25.37/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 25.37/16.68 tff(5383,plain,
% 25.37/16.68 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5382, 698, 5379])).
% 25.37/16.68 tff(5384,plain,
% 25.37/16.68 (~v90(constB38, bitIndex2)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5383, 5338])).
% 25.37/16.68 tff(5385,plain,
% 25.37/16.68 ((~v1(constB39)) <=> (~v1(constB39))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5386,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 25.37/16.68 tff(5387,plain,
% 25.37/16.68 (~v1(constB39)),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 25.37/16.68 tff(5388,plain,
% 25.37/16.68 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5389,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 25.37/16.68 tff(5390,plain,
% 25.37/16.68 (nextState(constB38, constB39)),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5389, 5388])).
% 25.37/16.68 tff(5391,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5392,plain,
% 25.37/16.68 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5393,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5392])).
% 25.37/16.68 tff(5394,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5393, 5391])).
% 25.37/16.68 tff(5395,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5396,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5395, 5394])).
% 25.37/16.68 tff(5397,plain,
% 25.37/16.68 (~v101(constB39)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5396, 342, 5390, 5387])).
% 25.37/16.68 tff(5398,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5399,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5400,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 25.37/16.68 tff(5401,plain,
% 25.37/16.68 (v101(constB39) | (~v100(constB39))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5400, 359, 5390])).
% 25.37/16.68 tff(5402,plain,
% 25.37/16.68 (~v100(constB39)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5401, 5397])).
% 25.37/16.68 tff(5403,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5404,plain,
% 25.37/16.68 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5405,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5404])).
% 25.37/16.68 tff(5406,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5405, 5403])).
% 25.37/16.68 tff(5407,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5408,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5407, 5406])).
% 25.37/16.68 tff(5409,plain,
% 25.37/16.68 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5408, 374, 5390])).
% 25.37/16.68 tff(5410,plain,
% 25.37/16.68 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5409, 5402])).
% 25.37/16.68 tff(5411,plain,
% 25.37/16.68 (~v90(constB39, bitIndex2)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5410, 5384])).
% 25.37/16.68 tff(5412,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5413,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5414,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 25.37/16.68 tff(5415,plain,
% 25.37/16.68 (~v130(constB37, bitIndex1)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5414, 2415, 5362, 5358, 5354, 5350, 5346, 5342])).
% 25.37/16.68 tff(5416,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5417,plain,
% 25.37/16.68 ((v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1))) <=> ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5418,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5417])).
% 25.37/16.68 tff(5419,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5418, 5416])).
% 25.37/16.68 tff(5420,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5421,plain,
% 25.37/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5420, 5419])).
% 25.37/16.68 tff(5422,plain,
% 25.37/16.68 ((~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5421, 751, 5280])).
% 25.37/16.68 tff(5423,plain,
% 25.37/16.68 (~v127(constB37, bitIndex1)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5422, 5415])).
% 25.37/16.68 tff(5424,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5425,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5426,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 25.37/16.68 tff(5427,plain,
% 25.37/16.68 (v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5426, 769, 5298])).
% 25.37/16.68 tff(5428,plain,
% 25.37/16.68 (~v129(constB38, bitIndex1)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5427, 5423])).
% 25.37/16.68 tff(5429,plain,
% 25.37/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5430,plain,
% 25.37/16.68 (((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5431,plain,
% 25.37/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5430])).
% 25.37/16.68 tff(5432,plain,
% 25.37/16.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5431, 5429])).
% 25.37/16.68 tff(5433,plain,
% 25.37/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5434,plain,
% 25.37/16.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 25.37/16.68 tff(5435,plain,
% 25.37/16.68 ((~v90(constB38, bitIndex1)) | (~v100(constB38))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5434, 784, 5428])).
% 25.37/16.68 tff(5436,plain,
% 25.37/16.68 (~v90(constB38, bitIndex1)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5435, 5338])).
% 25.37/16.68 tff(5437,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5438,plain,
% 25.37/16.68 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 25.37/16.68 inference(rewrite,[status(thm)],[])).
% 25.37/16.68 tff(5439,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))))),
% 25.37/16.68 inference(monotonicity,[status(thm)],[5438])).
% 25.37/16.68 tff(5440,plain,
% 25.37/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 25.37/16.68 inference(transitivity,[status(thm)],[5439, 5437])).
% 25.37/16.68 tff(5441,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 25.37/16.68 inference(quant_inst,[status(thm)],[])).
% 25.37/16.68 tff(5442,plain,
% 25.37/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 25.37/16.68 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 25.37/16.68 tff(5443,plain,
% 25.37/16.68 (v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5442, 395, 5390])).
% 25.37/16.68 tff(5444,plain,
% 25.37/16.68 (v90(constB38, bitIndex1) | (~v90(constB39, bitIndex1))),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5443, 5402])).
% 25.37/16.68 tff(5445,plain,
% 25.37/16.68 (~v90(constB39, bitIndex1)),
% 25.37/16.68 inference(unit_resolution,[status(thm)],[5444, 5436])).
% 25.37/16.68 tff(5446,plain,
% 25.37/16.68 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5447,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5448,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5447, 5446])).
% 25.37/16.69 tff(5449,plain,
% 25.37/16.69 (v130(constB37, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5448, 2459, 5362, 5358, 5354, 5350, 5346, 5342])).
% 25.37/16.69 tff(5450,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5451,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5452,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 25.37/16.69 tff(5453,plain,
% 25.37/16.69 ((~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5452, 822, 5280])).
% 25.37/16.69 tff(5454,plain,
% 25.37/16.69 (v127(constB37, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5453, 5449])).
% 25.37/16.69 tff(5455,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5456,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5457,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5456, 5455])).
% 25.37/16.69 tff(5458,plain,
% 25.37/16.69 ((~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5457, 837, 5298])).
% 25.37/16.69 tff(5459,plain,
% 25.37/16.69 (v129(constB38, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5458, 5454])).
% 25.37/16.69 tff(5460,plain,
% 25.37/16.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5461,plain,
% 25.37/16.69 ((v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5462,plain,
% 25.37/16.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5461])).
% 25.37/16.69 tff(5463,plain,
% 25.37/16.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5462, 5460])).
% 25.37/16.69 tff(5464,plain,
% 25.37/16.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5465,plain,
% 25.37/16.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 25.37/16.69 tff(5466,plain,
% 25.37/16.69 (v90(constB38, bitIndex0) | (~v100(constB38))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5465, 852, 5459])).
% 25.37/16.69 tff(5467,plain,
% 25.37/16.69 (v90(constB38, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5466, 5338])).
% 25.37/16.69 tff(5468,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5469,plain,
% 25.37/16.69 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5470,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5469])).
% 25.37/16.69 tff(5471,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5470, 5468])).
% 25.37/16.69 tff(5472,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5473,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5472, 5471])).
% 25.37/16.69 tff(5474,plain,
% 25.37/16.69 ((~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5473, 870, 5390])).
% 25.37/16.69 tff(5475,plain,
% 25.37/16.69 ((~v90(constB38, bitIndex0)) | v90(constB39, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5474, 5402])).
% 25.37/16.69 tff(5476,plain,
% 25.37/16.69 (v90(constB39, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5475, 5467])).
% 25.37/16.69 tff(5477,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5478,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5479,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5478, 5477])).
% 25.37/16.69 tff(5480,plain,
% 25.37/16.69 ($false),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5479, 889, 5476, 5445, 5411, 5077])).
% 25.37/16.69 tff(5481,plain,((~v124(constB35)) | v120(constB39)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.69 tff(5482,plain,
% 25.37/16.69 (v120(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5481, 5076])).
% 25.37/16.69 tff(5483,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5484,plain,
% 25.37/16.69 (((~v120(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v120(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5485,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5484])).
% 25.37/16.69 tff(5486,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5485, 5483])).
% 25.37/16.69 tff(5487,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5488,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 25.37/16.69 tff(5489,plain,
% 25.37/16.69 (v118(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5488, 900, 5482])).
% 25.37/16.69 tff(5490,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5491,plain,
% 25.37/16.69 (((~v118(constB39)) | v117(constB39)) <=> (v117(constB39) | (~v118(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5492,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5491])).
% 25.37/16.69 tff(5493,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5492, 5490])).
% 25.37/16.69 tff(5494,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5495,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 25.37/16.69 tff(5496,plain,
% 25.37/16.69 (v117(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5495, 462, 5489])).
% 25.37/16.69 tff(5497,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5498,plain,
% 25.37/16.69 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5499,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5498])).
% 25.37/16.69 tff(5500,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5499, 5497])).
% 25.37/16.69 tff(5501,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5502,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 25.37/16.69 tff(5503,plain,
% 25.37/16.69 (v116(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5502, 476, 5496])).
% 25.37/16.69 tff(5504,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5505,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5506,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 25.37/16.69 tff(5507,plain,
% 25.37/16.69 (v115(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5506, 490, 5503])).
% 25.37/16.69 tff(5508,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5509,plain,
% 25.37/16.69 (((~v115(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v115(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5510,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5509])).
% 25.37/16.69 tff(5511,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5510, 5508])).
% 25.37/16.69 tff(5512,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5513,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 25.37/16.69 tff(5514,plain,
% 25.37/16.69 (v114(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5513, 504, 5507])).
% 25.37/16.69 tff(5515,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5516,plain,
% 25.37/16.69 (((~v114(constB39)) | v113(constB39)) <=> (v113(constB39) | (~v114(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5517,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5516])).
% 25.37/16.69 tff(5518,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5517, 5515])).
% 25.37/16.69 tff(5519,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5520,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 25.37/16.69 tff(5521,plain,
% 25.37/16.69 (v113(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5520, 518, 5514])).
% 25.37/16.69 tff(5522,assumption,(v26(constB39)), introduced(assumption)).
% 25.37/16.69 tff(5523,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5524,plain,
% 25.37/16.69 ($false),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5523, 120, 5522])).
% 25.37/16.69 tff(5525,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.69 tff(5526,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5527,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5528,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 25.37/16.69 tff(5529,plain,
% 25.37/16.69 ((~v113(constB39)) | v112(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5528, 532, 5525])).
% 25.37/16.69 tff(5530,plain,
% 25.37/16.69 (v112(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5529, 5521])).
% 25.37/16.69 tff(5531,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5532,plain,
% 25.37/16.69 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5533,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5532])).
% 25.37/16.69 tff(5534,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5533, 5531])).
% 25.37/16.69 tff(5535,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5536,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 25.37/16.69 tff(5537,plain,
% 25.37/16.69 (v108(constB39)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5536, 544, 5530])).
% 25.37/16.69 tff(5538,plain,
% 25.37/16.69 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5539,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 25.37/16.69 tff(5540,plain,
% 25.37/16.69 (nextState(constB39, constB40)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 25.37/16.69 tff(5541,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5542,plain,
% 25.37/16.69 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5543,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5542])).
% 25.37/16.69 tff(5544,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5543, 5541])).
% 25.37/16.69 tff(5545,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5546,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 25.37/16.69 tff(5547,plain,
% 25.37/16.69 (v110(constB40) | (~v108(constB39))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5546, 564, 5540])).
% 25.37/16.69 tff(5548,plain,
% 25.37/16.69 (v110(constB40)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5547, 5537])).
% 25.37/16.69 tff(5549,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5550,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5551,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 25.37/16.69 tff(5552,plain,
% 25.37/16.69 (~v104(constB40)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5551, 582, 5540, 5387])).
% 25.37/16.69 tff(5553,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5554,plain,
% 25.37/16.69 (((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5555,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5554])).
% 25.37/16.69 tff(5556,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5555, 5553])).
% 25.37/16.69 tff(5557,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5558,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | v102(constB40)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5557, 5556])).
% 25.37/16.69 tff(5559,plain,
% 25.37/16.69 (v104(constB40) | v102(constB40)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5558, 596, 5540])).
% 25.37/16.69 tff(5560,plain,
% 25.37/16.69 (v102(constB40)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5559, 5552])).
% 25.37/16.69 tff(5561,plain,
% 25.37/16.69 (v1(constB40) <=> v1(constB40)),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5562,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 25.37/16.69 tff(5563,plain,
% 25.37/16.69 (v1(constB40)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 25.37/16.69 tff(5564,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5565,plain,
% 25.37/16.69 (((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))) <=> ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5566,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5565])).
% 25.37/16.69 tff(5567,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5566, 5564])).
% 25.37/16.69 tff(5568,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5569,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | (~v1(constB40)) | v101(constB40) | (~v102(constB40))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 25.37/16.69 tff(5570,plain,
% 25.37/16.69 (v101(constB40) | (~v102(constB40))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5569, 617, 5540, 5563])).
% 25.37/16.69 tff(5571,plain,
% 25.37/16.69 (v101(constB40)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5570, 5560])).
% 25.37/16.69 tff(5572,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5573,plain,
% 25.37/16.69 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5574,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5573])).
% 25.37/16.69 tff(5575,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5574, 5572])).
% 25.37/16.69 tff(5576,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5577,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5576, 5575])).
% 25.37/16.69 tff(5578,plain,
% 25.37/16.69 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5577, 635, 5540])).
% 25.37/16.69 tff(5579,plain,
% 25.37/16.69 (v100(constB40) | (~v110(constB40))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5578, 5571])).
% 25.37/16.69 tff(5580,plain,
% 25.37/16.69 (v100(constB40)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5579, 5548])).
% 25.37/16.69 tff(5581,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5582,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5583,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 25.37/16.69 tff(5584,plain,
% 25.37/16.69 (~v130(constB39, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5583, 1139, 5482])).
% 25.37/16.69 tff(5585,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5586,plain,
% 25.37/16.69 ((v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0))) <=> ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5587,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5586])).
% 25.37/16.69 tff(5588,plain,
% 25.37/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5587, 5585])).
% 25.37/16.69 tff(5589,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5590,plain,
% 25.37/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 25.37/16.69 tff(5591,plain,
% 25.37/16.69 ((~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5590, 1153, 5525])).
% 25.37/16.69 tff(5592,plain,
% 25.37/16.69 (~v127(constB39, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5591, 5584])).
% 25.37/16.69 tff(5593,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5594,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5595,plain,
% 25.37/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 25.37/16.69 tff(5596,plain,
% 25.37/16.69 (v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5595, 1171, 5540])).
% 25.37/16.69 tff(5597,plain,
% 25.37/16.69 (~v129(constB40, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5596, 5592])).
% 25.37/16.69 tff(5598,plain,
% 25.37/16.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5599,plain,
% 25.37/16.69 (((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5600,plain,
% 25.37/16.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))))),
% 25.37/16.69 inference(monotonicity,[status(thm)],[5599])).
% 25.37/16.69 tff(5601,plain,
% 25.37/16.69 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 25.37/16.69 inference(transitivity,[status(thm)],[5600, 5598])).
% 25.37/16.69 tff(5602,plain,
% 25.37/16.69 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))),
% 25.37/16.69 inference(quant_inst,[status(thm)],[])).
% 25.37/16.69 tff(5603,plain,
% 25.37/16.69 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5602, 5601])).
% 25.37/16.69 tff(5604,plain,
% 25.37/16.69 ((~v90(constB40, bitIndex0)) | (~v100(constB40))),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5603, 1186, 5597])).
% 25.37/16.69 tff(5605,plain,
% 25.37/16.69 (~v90(constB40, bitIndex0)),
% 25.37/16.69 inference(unit_resolution,[status(thm)],[5604, 5580])).
% 25.37/16.69 tff(5606,plain,
% 25.37/16.69 ((~v1(constB41)) <=> (~v1(constB41))),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5607,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 25.37/16.69 tff(5608,plain,
% 25.37/16.69 (~v1(constB41)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5607, 5606])).
% 25.37/16.69 tff(5609,plain,
% 25.37/16.69 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 25.37/16.69 inference(rewrite,[status(thm)],[])).
% 25.37/16.69 tff(5610,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 25.37/16.69 tff(5611,plain,
% 25.37/16.69 (nextState(constB40, constB41)),
% 25.37/16.69 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 25.37/16.69 tff(5612,plain,
% 25.37/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5613,plain,
% 25.37/16.70 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5614,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5613])).
% 25.37/16.70 tff(5615,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5614, 5612])).
% 25.37/16.70 tff(5616,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5617,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 25.37/16.70 tff(5618,plain,
% 25.37/16.70 (~v101(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5617, 342, 5611, 5608])).
% 25.37/16.70 tff(5619,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5620,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5621,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 25.37/16.70 tff(5622,plain,
% 25.37/16.70 (v101(constB41) | (~v100(constB41))),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5621, 359, 5611])).
% 25.37/16.70 tff(5623,plain,
% 25.37/16.70 (~v100(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5622, 5618])).
% 25.37/16.70 tff(5624,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5625,plain,
% 25.37/16.70 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5626,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5625])).
% 25.37/16.70 tff(5627,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5626, 5624])).
% 25.37/16.70 tff(5628,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5629,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 25.37/16.70 tff(5630,plain,
% 25.37/16.70 (v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5629, 416, 5611])).
% 25.37/16.70 tff(5631,plain,
% 25.37/16.70 (v90(constB40, bitIndex0) | (~v90(constB41, bitIndex0))),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5630, 5623])).
% 25.37/16.70 tff(5632,plain,
% 25.37/16.70 (~v90(constB41, bitIndex0)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5631, 5605])).
% 25.37/16.70 tff(5633,assumption,(~v90(constB41, bitIndex0)), introduced(assumption)).
% 25.37/16.70 tff(5634,assumption,(~v113(constB41)), introduced(assumption)).
% 25.37/16.70 tff(5635,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5636,plain,
% 25.37/16.70 (((~v114(constB41)) | v113(constB41)) <=> (v113(constB41) | (~v114(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5637,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5636])).
% 25.37/16.70 tff(5638,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5637, 5635])).
% 25.37/16.70 tff(5639,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5640,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5639, 5638])).
% 25.37/16.70 tff(5641,plain,
% 25.37/16.70 (~v114(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5640, 518, 5634])).
% 25.37/16.70 tff(5642,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5643,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5644,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 25.37/16.70 tff(5645,plain,
% 25.37/16.70 (~v115(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5644, 504, 5641])).
% 25.37/16.70 tff(5646,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB41)) | v115(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5647,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB41)) | v115(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5648,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB41)) | v115(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 25.37/16.70 tff(5649,plain,
% 25.37/16.70 (~v123(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5648, 1784, 5645])).
% 25.37/16.70 tff(5650,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5651,plain,
% 25.37/16.70 (((~v116(constB41)) | v115(constB41)) <=> (v115(constB41) | (~v116(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5652,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5651])).
% 25.37/16.70 tff(5653,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5652, 5650])).
% 25.37/16.70 tff(5654,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5655,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 25.37/16.70 tff(5656,plain,
% 25.37/16.70 (~v116(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5655, 490, 5645])).
% 25.37/16.70 tff(5657,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB41)) | v116(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5658,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5659,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB41)) | v116(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 25.37/16.70 tff(5660,plain,
% 25.37/16.70 (~v117(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5659, 476, 5656])).
% 25.37/16.70 tff(5661,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5662,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5663,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5662, 5661])).
% 25.37/16.70 tff(5664,plain,
% 25.37/16.70 (~v121(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5663, 1224, 5660])).
% 25.37/16.70 tff(5665,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB41) | (~v118(constB41)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB41) | (~v118(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5666,plain,
% 25.37/16.70 (((~v118(constB41)) | v117(constB41)) <=> (v117(constB41) | (~v118(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5667,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB41) | (~v118(constB41))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5666])).
% 25.37/16.70 tff(5668,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB41) | (~v118(constB41)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5667, 5665])).
% 25.37/16.70 tff(5669,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB41)) | v117(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5670,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB41) | (~v118(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 25.37/16.70 tff(5671,plain,
% 25.37/16.70 (~v118(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5670, 462, 5660])).
% 25.37/16.70 tff(5672,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB41)) | v118(constB41))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB41)) | v118(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5673,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB41)) | v118(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5674,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB41)) | v118(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 25.37/16.70 tff(5675,plain,
% 25.37/16.70 (~v119(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5674, 451, 5671])).
% 25.37/16.70 tff(5676,assumption,(~v119(constB41)), introduced(assumption)).
% 25.37/16.70 tff(5677,assumption,(~v90(constB41, bitIndex2)), introduced(assumption)).
% 25.37/16.70 tff(5678,assumption,(~v121(constB41)), introduced(assumption)).
% 25.37/16.70 tff(5679,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5680,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5681,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 25.37/16.70 tff(5682,plain,
% 25.37/16.70 ((~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5681, 1213, 5633])).
% 25.37/16.70 tff(5683,plain,
% 25.37/16.70 (~v90(constB41, bitIndex1)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5682, 5677, 5678])).
% 25.37/16.70 tff(5684,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5685,plain,
% 25.37/16.70 ((v90(constB41, bitIndex0) | v119(constB41) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2)) <=> (v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5686,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB41, bitIndex0) | v119(constB41) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41)))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5685])).
% 25.37/16.70 tff(5687,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB41, bitIndex0) | v119(constB41) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5686, 5684])).
% 25.37/16.70 tff(5688,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB41, bitIndex0) | v119(constB41) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5689,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 25.37/16.70 tff(5690,plain,
% 25.37/16.70 (v90(constB41, bitIndex1) | v90(constB41, bitIndex2) | v119(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5689, 437, 5633])).
% 25.37/16.70 tff(5691,plain,
% 25.37/16.70 ($false),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5690, 5683, 5677, 5676])).
% 25.37/16.70 tff(5692,plain,(v90(constB41, bitIndex2) | v119(constB41) | v90(constB41, bitIndex0) | v121(constB41)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.70 tff(5693,plain,
% 25.37/16.70 (v90(constB41, bitIndex2)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5692, 5675, 5633, 5664])).
% 25.37/16.70 tff(5694,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB41)) | v113(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5695,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB41)) | v113(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5696,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB41)) | v113(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5695, 5694])).
% 25.37/16.70 tff(5697,plain,
% 25.37/16.70 (~v125(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5696, 2215, 5634])).
% 25.37/16.70 tff(5698,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex2)) | v125(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex2)) | v125(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5699,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex2)) | v125(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5700,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex2)) | v125(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5699, 5698])).
% 25.37/16.70 tff(5701,plain,
% 25.37/16.70 ((~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex2)) | v125(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5700, 2204, 5633])).
% 25.37/16.70 tff(5702,plain,
% 25.37/16.70 (~v90(constB41, bitIndex1)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5701, 5693, 5697])).
% 25.37/16.70 tff(5703,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | (~v90(constB41, bitIndex2)) | v123(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | (~v90(constB41, bitIndex2)) | v123(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5704,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | (~v90(constB41, bitIndex2)) | v123(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5705,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB41, bitIndex0) | v90(constB41, bitIndex1) | (~v90(constB41, bitIndex2)) | v123(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 25.37/16.70 tff(5706,plain,
% 25.37/16.70 (v90(constB41, bitIndex1) | (~v90(constB41, bitIndex2)) | v123(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5705, 1727, 5633])).
% 25.37/16.70 tff(5707,plain,
% 25.37/16.70 ($false),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5706, 5702, 5693, 5649])).
% 25.37/16.70 tff(5708,plain,(v113(constB41) | v90(constB41, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.70 tff(5709,plain,
% 25.37/16.70 (v113(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5708, 5633])).
% 25.37/16.70 tff(5710,assumption,(v26(constB41)), introduced(assumption)).
% 25.37/16.70 tff(5711,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5712,plain,
% 25.37/16.70 ($false),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5711, 120, 5710])).
% 25.37/16.70 tff(5713,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.70 tff(5714,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5715,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5716,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 25.37/16.70 tff(5717,plain,
% 25.37/16.70 ((~v113(constB41)) | v112(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5716, 532, 5713])).
% 25.37/16.70 tff(5718,plain,
% 25.37/16.70 (v112(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5717, 5709])).
% 25.37/16.70 tff(5719,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5720,plain,
% 25.37/16.70 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5721,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5720])).
% 25.37/16.70 tff(5722,plain,
% 25.37/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5721, 5719])).
% 25.37/16.70 tff(5723,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5724,plain,
% 25.37/16.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5723, 5722])).
% 25.37/16.70 tff(5725,plain,
% 25.37/16.70 (v108(constB41)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5724, 544, 5718])).
% 25.37/16.70 tff(5726,plain,
% 25.37/16.70 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5727,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 25.37/16.70 tff(5728,plain,
% 25.37/16.70 (nextState(constB41, constB42)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 25.37/16.70 tff(5729,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5730,plain,
% 25.37/16.70 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5731,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5730])).
% 25.37/16.70 tff(5732,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5731, 5729])).
% 25.37/16.70 tff(5733,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5734,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 25.37/16.70 tff(5735,plain,
% 25.37/16.70 (v110(constB42) | (~v108(constB41))),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5734, 564, 5728])).
% 25.37/16.70 tff(5736,plain,
% 25.37/16.70 (v110(constB42)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5735, 5725])).
% 25.37/16.70 tff(5737,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5738,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5739,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 25.37/16.70 tff(5740,plain,
% 25.37/16.70 (~v104(constB42)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5739, 582, 5728, 5608])).
% 25.37/16.70 tff(5741,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5742,plain,
% 25.37/16.70 (((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5743,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5742])).
% 25.37/16.70 tff(5744,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5743, 5741])).
% 25.37/16.70 tff(5745,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5746,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | v102(constB42)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5745, 5744])).
% 25.37/16.70 tff(5747,plain,
% 25.37/16.70 (v104(constB42) | v102(constB42)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5746, 596, 5728])).
% 25.37/16.70 tff(5748,plain,
% 25.37/16.70 (v102(constB42)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5747, 5740])).
% 25.37/16.70 tff(5749,plain,
% 25.37/16.70 (v1(constB42) <=> v1(constB42)),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5750,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 25.37/16.70 tff(5751,plain,
% 25.37/16.70 (v1(constB42)),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 25.37/16.70 tff(5752,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5753,plain,
% 25.37/16.70 (((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))) <=> ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5754,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5753])).
% 25.37/16.70 tff(5755,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5754, 5752])).
% 25.37/16.70 tff(5756,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.70 tff(5757,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | (~v1(constB42)) | v101(constB42) | (~v102(constB42))),
% 25.37/16.70 inference(modus_ponens,[status(thm)],[5756, 5755])).
% 25.37/16.70 tff(5758,plain,
% 25.37/16.70 (v101(constB42) | (~v102(constB42))),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5757, 617, 5728, 5751])).
% 25.37/16.70 tff(5759,plain,
% 25.37/16.70 (v101(constB42)),
% 25.37/16.70 inference(unit_resolution,[status(thm)],[5758, 5748])).
% 25.37/16.70 tff(5760,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5761,plain,
% 25.37/16.70 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 25.37/16.70 inference(rewrite,[status(thm)],[])).
% 25.37/16.70 tff(5762,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 25.37/16.70 inference(monotonicity,[status(thm)],[5761])).
% 25.37/16.70 tff(5763,plain,
% 25.37/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 25.37/16.70 inference(transitivity,[status(thm)],[5762, 5760])).
% 25.37/16.70 tff(5764,plain,
% 25.37/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 25.37/16.70 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5765,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5764, 5763])).
% 25.37/16.71 tff(5766,plain,
% 25.37/16.71 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5765, 635, 5728])).
% 25.37/16.71 tff(5767,plain,
% 25.37/16.71 (v100(constB42) | (~v110(constB42))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5766, 5759])).
% 25.37/16.71 tff(5768,plain,
% 25.37/16.71 (v100(constB42)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5767, 5736])).
% 25.37/16.71 tff(5769,assumption,(~v90(constB42, bitIndex0)), introduced(assumption)).
% 25.37/16.71 tff(5770,plain,
% 25.37/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5771,plain,
% 25.37/16.71 ((v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5772,plain,
% 25.37/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))))),
% 25.37/16.71 inference(monotonicity,[status(thm)],[5771])).
% 25.37/16.71 tff(5773,plain,
% 25.37/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 25.37/16.71 inference(transitivity,[status(thm)],[5772, 5770])).
% 25.37/16.71 tff(5774,plain,
% 25.37/16.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5775,plain,
% 25.37/16.71 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 25.37/16.71 tff(5776,plain,
% 25.37/16.71 ((~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5775, 852, 5769])).
% 25.37/16.71 tff(5777,plain,
% 25.37/16.71 (~v129(constB42, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5776, 5768])).
% 25.37/16.71 tff(5778,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5779,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5780,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 25.37/16.71 tff(5781,plain,
% 25.37/16.71 ((~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5780, 837, 5728])).
% 25.37/16.71 tff(5782,plain,
% 25.37/16.71 (~v127(constB41, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5781, 5777])).
% 25.37/16.71 tff(5783,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5784,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5785,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 25.37/16.71 tff(5786,plain,
% 25.37/16.71 ((~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5785, 822, 5713])).
% 25.37/16.71 tff(5787,plain,
% 25.37/16.71 (~v130(constB41, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5786, 5782])).
% 25.37/16.71 tff(5788,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5789,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5790,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 25.37/16.71 tff(5791,plain,
% 25.37/16.71 (~v121(constB41)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5790, 1413, 5787])).
% 25.37/16.71 tff(5792,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB41)) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5793,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB41)) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5794,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB41)) | v130(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 25.37/16.71 tff(5795,plain,
% 25.37/16.71 (~v123(constB41)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5794, 1934, 5787])).
% 25.37/16.71 tff(5796,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB41)) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5797,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB41)) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5798,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB41)) | v130(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 25.37/16.71 tff(5799,plain,
% 25.37/16.71 (~v119(constB41)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5798, 808, 5787])).
% 25.37/16.71 tff(5800,plain,
% 25.37/16.71 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 25.37/16.71 inference(bind,[status(th)],[])).
% 25.37/16.71 tff(5801,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(quant_intro,[status(thm)],[5800])).
% 25.37/16.71 tff(5802,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5803,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 25.37/16.71 tff(5804,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 25.37/16.71 tff(5805,plain,(
% 25.37/16.71 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(skolemize,[status(sab)],[5804])).
% 25.37/16.71 tff(5806,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5805, 5801])).
% 25.37/16.71 tff(5807,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB41)) | v90(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB41)) | v90(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5808,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB41)) | v90(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5809,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB41)) | v90(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 25.37/16.71 tff(5810,plain,
% 25.37/16.71 (~v120(constB41)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5809, 5806, 5633])).
% 25.37/16.71 tff(5811,plain,
% 25.37/16.71 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 25.37/16.71 inference(bind,[status(th)],[])).
% 25.37/16.71 tff(5812,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(quant_intro,[status(thm)],[5811])).
% 25.37/16.71 tff(5813,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5814,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 25.37/16.71 tff(5815,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 25.37/16.71 tff(5816,plain,(
% 25.37/16.71 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(skolemize,[status(sab)],[5815])).
% 25.37/16.71 tff(5817,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5816, 5812])).
% 25.37/16.71 tff(5818,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB41)) | v90(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB41)) | v90(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5819,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB41)) | v90(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5820,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB41)) | v90(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5819, 5818])).
% 25.37/16.71 tff(5821,plain,
% 25.37/16.71 (~v122(constB41)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5820, 5817, 5633])).
% 25.37/16.71 tff(5822,plain,
% 25.37/16.71 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)))),
% 25.37/16.71 inference(bind,[status(th)],[])).
% 25.37/16.71 tff(5823,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(quant_intro,[status(thm)],[5822])).
% 25.37/16.71 tff(5824,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5825,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 25.37/16.71 tff(5826,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5825, 5824])).
% 25.37/16.71 tff(5827,plain,(
% 25.37/16.71 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(skolemize,[status(sab)],[5826])).
% 25.37/16.71 tff(5828,plain,
% 25.37/16.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5827, 5823])).
% 25.37/16.71 tff(5829,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB41)) | v90(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB41)) | v90(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5830,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB41)) | v90(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5831,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB41)) | v90(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 25.37/16.71 tff(5832,plain,
% 25.37/16.71 (~v124(constB41)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5831, 5828, 5633])).
% 25.37/16.71 tff(5833,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5834,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5835,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 25.37/16.71 tff(5836,plain,
% 25.37/16.71 (v119(constB41) | v121(constB41) | v123(constB41) | v130(constB41, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5835, 2459, 5832, 5821, 5810])).
% 25.37/16.71 tff(5837,plain,
% 25.37/16.71 ($false),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5836, 5799, 5795, 5787, 5791])).
% 25.37/16.71 tff(5838,plain,(v90(constB41, bitIndex0) | v90(constB42, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.71 tff(5839,plain,
% 25.37/16.71 (v90(constB42, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5838, 5632])).
% 25.37/16.71 tff(5840,plain,
% 25.37/16.71 ((~v1(constB43)) <=> (~v1(constB43))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5841,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 25.37/16.71 tff(5842,plain,
% 25.37/16.71 (~v1(constB43)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 25.37/16.71 tff(5843,plain,
% 25.37/16.71 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5844,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 25.37/16.71 tff(5845,plain,
% 25.37/16.71 (nextState(constB42, constB43)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 25.37/16.71 tff(5846,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5847,plain,
% 25.37/16.71 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5848,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 25.37/16.71 inference(monotonicity,[status(thm)],[5847])).
% 25.37/16.71 tff(5849,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 25.37/16.71 inference(transitivity,[status(thm)],[5848, 5846])).
% 25.37/16.71 tff(5850,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5851,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5850, 5849])).
% 25.37/16.71 tff(5852,plain,
% 25.37/16.71 (~v101(constB43)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5851, 342, 5845, 5842])).
% 25.37/16.71 tff(5853,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5854,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5855,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 25.37/16.71 tff(5856,plain,
% 25.37/16.71 (v101(constB43) | (~v100(constB43))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5855, 359, 5845])).
% 25.37/16.71 tff(5857,plain,
% 25.37/16.71 (~v100(constB43)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5856, 5852])).
% 25.37/16.71 tff(5858,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5859,plain,
% 25.37/16.71 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5860,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)))),
% 25.37/16.71 inference(monotonicity,[status(thm)],[5859])).
% 25.37/16.71 tff(5861,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 25.37/16.71 inference(transitivity,[status(thm)],[5860, 5858])).
% 25.37/16.71 tff(5862,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5863,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 25.37/16.71 tff(5864,plain,
% 25.37/16.71 ((~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5863, 870, 5845])).
% 25.37/16.71 tff(5865,plain,
% 25.37/16.71 ((~v90(constB42, bitIndex0)) | v90(constB43, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5864, 5857])).
% 25.37/16.71 tff(5866,plain,
% 25.37/16.71 (v90(constB43, bitIndex0)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5865, 5839])).
% 25.37/16.71 tff(5867,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5868,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5869,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 25.37/16.71 tff(5870,plain,
% 25.37/16.71 (~v130(constB39, bitIndex2)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5869, 1005, 5482])).
% 25.37/16.71 tff(5871,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5872,plain,
% 25.37/16.71 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5873,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 25.37/16.71 inference(monotonicity,[status(thm)],[5872])).
% 25.37/16.71 tff(5874,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 25.37/16.71 inference(transitivity,[status(thm)],[5873, 5871])).
% 25.37/16.71 tff(5875,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5876,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5875, 5874])).
% 25.37/16.71 tff(5877,plain,
% 25.37/16.71 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5876, 665, 5525])).
% 25.37/16.71 tff(5878,plain,
% 25.37/16.71 (~v127(constB39, bitIndex2)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5877, 5870])).
% 25.37/16.71 tff(5879,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5880,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5881,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 25.37/16.71 tff(5882,plain,
% 25.37/16.71 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5881, 683, 5540])).
% 25.37/16.71 tff(5883,plain,
% 25.37/16.71 (~v129(constB40, bitIndex2)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5882, 5878])).
% 25.37/16.71 tff(5884,plain,
% 25.37/16.71 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5885,plain,
% 25.37/16.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5886,plain,
% 25.37/16.71 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5885, 5884])).
% 25.37/16.71 tff(5887,plain,
% 25.37/16.71 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5886, 698, 5883])).
% 25.37/16.71 tff(5888,plain,
% 25.37/16.71 (~v90(constB40, bitIndex2)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5887, 5580])).
% 25.37/16.71 tff(5889,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5890,plain,
% 25.37/16.71 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5891,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 25.37/16.71 inference(monotonicity,[status(thm)],[5890])).
% 25.37/16.71 tff(5892,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 25.37/16.71 inference(transitivity,[status(thm)],[5891, 5889])).
% 25.37/16.71 tff(5893,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5894,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5893, 5892])).
% 25.37/16.71 tff(5895,plain,
% 25.37/16.71 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5894, 374, 5611])).
% 25.37/16.71 tff(5896,plain,
% 25.37/16.71 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5895, 5623])).
% 25.37/16.71 tff(5897,plain,
% 25.37/16.71 (~v90(constB41, bitIndex2)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5896, 5888])).
% 25.37/16.71 tff(5898,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5899,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5900,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 25.37/16.71 tff(5901,plain,
% 25.37/16.71 (v130(constB39, bitIndex1)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5900, 1061, 5482])).
% 25.37/16.71 tff(5902,plain,
% 25.37/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5903,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5904,plain,
% 25.37/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5903, 5902])).
% 25.37/16.71 tff(5905,plain,
% 25.37/16.71 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5904, 1075, 5525])).
% 25.37/16.71 tff(5906,plain,
% 25.37/16.71 (v127(constB39, bitIndex1)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5905, 5901])).
% 25.37/16.71 tff(5907,plain,
% 25.37/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5908,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 25.37/16.71 inference(quant_inst,[status(thm)],[])).
% 25.37/16.71 tff(5909,plain,
% 25.37/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 25.37/16.71 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 25.37/16.71 tff(5910,plain,
% 25.37/16.71 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5909, 1090, 5540])).
% 25.37/16.71 tff(5911,plain,
% 25.37/16.71 (v129(constB40, bitIndex1)),
% 25.37/16.71 inference(unit_resolution,[status(thm)],[5910, 5906])).
% 25.37/16.71 tff(5912,plain,
% 25.37/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5913,plain,
% 25.37/16.71 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 25.37/16.71 inference(rewrite,[status(thm)],[])).
% 25.37/16.71 tff(5914,plain,
% 25.37/16.71 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 25.37/16.71 inference(monotonicity,[status(thm)],[5913])).
% 25.37/16.72 tff(5915,plain,
% 25.37/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 25.37/16.72 inference(transitivity,[status(thm)],[5914, 5912])).
% 25.37/16.72 tff(5916,plain,
% 25.37/16.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5917,plain,
% 25.37/16.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5916, 5915])).
% 25.37/16.72 tff(5918,plain,
% 25.37/16.72 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5917, 1105, 5911])).
% 25.37/16.72 tff(5919,plain,
% 25.37/16.72 (v90(constB40, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5918, 5580])).
% 25.37/16.72 tff(5920,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5921,plain,
% 25.37/16.72 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5922,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[5921])).
% 25.37/16.72 tff(5923,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 25.37/16.72 inference(transitivity,[status(thm)],[5922, 5920])).
% 25.37/16.72 tff(5924,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5925,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 25.37/16.72 tff(5926,plain,
% 25.37/16.72 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5925, 1123, 5611])).
% 25.37/16.72 tff(5927,plain,
% 25.37/16.72 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5926, 5623])).
% 25.37/16.72 tff(5928,plain,
% 25.37/16.72 (v90(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5927, 5919])).
% 25.37/16.72 tff(5929,plain,
% 25.37/16.72 (v121(constB41)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5681, 1213, 5632, 5928, 5897])).
% 25.37/16.72 tff(5930,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5931,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5932,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 25.37/16.72 tff(5933,plain,
% 25.37/16.72 (~v130(constB41, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5932, 1325, 5929])).
% 25.37/16.72 tff(5934,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5935,plain,
% 25.37/16.72 ((v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2))) <=> ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5936,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[5935])).
% 25.37/16.72 tff(5937,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 25.37/16.72 inference(transitivity,[status(thm)],[5936, 5934])).
% 25.37/16.72 tff(5938,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5939,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 25.37/16.72 tff(5940,plain,
% 25.37/16.72 ((~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5939, 665, 5713])).
% 25.37/16.72 tff(5941,plain,
% 25.37/16.72 (~v127(constB41, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5940, 5933])).
% 25.37/16.72 tff(5942,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5943,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5944,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5943, 5942])).
% 25.37/16.72 tff(5945,plain,
% 25.37/16.72 (v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5944, 683, 5728])).
% 25.37/16.72 tff(5946,plain,
% 25.37/16.72 (~v129(constB42, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5945, 5941])).
% 25.37/16.72 tff(5947,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5948,plain,
% 25.37/16.72 (((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0))) <=> (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5949,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0))))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[5948])).
% 25.37/16.72 tff(5950,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 25.37/16.72 inference(transitivity,[status(thm)],[5949, 5947])).
% 25.37/16.72 tff(5951,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5952,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5951, 5950])).
% 25.37/16.72 tff(5953,plain,
% 25.37/16.72 (v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5952, 416, 5728])).
% 25.37/16.72 tff(5954,plain,
% 25.37/16.72 (v100(constB42)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5953, 5632, 5839])).
% 25.37/16.72 tff(5955,plain,
% 25.37/16.72 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5956,plain,
% 25.37/16.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5957,plain,
% 25.37/16.72 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 25.37/16.72 tff(5958,plain,
% 25.37/16.72 ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5957, 698, 5954])).
% 25.37/16.72 tff(5959,plain,
% 25.37/16.72 (~v90(constB42, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5958, 5946])).
% 25.37/16.72 tff(5960,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5961,plain,
% 25.37/16.72 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(5962,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[5961])).
% 25.37/16.72 tff(5963,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 25.37/16.72 inference(transitivity,[status(thm)],[5962, 5960])).
% 25.37/16.72 tff(5964,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(5965,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 25.37/16.72 tff(5966,plain,
% 25.37/16.72 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5965, 374, 5845])).
% 25.37/16.72 tff(5967,plain,
% 25.37/16.72 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5966, 5857])).
% 25.37/16.72 tff(5968,plain,
% 25.37/16.72 (~v90(constB43, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5967, 5959])).
% 25.37/16.72 tff(5969,assumption,(v120(constB39)), introduced(assumption)).
% 25.37/16.72 tff(5970,plain,
% 25.37/16.72 (v118(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5488, 900, 5969])).
% 25.37/16.72 tff(5971,plain,
% 25.37/16.72 (v117(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5495, 462, 5970])).
% 25.37/16.72 tff(5972,plain,
% 25.37/16.72 (v116(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5502, 476, 5971])).
% 25.37/16.72 tff(5973,plain,
% 25.37/16.72 (v115(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5506, 490, 5972])).
% 25.37/16.72 tff(5974,plain,
% 25.37/16.72 (v114(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5513, 504, 5973])).
% 25.37/16.72 tff(5975,plain,
% 25.37/16.72 (v113(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5520, 518, 5974])).
% 25.37/16.72 tff(5976,plain,
% 25.37/16.72 (v112(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5529, 5975])).
% 25.37/16.72 tff(5977,plain,
% 25.37/16.72 (v108(constB39)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5536, 544, 5976])).
% 25.37/16.72 tff(5978,plain,
% 25.37/16.72 (v110(constB40)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5547, 5977])).
% 25.37/16.72 tff(5979,plain,
% 25.37/16.72 (v100(constB40)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5579, 5978])).
% 25.37/16.72 tff(5980,plain,
% 25.37/16.72 (~v130(constB39, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5869, 1005, 5969])).
% 25.37/16.72 tff(5981,plain,
% 25.37/16.72 (~v127(constB39, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5877, 5980])).
% 25.37/16.72 tff(5982,plain,
% 25.37/16.72 (~v129(constB40, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5882, 5981])).
% 25.37/16.72 tff(5983,plain,
% 25.37/16.72 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5886, 698, 5982])).
% 25.37/16.72 tff(5984,plain,
% 25.37/16.72 (~v90(constB40, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5983, 5979])).
% 25.37/16.72 tff(5985,plain,
% 25.37/16.72 (~v90(constB41, bitIndex2)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5896, 5984])).
% 25.37/16.72 tff(5986,plain,
% 25.37/16.72 (v130(constB39, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5900, 1061, 5969])).
% 25.37/16.72 tff(5987,plain,
% 25.37/16.72 (v127(constB39, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5905, 5986])).
% 25.37/16.72 tff(5988,plain,
% 25.37/16.72 (v129(constB40, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5910, 5987])).
% 25.37/16.72 tff(5989,plain,
% 25.37/16.72 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5917, 1105, 5988])).
% 25.37/16.72 tff(5990,plain,
% 25.37/16.72 (v90(constB40, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5989, 5979])).
% 25.37/16.72 tff(5991,plain,
% 25.37/16.72 (v90(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5927, 5990])).
% 25.37/16.72 tff(5992,plain,
% 25.37/16.72 (~v130(constB39, bitIndex0)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5583, 1139, 5969])).
% 25.37/16.72 tff(5993,plain,
% 25.37/16.72 (~v127(constB39, bitIndex0)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5591, 5992])).
% 25.37/16.72 tff(5994,plain,
% 25.37/16.72 (~v129(constB40, bitIndex0)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5596, 5993])).
% 25.37/16.72 tff(5995,plain,
% 25.37/16.72 ((~v90(constB40, bitIndex0)) | (~v100(constB40))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5603, 1186, 5994])).
% 25.37/16.72 tff(5996,plain,
% 25.37/16.72 (~v90(constB40, bitIndex0)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5995, 5979])).
% 25.37/16.72 tff(5997,plain,
% 25.37/16.72 (~v90(constB41, bitIndex0)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5631, 5996])).
% 25.37/16.72 tff(5998,plain,
% 25.37/16.72 (v121(constB41)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[5681, 1213, 5997, 5991, 5985])).
% 25.37/16.72 tff(5999,assumption,(~v90(constB42, bitIndex1)), introduced(assumption)).
% 25.37/16.72 tff(6000,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB41, bitIndex1)) | (~nextState(constB41, constB42)) | v100(constB42) | v90(constB42, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB41, bitIndex1)) | (~nextState(constB41, constB42)) | v100(constB42) | v90(constB42, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6001,plain,
% 25.37/16.72 (((~nextState(constB41, constB42)) | (~v90(constB41, bitIndex1)) | v100(constB42) | v90(constB42, bitIndex1)) <=> ((~v90(constB41, bitIndex1)) | (~nextState(constB41, constB42)) | v100(constB42) | v90(constB42, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6002,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v90(constB41, bitIndex1)) | v100(constB42) | v90(constB42, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB41, bitIndex1)) | (~nextState(constB41, constB42)) | v100(constB42) | v90(constB42, bitIndex1)))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[6001])).
% 25.37/16.72 tff(6003,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v90(constB41, bitIndex1)) | v100(constB42) | v90(constB42, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB41, bitIndex1)) | (~nextState(constB41, constB42)) | v100(constB42) | v90(constB42, bitIndex1))),
% 25.37/16.72 inference(transitivity,[status(thm)],[6002, 6000])).
% 25.37/16.72 tff(6004,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v90(constB41, bitIndex1)) | v100(constB42) | v90(constB42, bitIndex1))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(6005,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB41, bitIndex1)) | (~nextState(constB41, constB42)) | v100(constB42) | v90(constB42, bitIndex1)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[6004, 6003])).
% 25.37/16.72 tff(6006,plain,
% 25.37/16.72 ((~v90(constB41, bitIndex1)) | v100(constB42) | v90(constB42, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6005, 1123, 5728])).
% 25.37/16.72 tff(6007,plain,
% 25.37/16.72 (v100(constB42)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6006, 5991, 5999])).
% 25.37/16.72 tff(6008,plain,
% 25.37/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6009,plain,
% 25.37/16.72 ((v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6010,plain,
% 25.37/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[6009])).
% 25.37/16.72 tff(6011,plain,
% 25.37/16.72 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 25.37/16.72 inference(transitivity,[status(thm)],[6010, 6008])).
% 25.37/16.72 tff(6012,plain,
% 25.37/16.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(6013,plain,
% 25.37/16.72 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[6012, 6011])).
% 25.37/16.72 tff(6014,plain,
% 25.37/16.72 ((~v129(constB42, bitIndex1)) | (~v100(constB42))),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6013, 1105, 5999])).
% 25.37/16.72 tff(6015,plain,
% 25.37/16.72 (~v129(constB42, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6014, 6007])).
% 25.37/16.72 tff(6016,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6017,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(6018,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 25.37/16.72 tff(6019,plain,
% 25.37/16.72 ((~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6018, 1090, 5728])).
% 25.37/16.72 tff(6020,plain,
% 25.37/16.72 (~v127(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6019, 6015])).
% 25.37/16.72 tff(6021,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6022,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(6023,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 25.37/16.72 tff(6024,plain,
% 25.37/16.72 ((~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6023, 1075, 5713])).
% 25.37/16.72 tff(6025,plain,
% 25.37/16.72 (~v130(constB41, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6024, 6020])).
% 25.37/16.72 tff(6026,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6027,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(6028,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 25.37/16.72 tff(6029,plain,
% 25.37/16.72 ($false),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6028, 1375, 6025, 5998])).
% 25.37/16.72 tff(6030,plain,((~v120(constB39)) | v90(constB42, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.72 tff(6031,plain,
% 25.37/16.72 (v90(constB42, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6030, 5482])).
% 25.37/16.72 tff(6032,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6033,plain,
% 25.37/16.72 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6034,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)))),
% 25.37/16.72 inference(monotonicity,[status(thm)],[6033])).
% 25.37/16.72 tff(6035,plain,
% 25.37/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 25.37/16.72 inference(transitivity,[status(thm)],[6034, 6032])).
% 25.37/16.72 tff(6036,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))),
% 25.37/16.72 inference(quant_inst,[status(thm)],[])).
% 25.37/16.72 tff(6037,plain,
% 25.37/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)),
% 25.37/16.72 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 25.37/16.72 tff(6038,plain,
% 25.37/16.72 ((~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6037, 1123, 5845])).
% 25.37/16.72 tff(6039,plain,
% 25.37/16.72 ((~v90(constB42, bitIndex1)) | v90(constB43, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6038, 5857])).
% 25.37/16.72 tff(6040,plain,
% 25.37/16.72 (v90(constB43, bitIndex1)),
% 25.37/16.72 inference(unit_resolution,[status(thm)],[6039, 6031])).
% 25.37/16.72 tff(6041,plain,
% 25.37/16.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 25.37/16.72 inference(rewrite,[status(thm)],[])).
% 25.37/16.72 tff(6042,plain,
% 25.37/16.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6043,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 25.37/16.73 tff(6044,plain,
% 25.37/16.73 ((~v90(constB43, bitIndex0)) | v90(constB43, bitIndex2) | v122(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6043, 1454, 6040])).
% 25.37/16.73 tff(6045,plain,
% 25.37/16.73 (v122(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6044, 5968, 5866])).
% 25.37/16.73 tff(6046,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB43)) | v116(constB43))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6047,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6048,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB43)) | v116(constB43)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6047, 6046])).
% 25.37/16.73 tff(6049,plain,
% 25.37/16.73 (v116(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6048, 1465, 6045])).
% 25.37/16.73 tff(6050,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6051,plain,
% 25.37/16.73 (((~v116(constB43)) | v115(constB43)) <=> (v115(constB43) | (~v116(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6052,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6051])).
% 25.37/16.73 tff(6053,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6052, 6050])).
% 25.37/16.73 tff(6054,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6055,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 25.37/16.73 tff(6056,plain,
% 25.37/16.73 (v115(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6055, 490, 6049])).
% 25.37/16.73 tff(6057,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB43)) | v114(constB43))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6058,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6059,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB43)) | v114(constB43)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 25.37/16.73 tff(6060,plain,
% 25.37/16.73 (v114(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6059, 504, 6056])).
% 25.37/16.73 tff(6061,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB43)) | v113(constB43))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6062,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6063,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB43)) | v113(constB43)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 25.37/16.73 tff(6064,plain,
% 25.37/16.73 (v113(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6063, 518, 6060])).
% 25.37/16.73 tff(6065,assumption,(v26(constB43)), introduced(assumption)).
% 25.37/16.73 tff(6066,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6067,plain,
% 25.37/16.73 ($false),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6066, 120, 6065])).
% 25.37/16.73 tff(6068,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 25.37/16.73 tff(6069,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6070,plain,
% 25.37/16.73 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6071,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6070])).
% 25.37/16.73 tff(6072,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6071, 6069])).
% 25.37/16.73 tff(6073,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6074,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6073, 6072])).
% 25.37/16.73 tff(6075,plain,
% 25.37/16.73 (v112(constB43) | (~v113(constB43))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6074, 532, 6068])).
% 25.37/16.73 tff(6076,plain,
% 25.37/16.73 (v112(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6075, 6064])).
% 25.37/16.73 tff(6077,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6078,plain,
% 25.37/16.73 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6079,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6078])).
% 25.37/16.73 tff(6080,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6079, 6077])).
% 25.37/16.73 tff(6081,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6082,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6081, 6080])).
% 25.37/16.73 tff(6083,plain,
% 25.37/16.73 (v108(constB43)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6082, 544, 6076])).
% 25.37/16.73 tff(6084,plain,
% 25.37/16.73 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6085,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 25.37/16.73 tff(6086,plain,
% 25.37/16.73 (nextState(constB43, constB44)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 25.37/16.73 tff(6087,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6088,plain,
% 25.37/16.73 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6089,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6088])).
% 25.37/16.73 tff(6090,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6089, 6087])).
% 25.37/16.73 tff(6091,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6092,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6091, 6090])).
% 25.37/16.73 tff(6093,plain,
% 25.37/16.73 (v110(constB44) | (~v108(constB43))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6092, 564, 6086])).
% 25.37/16.73 tff(6094,plain,
% 25.37/16.73 (v110(constB44)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6093, 6083])).
% 25.37/16.73 tff(6095,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6096,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6097,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 25.37/16.73 tff(6098,plain,
% 25.37/16.73 (~v104(constB44)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6097, 582, 6086, 5842])).
% 25.37/16.73 tff(6099,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6100,plain,
% 25.37/16.73 (((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6101,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6100])).
% 25.37/16.73 tff(6102,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6101, 6099])).
% 25.37/16.73 tff(6103,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6104,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | v102(constB44)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 25.37/16.73 tff(6105,plain,
% 25.37/16.73 (v104(constB44) | v102(constB44)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6104, 596, 6086])).
% 25.37/16.73 tff(6106,plain,
% 25.37/16.73 (v102(constB44)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6105, 6098])).
% 25.37/16.73 tff(6107,plain,
% 25.37/16.73 (v1(constB44) <=> v1(constB44)),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6108,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 25.37/16.73 tff(6109,plain,
% 25.37/16.73 (v1(constB44)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 25.37/16.73 tff(6110,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6111,plain,
% 25.37/16.73 (((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))) <=> ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6112,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6111])).
% 25.37/16.73 tff(6113,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6112, 6110])).
% 25.37/16.73 tff(6114,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6115,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | (~v1(constB44)) | v101(constB44) | (~v102(constB44))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6114, 6113])).
% 25.37/16.73 tff(6116,plain,
% 25.37/16.73 (v101(constB44) | (~v102(constB44))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6115, 617, 6086, 6109])).
% 25.37/16.73 tff(6117,plain,
% 25.37/16.73 (v101(constB44)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6116, 6106])).
% 25.37/16.73 tff(6118,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6119,plain,
% 25.37/16.73 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6120,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6119])).
% 25.37/16.73 tff(6121,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6120, 6118])).
% 25.37/16.73 tff(6122,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6123,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 25.37/16.73 tff(6124,plain,
% 25.37/16.73 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6123, 635, 6086])).
% 25.37/16.73 tff(6125,plain,
% 25.37/16.73 (v100(constB44) | (~v110(constB44))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6124, 6117])).
% 25.37/16.73 tff(6126,plain,
% 25.37/16.73 (v100(constB44)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6125, 6094])).
% 25.37/16.73 tff(6127,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6128,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6129,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 25.37/16.73 tff(6130,plain,
% 25.37/16.73 (v130(constB43, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6129, 1546, 6045])).
% 25.37/16.73 tff(6131,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6132,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6133,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6132, 6131])).
% 25.37/16.73 tff(6134,plain,
% 25.37/16.73 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6133, 1560, 6068])).
% 25.37/16.73 tff(6135,plain,
% 25.37/16.73 (v127(constB43, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6134, 6130])).
% 25.37/16.73 tff(6136,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6137,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6138,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6137, 6136])).
% 25.37/16.73 tff(6139,plain,
% 25.37/16.73 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6138, 1575, 6086])).
% 25.37/16.73 tff(6140,plain,
% 25.37/16.73 (v129(constB44, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6139, 6135])).
% 25.37/16.73 tff(6141,plain,
% 25.37/16.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6142,plain,
% 25.37/16.73 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6143,plain,
% 25.37/16.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6142])).
% 25.37/16.73 tff(6144,plain,
% 25.37/16.73 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6143, 6141])).
% 25.37/16.73 tff(6145,plain,
% 25.37/16.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6146,plain,
% 25.37/16.73 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6145, 6144])).
% 25.37/16.73 tff(6147,plain,
% 25.37/16.73 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6146, 1590, 6140])).
% 25.37/16.73 tff(6148,plain,
% 25.37/16.73 (v90(constB44, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6147, 6126])).
% 25.37/16.73 tff(6149,plain,
% 25.37/16.73 ((~v1(constB45)) <=> (~v1(constB45))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6150,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 25.37/16.73 tff(6151,plain,
% 25.37/16.73 (~v1(constB45)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 25.37/16.73 tff(6152,plain,
% 25.37/16.73 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6153,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 25.37/16.73 tff(6154,plain,
% 25.37/16.73 (nextState(constB44, constB45)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 25.37/16.73 tff(6155,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6156,plain,
% 25.37/16.73 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6157,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6156])).
% 25.37/16.73 tff(6158,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6157, 6155])).
% 25.37/16.73 tff(6159,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6160,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 25.37/16.73 tff(6161,plain,
% 25.37/16.73 (~v101(constB45)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6160, 342, 6154, 6151])).
% 25.37/16.73 tff(6162,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6163,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6164,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 25.37/16.73 tff(6165,plain,
% 25.37/16.73 (v101(constB45) | (~v100(constB45))),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6164, 359, 6154])).
% 25.37/16.73 tff(6166,plain,
% 25.37/16.73 (~v100(constB45)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6165, 6161])).
% 25.37/16.73 tff(6167,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6168,plain,
% 25.37/16.73 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6169,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6168])).
% 25.37/16.73 tff(6170,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6169, 6167])).
% 25.37/16.73 tff(6171,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6172,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 25.37/16.73 tff(6173,plain,
% 25.37/16.73 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6172, 1626, 6154])).
% 25.37/16.73 tff(6174,plain,
% 25.37/16.73 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6173, 6166])).
% 25.37/16.73 tff(6175,plain,
% 25.37/16.73 (v90(constB45, bitIndex2)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6174, 6148])).
% 25.37/16.73 tff(6176,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6177,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6178,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1))),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 25.37/16.73 tff(6179,plain,
% 25.37/16.73 (~v130(constB43, bitIndex1)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6178, 1642, 6045])).
% 25.37/16.73 tff(6180,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6181,plain,
% 25.37/16.73 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6182,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 25.37/16.73 inference(monotonicity,[status(thm)],[6181])).
% 25.37/16.73 tff(6183,plain,
% 25.37/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 25.37/16.73 inference(transitivity,[status(thm)],[6182, 6180])).
% 25.37/16.73 tff(6184,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6185,plain,
% 25.37/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 25.37/16.73 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 25.37/16.73 tff(6186,plain,
% 25.37/16.73 ((~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6185, 751, 6068])).
% 25.37/16.73 tff(6187,plain,
% 25.37/16.73 (~v127(constB43, bitIndex1)),
% 25.37/16.73 inference(unit_resolution,[status(thm)],[6186, 6179])).
% 25.37/16.73 tff(6188,plain,
% 25.37/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 25.37/16.73 inference(rewrite,[status(thm)],[])).
% 25.37/16.73 tff(6189,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 25.37/16.73 inference(quant_inst,[status(thm)],[])).
% 25.37/16.73 tff(6190,plain,
% 25.37/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 25.37/16.74 inference(modus_ponens,[status(thm)],[6189, 6188])).
% 25.37/16.74 tff(6191,plain,
% 25.37/16.74 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 25.37/16.74 inference(unit_resolution,[status(thm)],[6190, 769, 6086])).
% 25.37/16.74 tff(6192,plain,
% 25.37/16.74 (~v129(constB44, bitIndex1)),
% 25.37/16.74 inference(unit_resolution,[status(thm)],[6191, 6187])).
% 25.37/16.74 tff(6193,plain,
% 25.37/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 25.37/16.74 inference(rewrite,[status(thm)],[])).
% 25.37/16.74 tff(6194,plain,
% 25.37/16.74 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6195,plain,
% 25.47/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6194])).
% 25.47/16.74 tff(6196,plain,
% 25.47/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6195, 6193])).
% 25.47/16.74 tff(6197,plain,
% 25.47/16.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6198,plain,
% 25.47/16.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 25.47/16.74 tff(6199,plain,
% 25.47/16.74 ((~v90(constB44, bitIndex1)) | (~v100(constB44))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6198, 784, 6192])).
% 25.47/16.74 tff(6200,plain,
% 25.47/16.74 (~v90(constB44, bitIndex1)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6199, 6126])).
% 25.47/16.74 tff(6201,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6202,plain,
% 25.47/16.74 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6203,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6202])).
% 25.47/16.74 tff(6204,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6203, 6201])).
% 25.47/16.74 tff(6205,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6206,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 25.47/16.74 tff(6207,plain,
% 25.47/16.74 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6206, 395, 6154])).
% 25.47/16.74 tff(6208,plain,
% 25.47/16.74 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6207, 6166])).
% 25.47/16.74 tff(6209,plain,
% 25.47/16.74 (~v90(constB45, bitIndex1)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6208, 6200])).
% 25.47/16.74 tff(6210,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6211,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6212,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 25.47/16.74 tff(6213,plain,
% 25.47/16.74 (~v130(constB43, bitIndex0)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6212, 1683, 6045])).
% 25.47/16.74 tff(6214,assumption,(v127(constB43, bitIndex0)), introduced(assumption)).
% 25.47/16.74 tff(6215,assumption,(~v130(constB43, bitIndex0)), introduced(assumption)).
% 25.47/16.74 tff(6216,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6217,plain,
% 25.47/16.74 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6218,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6217])).
% 25.47/16.74 tff(6219,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6218, 6216])).
% 25.47/16.74 tff(6220,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6221,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 25.47/16.74 tff(6222,plain,
% 25.47/16.74 ((~v127(constB43, bitIndex0)) | v26(constB43)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6221, 1153, 6215])).
% 25.47/16.74 tff(6223,plain,
% 25.47/16.74 (v26(constB43)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6222, 6214])).
% 25.47/16.74 tff(6224,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB43)) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB43)) | (~v127(constB43, bitIndex0)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6225,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB43)) | (~v127(constB43, bitIndex0)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6226,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB43)) | (~v127(constB43, bitIndex0))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 25.47/16.74 tff(6227,plain,
% 25.47/16.74 ($false),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6226, 4862, 6214, 6223])).
% 25.47/16.74 tff(6228,plain,((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.74 tff(6229,plain,
% 25.47/16.74 (~v127(constB43, bitIndex0)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6228, 6213])).
% 25.47/16.74 tff(6230,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6231,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6232,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6231, 6230])).
% 25.47/16.74 tff(6233,plain,
% 25.47/16.74 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6232, 1171, 6086])).
% 25.47/16.74 tff(6234,plain,
% 25.47/16.74 (~v129(constB44, bitIndex0)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6233, 6229])).
% 25.47/16.74 tff(6235,plain,
% 25.47/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6236,plain,
% 25.47/16.74 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6237,plain,
% 25.47/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6236])).
% 25.47/16.74 tff(6238,plain,
% 25.47/16.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6237, 6235])).
% 25.47/16.74 tff(6239,plain,
% 25.47/16.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6240,plain,
% 25.47/16.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6239, 6238])).
% 25.47/16.74 tff(6241,plain,
% 25.47/16.74 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6240, 1186, 6234])).
% 25.47/16.74 tff(6242,plain,
% 25.47/16.74 (~v90(constB44, bitIndex0)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6241, 6126])).
% 25.47/16.74 tff(6243,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6244,plain,
% 25.47/16.74 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6245,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6244])).
% 25.47/16.74 tff(6246,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6245, 6243])).
% 25.47/16.74 tff(6247,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6248,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 25.47/16.74 tff(6249,plain,
% 25.47/16.74 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6248, 416, 6154])).
% 25.47/16.74 tff(6250,plain,
% 25.47/16.74 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6249, 6166])).
% 25.47/16.74 tff(6251,plain,
% 25.47/16.74 (~v90(constB45, bitIndex0)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6250, 6242])).
% 25.47/16.74 tff(6252,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6253,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6254,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 25.47/16.74 tff(6255,plain,
% 25.47/16.74 (v123(constB45)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6254, 1727, 6251, 6209, 6175])).
% 25.47/16.74 tff(6256,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6257,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6258,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45)),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6257, 6256])).
% 25.47/16.74 tff(6259,plain,
% 25.47/16.74 (v115(constB45)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6258, 1784, 6255])).
% 25.47/16.74 tff(6260,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6261,plain,
% 25.47/16.74 (((~v115(constB45)) | v114(constB45)) <=> (v114(constB45) | (~v115(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6262,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6261])).
% 25.47/16.74 tff(6263,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6262, 6260])).
% 25.47/16.74 tff(6264,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6265,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 25.47/16.74 tff(6266,plain,
% 25.47/16.74 (v114(constB45)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6265, 504, 6259])).
% 25.47/16.74 tff(6267,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6268,plain,
% 25.47/16.74 (((~v114(constB45)) | v113(constB45)) <=> (v113(constB45) | (~v114(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6269,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6268])).
% 25.47/16.74 tff(6270,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6269, 6267])).
% 25.47/16.74 tff(6271,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6272,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 25.47/16.74 tff(6273,plain,
% 25.47/16.74 (v113(constB45)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6272, 518, 6266])).
% 25.47/16.74 tff(6274,assumption,(v26(constB45)), introduced(assumption)).
% 25.47/16.74 tff(6275,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6276,plain,
% 25.47/16.74 ($false),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6275, 120, 6274])).
% 25.47/16.74 tff(6277,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.74 tff(6278,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6279,plain,
% 25.47/16.74 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6280,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6279])).
% 25.47/16.74 tff(6281,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6280, 6278])).
% 25.47/16.74 tff(6282,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6283,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 25.47/16.74 tff(6284,plain,
% 25.47/16.74 (v112(constB45) | (~v113(constB45))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6283, 532, 6277])).
% 25.47/16.74 tff(6285,plain,
% 25.47/16.74 (v112(constB45)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6284, 6273])).
% 25.47/16.74 tff(6286,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6287,plain,
% 25.47/16.74 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6288,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6287])).
% 25.47/16.74 tff(6289,plain,
% 25.47/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6288, 6286])).
% 25.47/16.74 tff(6290,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6291,plain,
% 25.47/16.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 25.47/16.74 tff(6292,plain,
% 25.47/16.74 (v108(constB45)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6291, 544, 6285])).
% 25.47/16.74 tff(6293,plain,
% 25.47/16.74 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6294,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 25.47/16.74 tff(6295,plain,
% 25.47/16.74 (nextState(constB45, constB46)),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 25.47/16.74 tff(6296,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6297,plain,
% 25.47/16.74 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6298,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6297])).
% 25.47/16.74 tff(6299,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6298, 6296])).
% 25.47/16.74 tff(6300,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6301,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 25.47/16.74 tff(6302,plain,
% 25.47/16.74 (v110(constB46) | (~v108(constB45))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6301, 564, 6295])).
% 25.47/16.74 tff(6303,plain,
% 25.47/16.74 (v110(constB46)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6302, 6292])).
% 25.47/16.74 tff(6304,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6305,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6306,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 25.47/16.74 tff(6307,plain,
% 25.47/16.74 (~v104(constB46)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6306, 582, 6295, 6151])).
% 25.47/16.74 tff(6308,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6309,plain,
% 25.47/16.74 (((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6310,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6309])).
% 25.47/16.74 tff(6311,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6310, 6308])).
% 25.47/16.74 tff(6312,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6313,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | v102(constB46)),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 25.47/16.74 tff(6314,plain,
% 25.47/16.74 (v104(constB46) | v102(constB46)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6313, 596, 6295])).
% 25.47/16.74 tff(6315,plain,
% 25.47/16.74 (v102(constB46)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6314, 6307])).
% 25.47/16.74 tff(6316,plain,
% 25.47/16.74 (v1(constB46) <=> v1(constB46)),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6317,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 25.47/16.74 tff(6318,plain,
% 25.47/16.74 (v1(constB46)),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 25.47/16.74 tff(6319,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6320,plain,
% 25.47/16.74 (((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))) <=> ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6321,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6320])).
% 25.47/16.74 tff(6322,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6321, 6319])).
% 25.47/16.74 tff(6323,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 25.47/16.74 inference(quant_inst,[status(thm)],[])).
% 25.47/16.74 tff(6324,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | (~v1(constB46)) | v101(constB46) | (~v102(constB46))),
% 25.47/16.74 inference(modus_ponens,[status(thm)],[6323, 6322])).
% 25.47/16.74 tff(6325,plain,
% 25.47/16.74 (v101(constB46) | (~v102(constB46))),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6324, 617, 6295, 6318])).
% 25.47/16.74 tff(6326,plain,
% 25.47/16.74 (v101(constB46)),
% 25.47/16.74 inference(unit_resolution,[status(thm)],[6325, 6315])).
% 25.47/16.74 tff(6327,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6328,plain,
% 25.47/16.74 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 25.47/16.74 inference(rewrite,[status(thm)],[])).
% 25.47/16.74 tff(6329,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 25.47/16.74 inference(monotonicity,[status(thm)],[6328])).
% 25.47/16.74 tff(6330,plain,
% 25.47/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 25.47/16.74 inference(transitivity,[status(thm)],[6329, 6327])).
% 25.47/16.74 tff(6331,plain,
% 25.47/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6332,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 25.47/16.75 tff(6333,plain,
% 25.47/16.75 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6332, 635, 6295])).
% 25.47/16.75 tff(6334,plain,
% 25.47/16.75 (v100(constB46) | (~v110(constB46))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6333, 6326])).
% 25.47/16.75 tff(6335,plain,
% 25.47/16.75 (v100(constB46)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6334, 6303])).
% 25.47/16.75 tff(6336,assumption,(~v90(constB45, bitIndex0)), introduced(assumption)).
% 25.47/16.75 tff(6337,assumption,(~v130(constB45, bitIndex0)), introduced(assumption)).
% 25.47/16.75 tff(6338,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB45)) | v90(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB45)) | v90(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6339,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB45)) | v90(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6340,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB45)) | v90(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 25.47/16.75 tff(6341,plain,
% 25.47/16.75 (~v124(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6340, 5828, 6336])).
% 25.47/16.75 tff(6342,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6343,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6344,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6343, 6342])).
% 25.47/16.75 tff(6345,plain,
% 25.47/16.75 (~v123(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6344, 1934, 6337])).
% 25.47/16.75 tff(6346,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB45)) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6347,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB45)) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6348,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB45)) | v130(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 25.47/16.75 tff(6349,plain,
% 25.47/16.75 (~v119(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6348, 808, 6337])).
% 25.47/16.75 tff(6350,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB45)) | v90(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB45)) | v90(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6351,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB45)) | v90(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6352,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB45)) | v90(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 25.47/16.75 tff(6353,plain,
% 25.47/16.75 (~v122(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6352, 5817, 6336])).
% 25.47/16.75 tff(6354,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB45)) | v90(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB45)) | v90(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6355,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB45)) | v90(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6356,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB45)) | v90(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 25.47/16.75 tff(6357,plain,
% 25.47/16.75 (~v120(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6356, 5806, 6336])).
% 25.47/16.75 tff(6358,assumption,(~v121(constB45)), introduced(assumption)).
% 25.47/16.75 tff(6359,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6360,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6361,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 25.47/16.75 tff(6362,plain,
% 25.47/16.75 (v119(constB45) | v120(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6361, 2459, 6358])).
% 25.47/16.75 tff(6363,plain,
% 25.47/16.75 ($false),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6362, 6357, 6353, 6337, 6349, 6345, 6341])).
% 25.47/16.75 tff(6364,plain,(v90(constB45, bitIndex0) | v130(constB45, bitIndex0) | v121(constB45)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.75 tff(6365,plain,
% 25.47/16.75 (v121(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6364, 6337, 6336])).
% 25.47/16.75 tff(6366,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB45)) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6367,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB45)) | v130(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6368,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB45)) | v130(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 25.47/16.75 tff(6369,plain,
% 25.47/16.75 ($false),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6368, 1413, 6337, 6365])).
% 25.47/16.75 tff(6370,plain,(v130(constB45, bitIndex0) | v90(constB45, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.75 tff(6371,plain,
% 25.47/16.75 (v130(constB45, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6370, 6251])).
% 25.47/16.75 tff(6372,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6373,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6374,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6373, 6372])).
% 25.47/16.75 tff(6375,plain,
% 25.47/16.75 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6374, 822, 6277])).
% 25.47/16.75 tff(6376,plain,
% 25.47/16.75 (v127(constB45, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6375, 6371])).
% 25.47/16.75 tff(6377,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6378,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6379,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6378, 6377])).
% 25.47/16.75 tff(6380,plain,
% 25.47/16.75 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6379, 837, 6295])).
% 25.47/16.75 tff(6381,plain,
% 25.47/16.75 (v129(constB46, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6380, 6376])).
% 25.47/16.75 tff(6382,plain,
% 25.47/16.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6383,plain,
% 25.47/16.75 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6384,plain,
% 25.47/16.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 25.47/16.75 inference(monotonicity,[status(thm)],[6383])).
% 25.47/16.75 tff(6385,plain,
% 25.47/16.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 25.47/16.75 inference(transitivity,[status(thm)],[6384, 6382])).
% 25.47/16.75 tff(6386,plain,
% 25.47/16.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6387,plain,
% 25.47/16.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 25.47/16.75 tff(6388,plain,
% 25.47/16.75 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6387, 852, 6381])).
% 25.47/16.75 tff(6389,plain,
% 25.47/16.75 (v90(constB46, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6388, 6335])).
% 25.47/16.75 tff(6390,plain,
% 25.47/16.75 ((~v1(constB47)) <=> (~v1(constB47))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6391,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 25.47/16.75 tff(6392,plain,
% 25.47/16.75 (~v1(constB47)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 25.47/16.75 tff(6393,plain,
% 25.47/16.75 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6394,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 25.47/16.75 tff(6395,plain,
% 25.47/16.75 (nextState(constB46, constB47)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6394, 6393])).
% 25.47/16.75 tff(6396,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6397,plain,
% 25.47/16.75 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6398,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 25.47/16.75 inference(monotonicity,[status(thm)],[6397])).
% 25.47/16.75 tff(6399,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 25.47/16.75 inference(transitivity,[status(thm)],[6398, 6396])).
% 25.47/16.75 tff(6400,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6401,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 25.47/16.75 tff(6402,plain,
% 25.47/16.75 (~v101(constB47)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6401, 342, 6395, 6392])).
% 25.47/16.75 tff(6403,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6404,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6405,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6404, 6403])).
% 25.47/16.75 tff(6406,plain,
% 25.47/16.75 (v101(constB47) | (~v100(constB47))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6405, 359, 6395])).
% 25.47/16.75 tff(6407,plain,
% 25.47/16.75 (~v100(constB47)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6406, 6402])).
% 25.47/16.75 tff(6408,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6409,plain,
% 25.47/16.75 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6410,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 25.47/16.75 inference(monotonicity,[status(thm)],[6409])).
% 25.47/16.75 tff(6411,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 25.47/16.75 inference(transitivity,[status(thm)],[6410, 6408])).
% 25.47/16.75 tff(6412,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6413,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6412, 6411])).
% 25.47/16.75 tff(6414,plain,
% 25.47/16.75 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6413, 870, 6395])).
% 25.47/16.75 tff(6415,plain,
% 25.47/16.75 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6414, 6407])).
% 25.47/16.75 tff(6416,plain,
% 25.47/16.75 (v90(constB47, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6415, 6389])).
% 25.47/16.75 tff(6417,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6418,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6419,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 25.47/16.75 tff(6420,plain,
% 25.47/16.75 (~v130(constB45, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6419, 1893, 6255])).
% 25.47/16.75 tff(6421,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6422,plain,
% 25.47/16.75 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6423,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 25.47/16.75 inference(monotonicity,[status(thm)],[6422])).
% 25.47/16.75 tff(6424,plain,
% 25.47/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 25.47/16.75 inference(transitivity,[status(thm)],[6423, 6421])).
% 25.47/16.75 tff(6425,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6426,plain,
% 25.47/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 25.47/16.75 tff(6427,plain,
% 25.47/16.75 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6426, 751, 6277])).
% 25.47/16.75 tff(6428,plain,
% 25.47/16.75 (~v127(constB45, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6427, 6420])).
% 25.47/16.75 tff(6429,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6430,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6431,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 25.47/16.75 tff(6432,plain,
% 25.47/16.75 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6431, 769, 6295])).
% 25.47/16.75 tff(6433,plain,
% 25.47/16.75 (~v129(constB46, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6432, 6428])).
% 25.47/16.75 tff(6434,plain,
% 25.47/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6435,plain,
% 25.47/16.75 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6436,plain,
% 25.47/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 25.47/16.75 inference(monotonicity,[status(thm)],[6435])).
% 25.47/16.75 tff(6437,plain,
% 25.47/16.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 25.47/16.75 inference(transitivity,[status(thm)],[6436, 6434])).
% 25.47/16.75 tff(6438,plain,
% 25.47/16.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6439,plain,
% 25.47/16.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 25.47/16.75 tff(6440,plain,
% 25.47/16.75 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6439, 784, 6433])).
% 25.47/16.75 tff(6441,plain,
% 25.47/16.75 (~v90(constB46, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6440, 6335])).
% 25.47/16.75 tff(6442,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6443,plain,
% 25.47/16.75 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 25.47/16.75 inference(rewrite,[status(thm)],[])).
% 25.47/16.75 tff(6444,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 25.47/16.75 inference(monotonicity,[status(thm)],[6443])).
% 25.47/16.75 tff(6445,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 25.47/16.75 inference(transitivity,[status(thm)],[6444, 6442])).
% 25.47/16.75 tff(6446,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 25.47/16.75 inference(quant_inst,[status(thm)],[])).
% 25.47/16.75 tff(6447,plain,
% 25.47/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 25.47/16.75 inference(modus_ponens,[status(thm)],[6446, 6445])).
% 25.47/16.75 tff(6448,plain,
% 25.47/16.75 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6447, 395, 6395])).
% 25.47/16.75 tff(6449,plain,
% 25.47/16.75 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6448, 6407])).
% 25.47/16.75 tff(6450,plain,
% 25.47/16.75 (~v90(constB47, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6449, 6441])).
% 25.47/16.75 tff(6451,assumption,(v122(constB43)), introduced(assumption)).
% 25.47/16.75 tff(6452,plain,
% 25.47/16.75 (v116(constB43)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6048, 1465, 6451])).
% 25.47/16.75 tff(6453,plain,
% 25.47/16.75 (v115(constB43)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6055, 490, 6452])).
% 25.47/16.75 tff(6454,plain,
% 25.47/16.75 (v114(constB43)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6059, 504, 6453])).
% 25.47/16.75 tff(6455,plain,
% 25.47/16.75 (v113(constB43)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6063, 518, 6454])).
% 25.47/16.75 tff(6456,plain,
% 25.47/16.75 (v112(constB43)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6075, 6455])).
% 25.47/16.75 tff(6457,plain,
% 25.47/16.75 (v108(constB43)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6082, 544, 6456])).
% 25.47/16.75 tff(6458,plain,
% 25.47/16.75 (v110(constB44)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6093, 6457])).
% 25.47/16.75 tff(6459,plain,
% 25.47/16.75 (v100(constB44)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6125, 6458])).
% 25.47/16.75 tff(6460,plain,
% 25.47/16.75 (v130(constB43, bitIndex2)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6129, 1546, 6451])).
% 25.47/16.75 tff(6461,plain,
% 25.47/16.75 (v127(constB43, bitIndex2)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6134, 6460])).
% 25.47/16.75 tff(6462,plain,
% 25.47/16.75 (v129(constB44, bitIndex2)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6139, 6461])).
% 25.47/16.75 tff(6463,plain,
% 25.47/16.75 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6146, 1590, 6462])).
% 25.47/16.75 tff(6464,plain,
% 25.47/16.75 (v90(constB44, bitIndex2)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6463, 6459])).
% 25.47/16.75 tff(6465,plain,
% 25.47/16.75 (v90(constB45, bitIndex2)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6174, 6464])).
% 25.47/16.75 tff(6466,plain,
% 25.47/16.75 (~v130(constB43, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6178, 1642, 6451])).
% 25.47/16.75 tff(6467,plain,
% 25.47/16.75 (~v127(constB43, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6186, 6466])).
% 25.47/16.75 tff(6468,plain,
% 25.47/16.75 (~v129(constB44, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6191, 6467])).
% 25.47/16.75 tff(6469,plain,
% 25.47/16.75 ((~v90(constB44, bitIndex1)) | (~v100(constB44))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6198, 784, 6468])).
% 25.47/16.75 tff(6470,plain,
% 25.47/16.75 (~v90(constB44, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6469, 6459])).
% 25.47/16.75 tff(6471,plain,
% 25.47/16.75 (~v90(constB45, bitIndex1)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6208, 6470])).
% 25.47/16.75 tff(6472,plain,
% 25.47/16.75 (~v130(constB43, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6212, 1683, 6451])).
% 25.47/16.75 tff(6473,plain,
% 25.47/16.75 (~v127(constB43, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6228, 6472])).
% 25.47/16.75 tff(6474,plain,
% 25.47/16.75 (~v129(constB44, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6233, 6473])).
% 25.47/16.75 tff(6475,plain,
% 25.47/16.75 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6240, 1186, 6474])).
% 25.47/16.75 tff(6476,plain,
% 25.47/16.75 (~v90(constB44, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6475, 6459])).
% 25.47/16.75 tff(6477,plain,
% 25.47/16.75 (~v90(constB45, bitIndex0)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6250, 6476])).
% 25.47/16.75 tff(6478,plain,
% 25.47/16.75 (v123(constB45)),
% 25.47/16.75 inference(unit_resolution,[status(thm)],[6254, 1727, 6477, 6471, 6465])).
% 25.47/16.75 tff(6479,assumption,(~v90(constB46, bitIndex2)), introduced(assumption)).
% 25.47/16.75 tff(6480,plain,
% 25.47/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6481,plain,
% 25.47/16.76 (((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2)) <=> ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6482,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2)))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6481])).
% 25.47/16.76 tff(6483,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6482, 6480])).
% 25.47/16.76 tff(6484,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6485,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v100(constB46) | v90(constB46, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 25.47/16.76 tff(6486,plain,
% 25.47/16.76 ((~v90(constB45, bitIndex2)) | v100(constB46) | v90(constB46, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6485, 1626, 6295])).
% 25.47/16.76 tff(6487,plain,
% 25.47/16.76 (v100(constB46)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6486, 6465, 6479])).
% 25.47/16.76 tff(6488,plain,
% 25.47/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6489,plain,
% 25.47/16.76 ((v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6490,plain,
% 25.47/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6489])).
% 25.47/16.76 tff(6491,plain,
% 25.47/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6490, 6488])).
% 25.47/16.76 tff(6492,plain,
% 25.47/16.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6493,plain,
% 25.47/16.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 25.47/16.76 tff(6494,plain,
% 25.47/16.76 ((~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6493, 1590, 6479])).
% 25.47/16.76 tff(6495,plain,
% 25.47/16.76 (~v129(constB46, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6494, 6487])).
% 25.47/16.76 tff(6496,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6497,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6498,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 25.47/16.76 tff(6499,plain,
% 25.47/16.76 ((~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6498, 1575, 6295])).
% 25.47/16.76 tff(6500,plain,
% 25.47/16.76 (~v127(constB45, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6499, 6495])).
% 25.47/16.76 tff(6501,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6502,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6503,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6502, 6501])).
% 25.47/16.76 tff(6504,plain,
% 25.47/16.76 ((~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6503, 1560, 6277])).
% 25.47/16.76 tff(6505,plain,
% 25.47/16.76 (~v130(constB45, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6504, 6500])).
% 25.47/16.76 tff(6506,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6507,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6508,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 25.47/16.76 tff(6509,plain,
% 25.47/16.76 ($false),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6508, 1738, 6505, 6478])).
% 25.47/16.76 tff(6510,plain,((~v122(constB43)) | v90(constB46, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.76 tff(6511,plain,
% 25.47/16.76 (v90(constB46, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6510, 6045])).
% 25.47/16.76 tff(6512,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6513,plain,
% 25.47/16.76 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6514,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6513])).
% 25.47/16.76 tff(6515,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6514, 6512])).
% 25.47/16.76 tff(6516,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6517,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 25.47/16.76 tff(6518,plain,
% 25.47/16.76 ((~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6517, 1626, 6395])).
% 25.47/16.76 tff(6519,plain,
% 25.47/16.76 ((~v90(constB46, bitIndex2)) | v90(constB47, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6518, 6407])).
% 25.47/16.76 tff(6520,plain,
% 25.47/16.76 (v90(constB47, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6519, 6511])).
% 25.47/16.76 tff(6521,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6522,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6523,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 25.47/16.76 tff(6524,plain,
% 25.47/16.76 ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v124(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6523, 1975, 6520])).
% 25.47/16.76 tff(6525,plain,
% 25.47/16.76 (v124(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6524, 6450, 6416])).
% 25.47/16.76 tff(6526,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6527,plain,
% 25.47/16.76 (((~v124(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v124(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6528,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6527])).
% 25.47/16.76 tff(6529,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6528, 6526])).
% 25.47/16.76 tff(6530,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6531,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 25.47/16.76 tff(6532,plain,
% 25.47/16.76 (v114(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6531, 1986, 6525])).
% 25.47/16.76 tff(6533,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6534,plain,
% 25.47/16.76 (((~v114(constB47)) | v113(constB47)) <=> (v113(constB47) | (~v114(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6535,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6534])).
% 25.47/16.76 tff(6536,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6535, 6533])).
% 25.47/16.76 tff(6537,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6538,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6537, 6536])).
% 25.47/16.76 tff(6539,plain,
% 25.47/16.76 (v113(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6538, 518, 6532])).
% 25.47/16.76 tff(6540,assumption,(~v108(constB47)), introduced(assumption)).
% 25.47/16.76 tff(6541,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6542,plain,
% 25.47/16.76 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6543,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6542])).
% 25.47/16.76 tff(6544,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6543, 6541])).
% 25.47/16.76 tff(6545,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6546,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 25.47/16.76 tff(6547,plain,
% 25.47/16.76 (~v112(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6546, 544, 6540])).
% 25.47/16.76 tff(6548,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6549,plain,
% 25.47/16.76 (((~v26(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v26(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6550,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6549])).
% 25.47/16.76 tff(6551,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6550, 6548])).
% 25.47/16.76 tff(6552,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6553,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 25.47/16.76 tff(6554,plain,
% 25.47/16.76 (~v26(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6553, 1770, 6540])).
% 25.47/16.76 tff(6555,assumption,(v113(constB47)), introduced(assumption)).
% 25.47/16.76 tff(6556,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6557,plain,
% 25.47/16.76 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6558,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6557])).
% 25.47/16.76 tff(6559,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6558, 6556])).
% 25.47/16.76 tff(6560,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6561,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 25.47/16.76 tff(6562,plain,
% 25.47/16.76 (v26(constB47) | v112(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6561, 532, 6555])).
% 25.47/16.76 tff(6563,plain,
% 25.47/16.76 ($false),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6562, 6554, 6547])).
% 25.47/16.76 tff(6564,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 25.47/16.76 tff(6565,plain,
% 25.47/16.76 (v108(constB47)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6564, 6539])).
% 25.47/16.76 tff(6566,plain,
% 25.47/16.76 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6567,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 25.47/16.76 tff(6568,plain,
% 25.47/16.76 (nextState(constB47, constB48)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 25.47/16.76 tff(6569,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6570,plain,
% 25.47/16.76 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6571,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6570])).
% 25.47/16.76 tff(6572,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6571, 6569])).
% 25.47/16.76 tff(6573,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6574,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6573, 6572])).
% 25.47/16.76 tff(6575,plain,
% 25.47/16.76 (v110(constB48) | (~v108(constB47))),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6574, 564, 6568])).
% 25.47/16.76 tff(6576,plain,
% 25.47/16.76 (v110(constB48)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6575, 6565])).
% 25.47/16.76 tff(6577,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6578,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6579,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 25.47/16.76 tff(6580,plain,
% 25.47/16.76 (~v104(constB48)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6579, 582, 6568, 6392])).
% 25.47/16.76 tff(6581,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6582,plain,
% 25.47/16.76 (((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6583,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6582])).
% 25.47/16.76 tff(6584,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6583, 6581])).
% 25.47/16.76 tff(6585,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6586,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | v102(constB48)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6585, 6584])).
% 25.47/16.76 tff(6587,plain,
% 25.47/16.76 (v104(constB48) | v102(constB48)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6586, 596, 6568])).
% 25.47/16.76 tff(6588,plain,
% 25.47/16.76 (v102(constB48)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6587, 6580])).
% 25.47/16.76 tff(6589,plain,
% 25.47/16.76 (v1(constB48) <=> v1(constB48)),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6590,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 25.47/16.76 tff(6591,plain,
% 25.47/16.76 (v1(constB48)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 25.47/16.76 tff(6592,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6593,plain,
% 25.47/16.76 (((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))) <=> ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6594,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6593])).
% 25.47/16.76 tff(6595,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6594, 6592])).
% 25.47/16.76 tff(6596,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6597,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | (~v1(constB48)) | v101(constB48) | (~v102(constB48))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 25.47/16.76 tff(6598,plain,
% 25.47/16.76 (v101(constB48) | (~v102(constB48))),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6597, 617, 6568, 6591])).
% 25.47/16.76 tff(6599,plain,
% 25.47/16.76 (v101(constB48)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6598, 6588])).
% 25.47/16.76 tff(6600,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6601,plain,
% 25.47/16.76 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6602,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6601])).
% 25.47/16.76 tff(6603,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6602, 6600])).
% 25.47/16.76 tff(6604,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6605,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6604, 6603])).
% 25.47/16.76 tff(6606,plain,
% 25.47/16.76 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6605, 635, 6568])).
% 25.47/16.76 tff(6607,plain,
% 25.47/16.76 (v100(constB48) | (~v110(constB48))),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6606, 6599])).
% 25.47/16.76 tff(6608,plain,
% 25.47/16.76 (v100(constB48)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6607, 6576])).
% 25.47/16.76 tff(6609,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6610,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6611,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 25.47/16.76 tff(6612,plain,
% 25.47/16.76 (v130(constB47, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6611, 2066, 6525])).
% 25.47/16.76 tff(6613,assumption,(v26(constB47)), introduced(assumption)).
% 25.47/16.76 tff(6614,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6615,plain,
% 25.47/16.76 ($false),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6614, 120, 6613])).
% 25.47/16.76 tff(6616,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.76 tff(6617,plain,
% 25.47/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6618,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6619,plain,
% 25.47/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 25.47/16.76 tff(6620,plain,
% 25.47/16.76 ((~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6619, 1560, 6616])).
% 25.47/16.76 tff(6621,plain,
% 25.47/16.76 (v127(constB47, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6620, 6612])).
% 25.47/16.76 tff(6622,plain,
% 25.47/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6623,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6624,plain,
% 25.47/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6623, 6622])).
% 25.47/16.76 tff(6625,plain,
% 25.47/16.76 ((~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6624, 1575, 6568])).
% 25.47/16.76 tff(6626,plain,
% 25.47/16.76 (v129(constB48, bitIndex2)),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6625, 6621])).
% 25.47/16.76 tff(6627,plain,
% 25.47/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6628,plain,
% 25.47/16.76 ((v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 25.47/16.76 inference(rewrite,[status(thm)],[])).
% 25.47/16.76 tff(6629,plain,
% 25.47/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))))),
% 25.47/16.76 inference(monotonicity,[status(thm)],[6628])).
% 25.47/16.76 tff(6630,plain,
% 25.47/16.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 25.47/16.76 inference(transitivity,[status(thm)],[6629, 6627])).
% 25.47/16.76 tff(6631,plain,
% 25.47/16.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))),
% 25.47/16.76 inference(quant_inst,[status(thm)],[])).
% 25.47/16.76 tff(6632,plain,
% 25.47/16.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 25.47/16.76 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 25.47/16.76 tff(6633,plain,
% 25.47/16.76 (v90(constB48, bitIndex2) | (~v100(constB48))),
% 25.47/16.76 inference(unit_resolution,[status(thm)],[6632, 1590, 6626])).
% 25.47/16.77 tff(6634,plain,
% 25.47/16.77 (v90(constB48, bitIndex2)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6633, 6608])).
% 25.47/16.77 tff(6635,plain,
% 25.47/16.77 ((~v1(constB49)) <=> (~v1(constB49))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6636,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 25.47/16.77 tff(6637,plain,
% 25.47/16.77 (~v1(constB49)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 25.47/16.77 tff(6638,plain,
% 25.47/16.77 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6639,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 25.47/16.77 tff(6640,plain,
% 25.47/16.77 (nextState(constB48, constB49)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6639, 6638])).
% 25.47/16.77 tff(6641,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6642,plain,
% 25.47/16.77 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6643,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6642])).
% 25.47/16.77 tff(6644,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6643, 6641])).
% 25.47/16.77 tff(6645,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6646,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 25.47/16.77 tff(6647,plain,
% 25.47/16.77 (~v101(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6646, 342, 6640, 6637])).
% 25.47/16.77 tff(6648,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6649,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6650,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 25.47/16.77 tff(6651,plain,
% 25.47/16.77 (v101(constB49) | (~v100(constB49))),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6650, 359, 6640])).
% 25.47/16.77 tff(6652,plain,
% 25.47/16.77 (~v100(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6651, 6647])).
% 25.47/16.77 tff(6653,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6654,plain,
% 25.47/16.77 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6655,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6654])).
% 25.47/16.77 tff(6656,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6655, 6653])).
% 25.47/16.77 tff(6657,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6658,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 25.47/16.77 tff(6659,plain,
% 25.47/16.77 ((~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6658, 1626, 6640])).
% 25.47/16.77 tff(6660,plain,
% 25.47/16.77 ((~v90(constB48, bitIndex2)) | v90(constB49, bitIndex2)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6659, 6652])).
% 25.47/16.77 tff(6661,plain,
% 25.47/16.77 (v90(constB49, bitIndex2)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6660, 6634])).
% 25.47/16.77 tff(6662,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6663,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6664,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6663, 6662])).
% 25.47/16.77 tff(6665,plain,
% 25.47/16.77 (v130(constB47, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6664, 2122, 6525])).
% 25.47/16.77 tff(6666,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6667,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6668,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 25.47/16.77 tff(6669,plain,
% 25.47/16.77 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6668, 1075, 6616])).
% 25.47/16.77 tff(6670,plain,
% 25.47/16.77 (v127(constB47, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6669, 6665])).
% 25.47/16.77 tff(6671,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6672,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6673,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 25.47/16.77 tff(6674,plain,
% 25.47/16.77 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6673, 1090, 6568])).
% 25.47/16.77 tff(6675,plain,
% 25.47/16.77 (v129(constB48, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6674, 6670])).
% 25.47/16.77 tff(6676,plain,
% 25.47/16.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6677,plain,
% 25.47/16.77 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6678,plain,
% 25.47/16.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6677])).
% 25.47/16.77 tff(6679,plain,
% 25.47/16.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6678, 6676])).
% 25.47/16.77 tff(6680,plain,
% 25.47/16.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6681,plain,
% 25.47/16.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6680, 6679])).
% 25.47/16.77 tff(6682,plain,
% 25.47/16.77 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6681, 1105, 6675])).
% 25.47/16.77 tff(6683,plain,
% 25.47/16.77 (v90(constB48, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6682, 6608])).
% 25.47/16.77 tff(6684,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6685,plain,
% 25.47/16.77 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6686,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6685])).
% 25.47/16.77 tff(6687,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6686, 6684])).
% 25.47/16.77 tff(6688,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6689,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6688, 6687])).
% 25.47/16.77 tff(6690,plain,
% 25.47/16.77 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6689, 1123, 6640])).
% 25.47/16.77 tff(6691,plain,
% 25.47/16.77 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6690, 6652])).
% 25.47/16.77 tff(6692,plain,
% 25.47/16.77 (v90(constB49, bitIndex1)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6691, 6683])).
% 25.47/16.77 tff(6693,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6694,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6695,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 25.47/16.77 tff(6696,plain,
% 25.47/16.77 (~v130(constB47, bitIndex0)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6695, 2160, 6525])).
% 25.47/16.77 tff(6697,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6698,plain,
% 25.47/16.77 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6699,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6698])).
% 25.47/16.77 tff(6700,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6699, 6697])).
% 25.47/16.77 tff(6701,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6702,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 25.47/16.77 tff(6703,plain,
% 25.47/16.77 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6702, 1153, 6616])).
% 25.47/16.77 tff(6704,plain,
% 25.47/16.77 (~v127(constB47, bitIndex0)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6703, 6696])).
% 25.47/16.77 tff(6705,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6706,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6707,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6706, 6705])).
% 25.47/16.77 tff(6708,plain,
% 25.47/16.77 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6707, 1171, 6568])).
% 25.47/16.77 tff(6709,plain,
% 25.47/16.77 (~v129(constB48, bitIndex0)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6708, 6704])).
% 25.47/16.77 tff(6710,plain,
% 25.47/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6711,plain,
% 25.47/16.77 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6712,plain,
% 25.47/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6711])).
% 25.47/16.77 tff(6713,plain,
% 25.47/16.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6712, 6710])).
% 25.47/16.77 tff(6714,plain,
% 25.47/16.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6715,plain,
% 25.47/16.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 25.47/16.77 tff(6716,plain,
% 25.47/16.77 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6715, 1186, 6709])).
% 25.47/16.77 tff(6717,plain,
% 25.47/16.77 (~v90(constB48, bitIndex0)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6716, 6608])).
% 25.47/16.77 tff(6718,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6719,plain,
% 25.47/16.77 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6720,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6719])).
% 25.47/16.77 tff(6721,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6720, 6718])).
% 25.47/16.77 tff(6722,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6723,plain,
% 25.47/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 25.47/16.77 tff(6724,plain,
% 25.47/16.77 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6723, 416, 6640])).
% 25.47/16.77 tff(6725,plain,
% 25.47/16.77 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6724, 6652])).
% 25.47/16.77 tff(6726,plain,
% 25.47/16.77 (~v90(constB49, bitIndex0)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6725, 6717])).
% 25.47/16.77 tff(6727,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6728,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6729,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 25.47/16.77 tff(6730,plain,
% 25.47/16.77 (v125(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6729, 2204, 6726, 6692, 6661])).
% 25.47/16.77 tff(6731,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6732,plain,
% 25.47/16.77 (((~v125(constB49)) | v113(constB49)) <=> (v113(constB49) | (~v125(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6733,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6732])).
% 25.47/16.77 tff(6734,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6733, 6731])).
% 25.47/16.77 tff(6735,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6736,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 25.47/16.77 tff(6737,plain,
% 25.47/16.77 (v113(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6736, 2215, 6730])).
% 25.47/16.77 tff(6738,assumption,(v26(constB49)), introduced(assumption)).
% 25.47/16.77 tff(6739,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6740,plain,
% 25.47/16.77 ($false),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6739, 120, 6738])).
% 25.47/16.77 tff(6741,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.77 tff(6742,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6743,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6744,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 25.47/16.77 tff(6745,plain,
% 25.47/16.77 ((~v113(constB49)) | v112(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6744, 532, 6741])).
% 25.47/16.77 tff(6746,plain,
% 25.47/16.77 (v112(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6745, 6737])).
% 25.47/16.77 tff(6747,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6748,plain,
% 25.47/16.77 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6749,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6748])).
% 25.47/16.77 tff(6750,plain,
% 25.47/16.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 25.47/16.77 inference(transitivity,[status(thm)],[6749, 6747])).
% 25.47/16.77 tff(6751,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 25.47/16.77 inference(quant_inst,[status(thm)],[])).
% 25.47/16.77 tff(6752,plain,
% 25.47/16.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 25.47/16.77 tff(6753,plain,
% 25.47/16.77 (v108(constB49)),
% 25.47/16.77 inference(unit_resolution,[status(thm)],[6752, 544, 6746])).
% 25.47/16.77 tff(6754,plain,
% 25.47/16.77 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6755,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 25.47/16.77 tff(6756,plain,
% 25.47/16.77 (nextState(constB49, constB50)),
% 25.47/16.77 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 25.47/16.77 tff(6757,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6758,plain,
% 25.47/16.77 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 25.47/16.77 inference(rewrite,[status(thm)],[])).
% 25.47/16.77 tff(6759,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 25.47/16.77 inference(monotonicity,[status(thm)],[6758])).
% 25.47/16.77 tff(6760,plain,
% 25.47/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6759, 6757])).
% 25.47/16.78 tff(6761,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6762,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 25.47/16.78 tff(6763,plain,
% 25.47/16.78 (v110(constB50) | (~v108(constB49))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6762, 564, 6756])).
% 25.47/16.78 tff(6764,plain,
% 25.47/16.78 (v110(constB50)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6763, 6753])).
% 25.47/16.78 tff(6765,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6766,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6767,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 25.47/16.78 tff(6768,plain,
% 25.47/16.78 (~v104(constB50)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6767, 582, 6756, 6637])).
% 25.47/16.78 tff(6769,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6770,plain,
% 25.47/16.78 (((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6771,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6770])).
% 25.47/16.78 tff(6772,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6771, 6769])).
% 25.47/16.78 tff(6773,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6774,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | v102(constB50)),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 25.47/16.78 tff(6775,plain,
% 25.47/16.78 (v104(constB50) | v102(constB50)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6774, 596, 6756])).
% 25.47/16.78 tff(6776,plain,
% 25.47/16.78 (v102(constB50)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6775, 6768])).
% 25.47/16.78 tff(6777,plain,
% 25.47/16.78 (v1(constB50) <=> v1(constB50)),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6778,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 25.47/16.78 tff(6779,plain,
% 25.47/16.78 (v1(constB50)),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 25.47/16.78 tff(6780,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6781,plain,
% 25.47/16.78 (((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))) <=> ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6782,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6781])).
% 25.47/16.78 tff(6783,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50)))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6782, 6780])).
% 25.47/16.78 tff(6784,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6785,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | (~v1(constB50)) | v101(constB50) | (~v102(constB50))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6784, 6783])).
% 25.47/16.78 tff(6786,plain,
% 25.47/16.78 (v101(constB50) | (~v102(constB50))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6785, 617, 6756, 6779])).
% 25.47/16.78 tff(6787,plain,
% 25.47/16.78 (v101(constB50)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6786, 6776])).
% 25.47/16.78 tff(6788,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6789,plain,
% 25.47/16.78 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6790,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6789])).
% 25.47/16.78 tff(6791,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6790, 6788])).
% 25.47/16.78 tff(6792,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6793,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6792, 6791])).
% 25.47/16.78 tff(6794,plain,
% 25.47/16.78 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6793, 635, 6756])).
% 25.47/16.78 tff(6795,plain,
% 25.47/16.78 (v100(constB50) | (~v110(constB50))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6794, 6787])).
% 25.47/16.78 tff(6796,plain,
% 25.47/16.78 (v100(constB50)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6795, 6764])).
% 25.47/16.78 tff(6797,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v90(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v90(constB49, bitIndex2)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6798,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v90(constB49, bitIndex2)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6799,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v90(constB49, bitIndex2))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 25.47/16.78 tff(6800,plain,
% 25.47/16.78 (~v121(constB49)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6799, 2287, 6661])).
% 25.47/16.78 tff(6801,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB49)) | (~v90(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB49)) | (~v90(constB49, bitIndex2)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6802,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB49)) | (~v90(constB49, bitIndex2)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6803,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB49)) | (~v90(constB49, bitIndex2))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 25.47/16.78 tff(6804,plain,
% 25.47/16.78 (~v122(constB49)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6803, 2298, 6661])).
% 25.47/16.78 tff(6805,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6806,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6807,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 25.47/16.78 tff(6808,plain,
% 25.47/16.78 (~v119(constB49)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6807, 2309, 6692])).
% 25.47/16.78 tff(6809,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6810,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6811,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB49)) | (~v90(constB49, bitIndex1))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 25.47/16.78 tff(6812,plain,
% 25.47/16.78 (~v124(constB49)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6811, 2342, 6692])).
% 25.47/16.78 tff(6813,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6814,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6815,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB49)) | (~v90(constB49, bitIndex1))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 25.47/16.78 tff(6816,plain,
% 25.47/16.78 (~v123(constB49)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6815, 2331, 6692])).
% 25.47/16.78 tff(6817,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6818,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB49)) | (~v90(constB49, bitIndex1)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6819,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB49)) | (~v90(constB49, bitIndex1))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 25.47/16.78 tff(6820,plain,
% 25.47/16.78 (~v120(constB49)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6819, 2320, 6692])).
% 25.47/16.78 tff(6821,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6822,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6823,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 25.47/16.78 tff(6824,plain,
% 25.47/16.78 (~v130(constB49, bitIndex2)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6823, 2356, 6820, 6816, 6812, 6808, 6804, 6800])).
% 25.47/16.78 tff(6825,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6826,plain,
% 25.47/16.78 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6827,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6826])).
% 25.47/16.78 tff(6828,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6827, 6825])).
% 25.47/16.78 tff(6829,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6830,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 25.47/16.78 tff(6831,plain,
% 25.47/16.78 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6830, 665, 6741])).
% 25.47/16.78 tff(6832,plain,
% 25.47/16.78 (~v127(constB49, bitIndex2)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6831, 6824])).
% 25.47/16.78 tff(6833,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6834,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6835,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 25.47/16.78 tff(6836,plain,
% 25.47/16.78 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6835, 683, 6756])).
% 25.47/16.78 tff(6837,plain,
% 25.47/16.78 (~v129(constB50, bitIndex2)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6836, 6832])).
% 25.47/16.78 tff(6838,plain,
% 25.47/16.78 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6839,plain,
% 25.47/16.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6840,plain,
% 25.47/16.78 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6839, 6838])).
% 25.47/16.78 tff(6841,plain,
% 25.47/16.78 ((~v90(constB50, bitIndex2)) | (~v100(constB50))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6840, 698, 6837])).
% 25.47/16.78 tff(6842,plain,
% 25.47/16.78 (~v90(constB50, bitIndex2)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6841, 6796])).
% 25.47/16.78 tff(6843,plain,
% 25.47/16.78 ((~v1(constB51)) <=> (~v1(constB51))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6844,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 25.47/16.78 tff(6845,plain,
% 25.47/16.78 (~v1(constB51)),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6844, 6843])).
% 25.47/16.78 tff(6846,plain,
% 25.47/16.78 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6847,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 25.47/16.78 tff(6848,plain,
% 25.47/16.78 (nextState(constB50, constB51)),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 25.47/16.78 tff(6849,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6850,plain,
% 25.47/16.78 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6851,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6850])).
% 25.47/16.78 tff(6852,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6851, 6849])).
% 25.47/16.78 tff(6853,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6854,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 25.47/16.78 tff(6855,plain,
% 25.47/16.78 (~v101(constB51)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6854, 342, 6848, 6845])).
% 25.47/16.78 tff(6856,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6857,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6858,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 25.47/16.78 tff(6859,plain,
% 25.47/16.78 (v101(constB51) | (~v100(constB51))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6858, 359, 6848])).
% 25.47/16.78 tff(6860,plain,
% 25.47/16.78 (~v100(constB51)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6859, 6855])).
% 25.47/16.78 tff(6861,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6862,plain,
% 25.47/16.78 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6863,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6862])).
% 25.47/16.78 tff(6864,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6863, 6861])).
% 25.47/16.78 tff(6865,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6866,plain,
% 25.47/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 25.47/16.78 tff(6867,plain,
% 25.47/16.78 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6866, 374, 6848])).
% 25.47/16.78 tff(6868,plain,
% 25.47/16.78 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6867, 6860])).
% 25.47/16.78 tff(6869,plain,
% 25.47/16.78 (~v90(constB51, bitIndex2)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6868, 6842])).
% 25.47/16.78 tff(6870,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6871,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6872,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6871, 6870])).
% 25.47/16.78 tff(6873,plain,
% 25.47/16.78 (~v130(constB49, bitIndex1)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6872, 2415, 6820, 6816, 6812, 6808, 6804, 6800])).
% 25.47/16.78 tff(6874,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6875,plain,
% 25.47/16.78 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 25.47/16.78 inference(rewrite,[status(thm)],[])).
% 25.47/16.78 tff(6876,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 25.47/16.78 inference(monotonicity,[status(thm)],[6875])).
% 25.47/16.78 tff(6877,plain,
% 25.47/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 25.47/16.78 inference(transitivity,[status(thm)],[6876, 6874])).
% 25.47/16.78 tff(6878,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 25.47/16.78 inference(quant_inst,[status(thm)],[])).
% 25.47/16.78 tff(6879,plain,
% 25.47/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 25.47/16.78 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 25.47/16.78 tff(6880,plain,
% 25.47/16.78 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6879, 751, 6741])).
% 25.47/16.78 tff(6881,plain,
% 25.47/16.78 (~v127(constB49, bitIndex1)),
% 25.47/16.78 inference(unit_resolution,[status(thm)],[6880, 6873])).
% 25.47/16.78 tff(6882,plain,
% 25.47/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6883,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6884,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 25.47/16.79 tff(6885,plain,
% 25.47/16.79 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6884, 769, 6756])).
% 25.47/16.79 tff(6886,plain,
% 25.47/16.79 (~v129(constB50, bitIndex1)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6885, 6881])).
% 25.47/16.79 tff(6887,plain,
% 25.47/16.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6888,plain,
% 25.47/16.79 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6889,plain,
% 25.47/16.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6888])).
% 25.47/16.79 tff(6890,plain,
% 25.47/16.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6889, 6887])).
% 25.47/16.79 tff(6891,plain,
% 25.47/16.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6892,plain,
% 25.47/16.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 25.47/16.79 tff(6893,plain,
% 25.47/16.79 ((~v90(constB50, bitIndex1)) | (~v100(constB50))),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6892, 784, 6886])).
% 25.47/16.79 tff(6894,plain,
% 25.47/16.79 (~v90(constB50, bitIndex1)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6893, 6796])).
% 25.47/16.79 tff(6895,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6896,plain,
% 25.47/16.79 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6897,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6896])).
% 25.47/16.79 tff(6898,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6897, 6895])).
% 25.47/16.79 tff(6899,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6900,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 25.47/16.79 tff(6901,plain,
% 25.47/16.79 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6900, 395, 6848])).
% 25.47/16.79 tff(6902,plain,
% 25.47/16.79 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6901, 6860])).
% 25.47/16.79 tff(6903,plain,
% 25.47/16.79 (~v90(constB51, bitIndex1)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6902, 6894])).
% 25.47/16.79 tff(6904,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6905,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6906,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 25.47/16.79 tff(6907,plain,
% 25.47/16.79 (v130(constB49, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6906, 2459, 6820, 6816, 6812, 6808, 6804, 6800])).
% 25.47/16.79 tff(6908,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6909,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6910,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 25.47/16.79 tff(6911,plain,
% 25.47/16.79 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6910, 822, 6741])).
% 25.47/16.79 tff(6912,plain,
% 25.47/16.79 (v127(constB49, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6911, 6907])).
% 25.47/16.79 tff(6913,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6914,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6915,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 25.47/16.79 tff(6916,plain,
% 25.47/16.79 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6915, 837, 6756])).
% 25.47/16.79 tff(6917,plain,
% 25.47/16.79 (v129(constB50, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6916, 6912])).
% 25.47/16.79 tff(6918,plain,
% 25.47/16.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6919,plain,
% 25.47/16.79 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6920,plain,
% 25.47/16.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6919])).
% 25.47/16.79 tff(6921,plain,
% 25.47/16.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6920, 6918])).
% 25.47/16.79 tff(6922,plain,
% 25.47/16.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6923,plain,
% 25.47/16.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 25.47/16.79 tff(6924,plain,
% 25.47/16.79 (v90(constB50, bitIndex0) | (~v100(constB50))),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6923, 852, 6917])).
% 25.47/16.79 tff(6925,plain,
% 25.47/16.79 (v90(constB50, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6924, 6796])).
% 25.47/16.79 tff(6926,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6927,plain,
% 25.47/16.79 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6928,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6927])).
% 25.47/16.79 tff(6929,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6928, 6926])).
% 25.47/16.79 tff(6930,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6931,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 25.47/16.79 tff(6932,plain,
% 25.47/16.79 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6931, 870, 6848])).
% 25.47/16.79 tff(6933,plain,
% 25.47/16.79 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6932, 6860])).
% 25.47/16.79 tff(6934,plain,
% 25.47/16.79 (v90(constB51, bitIndex0)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6933, 6925])).
% 25.47/16.79 tff(6935,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6936,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6937,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 25.47/16.79 tff(6938,plain,
% 25.47/16.79 (v120(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6937, 889, 6934, 6903, 6869])).
% 25.47/16.79 tff(6939,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6940,plain,
% 25.47/16.79 (((~v120(constB51)) | v118(constB51)) <=> (v118(constB51) | (~v120(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6941,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB51) | (~v120(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6940])).
% 25.47/16.79 tff(6942,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6941, 6939])).
% 25.47/16.79 tff(6943,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6944,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 25.47/16.79 tff(6945,plain,
% 25.47/16.79 (v118(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6944, 900, 6938])).
% 25.47/16.79 tff(6946,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6947,plain,
% 25.47/16.79 (((~v118(constB51)) | v117(constB51)) <=> (v117(constB51) | (~v118(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6948,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB51) | (~v118(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6947])).
% 25.47/16.79 tff(6949,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6948, 6946])).
% 25.47/16.79 tff(6950,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6951,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 25.47/16.79 tff(6952,plain,
% 25.47/16.79 (v117(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6951, 462, 6945])).
% 25.47/16.79 tff(6953,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6954,plain,
% 25.47/16.79 (((~v117(constB51)) | v116(constB51)) <=> (v116(constB51) | (~v117(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6955,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6954])).
% 25.47/16.79 tff(6956,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6955, 6953])).
% 25.47/16.79 tff(6957,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6958,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 25.47/16.79 tff(6959,plain,
% 25.47/16.79 (v116(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6958, 476, 6952])).
% 25.47/16.79 tff(6960,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6961,plain,
% 25.47/16.79 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6962,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6961])).
% 25.47/16.79 tff(6963,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6962, 6960])).
% 25.47/16.79 tff(6964,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6965,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 25.47/16.79 tff(6966,plain,
% 25.47/16.79 (v115(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6965, 490, 6959])).
% 25.47/16.79 tff(6967,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6968,plain,
% 25.47/16.79 (((~v115(constB51)) | v114(constB51)) <=> (v114(constB51) | (~v115(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6969,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6968])).
% 25.47/16.79 tff(6970,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6969, 6967])).
% 25.47/16.79 tff(6971,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6972,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6971, 6970])).
% 25.47/16.79 tff(6973,plain,
% 25.47/16.79 (v114(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6972, 504, 6966])).
% 25.47/16.79 tff(6974,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6975,plain,
% 25.47/16.79 (((~v114(constB51)) | v113(constB51)) <=> (v113(constB51) | (~v114(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6976,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6975])).
% 25.47/16.79 tff(6977,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6976, 6974])).
% 25.47/16.79 tff(6978,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6979,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6978, 6977])).
% 25.47/16.79 tff(6980,plain,
% 25.47/16.79 (v113(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6979, 518, 6973])).
% 25.47/16.79 tff(6981,assumption,(v26(constB51)), introduced(assumption)).
% 25.47/16.79 tff(6982,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6983,plain,
% 25.47/16.79 ($false),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6982, 120, 6981])).
% 25.47/16.79 tff(6984,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 25.47/16.79 tff(6985,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6986,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6987,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6986, 6985])).
% 25.47/16.79 tff(6988,plain,
% 25.47/16.79 ((~v113(constB51)) | v112(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6987, 532, 6984])).
% 25.47/16.79 tff(6989,plain,
% 25.47/16.79 (v112(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6988, 6980])).
% 25.47/16.79 tff(6990,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6991,plain,
% 25.47/16.79 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6992,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[6991])).
% 25.47/16.79 tff(6993,plain,
% 25.47/16.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[6992, 6990])).
% 25.47/16.79 tff(6994,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(6995,plain,
% 25.47/16.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 25.47/16.79 tff(6996,plain,
% 25.47/16.79 (v108(constB51)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[6995, 544, 6989])).
% 25.47/16.79 tff(6997,plain,
% 25.47/16.79 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(6998,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 25.47/16.79 tff(6999,plain,
% 25.47/16.79 (nextState(constB51, constB52)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[6998, 6997])).
% 25.47/16.79 tff(7000,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7001,plain,
% 25.47/16.79 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7002,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[7001])).
% 25.47/16.79 tff(7003,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 25.47/16.79 inference(transitivity,[status(thm)],[7002, 7000])).
% 25.47/16.79 tff(7004,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(7005,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 25.47/16.79 tff(7006,plain,
% 25.47/16.79 (v110(constB52) | (~v108(constB51))),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[7005, 564, 6999])).
% 25.47/16.79 tff(7007,plain,
% 25.47/16.79 (v110(constB52)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[7006, 6996])).
% 25.47/16.79 tff(7008,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7009,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(7010,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 25.47/16.79 tff(7011,plain,
% 25.47/16.79 (~v104(constB52)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[7010, 582, 6999, 6845])).
% 25.47/16.79 tff(7012,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7013,plain,
% 25.47/16.79 (((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7014,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[7013])).
% 25.47/16.79 tff(7015,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52))),
% 25.47/16.79 inference(transitivity,[status(thm)],[7014, 7012])).
% 25.47/16.79 tff(7016,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 25.47/16.79 inference(quant_inst,[status(thm)],[])).
% 25.47/16.79 tff(7017,plain,
% 25.47/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | v102(constB52)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 25.47/16.79 tff(7018,plain,
% 25.47/16.79 (v104(constB52) | v102(constB52)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[7017, 596, 6999])).
% 25.47/16.79 tff(7019,plain,
% 25.47/16.79 (v102(constB52)),
% 25.47/16.79 inference(unit_resolution,[status(thm)],[7018, 7011])).
% 25.47/16.79 tff(7020,plain,
% 25.47/16.79 (v1(constB52) <=> v1(constB52)),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7021,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 25.47/16.79 tff(7022,plain,
% 25.47/16.79 (v1(constB52)),
% 25.47/16.79 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 25.47/16.79 tff(7023,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7024,plain,
% 25.47/16.79 (((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))) <=> ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 25.47/16.79 inference(rewrite,[status(thm)],[])).
% 25.47/16.79 tff(7025,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))))),
% 25.47/16.79 inference(monotonicity,[status(thm)],[7024])).
% 25.47/16.79 tff(7026,plain,
% 25.47/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52)))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7025, 7023])).
% 25.53/16.80 tff(7027,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7028,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | (~v1(constB52)) | v101(constB52) | (~v102(constB52))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 25.53/16.80 tff(7029,plain,
% 25.53/16.80 (v101(constB52) | (~v102(constB52))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7028, 617, 6999, 7022])).
% 25.53/16.80 tff(7030,plain,
% 25.53/16.80 (v101(constB52)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7029, 7019])).
% 25.53/16.80 tff(7031,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7032,plain,
% 25.53/16.80 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7033,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7032])).
% 25.53/16.80 tff(7034,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7033, 7031])).
% 25.53/16.80 tff(7035,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7036,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7035, 7034])).
% 25.53/16.80 tff(7037,plain,
% 25.53/16.80 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7036, 635, 6999])).
% 25.53/16.80 tff(7038,plain,
% 25.53/16.80 (v100(constB52) | (~v110(constB52))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7037, 7030])).
% 25.53/16.80 tff(7039,plain,
% 25.53/16.80 (v100(constB52)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7038, 7007])).
% 25.53/16.80 tff(7040,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7041,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7042,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 25.53/16.80 tff(7043,plain,
% 25.53/16.80 (~v130(constB51, bitIndex2)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7042, 1005, 6938])).
% 25.53/16.80 tff(7044,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7045,plain,
% 25.53/16.80 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7046,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7045])).
% 25.53/16.80 tff(7047,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7046, 7044])).
% 25.53/16.80 tff(7048,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7049,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 25.53/16.80 tff(7050,plain,
% 25.53/16.80 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7049, 665, 6984])).
% 25.53/16.80 tff(7051,plain,
% 25.53/16.80 (~v127(constB51, bitIndex2)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7050, 7043])).
% 25.53/16.80 tff(7052,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7053,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7054,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 25.53/16.80 tff(7055,plain,
% 25.53/16.80 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7054, 683, 6999])).
% 25.53/16.80 tff(7056,plain,
% 25.53/16.80 (~v129(constB52, bitIndex2)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7055, 7051])).
% 25.53/16.80 tff(7057,plain,
% 25.53/16.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7058,plain,
% 25.53/16.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7059,plain,
% 25.53/16.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7058, 7057])).
% 25.53/16.80 tff(7060,plain,
% 25.53/16.80 ((~v90(constB52, bitIndex2)) | (~v100(constB52))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7059, 698, 7056])).
% 25.53/16.80 tff(7061,plain,
% 25.53/16.80 (~v90(constB52, bitIndex2)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7060, 7039])).
% 25.53/16.80 tff(7062,plain,
% 25.53/16.80 ((~v1(constB53)) <=> (~v1(constB53))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7063,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 25.53/16.80 tff(7064,plain,
% 25.53/16.80 (~v1(constB53)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7063, 7062])).
% 25.53/16.80 tff(7065,plain,
% 25.53/16.80 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7066,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 25.53/16.80 tff(7067,plain,
% 25.53/16.80 (nextState(constB52, constB53)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7066, 7065])).
% 25.53/16.80 tff(7068,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7069,plain,
% 25.53/16.80 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7070,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7069])).
% 25.53/16.80 tff(7071,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7070, 7068])).
% 25.53/16.80 tff(7072,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7073,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 25.53/16.80 tff(7074,plain,
% 25.53/16.80 (~v101(constB53)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7073, 342, 7067, 7064])).
% 25.53/16.80 tff(7075,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7076,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7077,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 25.53/16.80 tff(7078,plain,
% 25.53/16.80 (v101(constB53) | (~v100(constB53))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7077, 359, 7067])).
% 25.53/16.80 tff(7079,plain,
% 25.53/16.80 (~v100(constB53)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7078, 7074])).
% 25.53/16.80 tff(7080,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7081,plain,
% 25.53/16.80 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7082,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7081])).
% 25.53/16.80 tff(7083,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7082, 7080])).
% 25.53/16.80 tff(7084,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7085,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 25.53/16.80 tff(7086,plain,
% 25.53/16.80 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7085, 374, 7067])).
% 25.53/16.80 tff(7087,plain,
% 25.53/16.80 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7086, 7079])).
% 25.53/16.80 tff(7088,plain,
% 25.53/16.80 (~v90(constB53, bitIndex2)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7087, 7061])).
% 25.53/16.80 tff(7089,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7090,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7091,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 25.53/16.80 tff(7092,plain,
% 25.53/16.80 (v130(constB51, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7091, 1061, 6938])).
% 25.53/16.80 tff(7093,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7094,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7095,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7094, 7093])).
% 25.53/16.80 tff(7096,plain,
% 25.53/16.80 ((~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7095, 1075, 6984])).
% 25.53/16.80 tff(7097,plain,
% 25.53/16.80 (v127(constB51, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7096, 7092])).
% 25.53/16.80 tff(7098,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7099,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7100,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 25.53/16.80 tff(7101,plain,
% 25.53/16.80 ((~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7100, 1090, 6999])).
% 25.53/16.80 tff(7102,plain,
% 25.53/16.80 (v129(constB52, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7101, 7097])).
% 25.53/16.80 tff(7103,plain,
% 25.53/16.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7104,plain,
% 25.53/16.80 ((v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7105,plain,
% 25.53/16.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7104])).
% 25.53/16.80 tff(7106,plain,
% 25.53/16.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7105, 7103])).
% 25.53/16.80 tff(7107,plain,
% 25.53/16.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7108,plain,
% 25.53/16.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 25.53/16.80 tff(7109,plain,
% 25.53/16.80 (v90(constB52, bitIndex1) | (~v100(constB52))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7108, 1105, 7102])).
% 25.53/16.80 tff(7110,plain,
% 25.53/16.80 (v90(constB52, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7109, 7039])).
% 25.53/16.80 tff(7111,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7112,plain,
% 25.53/16.80 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7113,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7112])).
% 25.53/16.80 tff(7114,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7113, 7111])).
% 25.53/16.80 tff(7115,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7116,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 25.53/16.80 tff(7117,plain,
% 25.53/16.80 ((~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7116, 1123, 7067])).
% 25.53/16.80 tff(7118,plain,
% 25.53/16.80 ((~v90(constB52, bitIndex1)) | v90(constB53, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7117, 7079])).
% 25.53/16.80 tff(7119,plain,
% 25.53/16.80 (v90(constB53, bitIndex1)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7118, 7110])).
% 25.53/16.80 tff(7120,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7121,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7122,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7121, 7120])).
% 25.53/16.80 tff(7123,plain,
% 25.53/16.80 (~v130(constB51, bitIndex0)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7122, 1139, 6938])).
% 25.53/16.80 tff(7124,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7125,plain,
% 25.53/16.80 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7126,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7125])).
% 25.53/16.80 tff(7127,plain,
% 25.53/16.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7126, 7124])).
% 25.53/16.80 tff(7128,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7129,plain,
% 25.53/16.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 25.53/16.80 tff(7130,plain,
% 25.53/16.80 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7129, 1153, 6984])).
% 25.53/16.80 tff(7131,plain,
% 25.53/16.80 (~v127(constB51, bitIndex0)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7130, 7123])).
% 25.53/16.80 tff(7132,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7133,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7134,plain,
% 25.53/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7133, 7132])).
% 25.53/16.80 tff(7135,plain,
% 25.53/16.80 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7134, 1171, 6999])).
% 25.53/16.80 tff(7136,plain,
% 25.53/16.80 (~v129(constB52, bitIndex0)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7135, 7131])).
% 25.53/16.80 tff(7137,plain,
% 25.53/16.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7138,plain,
% 25.53/16.80 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 25.53/16.80 inference(rewrite,[status(thm)],[])).
% 25.53/16.80 tff(7139,plain,
% 25.53/16.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 25.53/16.80 inference(monotonicity,[status(thm)],[7138])).
% 25.53/16.80 tff(7140,plain,
% 25.53/16.80 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 25.53/16.80 inference(transitivity,[status(thm)],[7139, 7137])).
% 25.53/16.80 tff(7141,plain,
% 25.53/16.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 25.53/16.80 inference(quant_inst,[status(thm)],[])).
% 25.53/16.80 tff(7142,plain,
% 25.53/16.80 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 25.53/16.80 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 25.53/16.80 tff(7143,plain,
% 25.53/16.80 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7142, 1186, 7136])).
% 25.53/16.80 tff(7144,plain,
% 25.53/16.80 (~v90(constB52, bitIndex0)),
% 25.53/16.80 inference(unit_resolution,[status(thm)],[7143, 7039])).
% 25.53/16.80 tff(7145,plain,
% 25.53/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7146,plain,
% 25.53/16.81 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7147,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7146])).
% 25.53/16.81 tff(7148,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7147, 7145])).
% 25.53/16.81 tff(7149,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7150,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 25.53/16.81 tff(7151,plain,
% 25.53/16.81 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7150, 416, 7067])).
% 25.53/16.81 tff(7152,plain,
% 25.53/16.81 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7151, 7079])).
% 25.53/16.81 tff(7153,plain,
% 25.53/16.81 (~v90(constB53, bitIndex0)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7152, 7144])).
% 25.53/16.81 tff(7154,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7155,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7156,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7155, 7154])).
% 25.53/16.81 tff(7157,plain,
% 25.53/16.81 (v121(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7156, 1213, 7153, 7119, 7088])).
% 25.53/16.81 tff(7158,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7159,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7160,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 25.53/16.81 tff(7161,plain,
% 25.53/16.81 (v117(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7160, 1224, 7157])).
% 25.53/16.81 tff(7162,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB53)) | v116(constB53))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7163,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7164,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB53)) | v116(constB53)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 25.53/16.81 tff(7165,plain,
% 25.53/16.81 (v116(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7164, 476, 7161])).
% 25.53/16.81 tff(7166,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB53)) | v115(constB53))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7167,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7168,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB53)) | v115(constB53)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 25.53/16.81 tff(7169,plain,
% 25.53/16.81 (v115(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7168, 490, 7165])).
% 25.53/16.81 tff(7170,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB53)) | v114(constB53))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7171,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7172,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB53)) | v114(constB53)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 25.53/16.81 tff(7173,plain,
% 25.53/16.81 (v114(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7172, 504, 7169])).
% 25.53/16.81 tff(7174,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB53)) | v113(constB53))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7175,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7176,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB53)) | v113(constB53)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 25.53/16.81 tff(7177,plain,
% 25.53/16.81 (v113(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7176, 518, 7173])).
% 25.53/16.81 tff(7178,assumption,(v26(constB53)), introduced(assumption)).
% 25.53/16.81 tff(7179,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7180,plain,
% 25.53/16.81 ($false),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7179, 120, 7178])).
% 25.53/16.81 tff(7181,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 25.53/16.81 tff(7182,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7183,plain,
% 25.53/16.81 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7184,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7183])).
% 25.53/16.81 tff(7185,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7184, 7182])).
% 25.53/16.81 tff(7186,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7187,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 25.53/16.81 tff(7188,plain,
% 25.53/16.81 (v112(constB53) | (~v113(constB53))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7187, 532, 7181])).
% 25.53/16.81 tff(7189,plain,
% 25.53/16.81 (v112(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7188, 7177])).
% 25.53/16.81 tff(7190,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7191,plain,
% 25.53/16.81 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7192,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7191])).
% 25.53/16.81 tff(7193,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7192, 7190])).
% 25.53/16.81 tff(7194,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7195,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 25.53/16.81 tff(7196,plain,
% 25.53/16.81 (v108(constB53)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7195, 544, 7189])).
% 25.53/16.81 tff(7197,plain,
% 25.53/16.81 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7198,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 25.53/16.81 tff(7199,plain,
% 25.53/16.81 (nextState(constB53, constB54)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 25.53/16.81 tff(7200,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7201,plain,
% 25.53/16.81 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7202,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7201])).
% 25.53/16.81 tff(7203,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7202, 7200])).
% 25.53/16.81 tff(7204,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7205,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 25.53/16.81 tff(7206,plain,
% 25.53/16.81 (v110(constB54) | (~v108(constB53))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7205, 564, 7199])).
% 25.53/16.81 tff(7207,plain,
% 25.53/16.81 (v110(constB54)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7206, 7196])).
% 25.53/16.81 tff(7208,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7209,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7210,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7209, 7208])).
% 25.53/16.81 tff(7211,plain,
% 25.53/16.81 (~v104(constB54)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7210, 582, 7199, 7064])).
% 25.53/16.81 tff(7212,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7213,plain,
% 25.53/16.81 (((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7214,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7213])).
% 25.53/16.81 tff(7215,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7214, 7212])).
% 25.53/16.81 tff(7216,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7217,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | v102(constB54)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 25.53/16.81 tff(7218,plain,
% 25.53/16.81 (v104(constB54) | v102(constB54)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7217, 596, 7199])).
% 25.53/16.81 tff(7219,plain,
% 25.53/16.81 (v102(constB54)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7218, 7211])).
% 25.53/16.81 tff(7220,plain,
% 25.53/16.81 (v1(constB54) <=> v1(constB54)),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7221,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 25.53/16.81 tff(7222,plain,
% 25.53/16.81 (v1(constB54)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7221, 7220])).
% 25.53/16.81 tff(7223,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7224,plain,
% 25.53/16.81 (((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))) <=> ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7225,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7224])).
% 25.53/16.81 tff(7226,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7225, 7223])).
% 25.53/16.81 tff(7227,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7228,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | (~v1(constB54)) | v101(constB54) | (~v102(constB54))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 25.53/16.81 tff(7229,plain,
% 25.53/16.81 (v101(constB54) | (~v102(constB54))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7228, 617, 7199, 7222])).
% 25.53/16.81 tff(7230,plain,
% 25.53/16.81 (v101(constB54)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7229, 7219])).
% 25.53/16.81 tff(7231,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7232,plain,
% 25.53/16.81 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7233,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7232])).
% 25.53/16.81 tff(7234,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7233, 7231])).
% 25.53/16.81 tff(7235,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7236,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 25.53/16.81 tff(7237,plain,
% 25.53/16.81 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7236, 635, 7199])).
% 25.53/16.81 tff(7238,plain,
% 25.53/16.81 (v100(constB54) | (~v110(constB54))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7237, 7230])).
% 25.53/16.81 tff(7239,plain,
% 25.53/16.81 (v100(constB54)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7238, 7207])).
% 25.53/16.81 tff(7240,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7241,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7242,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 25.53/16.81 tff(7243,plain,
% 25.53/16.81 (~v130(constB53, bitIndex2)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7242, 1325, 7157])).
% 25.53/16.81 tff(7244,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7245,plain,
% 25.53/16.81 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7246,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7245])).
% 25.53/16.81 tff(7247,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7246, 7244])).
% 25.53/16.81 tff(7248,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7249,plain,
% 25.53/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 25.53/16.81 tff(7250,plain,
% 25.53/16.81 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7249, 665, 7181])).
% 25.53/16.81 tff(7251,plain,
% 25.53/16.81 (~v127(constB53, bitIndex2)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7250, 7243])).
% 25.53/16.81 tff(7252,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7253,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7254,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7253, 7252])).
% 25.53/16.81 tff(7255,plain,
% 25.53/16.81 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7254, 683, 7199])).
% 25.53/16.81 tff(7256,plain,
% 25.53/16.81 (~v129(constB54, bitIndex2)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7255, 7251])).
% 25.53/16.81 tff(7257,plain,
% 25.53/16.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7258,plain,
% 25.53/16.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7259,plain,
% 25.53/16.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 25.53/16.81 tff(7260,plain,
% 25.53/16.81 ((~v90(constB54, bitIndex2)) | (~v100(constB54))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7259, 698, 7256])).
% 25.53/16.81 tff(7261,plain,
% 25.53/16.81 (~v90(constB54, bitIndex2)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7260, 7239])).
% 25.53/16.81 tff(7262,plain,
% 25.53/16.81 ((~v1(constB55)) <=> (~v1(constB55))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7263,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 25.53/16.81 tff(7264,plain,
% 25.53/16.81 (~v1(constB55)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 25.53/16.81 tff(7265,plain,
% 25.53/16.81 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7266,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 25.53/16.81 tff(7267,plain,
% 25.53/16.81 (nextState(constB54, constB55)),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 25.53/16.81 tff(7268,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7269,plain,
% 25.53/16.81 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7270,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7269])).
% 25.53/16.81 tff(7271,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7270, 7268])).
% 25.53/16.81 tff(7272,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7273,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7272, 7271])).
% 25.53/16.81 tff(7274,plain,
% 25.53/16.81 (~v101(constB55)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7273, 342, 7267, 7264])).
% 25.53/16.81 tff(7275,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7276,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7277,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 25.53/16.81 tff(7278,plain,
% 25.53/16.81 (v101(constB55) | (~v100(constB55))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7277, 359, 7267])).
% 25.53/16.81 tff(7279,plain,
% 25.53/16.81 (~v100(constB55)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7278, 7274])).
% 25.53/16.81 tff(7280,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7281,plain,
% 25.53/16.81 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.81 tff(7282,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))))),
% 25.53/16.81 inference(monotonicity,[status(thm)],[7281])).
% 25.53/16.81 tff(7283,plain,
% 25.53/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 25.53/16.81 inference(transitivity,[status(thm)],[7282, 7280])).
% 25.53/16.81 tff(7284,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 25.53/16.81 inference(quant_inst,[status(thm)],[])).
% 25.53/16.81 tff(7285,plain,
% 25.53/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 25.53/16.81 inference(modus_ponens,[status(thm)],[7284, 7283])).
% 25.53/16.81 tff(7286,plain,
% 25.53/16.81 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7285, 374, 7267])).
% 25.53/16.81 tff(7287,plain,
% 25.53/16.81 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7286, 7279])).
% 25.53/16.81 tff(7288,plain,
% 25.53/16.81 (~v90(constB55, bitIndex2)),
% 25.53/16.81 inference(unit_resolution,[status(thm)],[7287, 7261])).
% 25.53/16.81 tff(7289,plain,
% 25.53/16.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1))),
% 25.53/16.81 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7290,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7291,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 25.53/16.82 tff(7292,plain,
% 25.53/16.82 (v130(constB53, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7291, 1375, 7157])).
% 25.53/16.82 tff(7293,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7294,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7295,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 25.53/16.82 tff(7296,plain,
% 25.53/16.82 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7295, 1075, 7181])).
% 25.53/16.82 tff(7297,plain,
% 25.53/16.82 (v127(constB53, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7296, 7292])).
% 25.53/16.82 tff(7298,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7299,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7300,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7299, 7298])).
% 25.53/16.82 tff(7301,plain,
% 25.53/16.82 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7300, 1090, 7199])).
% 25.53/16.82 tff(7302,plain,
% 25.53/16.82 (v129(constB54, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7301, 7297])).
% 25.53/16.82 tff(7303,plain,
% 25.53/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7304,plain,
% 25.53/16.82 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7305,plain,
% 25.53/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7304])).
% 25.53/16.82 tff(7306,plain,
% 25.53/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7305, 7303])).
% 25.53/16.82 tff(7307,plain,
% 25.53/16.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7308,plain,
% 25.53/16.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7307, 7306])).
% 25.53/16.82 tff(7309,plain,
% 25.53/16.82 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7308, 1105, 7302])).
% 25.53/16.82 tff(7310,plain,
% 25.53/16.82 (v90(constB54, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7309, 7239])).
% 25.53/16.82 tff(7311,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7312,plain,
% 25.53/16.82 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7313,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7312])).
% 25.53/16.82 tff(7314,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7313, 7311])).
% 25.53/16.82 tff(7315,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7316,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7315, 7314])).
% 25.53/16.82 tff(7317,plain,
% 25.53/16.82 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7316, 1123, 7267])).
% 25.53/16.82 tff(7318,plain,
% 25.53/16.82 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7317, 7279])).
% 25.53/16.82 tff(7319,plain,
% 25.53/16.82 (v90(constB55, bitIndex1)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7318, 7310])).
% 25.53/16.82 tff(7320,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7321,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7322,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 25.53/16.82 tff(7323,plain,
% 25.53/16.82 (v130(constB53, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7322, 1413, 7157])).
% 25.53/16.82 tff(7324,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7325,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7326,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 25.53/16.82 tff(7327,plain,
% 25.53/16.82 ((~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7326, 822, 7181])).
% 25.53/16.82 tff(7328,plain,
% 25.53/16.82 (v127(constB53, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7327, 7323])).
% 25.53/16.82 tff(7329,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7330,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7331,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7330, 7329])).
% 25.53/16.82 tff(7332,plain,
% 25.53/16.82 ((~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7331, 837, 7199])).
% 25.53/16.82 tff(7333,plain,
% 25.53/16.82 (v129(constB54, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7332, 7328])).
% 25.53/16.82 tff(7334,plain,
% 25.53/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7335,plain,
% 25.53/16.82 ((v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7336,plain,
% 25.53/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7335])).
% 25.53/16.82 tff(7337,plain,
% 25.53/16.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7336, 7334])).
% 25.53/16.82 tff(7338,plain,
% 25.53/16.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7339,plain,
% 25.53/16.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 25.53/16.82 tff(7340,plain,
% 25.53/16.82 (v90(constB54, bitIndex0) | (~v100(constB54))),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7339, 852, 7333])).
% 25.53/16.82 tff(7341,plain,
% 25.53/16.82 (v90(constB54, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7340, 7239])).
% 25.53/16.82 tff(7342,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7343,plain,
% 25.53/16.82 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7344,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7343])).
% 25.53/16.82 tff(7345,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7344, 7342])).
% 25.53/16.82 tff(7346,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7347,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 25.53/16.82 tff(7348,plain,
% 25.53/16.82 ((~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7347, 870, 7267])).
% 25.53/16.82 tff(7349,plain,
% 25.53/16.82 ((~v90(constB54, bitIndex0)) | v90(constB55, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7348, 7279])).
% 25.53/16.82 tff(7350,plain,
% 25.53/16.82 (v90(constB55, bitIndex0)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7349, 7341])).
% 25.53/16.82 tff(7351,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7352,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7353,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 25.53/16.82 tff(7354,plain,
% 25.53/16.82 (v122(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7353, 1454, 7350, 7319, 7288])).
% 25.53/16.82 tff(7355,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7356,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7357,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 25.53/16.82 tff(7358,plain,
% 25.53/16.82 (v116(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7357, 1465, 7354])).
% 25.53/16.82 tff(7359,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7360,plain,
% 25.53/16.82 (((~v116(constB55)) | v115(constB55)) <=> (v115(constB55) | (~v116(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7361,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7360])).
% 25.53/16.82 tff(7362,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7361, 7359])).
% 25.53/16.82 tff(7363,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7364,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 25.53/16.82 tff(7365,plain,
% 25.53/16.82 (v115(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7364, 490, 7358])).
% 25.53/16.82 tff(7366,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7367,plain,
% 25.53/16.82 (((~v115(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v115(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7368,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7367])).
% 25.53/16.82 tff(7369,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7368, 7366])).
% 25.53/16.82 tff(7370,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7371,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 25.53/16.82 tff(7372,plain,
% 25.53/16.82 (v114(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7371, 504, 7365])).
% 25.53/16.82 tff(7373,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7374,plain,
% 25.53/16.82 (((~v114(constB55)) | v113(constB55)) <=> (v113(constB55) | (~v114(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7375,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7374])).
% 25.53/16.82 tff(7376,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7375, 7373])).
% 25.53/16.82 tff(7377,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7378,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 25.53/16.82 tff(7379,plain,
% 25.53/16.82 (v113(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7378, 518, 7372])).
% 25.53/16.82 tff(7380,assumption,(~v108(constB55)), introduced(assumption)).
% 25.53/16.82 tff(7381,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7382,plain,
% 25.53/16.82 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7383,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7382])).
% 25.53/16.82 tff(7384,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7383, 7381])).
% 25.53/16.82 tff(7385,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7386,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 25.53/16.82 tff(7387,plain,
% 25.53/16.82 (~v112(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7386, 544, 7380])).
% 25.53/16.82 tff(7388,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v26(constB55)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v26(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7389,plain,
% 25.53/16.82 (((~v26(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v26(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7390,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v26(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7389])).
% 25.53/16.82 tff(7391,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v26(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7390, 7388])).
% 25.53/16.82 tff(7392,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB55)) | v108(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7393,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v26(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 25.53/16.82 tff(7394,plain,
% 25.53/16.82 (~v26(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7393, 1770, 7380])).
% 25.53/16.82 tff(7395,assumption,(v113(constB55)), introduced(assumption)).
% 25.53/16.82 tff(7396,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7397,plain,
% 25.53/16.82 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7398,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7397])).
% 25.53/16.82 tff(7399,plain,
% 25.53/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7398, 7396])).
% 25.53/16.82 tff(7400,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7401,plain,
% 25.53/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 25.53/16.82 tff(7402,plain,
% 25.53/16.82 (v26(constB55) | v112(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7401, 532, 7395])).
% 25.53/16.82 tff(7403,plain,
% 25.53/16.82 ($false),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7402, 7394, 7387])).
% 25.53/16.82 tff(7404,plain,(v108(constB55) | (~v113(constB55))), inference(lemma,lemma(discharge,[]))).
% 25.53/16.82 tff(7405,plain,
% 25.53/16.82 (v108(constB55)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7404, 7379])).
% 25.53/16.82 tff(7406,plain,
% 25.53/16.82 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7407,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 25.53/16.82 tff(7408,plain,
% 25.53/16.82 (nextState(constB55, constB56)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 25.53/16.82 tff(7409,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7410,plain,
% 25.53/16.82 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7411,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7410])).
% 25.53/16.82 tff(7412,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7411, 7409])).
% 25.53/16.82 tff(7413,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7414,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 25.53/16.82 tff(7415,plain,
% 25.53/16.82 (v110(constB56) | (~v108(constB55))),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7414, 564, 7408])).
% 25.53/16.82 tff(7416,plain,
% 25.53/16.82 (v110(constB56)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7415, 7405])).
% 25.53/16.82 tff(7417,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7418,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7419,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 25.53/16.82 tff(7420,plain,
% 25.53/16.82 (~v104(constB56)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7419, 582, 7408, 7264])).
% 25.53/16.82 tff(7421,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7422,plain,
% 25.53/16.82 (((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7423,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7422])).
% 25.53/16.82 tff(7424,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56))),
% 25.53/16.82 inference(transitivity,[status(thm)],[7423, 7421])).
% 25.53/16.82 tff(7425,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 25.53/16.82 inference(quant_inst,[status(thm)],[])).
% 25.53/16.82 tff(7426,plain,
% 25.53/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | v102(constB56)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 25.53/16.82 tff(7427,plain,
% 25.53/16.82 (v104(constB56) | v102(constB56)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7426, 596, 7408])).
% 25.53/16.82 tff(7428,plain,
% 25.53/16.82 (v102(constB56)),
% 25.53/16.82 inference(unit_resolution,[status(thm)],[7427, 7420])).
% 25.53/16.82 tff(7429,plain,
% 25.53/16.82 (v1(constB56) <=> v1(constB56)),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7430,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 25.53/16.82 tff(7431,plain,
% 25.53/16.82 (v1(constB56)),
% 25.53/16.82 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 25.53/16.82 tff(7432,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7433,plain,
% 25.53/16.82 (((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))) <=> ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 25.53/16.82 inference(rewrite,[status(thm)],[])).
% 25.53/16.82 tff(7434,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))))),
% 25.53/16.82 inference(monotonicity,[status(thm)],[7433])).
% 25.53/16.82 tff(7435,plain,
% 25.53/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56)))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7434, 7432])).
% 25.53/16.83 tff(7436,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7437,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | (~v1(constB56)) | v101(constB56) | (~v102(constB56))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 25.53/16.83 tff(7438,plain,
% 25.53/16.83 (v101(constB56) | (~v102(constB56))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7437, 617, 7408, 7431])).
% 25.53/16.83 tff(7439,plain,
% 25.53/16.83 (v101(constB56)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7438, 7428])).
% 25.53/16.83 tff(7440,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7441,plain,
% 25.53/16.83 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7442,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7441])).
% 25.53/16.83 tff(7443,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7442, 7440])).
% 25.53/16.83 tff(7444,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7445,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 25.53/16.83 tff(7446,plain,
% 25.53/16.83 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7445, 635, 7408])).
% 25.53/16.83 tff(7447,plain,
% 25.53/16.83 (v100(constB56) | (~v110(constB56))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7446, 7439])).
% 25.53/16.83 tff(7448,plain,
% 25.53/16.83 (v100(constB56)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7447, 7416])).
% 25.53/16.83 tff(7449,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7450,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7451,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 25.53/16.83 tff(7452,plain,
% 25.53/16.83 (v130(constB55, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7451, 1546, 7354])).
% 25.53/16.83 tff(7453,assumption,(v26(constB55)), introduced(assumption)).
% 25.53/16.83 tff(7454,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7455,plain,
% 25.53/16.83 ($false),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7454, 120, 7453])).
% 25.53/16.83 tff(7456,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 25.53/16.83 tff(7457,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7458,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7459,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 25.53/16.83 tff(7460,plain,
% 25.53/16.83 ((~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7459, 1560, 7456])).
% 25.53/16.83 tff(7461,plain,
% 25.53/16.83 (v127(constB55, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7460, 7452])).
% 25.53/16.83 tff(7462,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7463,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7464,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 25.53/16.83 tff(7465,plain,
% 25.53/16.83 ((~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7464, 1575, 7408])).
% 25.53/16.83 tff(7466,plain,
% 25.53/16.83 (v129(constB56, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7465, 7461])).
% 25.53/16.83 tff(7467,plain,
% 25.53/16.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7468,plain,
% 25.53/16.83 ((v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7469,plain,
% 25.53/16.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7468])).
% 25.53/16.83 tff(7470,plain,
% 25.53/16.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7469, 7467])).
% 25.53/16.83 tff(7471,plain,
% 25.53/16.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7472,plain,
% 25.53/16.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 25.53/16.83 tff(7473,plain,
% 25.53/16.83 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7472, 1590, 7466])).
% 25.53/16.83 tff(7474,plain,
% 25.53/16.83 (v90(constB56, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7473, 7448])).
% 25.53/16.83 tff(7475,plain,
% 25.53/16.83 ((~v1(constB57)) <=> (~v1(constB57))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7476,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 25.53/16.83 tff(7477,plain,
% 25.53/16.83 (~v1(constB57)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7476, 7475])).
% 25.53/16.83 tff(7478,plain,
% 25.53/16.83 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7479,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 25.53/16.83 tff(7480,plain,
% 25.53/16.83 (nextState(constB56, constB57)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7479, 7478])).
% 25.53/16.83 tff(7481,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7482,plain,
% 25.53/16.83 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7483,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7482])).
% 25.53/16.83 tff(7484,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7483, 7481])).
% 25.53/16.83 tff(7485,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7486,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 25.53/16.83 tff(7487,plain,
% 25.53/16.83 (~v101(constB57)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7486, 342, 7480, 7477])).
% 25.53/16.83 tff(7488,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7489,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7490,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 25.53/16.83 tff(7491,plain,
% 25.53/16.83 (v101(constB57) | (~v100(constB57))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7490, 359, 7480])).
% 25.53/16.83 tff(7492,plain,
% 25.53/16.83 (~v100(constB57)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7491, 7487])).
% 25.53/16.83 tff(7493,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7494,plain,
% 25.53/16.83 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7495,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7494])).
% 25.53/16.83 tff(7496,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7495, 7493])).
% 25.53/16.83 tff(7497,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7498,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 25.53/16.83 tff(7499,plain,
% 25.53/16.83 ((~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7498, 1626, 7480])).
% 25.53/16.83 tff(7500,plain,
% 25.53/16.83 ((~v90(constB56, bitIndex2)) | v90(constB57, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7499, 7492])).
% 25.53/16.83 tff(7501,plain,
% 25.53/16.83 (v90(constB57, bitIndex2)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7500, 7474])).
% 25.53/16.83 tff(7502,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7503,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7504,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 25.53/16.83 tff(7505,plain,
% 25.53/16.83 (~v130(constB55, bitIndex1)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7504, 1642, 7354])).
% 25.53/16.83 tff(7506,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7507,plain,
% 25.53/16.83 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7508,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7507])).
% 25.53/16.83 tff(7509,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7508, 7506])).
% 25.53/16.83 tff(7510,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7511,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7510, 7509])).
% 25.53/16.83 tff(7512,plain,
% 25.53/16.83 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7511, 751, 7456])).
% 25.53/16.83 tff(7513,plain,
% 25.53/16.83 (~v127(constB55, bitIndex1)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7512, 7505])).
% 25.53/16.83 tff(7514,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7515,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7516,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 25.53/16.83 tff(7517,plain,
% 25.53/16.83 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7516, 769, 7408])).
% 25.53/16.83 tff(7518,plain,
% 25.53/16.83 (~v129(constB56, bitIndex1)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7517, 7513])).
% 25.53/16.83 tff(7519,plain,
% 25.53/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7520,plain,
% 25.53/16.83 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7521,plain,
% 25.53/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7520])).
% 25.53/16.83 tff(7522,plain,
% 25.53/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7521, 7519])).
% 25.53/16.83 tff(7523,plain,
% 25.53/16.83 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7524,plain,
% 25.53/16.83 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 25.53/16.83 tff(7525,plain,
% 25.53/16.83 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7524, 784, 7518])).
% 25.53/16.83 tff(7526,plain,
% 25.53/16.83 (~v90(constB56, bitIndex1)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7525, 7448])).
% 25.53/16.83 tff(7527,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7528,plain,
% 25.53/16.83 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7529,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7528])).
% 25.53/16.83 tff(7530,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7529, 7527])).
% 25.53/16.83 tff(7531,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7532,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 25.53/16.83 tff(7533,plain,
% 25.53/16.83 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7532, 395, 7480])).
% 25.53/16.83 tff(7534,plain,
% 25.53/16.83 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7533, 7492])).
% 25.53/16.83 tff(7535,plain,
% 25.53/16.83 (~v90(constB57, bitIndex1)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7534, 7526])).
% 25.53/16.83 tff(7536,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7537,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7538,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 25.53/16.83 tff(7539,plain,
% 25.53/16.83 (~v130(constB55, bitIndex0)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7538, 1683, 7354])).
% 25.53/16.83 tff(7540,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7541,plain,
% 25.53/16.83 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7542,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 25.53/16.83 inference(monotonicity,[status(thm)],[7541])).
% 25.53/16.83 tff(7543,plain,
% 25.53/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 25.53/16.83 inference(transitivity,[status(thm)],[7542, 7540])).
% 25.53/16.83 tff(7544,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7545,plain,
% 25.53/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 25.53/16.83 tff(7546,plain,
% 25.53/16.83 ((~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7545, 1153, 7456])).
% 25.53/16.83 tff(7547,plain,
% 25.53/16.83 (~v127(constB55, bitIndex0)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7546, 7539])).
% 25.53/16.83 tff(7548,plain,
% 25.53/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7549,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 25.53/16.83 inference(quant_inst,[status(thm)],[])).
% 25.53/16.83 tff(7550,plain,
% 25.53/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 25.53/16.83 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 25.53/16.83 tff(7551,plain,
% 25.53/16.83 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7550, 1171, 7408])).
% 25.53/16.83 tff(7552,plain,
% 25.53/16.83 (~v129(constB56, bitIndex0)),
% 25.53/16.83 inference(unit_resolution,[status(thm)],[7551, 7547])).
% 25.53/16.83 tff(7553,plain,
% 25.53/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7554,plain,
% 25.53/16.83 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 25.53/16.83 inference(rewrite,[status(thm)],[])).
% 25.53/16.83 tff(7555,plain,
% 25.53/16.83 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7554])).
% 25.53/16.84 tff(7556,plain,
% 25.53/16.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7555, 7553])).
% 25.53/16.84 tff(7557,plain,
% 25.53/16.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7558,plain,
% 25.53/16.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 25.53/16.84 tff(7559,plain,
% 25.53/16.84 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7558, 1186, 7552])).
% 25.53/16.84 tff(7560,plain,
% 25.53/16.84 (~v90(constB56, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7559, 7448])).
% 25.53/16.84 tff(7561,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7562,plain,
% 25.53/16.84 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7563,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7562])).
% 25.53/16.84 tff(7564,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7563, 7561])).
% 25.53/16.84 tff(7565,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7566,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 25.53/16.84 tff(7567,plain,
% 25.53/16.84 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7566, 416, 7480])).
% 25.53/16.84 tff(7568,plain,
% 25.53/16.84 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7567, 7492])).
% 25.53/16.84 tff(7569,plain,
% 25.53/16.84 (~v90(constB57, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7568, 7560])).
% 25.53/16.84 tff(7570,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7571,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7572,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 25.53/16.84 tff(7573,plain,
% 25.53/16.84 (v123(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7572, 1727, 7569, 7535, 7501])).
% 25.53/16.84 tff(7574,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB57)) | v115(constB57))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7575,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7576,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB57)) | v115(constB57)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 25.53/16.84 tff(7577,plain,
% 25.53/16.84 (v115(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7576, 1784, 7573])).
% 25.53/16.84 tff(7578,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7579,plain,
% 25.53/16.84 (((~v115(constB57)) | v114(constB57)) <=> (v114(constB57) | (~v115(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7580,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7579])).
% 25.53/16.84 tff(7581,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7580, 7578])).
% 25.53/16.84 tff(7582,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7583,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7582, 7581])).
% 25.53/16.84 tff(7584,plain,
% 25.53/16.84 (v114(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7583, 504, 7577])).
% 25.53/16.84 tff(7585,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7586,plain,
% 25.53/16.84 (((~v114(constB57)) | v113(constB57)) <=> (v113(constB57) | (~v114(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7587,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7586])).
% 25.53/16.84 tff(7588,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7587, 7585])).
% 25.53/16.84 tff(7589,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7590,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 25.53/16.84 tff(7591,plain,
% 25.53/16.84 (v113(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7590, 518, 7584])).
% 25.53/16.84 tff(7592,assumption,(v26(constB57)), introduced(assumption)).
% 25.53/16.84 tff(7593,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7594,plain,
% 25.53/16.84 ($false),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7593, 120, 7592])).
% 25.53/16.84 tff(7595,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 25.53/16.84 tff(7596,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7597,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7598,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 25.53/16.84 tff(7599,plain,
% 25.53/16.84 ((~v113(constB57)) | v112(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7598, 532, 7595])).
% 25.53/16.84 tff(7600,plain,
% 25.53/16.84 (v112(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7599, 7591])).
% 25.53/16.84 tff(7601,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7602,plain,
% 25.53/16.84 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7603,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7602])).
% 25.53/16.84 tff(7604,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7603, 7601])).
% 25.53/16.84 tff(7605,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7606,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 25.53/16.84 tff(7607,plain,
% 25.53/16.84 (v108(constB57)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7606, 544, 7600])).
% 25.53/16.84 tff(7608,plain,
% 25.53/16.84 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7609,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 25.53/16.84 tff(7610,plain,
% 25.53/16.84 (nextState(constB57, constB58)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7609, 7608])).
% 25.53/16.84 tff(7611,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7612,plain,
% 25.53/16.84 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7613,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7612])).
% 25.53/16.84 tff(7614,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7613, 7611])).
% 25.53/16.84 tff(7615,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7616,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 25.53/16.84 tff(7617,plain,
% 25.53/16.84 (v110(constB58) | (~v108(constB57))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7616, 564, 7610])).
% 25.53/16.84 tff(7618,plain,
% 25.53/16.84 (v110(constB58)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7617, 7607])).
% 25.53/16.84 tff(7619,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7620,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7621,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 25.53/16.84 tff(7622,plain,
% 25.53/16.84 (~v104(constB58)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7621, 582, 7610, 7477])).
% 25.53/16.84 tff(7623,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7624,plain,
% 25.53/16.84 (((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7625,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7624])).
% 25.53/16.84 tff(7626,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7625, 7623])).
% 25.53/16.84 tff(7627,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7628,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | v102(constB58)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 25.53/16.84 tff(7629,plain,
% 25.53/16.84 (v104(constB58) | v102(constB58)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7628, 596, 7610])).
% 25.53/16.84 tff(7630,plain,
% 25.53/16.84 (v102(constB58)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7629, 7622])).
% 25.53/16.84 tff(7631,plain,
% 25.53/16.84 (v1(constB58) <=> v1(constB58)),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7632,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 25.53/16.84 tff(7633,plain,
% 25.53/16.84 (v1(constB58)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 25.53/16.84 tff(7634,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7635,plain,
% 25.53/16.84 (((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))) <=> ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7636,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7635])).
% 25.53/16.84 tff(7637,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7636, 7634])).
% 25.53/16.84 tff(7638,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7639,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | (~v1(constB58)) | v101(constB58) | (~v102(constB58))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7638, 7637])).
% 25.53/16.84 tff(7640,plain,
% 25.53/16.84 (v101(constB58) | (~v102(constB58))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7639, 617, 7610, 7633])).
% 25.53/16.84 tff(7641,plain,
% 25.53/16.84 (v101(constB58)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7640, 7630])).
% 25.53/16.84 tff(7642,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7643,plain,
% 25.53/16.84 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7644,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7643])).
% 25.53/16.84 tff(7645,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7644, 7642])).
% 25.53/16.84 tff(7646,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7647,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 25.53/16.84 tff(7648,plain,
% 25.53/16.84 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7647, 635, 7610])).
% 25.53/16.84 tff(7649,plain,
% 25.53/16.84 (v100(constB58) | (~v110(constB58))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7648, 7641])).
% 25.53/16.84 tff(7650,plain,
% 25.53/16.84 (v100(constB58)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7649, 7618])).
% 25.53/16.84 tff(7651,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7652,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7653,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 25.53/16.84 tff(7654,plain,
% 25.53/16.84 (v130(constB57, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7653, 1934, 7573])).
% 25.53/16.84 tff(7655,plain,
% 25.53/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7656,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7657,plain,
% 25.53/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 25.53/16.84 tff(7658,plain,
% 25.53/16.84 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7657, 822, 7595])).
% 25.53/16.84 tff(7659,plain,
% 25.53/16.84 (v127(constB57, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7658, 7654])).
% 25.53/16.84 tff(7660,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7661,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7662,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 25.53/16.84 tff(7663,plain,
% 25.53/16.84 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7662, 837, 7610])).
% 25.53/16.84 tff(7664,plain,
% 25.53/16.84 (v129(constB58, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7663, 7659])).
% 25.53/16.84 tff(7665,plain,
% 25.53/16.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7666,plain,
% 25.53/16.84 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7667,plain,
% 25.53/16.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7666])).
% 25.53/16.84 tff(7668,plain,
% 25.53/16.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7667, 7665])).
% 25.53/16.84 tff(7669,plain,
% 25.53/16.84 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7670,plain,
% 25.53/16.84 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 25.53/16.84 tff(7671,plain,
% 25.53/16.84 (v90(constB58, bitIndex0) | (~v100(constB58))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7670, 852, 7664])).
% 25.53/16.84 tff(7672,plain,
% 25.53/16.84 (v90(constB58, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7671, 7650])).
% 25.53/16.84 tff(7673,plain,
% 25.53/16.84 ((~v1(constB59)) <=> (~v1(constB59))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7674,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 25.53/16.84 tff(7675,plain,
% 25.53/16.84 (~v1(constB59)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 25.53/16.84 tff(7676,plain,
% 25.53/16.84 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7677,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 25.53/16.84 tff(7678,plain,
% 25.53/16.84 (nextState(constB58, constB59)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 25.53/16.84 tff(7679,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7680,plain,
% 25.53/16.84 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7681,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7680])).
% 25.53/16.84 tff(7682,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7681, 7679])).
% 25.53/16.84 tff(7683,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7684,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 25.53/16.84 tff(7685,plain,
% 25.53/16.84 (~v101(constB59)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7684, 342, 7678, 7675])).
% 25.53/16.84 tff(7686,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7687,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7688,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7687, 7686])).
% 25.53/16.84 tff(7689,plain,
% 25.53/16.84 (v101(constB59) | (~v100(constB59))),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7688, 359, 7678])).
% 25.53/16.84 tff(7690,plain,
% 25.53/16.84 (~v100(constB59)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7689, 7685])).
% 25.53/16.84 tff(7691,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7692,plain,
% 25.53/16.84 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 25.53/16.84 inference(rewrite,[status(thm)],[])).
% 25.53/16.84 tff(7693,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)))),
% 25.53/16.84 inference(monotonicity,[status(thm)],[7692])).
% 25.53/16.84 tff(7694,plain,
% 25.53/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 25.53/16.84 inference(transitivity,[status(thm)],[7693, 7691])).
% 25.53/16.84 tff(7695,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))),
% 25.53/16.84 inference(quant_inst,[status(thm)],[])).
% 25.53/16.84 tff(7696,plain,
% 25.53/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)),
% 25.53/16.84 inference(modus_ponens,[status(thm)],[7695, 7694])).
% 25.53/16.84 tff(7697,plain,
% 25.53/16.84 ((~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)),
% 25.53/16.84 inference(unit_resolution,[status(thm)],[7696, 870, 7678])).
% 25.53/16.85 tff(7698,plain,
% 25.53/16.85 ((~v90(constB58, bitIndex0)) | v90(constB59, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7697, 7690])).
% 25.53/16.85 tff(7699,plain,
% 25.53/16.85 (v90(constB59, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7698, 7672])).
% 25.53/16.85 tff(7700,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7701,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7702,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7701, 7700])).
% 25.53/16.85 tff(7703,plain,
% 25.53/16.85 (~v130(constB57, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7702, 1893, 7573])).
% 25.53/16.85 tff(7704,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7705,plain,
% 25.53/16.85 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7706,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7705])).
% 25.53/16.85 tff(7707,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7706, 7704])).
% 25.53/16.85 tff(7708,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7709,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 25.53/16.85 tff(7710,plain,
% 25.53/16.85 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7709, 751, 7595])).
% 25.53/16.85 tff(7711,plain,
% 25.53/16.85 (~v127(constB57, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7710, 7703])).
% 25.53/16.85 tff(7712,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7713,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7714,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 25.53/16.85 tff(7715,plain,
% 25.53/16.85 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7714, 769, 7610])).
% 25.53/16.85 tff(7716,plain,
% 25.53/16.85 (~v129(constB58, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7715, 7711])).
% 25.53/16.85 tff(7717,plain,
% 25.53/16.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7718,plain,
% 25.53/16.85 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7719,plain,
% 25.53/16.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7718])).
% 25.53/16.85 tff(7720,plain,
% 25.53/16.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7719, 7717])).
% 25.53/16.85 tff(7721,plain,
% 25.53/16.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7722,plain,
% 25.53/16.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 25.53/16.85 tff(7723,plain,
% 25.53/16.85 ((~v90(constB58, bitIndex1)) | (~v100(constB58))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7722, 784, 7716])).
% 25.53/16.85 tff(7724,plain,
% 25.53/16.85 (~v90(constB58, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7723, 7650])).
% 25.53/16.85 tff(7725,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7726,plain,
% 25.53/16.85 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7727,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7726])).
% 25.53/16.85 tff(7728,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7727, 7725])).
% 25.53/16.85 tff(7729,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7730,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7729, 7728])).
% 25.53/16.85 tff(7731,plain,
% 25.53/16.85 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7730, 395, 7678])).
% 25.53/16.85 tff(7732,plain,
% 25.53/16.85 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7731, 7690])).
% 25.53/16.85 tff(7733,plain,
% 25.53/16.85 (~v90(constB59, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7732, 7724])).
% 25.53/16.85 tff(7734,assumption,(~v90(constB58, bitIndex2)), introduced(assumption)).
% 25.53/16.85 tff(7735,assumption,(v122(constB55)), introduced(assumption)).
% 25.53/16.85 tff(7736,plain,
% 25.53/16.85 (v116(constB55)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7357, 1465, 7735])).
% 25.53/16.85 tff(7737,plain,
% 25.53/16.85 (v115(constB55)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7364, 490, 7736])).
% 25.53/16.85 tff(7738,plain,
% 25.53/16.85 (v114(constB55)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7371, 504, 7737])).
% 25.53/16.85 tff(7739,plain,
% 25.53/16.85 (v113(constB55)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7378, 518, 7738])).
% 25.53/16.85 tff(7740,plain,
% 25.53/16.85 (v108(constB55)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7404, 7739])).
% 25.53/16.85 tff(7741,plain,
% 25.53/16.85 (v110(constB56)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7415, 7740])).
% 25.53/16.85 tff(7742,plain,
% 25.53/16.85 (v100(constB56)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7447, 7741])).
% 25.53/16.85 tff(7743,plain,
% 25.53/16.85 (v130(constB55, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7451, 1546, 7735])).
% 25.53/16.85 tff(7744,plain,
% 25.53/16.85 (v127(constB55, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7460, 7743])).
% 25.53/16.85 tff(7745,plain,
% 25.53/16.85 (v129(constB56, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7465, 7744])).
% 25.53/16.85 tff(7746,plain,
% 25.53/16.85 (v90(constB56, bitIndex2) | (~v100(constB56))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7472, 1590, 7745])).
% 25.53/16.85 tff(7747,plain,
% 25.53/16.85 (v90(constB56, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7746, 7742])).
% 25.53/16.85 tff(7748,plain,
% 25.53/16.85 (v90(constB57, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7500, 7747])).
% 25.53/16.85 tff(7749,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7750,plain,
% 25.53/16.85 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)) <=> ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7751,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7750])).
% 25.53/16.85 tff(7752,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7751, 7749])).
% 25.53/16.85 tff(7753,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7754,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 25.53/16.85 tff(7755,plain,
% 25.53/16.85 ((~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7754, 1626, 7610])).
% 25.53/16.85 tff(7756,plain,
% 25.53/16.85 (v100(constB58)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7755, 7748, 7734])).
% 25.53/16.85 tff(7757,plain,
% 25.53/16.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7758,plain,
% 25.53/16.85 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7759,plain,
% 25.53/16.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7758])).
% 25.53/16.85 tff(7760,plain,
% 25.53/16.85 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7759, 7757])).
% 25.53/16.85 tff(7761,plain,
% 25.53/16.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7762,plain,
% 25.53/16.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 25.53/16.85 tff(7763,plain,
% 25.53/16.85 ((~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7762, 1590, 7734])).
% 25.53/16.85 tff(7764,plain,
% 25.53/16.85 (~v129(constB58, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7763, 7756])).
% 25.53/16.85 tff(7765,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7766,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7767,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7766, 7765])).
% 25.53/16.85 tff(7768,plain,
% 25.53/16.85 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7767, 1575, 7610])).
% 25.53/16.85 tff(7769,plain,
% 25.53/16.85 (~v127(constB57, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7768, 7764])).
% 25.53/16.85 tff(7770,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7771,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7772,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 25.53/16.85 tff(7773,plain,
% 25.53/16.85 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7772, 1560, 7595])).
% 25.53/16.85 tff(7774,plain,
% 25.53/16.85 (~v130(constB57, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7773, 7769])).
% 25.53/16.85 tff(7775,plain,
% 25.53/16.85 (~v130(constB55, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7504, 1642, 7735])).
% 25.53/16.85 tff(7776,plain,
% 25.53/16.85 (~v127(constB55, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7512, 7775])).
% 25.53/16.85 tff(7777,plain,
% 25.53/16.85 (~v129(constB56, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7517, 7776])).
% 25.53/16.85 tff(7778,plain,
% 25.53/16.85 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7524, 784, 7777])).
% 25.53/16.85 tff(7779,plain,
% 25.53/16.85 (~v90(constB56, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7778, 7742])).
% 25.53/16.85 tff(7780,plain,
% 25.53/16.85 (~v90(constB57, bitIndex1)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7534, 7779])).
% 25.53/16.85 tff(7781,plain,
% 25.53/16.85 (~v130(constB55, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7538, 1683, 7735])).
% 25.53/16.85 tff(7782,plain,
% 25.53/16.85 (~v127(constB55, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7546, 7781])).
% 25.53/16.85 tff(7783,plain,
% 25.53/16.85 (~v129(constB56, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7551, 7782])).
% 25.53/16.85 tff(7784,plain,
% 25.53/16.85 ((~v90(constB56, bitIndex0)) | (~v100(constB56))),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7558, 1186, 7783])).
% 25.53/16.85 tff(7785,plain,
% 25.53/16.85 (~v90(constB56, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7784, 7742])).
% 25.53/16.85 tff(7786,plain,
% 25.53/16.85 (~v90(constB57, bitIndex0)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7568, 7785])).
% 25.53/16.85 tff(7787,plain,
% 25.53/16.85 (v123(constB57)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7572, 1727, 7786, 7780, 7748])).
% 25.53/16.85 tff(7788,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7789,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7790,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 25.53/16.85 tff(7791,plain,
% 25.53/16.85 ($false),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7790, 1738, 7787, 7774])).
% 25.53/16.85 tff(7792,plain,((~v122(constB55)) | v90(constB58, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.53/16.85 tff(7793,plain,
% 25.53/16.85 (v90(constB58, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7792, 7354])).
% 25.53/16.85 tff(7794,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7795,plain,
% 25.53/16.85 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7796,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7795])).
% 25.53/16.85 tff(7797,plain,
% 25.53/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7796, 7794])).
% 25.53/16.85 tff(7798,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7799,plain,
% 25.53/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 25.53/16.85 tff(7800,plain,
% 25.53/16.85 ((~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7799, 1626, 7678])).
% 25.53/16.85 tff(7801,plain,
% 25.53/16.85 ((~v90(constB58, bitIndex2)) | v90(constB59, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7800, 7690])).
% 25.53/16.85 tff(7802,plain,
% 25.53/16.85 (v90(constB59, bitIndex2)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7801, 7793])).
% 25.53/16.85 tff(7803,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7804,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7805,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59)),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7804, 7803])).
% 25.53/16.85 tff(7806,plain,
% 25.53/16.85 ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v124(constB59)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7805, 1975, 7802])).
% 25.53/16.85 tff(7807,plain,
% 25.53/16.85 (v124(constB59)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7806, 7733, 7699])).
% 25.53/16.85 tff(7808,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB59) | (~v124(constB59)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v124(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7809,plain,
% 25.53/16.85 (((~v124(constB59)) | v114(constB59)) <=> (v114(constB59) | (~v124(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7810,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB59) | (~v124(constB59))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7809])).
% 25.53/16.85 tff(7811,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v124(constB59)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7810, 7808])).
% 25.53/16.85 tff(7812,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7813,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB59) | (~v124(constB59))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 25.53/16.85 tff(7814,plain,
% 25.53/16.85 (v114(constB59)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7813, 1986, 7807])).
% 25.53/16.85 tff(7815,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7816,plain,
% 25.53/16.85 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7817,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7816])).
% 25.53/16.85 tff(7818,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7817, 7815])).
% 25.53/16.85 tff(7819,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7820,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 25.53/16.85 tff(7821,plain,
% 25.53/16.85 (v113(constB59)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7820, 518, 7814])).
% 25.53/16.85 tff(7822,assumption,(~v108(constB59)), introduced(assumption)).
% 25.53/16.85 tff(7823,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7824,plain,
% 25.53/16.85 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7825,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7824])).
% 25.53/16.85 tff(7826,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7825, 7823])).
% 25.53/16.85 tff(7827,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7828,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7827, 7826])).
% 25.53/16.85 tff(7829,plain,
% 25.53/16.85 (~v112(constB59)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7828, 544, 7822])).
% 25.53/16.85 tff(7830,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v26(constB59)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v26(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7831,plain,
% 25.53/16.85 (((~v26(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v26(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7832,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v26(constB59))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7831])).
% 25.53/16.85 tff(7833,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v26(constB59)))),
% 25.53/16.85 inference(transitivity,[status(thm)],[7832, 7830])).
% 25.53/16.85 tff(7834,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB59)) | v108(constB59))),
% 25.53/16.85 inference(quant_inst,[status(thm)],[])).
% 25.53/16.85 tff(7835,plain,
% 25.53/16.85 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v26(constB59))),
% 25.53/16.85 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 25.53/16.85 tff(7836,plain,
% 25.53/16.85 (~v26(constB59)),
% 25.53/16.85 inference(unit_resolution,[status(thm)],[7835, 1770, 7822])).
% 25.53/16.85 tff(7837,assumption,(v113(constB59)), introduced(assumption)).
% 25.53/16.85 tff(7838,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7839,plain,
% 25.53/16.85 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 25.53/16.85 inference(rewrite,[status(thm)],[])).
% 25.53/16.85 tff(7840,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 25.53/16.85 inference(monotonicity,[status(thm)],[7839])).
% 25.53/16.85 tff(7841,plain,
% 25.53/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 25.59/16.85 inference(transitivity,[status(thm)],[7840, 7838])).
% 25.59/16.85 tff(7842,plain,
% 25.59/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 25.59/16.85 inference(quant_inst,[status(thm)],[])).
% 25.59/16.85 tff(7843,plain,
% 25.59/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 25.59/16.85 inference(modus_ponens,[status(thm)],[7842, 7841])).
% 25.59/16.85 tff(7844,plain,
% 25.59/16.85 (v26(constB59) | v112(constB59)),
% 25.59/16.85 inference(unit_resolution,[status(thm)],[7843, 532, 7837])).
% 25.59/16.85 tff(7845,plain,
% 25.59/16.85 ($false),
% 25.59/16.85 inference(unit_resolution,[status(thm)],[7844, 7836, 7829])).
% 25.59/16.85 tff(7846,plain,(v108(constB59) | (~v113(constB59))), inference(lemma,lemma(discharge,[]))).
% 25.59/16.85 tff(7847,plain,
% 25.59/16.85 (v108(constB59)),
% 25.59/16.85 inference(unit_resolution,[status(thm)],[7846, 7821])).
% 25.59/16.85 tff(7848,plain,
% 25.59/16.85 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 25.59/16.85 inference(rewrite,[status(thm)],[])).
% 25.59/16.85 tff(7849,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 25.59/16.85 tff(7850,plain,
% 25.59/16.85 (nextState(constB59, constB60)),
% 25.59/16.85 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 25.59/16.85 tff(7851,plain,
% 25.59/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 25.59/16.85 inference(rewrite,[status(thm)],[])).
% 25.59/16.85 tff(7852,plain,
% 25.59/16.85 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 25.59/16.85 inference(rewrite,[status(thm)],[])).
% 25.59/16.85 tff(7853,plain,
% 25.59/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 25.59/16.85 inference(monotonicity,[status(thm)],[7852])).
% 25.59/16.85 tff(7854,plain,
% 25.59/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 25.59/16.85 inference(transitivity,[status(thm)],[7853, 7851])).
% 25.59/16.85 tff(7855,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7856,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 25.59/16.86 tff(7857,plain,
% 25.59/16.86 (v110(constB60) | (~v108(constB59))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7856, 564, 7850])).
% 25.59/16.86 tff(7858,plain,
% 25.59/16.86 (v110(constB60)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7857, 7847])).
% 25.59/16.86 tff(7859,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7860,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7861,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7860, 7859])).
% 25.59/16.86 tff(7862,plain,
% 25.59/16.86 (~v104(constB60)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7861, 582, 7850, 7675])).
% 25.59/16.86 tff(7863,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7864,plain,
% 25.59/16.86 (((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7865,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7864])).
% 25.59/16.86 tff(7866,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7865, 7863])).
% 25.59/16.86 tff(7867,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7868,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | v102(constB60)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 25.59/16.86 tff(7869,plain,
% 25.59/16.86 (v104(constB60) | v102(constB60)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7868, 596, 7850])).
% 25.59/16.86 tff(7870,plain,
% 25.59/16.86 (v102(constB60)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7869, 7862])).
% 25.59/16.86 tff(7871,plain,
% 25.59/16.86 (v1(constB60) <=> v1(constB60)),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7872,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 25.59/16.86 tff(7873,plain,
% 25.59/16.86 (v1(constB60)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7872, 7871])).
% 25.59/16.86 tff(7874,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7875,plain,
% 25.59/16.86 (((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))) <=> ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7876,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7875])).
% 25.59/16.86 tff(7877,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60)))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7876, 7874])).
% 25.59/16.86 tff(7878,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7879,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | (~v1(constB60)) | v101(constB60) | (~v102(constB60))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 25.59/16.86 tff(7880,plain,
% 25.59/16.86 (v101(constB60) | (~v102(constB60))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7879, 617, 7850, 7873])).
% 25.59/16.86 tff(7881,plain,
% 25.59/16.86 (v101(constB60)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7880, 7870])).
% 25.59/16.86 tff(7882,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7883,plain,
% 25.59/16.86 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7884,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7883])).
% 25.59/16.86 tff(7885,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7884, 7882])).
% 25.59/16.86 tff(7886,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7887,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 25.59/16.86 tff(7888,plain,
% 25.59/16.86 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7887, 635, 7850])).
% 25.59/16.86 tff(7889,plain,
% 25.59/16.86 (v100(constB60) | (~v110(constB60))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7888, 7881])).
% 25.59/16.86 tff(7890,plain,
% 25.59/16.86 (v100(constB60)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7889, 7858])).
% 25.59/16.86 tff(7891,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7892,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7893,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 25.59/16.86 tff(7894,plain,
% 25.59/16.86 (~v130(constB59, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7893, 2160, 7807])).
% 25.59/16.86 tff(7895,assumption,(v26(constB59)), introduced(assumption)).
% 25.59/16.86 tff(7896,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7897,plain,
% 25.59/16.86 ($false),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7896, 120, 7895])).
% 25.59/16.86 tff(7898,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 25.59/16.86 tff(7899,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7900,plain,
% 25.59/16.86 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7901,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7900])).
% 25.59/16.86 tff(7902,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7901, 7899])).
% 25.59/16.86 tff(7903,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7904,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 25.59/16.86 tff(7905,plain,
% 25.59/16.86 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7904, 1153, 7898])).
% 25.59/16.86 tff(7906,plain,
% 25.59/16.86 (~v127(constB59, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7905, 7894])).
% 25.59/16.86 tff(7907,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7908,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7909,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 25.59/16.86 tff(7910,plain,
% 25.59/16.86 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7909, 1171, 7850])).
% 25.59/16.86 tff(7911,plain,
% 25.59/16.86 (~v129(constB60, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7910, 7906])).
% 25.59/16.86 tff(7912,plain,
% 25.59/16.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7913,plain,
% 25.59/16.86 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7914,plain,
% 25.59/16.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7913])).
% 25.59/16.86 tff(7915,plain,
% 25.59/16.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7914, 7912])).
% 25.59/16.86 tff(7916,plain,
% 25.59/16.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7917,plain,
% 25.59/16.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 25.59/16.86 tff(7918,plain,
% 25.59/16.86 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7917, 1186, 7911])).
% 25.59/16.86 tff(7919,plain,
% 25.59/16.86 (~v90(constB60, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7918, 7890])).
% 25.59/16.86 tff(7920,plain,
% 25.59/16.86 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7921,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 25.59/16.86 tff(7922,plain,
% 25.59/16.86 (nextState(constB60, constB61)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 25.59/16.86 tff(7923,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7924,plain,
% 25.59/16.86 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7925,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7924])).
% 25.59/16.86 tff(7926,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7925, 7923])).
% 25.59/16.86 tff(7927,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7928,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 25.59/16.86 tff(7929,plain,
% 25.59/16.86 (~v101(constB61)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7928, 342, 7922, 75])).
% 25.59/16.86 tff(7930,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7931,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7932,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 25.59/16.86 tff(7933,plain,
% 25.59/16.86 (v101(constB61) | (~v100(constB61))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7932, 359, 7922])).
% 25.59/16.86 tff(7934,plain,
% 25.59/16.86 (~v100(constB61)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7933, 7929])).
% 25.59/16.86 tff(7935,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7936,plain,
% 25.59/16.86 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7937,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7936])).
% 25.59/16.86 tff(7938,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7937, 7935])).
% 25.59/16.86 tff(7939,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7940,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7939, 7938])).
% 25.59/16.86 tff(7941,plain,
% 25.59/16.86 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7940, 416, 7922])).
% 25.59/16.86 tff(7942,plain,
% 25.59/16.86 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7941, 7934])).
% 25.59/16.86 tff(7943,plain,
% 25.59/16.86 (~v90(constB61, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7942, 7919])).
% 25.59/16.86 tff(7944,plain,
% 25.59/16.86 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)))),
% 25.59/16.86 inference(bind,[status(th)],[])).
% 25.59/16.86 tff(7945,plain,
% 25.59/16.86 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.59/16.86 inference(quant_intro,[status(thm)],[7944])).
% 25.59/16.86 tff(7946,plain,
% 25.59/16.86 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7947,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 25.59/16.86 tff(7948,plain,
% 25.59/16.86 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 25.59/16.86 tff(7949,plain,(
% 25.59/16.86 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.59/16.86 inference(skolemize,[status(sab)],[7948])).
% 25.59/16.86 tff(7950,plain,
% 25.59/16.86 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7949, 7945])).
% 25.59/16.86 tff(7951,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB61, bitIndex0)) | v90(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB61, bitIndex0)) | v90(constB61, bitIndex0))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7952,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB61, bitIndex0)) | v90(constB61, bitIndex0))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7953,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB61, bitIndex0)) | v90(constB61, bitIndex0)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7952, 7951])).
% 25.59/16.86 tff(7954,plain,
% 25.59/16.86 (~v88(constB61, bitIndex0)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7953, 7950, 7943])).
% 25.59/16.86 tff(7955,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7956,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7957,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7956, 7955])).
% 25.59/16.86 tff(7958,plain,
% 25.59/16.86 (v130(constB59, bitIndex2)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7957, 2066, 7807])).
% 25.59/16.86 tff(7959,plain,
% 25.59/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7960,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7961,plain,
% 25.59/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 25.59/16.86 tff(7962,plain,
% 25.59/16.86 ((~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7961, 1560, 7898])).
% 25.59/16.86 tff(7963,plain,
% 25.59/16.86 (v127(constB59, bitIndex2)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7962, 7958])).
% 25.59/16.86 tff(7964,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7965,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7966,plain,
% 25.59/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 25.59/16.86 tff(7967,plain,
% 25.59/16.86 ((~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7966, 1575, 7850])).
% 25.59/16.86 tff(7968,plain,
% 25.59/16.86 (v129(constB60, bitIndex2)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7967, 7963])).
% 25.59/16.86 tff(7969,plain,
% 25.59/16.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7970,plain,
% 25.59/16.86 ((v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7971,plain,
% 25.59/16.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))))),
% 25.59/16.86 inference(monotonicity,[status(thm)],[7970])).
% 25.59/16.86 tff(7972,plain,
% 25.59/16.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 25.59/16.86 inference(transitivity,[status(thm)],[7971, 7969])).
% 25.59/16.86 tff(7973,plain,
% 25.59/16.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))),
% 25.59/16.86 inference(quant_inst,[status(thm)],[])).
% 25.59/16.86 tff(7974,plain,
% 25.59/16.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 25.59/16.86 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 25.59/16.86 tff(7975,plain,
% 25.59/16.86 (v90(constB60, bitIndex2) | (~v100(constB60))),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7974, 1590, 7968])).
% 25.59/16.86 tff(7976,plain,
% 25.59/16.86 (v90(constB60, bitIndex2)),
% 25.59/16.86 inference(unit_resolution,[status(thm)],[7975, 7890])).
% 25.59/16.86 tff(7977,plain,
% 25.59/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 25.59/16.86 inference(rewrite,[status(thm)],[])).
% 25.59/16.86 tff(7978,plain,
% 25.59/16.86 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(7979,plain,
% 25.59/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)))),
% 25.59/16.87 inference(monotonicity,[status(thm)],[7978])).
% 25.59/16.87 tff(7980,plain,
% 25.59/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 25.59/16.87 inference(transitivity,[status(thm)],[7979, 7977])).
% 25.59/16.87 tff(7981,plain,
% 25.59/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(7982,plain,
% 25.59/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 25.59/16.87 tff(7983,plain,
% 25.59/16.87 ((~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[7982, 1626, 7922])).
% 25.59/16.87 tff(7984,plain,
% 25.59/16.87 ((~v90(constB60, bitIndex2)) | v90(constB61, bitIndex2)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[7983, 7934])).
% 25.59/16.87 tff(7985,plain,
% 25.59/16.87 (v90(constB61, bitIndex2)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[7984, 7976])).
% 25.59/16.87 tff(7986,plain,
% 25.59/16.87 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 25.59/16.87 inference(bind,[status(th)],[])).
% 25.59/16.87 tff(7987,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.59/16.87 inference(quant_intro,[status(thm)],[7986])).
% 25.59/16.87 tff(7988,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(7989,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 25.59/16.87 tff(7990,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 25.59/16.87 tff(7991,plain,(
% 25.59/16.87 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.59/16.87 inference(skolemize,[status(sab)],[7990])).
% 25.59/16.87 tff(7992,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[7991, 7987])).
% 25.59/16.87 tff(7993,plain,
% 25.59/16.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(7994,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(7995,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex2)) | v88(constB61, bitIndex2)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 25.59/16.87 tff(7996,plain,
% 25.59/16.87 (v88(constB61, bitIndex2)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[7995, 7992, 7985])).
% 25.59/16.87 tff(7997,plain,
% 25.59/16.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(7998,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(7999,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[7998, 7997])).
% 25.59/16.87 tff(8000,plain,
% 25.59/16.87 (v130(constB59, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[7999, 2122, 7807])).
% 25.59/16.87 tff(8001,plain,
% 25.59/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8002,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(8003,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 25.59/16.87 tff(8004,plain,
% 25.59/16.87 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8003, 1075, 7898])).
% 25.59/16.87 tff(8005,plain,
% 25.59/16.87 (v127(constB59, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8004, 8000])).
% 25.59/16.87 tff(8006,plain,
% 25.59/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8007,plain,
% 25.59/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(8008,plain,
% 25.59/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8007, 8006])).
% 25.59/16.87 tff(8009,plain,
% 25.59/16.87 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8008, 1090, 7850])).
% 25.59/16.87 tff(8010,plain,
% 25.59/16.87 (v129(constB60, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8009, 8005])).
% 25.59/16.87 tff(8011,plain,
% 25.59/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8012,plain,
% 25.59/16.87 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8013,plain,
% 25.59/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 25.59/16.87 inference(monotonicity,[status(thm)],[8012])).
% 25.59/16.87 tff(8014,plain,
% 25.59/16.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 25.59/16.87 inference(transitivity,[status(thm)],[8013, 8011])).
% 25.59/16.87 tff(8015,plain,
% 25.59/16.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(8016,plain,
% 25.59/16.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8015, 8014])).
% 25.59/16.87 tff(8017,plain,
% 25.59/16.87 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8016, 1105, 8010])).
% 25.59/16.87 tff(8018,plain,
% 25.59/16.87 (v90(constB60, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8017, 7890])).
% 25.59/16.87 tff(8019,plain,
% 25.59/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8020,plain,
% 25.59/16.87 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8021,plain,
% 25.59/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 25.59/16.87 inference(monotonicity,[status(thm)],[8020])).
% 25.59/16.87 tff(8022,plain,
% 25.59/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 25.59/16.87 inference(transitivity,[status(thm)],[8021, 8019])).
% 25.59/16.87 tff(8023,plain,
% 25.59/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(8024,plain,
% 25.59/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8023, 8022])).
% 25.59/16.87 tff(8025,plain,
% 25.59/16.87 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8024, 1123, 7922])).
% 25.59/16.87 tff(8026,plain,
% 25.59/16.87 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8025, 7934])).
% 25.59/16.87 tff(8027,plain,
% 25.59/16.87 (v90(constB61, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8026, 8018])).
% 25.59/16.87 tff(8028,plain,
% 25.59/16.87 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 25.59/16.87 inference(bind,[status(th)],[])).
% 25.59/16.87 tff(8029,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.59/16.87 inference(quant_intro,[status(thm)],[8028])).
% 25.59/16.87 tff(8030,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8031,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 25.59/16.87 tff(8032,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 25.59/16.87 tff(8033,plain,(
% 25.59/16.87 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.59/16.87 inference(skolemize,[status(sab)],[8032])).
% 25.59/16.87 tff(8034,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8033, 8029])).
% 25.59/16.87 tff(8035,plain,
% 25.59/16.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8036,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 25.59/16.87 inference(quant_inst,[status(thm)],[])).
% 25.59/16.87 tff(8037,plain,
% 25.59/16.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1)),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 25.59/16.87 tff(8038,plain,
% 25.59/16.87 (v88(constB61, bitIndex1)),
% 25.59/16.87 inference(unit_resolution,[status(thm)],[8037, 8034, 8027])).
% 25.59/16.87 tff(8039,plain,
% 25.59/16.87 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 25.59/16.87 inference(bind,[status(th)],[])).
% 25.59/16.87 tff(8040,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(quant_intro,[status(thm)],[8039])).
% 25.59/16.87 tff(8041,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8042,plain,
% 25.59/16.87 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) <=> (((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))))), rewrite((((~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)))), ((((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 25.59/16.87 inference(bind,[status(th)],[])).
% 25.59/16.87 tff(8043,plain,
% 25.59/16.87 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(quant_intro,[status(thm)],[8042])).
% 25.59/16.87 tff(8044,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex2))) | v144(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 25.59/16.87 tff(8045,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 25.59/16.87 tff(8046,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8045, 8041])).
% 25.59/16.87 tff(8047,plain,(
% 25.59/16.87 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(skolemize,[status(sab)],[8046])).
% 25.59/16.87 tff(8048,plain,
% 25.59/16.87 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 25.59/16.87 inference(modus_ponens,[status(thm)],[8047, 8040])).
% 25.59/16.87 tff(8049,plain,
% 25.59/16.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8050,plain,
% 25.59/16.87 (((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61)) <=> ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 25.59/16.87 inference(rewrite,[status(thm)],[])).
% 25.59/16.87 tff(8051,plain,
% 25.59/16.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)))),
% 25.61/16.87 inference(monotonicity,[status(thm)],[8050])).
% 25.61/16.87 tff(8052,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0))),
% 25.61/16.87 inference(transitivity,[status(thm)],[8051, 8049])).
% 25.61/16.87 tff(8053,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0) | v144(constB61))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8054,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB61, bitIndex2)) | v144(constB61) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex0)),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 25.61/16.87 tff(8055,plain,
% 25.61/16.87 (v144(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8054, 8048, 8038, 7996, 7954])).
% 25.61/16.87 tff(8056,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8057,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8056])).
% 25.61/16.87 tff(8058,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8059,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 25.61/16.87 tff(8060,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8059, 8058])).
% 25.61/16.87 tff(8061,plain,(
% 25.61/16.87 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8060])).
% 25.61/16.87 tff(8062,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8061, 8057])).
% 25.61/16.87 tff(8063,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB61)) | v142(constB61))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB61)) | v142(constB61))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8064,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB61)) | v142(constB61))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8065,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB61)) | v142(constB61)),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 25.61/16.87 tff(8066,plain,
% 25.61/16.87 (v142(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8065, 8062, 8055])).
% 25.61/16.87 tff(8067,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v167(VarCurr)) <=> ((~v142(VarCurr)) | v167(VarCurr)))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8068,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8067])).
% 25.61/16.87 tff(8069,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8070,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 25.61/16.87 tff(8071,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 25.61/16.87 tff(8072,plain,(
% 25.61/16.87 ![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8071])).
% 25.61/16.87 tff(8073,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8072, 8068])).
% 25.61/16.87 tff(8074,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB61)) | v167(constB61))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB61)) | v167(constB61))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8075,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB61)) | v167(constB61))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8076,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB61)) | v167(constB61)),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 25.61/16.87 tff(8077,plain,
% 25.61/16.87 (v167(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8076, 8073, 8066])).
% 25.61/16.87 tff(8078,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl(((~v167(VarCurr)) | (~v170(VarCurr))) <=> ((~v167(VarCurr)) | (~v170(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8079,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8078])).
% 25.61/16.87 tff(8080,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8081,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 25.61/16.87 tff(8082,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 25.61/16.87 tff(8083,plain,(
% 25.61/16.87 ![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8082])).
% 25.61/16.87 tff(8084,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8083, 8079])).
% 25.61/16.87 tff(8085,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB61)) | (~v170(constB61)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB61)) | (~v170(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8086,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB61)) | (~v170(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8087,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB61)) | (~v170(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 25.61/16.87 tff(8088,plain,
% 25.61/16.87 (~v170(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8087, 8084, 8077])).
% 25.61/16.87 tff(8089,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8090,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8089])).
% 25.61/16.87 tff(8091,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8092,plain,
% 25.61/16.87 (^[VarCurr: state_type] : rewrite(((~v167(VarCurr)) | v166(VarCurr)) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8093,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8092])).
% 25.61/16.87 tff(8094,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 25.61/16.87 tff(8095,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 25.61/16.87 tff(8096,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8095, 8091])).
% 25.61/16.87 tff(8097,plain,(
% 25.61/16.87 ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8096])).
% 25.61/16.87 tff(8098,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8097, 8090])).
% 25.61/16.87 tff(8099,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB61) | (~v167(constB61)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB61) | (~v167(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8100,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB61) | (~v167(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8101,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB61) | (~v167(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8100, 8099])).
% 25.61/16.87 tff(8102,plain,
% 25.61/16.87 (v166(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8101, 8098, 8077])).
% 25.61/16.87 tff(8103,plain,
% 25.61/16.87 (^[VarNext: state_type] : refl(((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8104,plain,
% 25.61/16.87 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8103])).
% 25.61/16.87 tff(8105,plain,
% 25.61/16.87 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext))) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8106,plain,
% 25.61/16.87 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v166(VarNext)) | (~v163(VarNext))) <=> ((~v166(VarNext)) | (~v163(VarNext)))), ((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)))), rewrite((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))), ((((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8107,plain,
% 25.61/16.87 (![VarNext: state_type] : (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext)) <=> ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8106])).
% 25.61/16.87 tff(8108,axiom,(![VarNext: state_type] : (((~v166(VarNext)) | (~v163(VarNext))) | v170(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 25.61/16.87 tff(8109,plain,
% 25.61/16.87 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 25.61/16.87 tff(8110,plain,
% 25.61/16.87 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8109, 8105])).
% 25.61/16.87 tff(8111,plain,(
% 25.61/16.87 ![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8110])).
% 25.61/16.87 tff(8112,plain,
% 25.61/16.87 (![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8111, 8104])).
% 25.61/16.87 tff(8113,plain,
% 25.61/16.87 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB61)) | v170(constB61) | (~v166(constB61)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8114,plain,
% 25.61/16.87 (((~v166(constB61)) | v170(constB61) | (~v163(constB61))) <=> ((~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8115,plain,
% 25.61/16.87 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB61)) | v170(constB61) | (~v166(constB61))))),
% 25.61/16.87 inference(monotonicity,[status(thm)],[8114])).
% 25.61/16.87 tff(8116,plain,
% 25.61/16.87 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61)))),
% 25.61/16.87 inference(transitivity,[status(thm)],[8115, 8113])).
% 25.61/16.87 tff(8117,plain,
% 25.61/16.87 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB61)) | v170(constB61) | (~v163(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8118,plain,
% 25.61/16.87 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB61)) | v170(constB61) | (~v166(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 25.61/16.87 tff(8119,plain,
% 25.61/16.87 (~v163(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8118, 8112, 8102, 8088])).
% 25.61/16.87 tff(8120,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl((v163(VarCurr) | (~v201(VarCurr))) <=> (v163(VarCurr) | (~v201(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8121,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8120])).
% 25.61/16.87 tff(8122,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8123,plain,
% 25.61/16.87 (^[VarCurr: state_type] : rewrite(((~v201(VarCurr)) | v163(VarCurr)) <=> (v163(VarCurr) | (~v201(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8124,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v201(VarCurr)) | v163(VarCurr)) <=> ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8123])).
% 25.61/16.87 tff(8125,axiom,(![VarCurr: state_type] : ((~v201(VarCurr)) | v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_3')).
% 25.61/16.87 tff(8126,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 25.61/16.87 tff(8127,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8126, 8122])).
% 25.61/16.87 tff(8128,plain,(
% 25.61/16.87 ![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8127])).
% 25.61/16.87 tff(8129,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8128, 8121])).
% 25.61/16.87 tff(8130,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB61) | (~v201(constB61)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB61) | (~v201(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8131,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB61) | (~v201(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8132,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB61) | (~v201(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8131, 8130])).
% 25.61/16.87 tff(8133,plain,
% 25.61/16.87 (~v201(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8132, 8129, 8119])).
% 25.61/16.87 tff(8134,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl((v201(VarCurr) | (~v200(VarCurr))) <=> (v201(VarCurr) | (~v200(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8135,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8134])).
% 25.61/16.87 tff(8136,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8137,plain,
% 25.61/16.87 (^[VarCurr: state_type] : rewrite(((~v200(VarCurr)) | v201(VarCurr)) <=> (v201(VarCurr) | (~v200(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8138,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v200(VarCurr)) | v201(VarCurr)) <=> ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8137])).
% 25.61/16.87 tff(8139,axiom,(![VarCurr: state_type] : ((~v200(VarCurr)) | v201(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 25.61/16.87 tff(8140,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 25.61/16.87 tff(8141,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8140, 8136])).
% 25.61/16.87 tff(8142,plain,(
% 25.61/16.87 ![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8141])).
% 25.61/16.87 tff(8143,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8142, 8135])).
% 25.61/16.87 tff(8144,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | (~v200(constB61)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | (~v200(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8145,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB61) | (~v200(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8146,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB61) | (~v200(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 25.61/16.87 tff(8147,plain,
% 25.61/16.87 (~v200(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8146, 8143, 8133])).
% 25.61/16.87 tff(8148,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl((v200(VarCurr) | (~v198(VarCurr))) <=> (v200(VarCurr) | (~v198(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8149,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8148])).
% 25.61/16.87 tff(8150,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8151,plain,
% 25.61/16.87 (^[VarCurr: state_type] : rewrite(((~v198(VarCurr)) | v200(VarCurr)) <=> (v200(VarCurr) | (~v198(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8152,plain,
% 25.61/16.87 (![VarCurr: state_type] : ((~v198(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8151])).
% 25.61/16.87 tff(8153,axiom,(![VarCurr: state_type] : ((~v198(VarCurr)) | v200(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 25.61/16.87 tff(8154,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 25.61/16.87 tff(8155,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8154, 8150])).
% 25.61/16.87 tff(8156,plain,(
% 25.61/16.87 ![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8155])).
% 25.61/16.87 tff(8157,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8156, 8149])).
% 25.61/16.87 tff(8158,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB61) | (~v198(constB61)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB61) | (~v198(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8159,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB61) | (~v198(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8160,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB61) | (~v198(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8159, 8158])).
% 25.61/16.87 tff(8161,plain,
% 25.61/16.87 (~v198(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8160, 8157, 8147])).
% 25.61/16.87 tff(8162,plain,
% 25.61/16.87 (^[VarCurr: state_type] : refl((v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8163,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8162])).
% 25.61/16.87 tff(8164,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8165,plain,
% 25.61/16.87 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v191(VarCurr)) | v194(VarCurr)) <=> (v194(VarCurr) | (~v191(VarCurr)))), ((((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr)) <=> ((v194(VarCurr) | (~v191(VarCurr))) | v198(VarCurr)))), rewrite(((v194(VarCurr) | (~v191(VarCurr))) | v198(VarCurr)) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))), ((((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr)) <=> (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8166,plain,
% 25.61/16.87 (![VarCurr: state_type] : (((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr)) <=> ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(quant_intro,[status(thm)],[8165])).
% 25.61/16.87 tff(8167,axiom,(![VarCurr: state_type] : (((~v191(VarCurr)) | v194(VarCurr)) | v198(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_3')).
% 25.61/16.87 tff(8168,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 25.61/16.87 tff(8169,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8168, 8164])).
% 25.61/16.87 tff(8170,plain,(
% 25.61/16.87 ![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(skolemize,[status(sab)],[8169])).
% 25.61/16.87 tff(8171,plain,
% 25.61/16.87 (![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8170, 8163])).
% 25.61/16.87 tff(8172,plain,
% 25.61/16.87 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB61) | v198(constB61) | (~v191(constB61)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB61) | v198(constB61) | (~v191(constB61)))),
% 25.61/16.87 inference(rewrite,[status(thm)],[])).
% 25.61/16.87 tff(8173,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB61) | v198(constB61) | (~v191(constB61)))),
% 25.61/16.87 inference(quant_inst,[status(thm)],[])).
% 25.61/16.87 tff(8174,plain,
% 25.61/16.87 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB61) | v198(constB61) | (~v191(constB61))),
% 25.61/16.87 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 25.61/16.87 tff(8175,plain,
% 25.61/16.87 (v194(constB61) | (~v191(constB61))),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8174, 8171, 8161])).
% 25.61/16.87 tff(8176,plain,
% 25.61/16.87 (~v191(constB61)),
% 25.61/16.87 inference(unit_resolution,[status(thm)],[8175, 112])).
% 25.61/16.87 tff(8177,plain,
% 25.61/16.87 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))))),
% 25.61/16.87 inference(bind,[status(th)],[])).
% 25.61/16.87 tff(8178,plain,
% 25.61/16.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8177])).
% 25.61/16.88 tff(8179,plain,
% 25.61/16.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8180,plain,
% 25.61/16.88 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v193(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8181,plain,
% 25.61/16.88 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8180])).
% 25.61/16.88 tff(8182,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v193(VarNext))) | v191(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12_1_2')).
% 25.61/16.88 tff(8183,plain,
% 25.61/16.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 25.61/16.88 tff(8184,plain,
% 25.61/16.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8183, 8179])).
% 25.61/16.88 tff(8185,plain,(
% 25.61/16.88 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(skolemize,[status(sab)],[8184])).
% 25.61/16.88 tff(8186,plain,
% 25.61/16.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8185, 8178])).
% 25.61/16.88 tff(8187,plain,
% 25.61/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8188,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8189,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB61, constB62)) | v191(constB61) | (~v193(constB62))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 25.61/16.88 tff(8190,plain,
% 25.61/16.88 (v191(constB61) | (~v193(constB62))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8189, 8186, 57])).
% 25.61/16.88 tff(8191,plain,
% 25.61/16.88 (~v193(constB62)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8190, 8176])).
% 25.61/16.88 tff(8192,plain,
% 25.61/16.88 (^[VarCurr: state_type] : refl((v193(VarCurr) | (~v194(VarCurr))) <=> (v193(VarCurr) | (~v194(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8193,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8192])).
% 25.61/16.88 tff(8194,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8195,plain,
% 25.61/16.88 (^[VarCurr: state_type] : rewrite(((~v194(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v194(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8196,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v194(VarCurr)) | v193(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8195])).
% 25.61/16.88 tff(8197,axiom,(![VarCurr: state_type] : ((~v194(VarCurr)) | v193(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 25.61/16.88 tff(8198,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 25.61/16.88 tff(8199,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8198, 8194])).
% 25.61/16.88 tff(8200,plain,(
% 25.61/16.88 ![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(skolemize,[status(sab)],[8199])).
% 25.61/16.88 tff(8201,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8200, 8193])).
% 25.61/16.88 tff(8202,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB62) | (~v194(constB62)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB62) | (~v194(constB62)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8203,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB62) | (~v194(constB62)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8204,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB62) | (~v194(constB62))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 25.61/16.88 tff(8205,plain,
% 25.61/16.88 (~v194(constB62)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8204, 8201, 8191])).
% 25.61/16.88 tff(8206,plain,
% 25.61/16.88 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v197(VarCurr))) <=> ((~v1(VarCurr)) | (~v197(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8207,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8206])).
% 25.61/16.88 tff(8208,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8209,plain,
% 25.61/16.88 (^[VarCurr: state_type] : rewrite(((~v197(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v197(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8210,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v197(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8209])).
% 25.61/16.88 tff(8211,axiom,(![VarCurr: state_type] : ((~v197(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 25.61/16.88 tff(8212,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8211, 8210])).
% 25.61/16.88 tff(8213,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8212, 8208])).
% 25.61/16.88 tff(8214,plain,(
% 25.61/16.88 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(skolemize,[status(sab)],[8213])).
% 25.61/16.88 tff(8215,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8214, 8207])).
% 25.61/16.88 tff(8216,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB62)) | (~v197(constB62)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB62)) | (~v197(constB62)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8217,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB62)) | (~v197(constB62)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8218,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB62)) | (~v197(constB62))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8217, 8216])).
% 25.61/16.88 tff(8219,plain,
% 25.61/16.88 (~v197(constB62)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8218, 8215, 14])).
% 25.61/16.88 tff(8220,plain,
% 25.61/16.88 (^[VarCurr: state_type] : refl((v197(VarCurr) | (~v200(VarCurr))) <=> (v197(VarCurr) | (~v200(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8221,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8220])).
% 25.61/16.88 tff(8222,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8223,plain,
% 25.61/16.88 (^[VarCurr: state_type] : rewrite(((~v200(VarCurr)) | v197(VarCurr)) <=> (v197(VarCurr) | (~v200(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8224,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v200(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8223])).
% 25.61/16.88 tff(8225,axiom,(![VarCurr: state_type] : ((~v200(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 25.61/16.88 tff(8226,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 25.61/16.88 tff(8227,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8226, 8222])).
% 25.61/16.88 tff(8228,plain,(
% 25.61/16.88 ![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(skolemize,[status(sab)],[8227])).
% 25.61/16.88 tff(8229,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8228, 8221])).
% 25.61/16.88 tff(8230,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB62) | (~v200(constB62)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB62) | (~v200(constB62)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8231,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB62) | (~v200(constB62)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8232,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB62) | (~v200(constB62))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8231, 8230])).
% 25.61/16.88 tff(8233,plain,
% 25.61/16.88 (~v200(constB62)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8232, 8229, 8219])).
% 25.61/16.88 tff(8234,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB62) | (~v198(constB62)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB62) | (~v198(constB62)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8235,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB62) | (~v198(constB62)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8236,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB62) | (~v198(constB62))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 25.61/16.88 tff(8237,plain,
% 25.61/16.88 (~v198(constB62)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8236, 8157, 8233])).
% 25.61/16.88 tff(8238,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB62) | v198(constB62) | (~v191(constB62)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB62) | v198(constB62) | (~v191(constB62)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8239,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB62) | v198(constB62) | (~v191(constB62)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8240,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB62) | v198(constB62) | (~v191(constB62))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 25.61/16.88 tff(8241,plain,
% 25.61/16.88 (v194(constB62) | (~v191(constB62))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8240, 8171, 8237])).
% 25.61/16.88 tff(8242,plain,
% 25.61/16.88 (~v191(constB62)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8241, 8205])).
% 25.61/16.88 tff(8243,plain,
% 25.61/16.88 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8244,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 25.61/16.88 tff(8245,plain,
% 25.61/16.88 (nextState(constB62, constB63)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8244, 8243])).
% 25.61/16.88 tff(8246,plain,
% 25.61/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8247,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8248,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB62, constB63)) | v191(constB62) | (~v193(constB63))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 25.61/16.88 tff(8249,plain,
% 25.61/16.88 (v191(constB62) | (~v193(constB63))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8248, 8186, 8245])).
% 25.61/16.88 tff(8250,plain,
% 25.61/16.88 (~v193(constB63)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8249, 8242])).
% 25.61/16.88 tff(8251,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 25.61/16.88 tff(8252,plain,
% 25.61/16.88 (v193(constB63) <=> v193(sK0_VarCurr)),
% 25.61/16.88 inference(monotonicity,[status(thm)],[8251])).
% 25.61/16.88 tff(8253,plain,
% 25.61/16.88 (v193(sK0_VarCurr) <=> v193(constB63)),
% 25.61/16.88 inference(symmetry,[status(thm)],[8252])).
% 25.61/16.88 tff(8254,plain,
% 25.61/16.88 (v205(sK0_VarCurr) <=> v205(sK0_VarCurr)),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8255,axiom,(v205(sK0_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 25.61/16.88 tff(8256,plain,
% 25.61/16.88 (v205(sK0_VarCurr)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 25.61/16.88 tff(8257,plain,
% 25.61/16.88 (^[VarCurr: state_type] : refl((v193(VarCurr) | (~v205(VarCurr))) <=> (v193(VarCurr) | (~v205(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8258,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8257])).
% 25.61/16.88 tff(8259,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8260,plain,
% 25.61/16.88 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v205(VarCurr))))),
% 25.61/16.88 inference(bind,[status(th)],[])).
% 25.61/16.88 tff(8261,plain,
% 25.61/16.88 (![VarCurr: state_type] : ((~v205(VarCurr)) | v193(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(quant_intro,[status(thm)],[8260])).
% 25.61/16.88 tff(8262,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v193(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_2')).
% 25.61/16.88 tff(8263,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8262, 8261])).
% 25.61/16.88 tff(8264,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8263, 8259])).
% 25.61/16.88 tff(8265,plain,(
% 25.61/16.88 ![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(skolemize,[status(sab)],[8264])).
% 25.61/16.88 tff(8266,plain,
% 25.61/16.88 (![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8265, 8258])).
% 25.61/16.88 tff(8267,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8268,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | (v193(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8269,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v205(VarCurr)))) | v193(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8268, 8267])).
% 25.61/16.88 tff(8270,plain,
% 25.61/16.88 (v193(sK0_VarCurr)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8269, 8266, 8256])).
% 25.61/16.88 tff(8271,plain,
% 25.61/16.88 (v193(constB63)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8270, 8253])).
% 25.61/16.88 tff(8272,assumption,(~v193(constB63)), introduced(assumption)).
% 25.61/16.88 tff(8273,plain,
% 25.61/16.88 ($false),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8272, 8271])).
% 25.61/16.88 tff(8274,plain,((~(constB63 = sK0_VarCurr)) | v193(constB63)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.88 tff(8275,plain,
% 25.61/16.88 (~(constB63 = sK0_VarCurr)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8274, 8250])).
% 25.61/16.88 tff(8276,assumption,(v18(constB26)), introduced(assumption)).
% 25.61/16.88 tff(8277,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB26))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8278,plain,
% 25.61/16.88 ($false),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8277, 8, 8276])).
% 25.61/16.88 tff(8279,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.88 tff(8280,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8281,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8282,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8281, 8280])).
% 25.61/16.88 tff(8283,plain,
% 25.61/16.88 (v22(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8282, 24, 3705])).
% 25.61/16.88 tff(8284,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8285,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8286,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 25.61/16.88 tff(8287,plain,
% 25.61/16.88 (v18(constB26) | (~v19(constB26))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8286, 38, 8283])).
% 25.61/16.88 tff(8288,plain,
% 25.61/16.88 (~v19(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8287, 8279])).
% 25.61/16.88 tff(8289,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8290,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8291,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 25.61/16.88 tff(8292,plain,
% 25.61/16.88 (v13(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8291, 50, 8288])).
% 25.61/16.88 tff(8293,plain,
% 25.61/16.88 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8294,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8295,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 25.61/16.88 tff(8296,plain,
% 25.61/16.88 (v9(constB25) | (~v13(constB26))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8295, 67, 3682])).
% 25.61/16.88 tff(8297,plain,
% 25.61/16.88 (v9(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8296, 8292])).
% 25.61/16.88 tff(8298,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v197(constB25))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB25) | (~v9(constB25)) | v197(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8299,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v197(constB25))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8300,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB25) | (~v9(constB25)) | v197(constB25)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 25.61/16.88 tff(8301,plain,
% 25.61/16.88 ((~v9(constB25)) | v197(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8300, 85, 3560])).
% 25.61/16.88 tff(8302,plain,
% 25.61/16.88 (v197(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8301, 8297])).
% 25.61/16.88 tff(8303,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB25)) | v196(constB25))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB25)) | v196(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8304,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB25)) | v196(constB25))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8305,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB25)) | v196(constB25)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 25.61/16.88 tff(8306,plain,
% 25.61/16.88 (v196(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8305, 97, 8302])).
% 25.61/16.88 tff(8307,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB25)) | (~v196(constB25)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB25)) | (~v196(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8308,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB25)) | (~v196(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8309,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB25)) | (~v196(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 25.61/16.88 tff(8310,plain,
% 25.61/16.88 (~v194(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8309, 108, 8306])).
% 25.61/16.88 tff(8311,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8312,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8313,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8312, 8311])).
% 25.61/16.88 tff(8314,plain,
% 25.61/16.88 (~v88(constB25, bitIndex0)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8313, 7950, 3649])).
% 25.61/16.88 tff(8315,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8316,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8317,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 25.61/16.88 tff(8318,plain,
% 25.61/16.88 (v88(constB25, bitIndex2)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8317, 7992, 3584])).
% 25.61/16.88 tff(8319,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8320,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8321,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 25.61/16.88 tff(8322,plain,
% 25.61/16.88 (v88(constB25, bitIndex1)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8321, 8034, 3615])).
% 25.61/16.88 tff(8323,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8324,plain,
% 25.61/16.88 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8325,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)))),
% 25.61/16.88 inference(monotonicity,[status(thm)],[8324])).
% 25.61/16.88 tff(8326,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25))),
% 25.61/16.88 inference(transitivity,[status(thm)],[8325, 8323])).
% 25.61/16.88 tff(8327,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8328,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0) | v144(constB25)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8327, 8326])).
% 25.61/16.88 tff(8329,plain,
% 25.61/16.88 (v144(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8328, 8048, 8322, 8318, 8314])).
% 25.61/16.88 tff(8330,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8331,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8332,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 25.61/16.88 tff(8333,plain,
% 25.61/16.88 (v142(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8332, 8062, 8329])).
% 25.61/16.88 tff(8334,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB25)) | v167(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB25)) | v167(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8335,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB25)) | v167(constB25))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8336,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB25)) | v167(constB25)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 25.61/16.88 tff(8337,plain,
% 25.61/16.88 (v167(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8336, 8073, 8333])).
% 25.61/16.88 tff(8338,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8339,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB25)) | (~v170(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8340,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB25)) | (~v170(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8339, 8338])).
% 25.61/16.88 tff(8341,plain,
% 25.61/16.88 (~v170(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8340, 8084, 8337])).
% 25.61/16.88 tff(8342,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8343,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB25) | (~v167(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8344,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB25) | (~v167(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8343, 8342])).
% 25.61/16.88 tff(8345,plain,
% 25.61/16.88 (v166(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8344, 8098, 8337])).
% 25.61/16.88 tff(8346,plain,
% 25.61/16.88 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8347,plain,
% 25.61/16.88 (((~v166(constB25)) | v170(constB25) | (~v163(constB25))) <=> ((~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8348,plain,
% 25.61/16.88 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB25)) | (~v166(constB25)) | v170(constB25)))),
% 25.61/16.88 inference(monotonicity,[status(thm)],[8347])).
% 25.61/16.88 tff(8349,plain,
% 25.61/16.88 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25))),
% 25.61/16.88 inference(transitivity,[status(thm)],[8348, 8346])).
% 25.61/16.88 tff(8350,plain,
% 25.61/16.88 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB25)) | v170(constB25) | (~v163(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8351,plain,
% 25.61/16.88 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB25)) | (~v166(constB25)) | v170(constB25)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 25.61/16.88 tff(8352,plain,
% 25.61/16.88 (~v163(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8351, 8112, 8345, 8341])).
% 25.61/16.88 tff(8353,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB25) | (~v201(constB25)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB25) | (~v201(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8354,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB25) | (~v201(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8355,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB25) | (~v201(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8354, 8353])).
% 25.61/16.88 tff(8356,plain,
% 25.61/16.88 (~v201(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8355, 8129, 8352])).
% 25.61/16.88 tff(8357,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | (~v200(constB25)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | (~v200(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8358,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB25) | (~v200(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8359,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB25) | (~v200(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 25.61/16.88 tff(8360,plain,
% 25.61/16.88 (~v200(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8359, 8143, 8356])).
% 25.61/16.88 tff(8361,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB25) | (~v198(constB25)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB25) | (~v198(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8362,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB25) | (~v198(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8363,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB25) | (~v198(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 25.61/16.88 tff(8364,plain,
% 25.61/16.88 (~v198(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8363, 8157, 8360])).
% 25.61/16.88 tff(8365,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB25) | v198(constB25) | (~v191(constB25)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB25) | v198(constB25) | (~v191(constB25)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8366,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB25) | v198(constB25) | (~v191(constB25)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8367,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB25) | v198(constB25) | (~v191(constB25))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 25.61/16.88 tff(8368,plain,
% 25.61/16.88 (v194(constB25) | (~v191(constB25))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8367, 8171, 8364])).
% 25.61/16.88 tff(8369,plain,
% 25.61/16.88 (~v191(constB25)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8368, 8310])).
% 25.61/16.88 tff(8370,plain,
% 25.61/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8371,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8372,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB25, constB26)) | v191(constB25) | (~v193(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8371, 8370])).
% 25.61/16.88 tff(8373,plain,
% 25.61/16.88 (v191(constB25) | (~v193(constB26))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8372, 8186, 3682])).
% 25.61/16.88 tff(8374,plain,
% 25.61/16.88 (~v193(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8373, 8369])).
% 25.61/16.88 tff(8375,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB26) | (~v194(constB26)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB26) | (~v194(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8376,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB26) | (~v194(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8377,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB26) | (~v194(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 25.61/16.88 tff(8378,plain,
% 25.61/16.88 (~v194(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8377, 8201, 8374])).
% 25.61/16.88 tff(8379,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB26)) | (~v197(constB26)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB26)) | (~v197(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8380,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB26)) | (~v197(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8381,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB26)) | (~v197(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 25.61/16.88 tff(8382,plain,
% 25.61/16.88 (~v197(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8381, 8215, 3705])).
% 25.61/16.88 tff(8383,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB26) | (~v200(constB26)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB26) | (~v200(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8384,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB26) | (~v200(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8385,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB26) | (~v200(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 25.61/16.88 tff(8386,plain,
% 25.61/16.88 (~v200(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8385, 8229, 8382])).
% 25.61/16.88 tff(8387,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB26) | (~v198(constB26)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB26) | (~v198(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8388,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB26) | (~v198(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8389,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB26) | (~v198(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 25.61/16.88 tff(8390,plain,
% 25.61/16.88 (~v198(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8389, 8157, 8386])).
% 25.61/16.88 tff(8391,plain,
% 25.61/16.88 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB26) | v198(constB26) | (~v191(constB26)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB26) | v198(constB26) | (~v191(constB26)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8392,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB26) | v198(constB26) | (~v191(constB26)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8393,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB26) | v198(constB26) | (~v191(constB26))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 25.61/16.88 tff(8394,plain,
% 25.61/16.88 (v194(constB26) | (~v191(constB26))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8393, 8171, 8390])).
% 25.61/16.88 tff(8395,plain,
% 25.61/16.88 (~v191(constB26)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8394, 8378])).
% 25.61/16.88 tff(8396,plain,
% 25.61/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))),
% 25.61/16.88 inference(rewrite,[status(thm)],[])).
% 25.61/16.88 tff(8397,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27)))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8398,plain,
% 25.61/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB26, constB27)) | v191(constB26) | (~v193(constB27))),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8397, 8396])).
% 25.61/16.88 tff(8399,plain,
% 25.61/16.88 (v191(constB26) | (~v193(constB27))),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8398, 8186, 3774])).
% 25.61/16.88 tff(8400,plain,
% 25.61/16.88 (~v193(constB27)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8399, 8395])).
% 25.61/16.88 tff(8401,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 25.61/16.88 tff(8402,plain,
% 25.61/16.88 (v193(constB27) <=> v193(sK0_VarCurr)),
% 25.61/16.88 inference(monotonicity,[status(thm)],[8401])).
% 25.61/16.88 tff(8403,plain,
% 25.61/16.88 (v193(sK0_VarCurr) <=> v193(constB27)),
% 25.61/16.88 inference(symmetry,[status(thm)],[8402])).
% 25.61/16.88 tff(8404,plain,
% 25.61/16.88 (v193(constB27)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8270, 8403])).
% 25.61/16.88 tff(8405,assumption,(~v193(constB27)), introduced(assumption)).
% 25.61/16.88 tff(8406,plain,
% 25.61/16.88 ($false),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8405, 8404])).
% 25.61/16.88 tff(8407,plain,((~(constB27 = sK0_VarCurr)) | v193(constB27)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.88 tff(8408,plain,
% 25.61/16.88 (~(constB27 = sK0_VarCurr)),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8407, 8400])).
% 25.61/16.88 tff(8409,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 25.61/16.88 tff(8410,plain,
% 25.61/16.88 (v193(constB159) <=> v193(sK0_VarCurr)),
% 25.61/16.88 inference(monotonicity,[status(thm)],[8409])).
% 25.61/16.88 tff(8411,plain,
% 25.61/16.88 (v193(sK0_VarCurr) <=> v193(constB159)),
% 25.61/16.88 inference(symmetry,[status(thm)],[8410])).
% 25.61/16.88 tff(8412,plain,
% 25.61/16.88 (v193(constB159)),
% 25.61/16.88 inference(modus_ponens,[status(thm)],[8270, 8411])).
% 25.61/16.88 tff(8413,assumption,(v18(constB158)), introduced(assumption)).
% 25.61/16.88 tff(8414,plain,
% 25.61/16.88 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB158))),
% 25.61/16.88 inference(quant_inst,[status(thm)],[])).
% 25.61/16.88 tff(8415,plain,
% 25.61/16.88 ($false),
% 25.61/16.88 inference(unit_resolution,[status(thm)],[8414, 8, 8413])).
% 25.61/16.88 tff(8416,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8417,plain,
% 25.61/16.89 (v1(constB158) <=> v1(constB158)),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8418,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 25.61/16.89 tff(8419,plain,
% 25.61/16.89 (v1(constB158)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 25.61/16.89 tff(8420,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8421,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8422,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8421, 8420])).
% 25.61/16.89 tff(8423,plain,
% 25.61/16.89 (v22(constB158)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8422, 24, 8419])).
% 25.61/16.89 tff(8424,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8425,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8426,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 25.61/16.89 tff(8427,plain,
% 25.61/16.89 (v18(constB158) | (~v19(constB158))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8426, 38, 8423])).
% 25.61/16.89 tff(8428,plain,
% 25.61/16.89 (~v19(constB158)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8427, 8416])).
% 25.61/16.89 tff(8429,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8430,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8431,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8430, 8429])).
% 25.61/16.89 tff(8432,plain,
% 25.61/16.89 (v13(constB158)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8431, 50, 8428])).
% 25.61/16.89 tff(8433,plain,
% 25.61/16.89 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8434,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 25.61/16.89 tff(8435,plain,
% 25.61/16.89 (nextState(constB157, constB158)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 25.61/16.89 tff(8436,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8437,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8438,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8437, 8436])).
% 25.61/16.89 tff(8439,plain,
% 25.61/16.89 (v9(constB157) | (~v13(constB158))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8438, 67, 8435])).
% 25.61/16.89 tff(8440,plain,
% 25.61/16.89 (v9(constB157)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8439, 8432])).
% 25.61/16.89 tff(8441,plain,
% 25.61/16.89 ((~v1(constB157)) <=> (~v1(constB157))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8442,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 25.61/16.89 tff(8443,plain,
% 25.61/16.89 (~v1(constB157)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 25.61/16.89 tff(8444,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v197(constB157))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB157) | (~v9(constB157)) | v197(constB157))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8445,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v197(constB157))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8446,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB157) | (~v9(constB157)) | v197(constB157)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8445, 8444])).
% 25.61/16.89 tff(8447,plain,
% 25.61/16.89 ((~v9(constB157)) | v197(constB157)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8446, 85, 8443])).
% 25.61/16.89 tff(8448,plain,
% 25.61/16.89 (v197(constB157)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8447, 8440])).
% 25.61/16.89 tff(8449,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB157)) | v196(constB157))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB157)) | v196(constB157))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8450,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB157)) | v196(constB157))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8451,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB157)) | v196(constB157)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 25.61/16.89 tff(8452,plain,
% 25.61/16.89 (v196(constB157)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8451, 97, 8448])).
% 25.61/16.89 tff(8453,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB157)) | (~v196(constB157)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB157)) | (~v196(constB157)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8454,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB157)) | (~v196(constB157)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8455,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB157)) | (~v196(constB157))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 25.61/16.89 tff(8456,plain,
% 25.61/16.89 (~v194(constB157)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8455, 108, 8452])).
% 25.61/16.89 tff(8457,assumption,(v26(constB143)), introduced(assumption)).
% 25.61/16.89 tff(8458,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8459,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8458, 120, 8457])).
% 25.61/16.89 tff(8460,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8461,assumption,(v26(constB141)), introduced(assumption)).
% 25.61/16.89 tff(8462,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8463,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8462, 120, 8461])).
% 25.61/16.89 tff(8464,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8465,assumption,(v26(constB139)), introduced(assumption)).
% 25.61/16.89 tff(8466,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8467,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8466, 120, 8465])).
% 25.61/16.89 tff(8468,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8469,assumption,(v26(constB137)), introduced(assumption)).
% 25.61/16.89 tff(8470,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8471,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8470, 120, 8469])).
% 25.61/16.89 tff(8472,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8473,assumption,(v26(constB135)), introduced(assumption)).
% 25.61/16.89 tff(8474,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8475,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8474, 120, 8473])).
% 25.61/16.89 tff(8476,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8477,assumption,(v26(constB113)), introduced(assumption)).
% 25.61/16.89 tff(8478,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8479,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8478, 120, 8477])).
% 25.61/16.89 tff(8480,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8481,assumption,(v26(constB111)), introduced(assumption)).
% 25.61/16.89 tff(8482,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8483,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8482, 120, 8481])).
% 25.61/16.89 tff(8484,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8485,assumption,(v26(constB109)), introduced(assumption)).
% 25.61/16.89 tff(8486,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8487,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8486, 120, 8485])).
% 25.61/16.89 tff(8488,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8489,assumption,(v26(constB107)), introduced(assumption)).
% 25.61/16.89 tff(8490,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8491,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8490, 120, 8489])).
% 25.61/16.89 tff(8492,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8493,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8494,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8495,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 25.61/16.89 tff(8496,plain,
% 25.61/16.89 (v125(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8495, 2204, 7943, 8027, 7985])).
% 25.61/16.89 tff(8497,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB61)) | v113(constB61))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8498,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8499,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB61)) | v113(constB61)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 25.61/16.89 tff(8500,plain,
% 25.61/16.89 (v113(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8499, 2215, 8496])).
% 25.61/16.89 tff(8501,assumption,(v26(constB61)), introduced(assumption)).
% 25.61/16.89 tff(8502,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8503,plain,
% 25.61/16.89 ($false),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8502, 120, 8501])).
% 25.61/16.89 tff(8504,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.89 tff(8505,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8506,plain,
% 25.61/16.89 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8507,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8506])).
% 25.61/16.89 tff(8508,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8507, 8505])).
% 25.61/16.89 tff(8509,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8510,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 25.61/16.89 tff(8511,plain,
% 25.61/16.89 (v112(constB61) | (~v113(constB61))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8510, 532, 8504])).
% 25.61/16.89 tff(8512,plain,
% 25.61/16.89 (v112(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8511, 8500])).
% 25.61/16.89 tff(8513,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8514,plain,
% 25.61/16.89 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8515,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8514])).
% 25.61/16.89 tff(8516,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8515, 8513])).
% 25.61/16.89 tff(8517,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8518,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 25.61/16.89 tff(8519,plain,
% 25.61/16.89 (v108(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8518, 544, 8512])).
% 25.61/16.89 tff(8520,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8521,plain,
% 25.61/16.89 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8522,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8521])).
% 25.61/16.89 tff(8523,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8522, 8520])).
% 25.61/16.89 tff(8524,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8525,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 25.61/16.89 tff(8526,plain,
% 25.61/16.89 (v110(constB62) | (~v108(constB61))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8525, 564, 57])).
% 25.61/16.89 tff(8527,plain,
% 25.61/16.89 (v110(constB62)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8526, 8519])).
% 25.61/16.89 tff(8528,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8529,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8530,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 25.61/16.89 tff(8531,plain,
% 25.61/16.89 (~v104(constB62)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8530, 582, 57, 75])).
% 25.61/16.89 tff(8532,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8533,plain,
% 25.61/16.89 (((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8534,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8533])).
% 25.61/16.89 tff(8535,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8534, 8532])).
% 25.61/16.89 tff(8536,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8537,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | v102(constB62)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 25.61/16.89 tff(8538,plain,
% 25.61/16.89 (v104(constB62) | v102(constB62)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8537, 596, 57])).
% 25.61/16.89 tff(8539,plain,
% 25.61/16.89 (v102(constB62)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8538, 8531])).
% 25.61/16.89 tff(8540,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8541,plain,
% 25.61/16.89 (((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))) <=> ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8542,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8541])).
% 25.61/16.89 tff(8543,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62)))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8542, 8540])).
% 25.61/16.89 tff(8544,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8545,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | (~v1(constB62)) | v101(constB62) | (~v102(constB62))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 25.61/16.89 tff(8546,plain,
% 25.61/16.89 (v101(constB62) | (~v102(constB62))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8545, 617, 57, 14])).
% 25.61/16.89 tff(8547,plain,
% 25.61/16.89 (v101(constB62)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8546, 8539])).
% 25.61/16.89 tff(8548,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8549,plain,
% 25.61/16.89 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8550,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8549])).
% 25.61/16.89 tff(8551,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8550, 8548])).
% 25.61/16.89 tff(8552,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8553,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 25.61/16.89 tff(8554,plain,
% 25.61/16.89 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8553, 635, 57])).
% 25.61/16.89 tff(8555,plain,
% 25.61/16.89 (v100(constB62) | (~v110(constB62))),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8554, 8547])).
% 25.61/16.89 tff(8556,plain,
% 25.61/16.89 (v100(constB62)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8555, 8527])).
% 25.61/16.89 tff(8557,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8558,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8559,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 25.61/16.89 tff(8560,plain,
% 25.61/16.89 (~v119(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8559, 2309, 8027])).
% 25.61/16.89 tff(8561,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8562,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8563,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB61)) | (~v90(constB61, bitIndex1))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 25.61/16.89 tff(8564,plain,
% 25.61/16.89 (~v124(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8563, 2342, 8027])).
% 25.61/16.89 tff(8565,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8566,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8567,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB61)) | (~v90(constB61, bitIndex1))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 25.61/16.89 tff(8568,plain,
% 25.61/16.89 (~v123(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8567, 2331, 8027])).
% 25.61/16.89 tff(8569,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB61)) | (~v90(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB61)) | (~v90(constB61, bitIndex2)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8570,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB61)) | (~v90(constB61, bitIndex2)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8571,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB61)) | (~v90(constB61, bitIndex2))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 25.61/16.89 tff(8572,plain,
% 25.61/16.89 (~v122(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8571, 2298, 7985])).
% 25.61/16.89 tff(8573,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8574,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB61)) | (~v90(constB61, bitIndex1)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8575,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB61)) | (~v90(constB61, bitIndex1))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 25.61/16.89 tff(8576,plain,
% 25.61/16.89 (~v120(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8575, 2320, 8027])).
% 25.61/16.89 tff(8577,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v90(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v90(constB61, bitIndex2)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8578,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v90(constB61, bitIndex2)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8579,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v90(constB61, bitIndex2))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 25.61/16.89 tff(8580,plain,
% 25.61/16.89 (~v121(constB61)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8579, 2287, 7985])).
% 25.61/16.89 tff(8581,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8582,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8583,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 25.61/16.89 tff(8584,plain,
% 25.61/16.89 (~v130(constB61, bitIndex2)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8583, 2356, 8580, 8576, 8572, 8568, 8564, 8560])).
% 25.61/16.89 tff(8585,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8586,plain,
% 25.61/16.89 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8587,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)))),
% 25.61/16.89 inference(monotonicity,[status(thm)],[8586])).
% 25.61/16.89 tff(8588,plain,
% 25.61/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 25.61/16.89 inference(transitivity,[status(thm)],[8587, 8585])).
% 25.61/16.89 tff(8589,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8590,plain,
% 25.61/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 25.61/16.89 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 25.61/16.89 tff(8591,plain,
% 25.61/16.89 ((~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8590, 665, 8504])).
% 25.61/16.89 tff(8592,plain,
% 25.61/16.89 (~v127(constB61, bitIndex2)),
% 25.61/16.89 inference(unit_resolution,[status(thm)],[8591, 8584])).
% 25.61/16.89 tff(8593,plain,
% 25.61/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 25.61/16.89 inference(rewrite,[status(thm)],[])).
% 25.61/16.89 tff(8594,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 25.61/16.89 inference(quant_inst,[status(thm)],[])).
% 25.61/16.89 tff(8595,plain,
% 25.61/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 25.61/16.90 tff(8596,plain,
% 25.61/16.90 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8595, 683, 57])).
% 25.61/16.90 tff(8597,plain,
% 25.61/16.90 (~v129(constB62, bitIndex2)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8596, 8592])).
% 25.61/16.90 tff(8598,plain,
% 25.61/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8599,plain,
% 25.61/16.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8600,plain,
% 25.61/16.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8599, 8598])).
% 25.61/16.90 tff(8601,plain,
% 25.61/16.90 ((~v90(constB62, bitIndex2)) | (~v100(constB62))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8600, 698, 8597])).
% 25.61/16.90 tff(8602,plain,
% 25.61/16.90 (~v90(constB62, bitIndex2)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8601, 8556])).
% 25.61/16.90 tff(8603,plain,
% 25.61/16.90 ((~v1(constB63)) <=> (~v1(constB63))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8604,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 25.61/16.90 tff(8605,plain,
% 25.61/16.90 (~v1(constB63)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 25.61/16.90 tff(8606,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8607,plain,
% 25.61/16.90 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8608,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8607])).
% 25.61/16.90 tff(8609,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8608, 8606])).
% 25.61/16.90 tff(8610,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8611,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 25.61/16.90 tff(8612,plain,
% 25.61/16.90 (~v101(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8611, 342, 8245, 8605])).
% 25.61/16.90 tff(8613,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8614,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8615,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 25.61/16.90 tff(8616,plain,
% 25.61/16.90 (v101(constB63) | (~v100(constB63))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8615, 359, 8245])).
% 25.61/16.90 tff(8617,plain,
% 25.61/16.90 (~v100(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8616, 8612])).
% 25.61/16.90 tff(8618,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8619,plain,
% 25.61/16.90 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8620,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8619])).
% 25.61/16.90 tff(8621,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8620, 8618])).
% 25.61/16.90 tff(8622,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8623,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8622, 8621])).
% 25.61/16.90 tff(8624,plain,
% 25.61/16.90 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8623, 374, 8245])).
% 25.61/16.90 tff(8625,plain,
% 25.61/16.90 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8624, 8617])).
% 25.61/16.90 tff(8626,plain,
% 25.61/16.90 (~v90(constB63, bitIndex2)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8625, 8602])).
% 25.61/16.90 tff(8627,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8628,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8629,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8628, 8627])).
% 25.61/16.90 tff(8630,plain,
% 25.61/16.90 (~v130(constB61, bitIndex1)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8629, 2415, 8580, 8576, 8572, 8568, 8564, 8560])).
% 25.61/16.90 tff(8631,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8632,plain,
% 25.61/16.90 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8633,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8632])).
% 25.61/16.90 tff(8634,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8633, 8631])).
% 25.61/16.90 tff(8635,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8636,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 25.61/16.90 tff(8637,plain,
% 25.61/16.90 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8636, 751, 8504])).
% 25.61/16.90 tff(8638,plain,
% 25.61/16.90 (~v127(constB61, bitIndex1)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8637, 8630])).
% 25.61/16.90 tff(8639,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8640,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8641,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 25.61/16.90 tff(8642,plain,
% 25.61/16.90 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8641, 769, 57])).
% 25.61/16.90 tff(8643,plain,
% 25.61/16.90 (~v129(constB62, bitIndex1)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8642, 8638])).
% 25.61/16.90 tff(8644,plain,
% 25.61/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8645,plain,
% 25.61/16.90 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8646,plain,
% 25.61/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8645])).
% 25.61/16.90 tff(8647,plain,
% 25.61/16.90 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8646, 8644])).
% 25.61/16.90 tff(8648,plain,
% 25.61/16.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8649,plain,
% 25.61/16.90 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 25.61/16.90 tff(8650,plain,
% 25.61/16.90 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8649, 784, 8643])).
% 25.61/16.90 tff(8651,plain,
% 25.61/16.90 (~v90(constB62, bitIndex1)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8650, 8556])).
% 25.61/16.90 tff(8652,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8653,plain,
% 25.61/16.90 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8654,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8653])).
% 25.61/16.90 tff(8655,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8654, 8652])).
% 25.61/16.90 tff(8656,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8657,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 25.61/16.90 tff(8658,plain,
% 25.61/16.90 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8657, 395, 8245])).
% 25.61/16.90 tff(8659,plain,
% 25.61/16.90 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8658, 8617])).
% 25.61/16.90 tff(8660,plain,
% 25.61/16.90 (~v90(constB63, bitIndex1)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8659, 8651])).
% 25.61/16.90 tff(8661,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8662,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8663,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8662, 8661])).
% 25.61/16.90 tff(8664,plain,
% 25.61/16.90 (v130(constB61, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8663, 2459, 8580, 8576, 8572, 8568, 8564, 8560])).
% 25.61/16.90 tff(8665,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8666,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8667,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8666, 8665])).
% 25.61/16.90 tff(8668,plain,
% 25.61/16.90 ((~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8667, 822, 8504])).
% 25.61/16.90 tff(8669,plain,
% 25.61/16.90 (v127(constB61, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8668, 8664])).
% 25.61/16.90 tff(8670,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8671,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8672,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8671, 8670])).
% 25.61/16.90 tff(8673,plain,
% 25.61/16.90 ((~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8672, 837, 57])).
% 25.61/16.90 tff(8674,plain,
% 25.61/16.90 (v129(constB62, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8673, 8669])).
% 25.61/16.90 tff(8675,plain,
% 25.61/16.90 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8676,plain,
% 25.61/16.90 ((v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8677,plain,
% 25.61/16.90 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8676])).
% 25.61/16.90 tff(8678,plain,
% 25.61/16.90 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8677, 8675])).
% 25.61/16.90 tff(8679,plain,
% 25.61/16.90 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8680,plain,
% 25.61/16.90 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8679, 8678])).
% 25.61/16.90 tff(8681,plain,
% 25.61/16.90 (v90(constB62, bitIndex0) | (~v100(constB62))),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8680, 852, 8674])).
% 25.61/16.90 tff(8682,plain,
% 25.61/16.90 (v90(constB62, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8681, 8556])).
% 25.61/16.90 tff(8683,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8684,plain,
% 25.61/16.90 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8685,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8684])).
% 25.61/16.90 tff(8686,plain,
% 25.61/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8685, 8683])).
% 25.61/16.90 tff(8687,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8688,plain,
% 25.61/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 25.61/16.90 tff(8689,plain,
% 25.61/16.90 ((~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8688, 870, 8245])).
% 25.61/16.90 tff(8690,plain,
% 25.61/16.90 ((~v90(constB62, bitIndex0)) | v90(constB63, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8689, 8617])).
% 25.61/16.90 tff(8691,plain,
% 25.61/16.90 (v90(constB63, bitIndex0)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8690, 8682])).
% 25.61/16.90 tff(8692,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8693,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8694,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 25.61/16.90 tff(8695,plain,
% 25.61/16.90 (v120(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8694, 889, 8691, 8660, 8626])).
% 25.61/16.90 tff(8696,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB63)) | v118(constB63))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8697,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8698,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB63)) | v118(constB63)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8697, 8696])).
% 25.61/16.90 tff(8699,plain,
% 25.61/16.90 (v118(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8698, 900, 8695])).
% 25.61/16.90 tff(8700,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8701,plain,
% 25.61/16.90 (((~v118(constB63)) | v117(constB63)) <=> (v117(constB63) | (~v118(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8702,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8701])).
% 25.61/16.90 tff(8703,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8702, 8700])).
% 25.61/16.90 tff(8704,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8705,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 25.61/16.90 tff(8706,plain,
% 25.61/16.90 (v117(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8705, 462, 8699])).
% 25.61/16.90 tff(8707,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB63) | (~v117(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8708,plain,
% 25.61/16.90 (((~v117(constB63)) | v116(constB63)) <=> (v116(constB63) | (~v117(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8709,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB63) | (~v117(constB63))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8708])).
% 25.61/16.90 tff(8710,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB63) | (~v117(constB63)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8709, 8707])).
% 25.61/16.90 tff(8711,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8712,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB63) | (~v117(constB63))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 25.61/16.90 tff(8713,plain,
% 25.61/16.90 (v116(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8712, 476, 8706])).
% 25.61/16.90 tff(8714,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8715,plain,
% 25.61/16.90 (((~v116(constB63)) | v115(constB63)) <=> (v115(constB63) | (~v116(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8716,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8715])).
% 25.61/16.90 tff(8717,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 25.61/16.90 inference(transitivity,[status(thm)],[8716, 8714])).
% 25.61/16.90 tff(8718,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8719,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63))),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 25.61/16.90 tff(8720,plain,
% 25.61/16.90 (v115(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8719, 490, 8713])).
% 25.61/16.90 tff(8721,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB63)) | v114(constB63))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8722,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 25.61/16.90 inference(quant_inst,[status(thm)],[])).
% 25.61/16.90 tff(8723,plain,
% 25.61/16.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB63)) | v114(constB63)),
% 25.61/16.90 inference(modus_ponens,[status(thm)],[8722, 8721])).
% 25.61/16.90 tff(8724,plain,
% 25.61/16.90 (v114(constB63)),
% 25.61/16.90 inference(unit_resolution,[status(thm)],[8723, 504, 8720])).
% 25.61/16.90 tff(8725,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8726,plain,
% 25.61/16.90 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 25.61/16.90 inference(rewrite,[status(thm)],[])).
% 25.61/16.90 tff(8727,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 25.61/16.90 inference(monotonicity,[status(thm)],[8726])).
% 25.61/16.90 tff(8728,plain,
% 25.61/16.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8727, 8725])).
% 25.61/16.91 tff(8729,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8730,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 25.61/16.91 tff(8731,plain,
% 25.61/16.91 (v113(constB63)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8730, 518, 8724])).
% 25.61/16.91 tff(8732,assumption,(v26(constB63)), introduced(assumption)).
% 25.61/16.91 tff(8733,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8734,plain,
% 25.61/16.91 ($false),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8733, 120, 8732])).
% 25.61/16.91 tff(8735,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.91 tff(8736,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8737,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8738,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 25.61/16.91 tff(8739,plain,
% 25.61/16.91 ((~v113(constB63)) | v112(constB63)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8738, 532, 8735])).
% 25.61/16.91 tff(8740,plain,
% 25.61/16.91 (v112(constB63)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8739, 8731])).
% 25.61/16.91 tff(8741,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8742,plain,
% 25.61/16.91 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8743,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8742])).
% 25.61/16.91 tff(8744,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8743, 8741])).
% 25.61/16.91 tff(8745,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8746,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 25.61/16.91 tff(8747,plain,
% 25.61/16.91 (v108(constB63)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8746, 544, 8740])).
% 25.61/16.91 tff(8748,plain,
% 25.61/16.91 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8749,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 25.61/16.91 tff(8750,plain,
% 25.61/16.91 (nextState(constB63, constB64)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 25.61/16.91 tff(8751,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8752,plain,
% 25.61/16.91 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8753,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8752])).
% 25.61/16.91 tff(8754,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8753, 8751])).
% 25.61/16.91 tff(8755,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8756,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 25.61/16.91 tff(8757,plain,
% 25.61/16.91 (v110(constB64) | (~v108(constB63))),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8756, 564, 8750])).
% 25.61/16.91 tff(8758,plain,
% 25.61/16.91 (v110(constB64)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8757, 8747])).
% 25.61/16.91 tff(8759,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8760,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8761,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 25.61/16.91 tff(8762,plain,
% 25.61/16.91 (~v104(constB64)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8761, 582, 8750, 8605])).
% 25.61/16.91 tff(8763,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8764,plain,
% 25.61/16.91 (((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8765,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8764])).
% 25.61/16.91 tff(8766,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8765, 8763])).
% 25.61/16.91 tff(8767,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8768,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | v102(constB64)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 25.61/16.91 tff(8769,plain,
% 25.61/16.91 (v104(constB64) | v102(constB64)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8768, 596, 8750])).
% 25.61/16.91 tff(8770,plain,
% 25.61/16.91 (v102(constB64)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8769, 8762])).
% 25.61/16.91 tff(8771,plain,
% 25.61/16.91 (v1(constB64) <=> v1(constB64)),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8772,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 25.61/16.91 tff(8773,plain,
% 25.61/16.91 (v1(constB64)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8772, 8771])).
% 25.61/16.91 tff(8774,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8775,plain,
% 25.61/16.91 (((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))) <=> ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8776,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8775])).
% 25.61/16.91 tff(8777,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64)))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8776, 8774])).
% 25.61/16.91 tff(8778,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8779,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | (~v1(constB64)) | v101(constB64) | (~v102(constB64))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 25.61/16.91 tff(8780,plain,
% 25.61/16.91 (v101(constB64) | (~v102(constB64))),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8779, 617, 8750, 8773])).
% 25.61/16.91 tff(8781,plain,
% 25.61/16.91 (v101(constB64)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8780, 8770])).
% 25.61/16.91 tff(8782,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8783,plain,
% 25.61/16.91 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8784,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8783])).
% 25.61/16.91 tff(8785,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8784, 8782])).
% 25.61/16.91 tff(8786,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8787,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8786, 8785])).
% 25.61/16.91 tff(8788,plain,
% 25.61/16.91 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8787, 635, 8750])).
% 25.61/16.91 tff(8789,plain,
% 25.61/16.91 (v100(constB64) | (~v110(constB64))),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8788, 8781])).
% 25.61/16.91 tff(8790,plain,
% 25.61/16.91 (v100(constB64)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8789, 8758])).
% 25.61/16.91 tff(8791,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8792,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8793,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8792, 8791])).
% 25.61/16.91 tff(8794,plain,
% 25.61/16.91 (~v130(constB63, bitIndex2)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8793, 1005, 8695])).
% 25.61/16.91 tff(8795,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8796,plain,
% 25.61/16.91 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8797,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8796])).
% 25.61/16.91 tff(8798,plain,
% 25.61/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8797, 8795])).
% 25.61/16.91 tff(8799,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8800,plain,
% 25.61/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8799, 8798])).
% 25.61/16.91 tff(8801,plain,
% 25.61/16.91 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8800, 665, 8735])).
% 25.61/16.91 tff(8802,plain,
% 25.61/16.91 (~v127(constB63, bitIndex2)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8801, 8794])).
% 25.61/16.91 tff(8803,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8804,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8805,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8804, 8803])).
% 25.61/16.91 tff(8806,plain,
% 25.61/16.91 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8805, 683, 8750])).
% 25.61/16.91 tff(8807,plain,
% 25.61/16.91 (~v129(constB64, bitIndex2)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8806, 8802])).
% 25.61/16.91 tff(8808,plain,
% 25.61/16.91 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8809,plain,
% 25.61/16.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8810,plain,
% 25.61/16.91 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 25.61/16.91 tff(8811,plain,
% 25.61/16.91 ((~v90(constB64, bitIndex2)) | (~v100(constB64))),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8810, 698, 8807])).
% 25.61/16.91 tff(8812,plain,
% 25.61/16.91 (~v90(constB64, bitIndex2)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8811, 8790])).
% 25.61/16.91 tff(8813,plain,
% 25.61/16.91 ((~v1(constB65)) <=> (~v1(constB65))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8814,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 25.61/16.91 tff(8815,plain,
% 25.61/16.91 (~v1(constB65)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 25.61/16.91 tff(8816,plain,
% 25.61/16.91 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8817,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 25.61/16.91 tff(8818,plain,
% 25.61/16.91 (nextState(constB64, constB65)),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 25.61/16.91 tff(8819,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8820,plain,
% 25.61/16.91 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8821,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 25.61/16.91 inference(monotonicity,[status(thm)],[8820])).
% 25.61/16.91 tff(8822,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 25.61/16.91 inference(transitivity,[status(thm)],[8821, 8819])).
% 25.61/16.91 tff(8823,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8824,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 25.61/16.91 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 25.61/16.91 tff(8825,plain,
% 25.61/16.91 (~v101(constB65)),
% 25.61/16.91 inference(unit_resolution,[status(thm)],[8824, 342, 8818, 8815])).
% 25.61/16.91 tff(8826,plain,
% 25.61/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 25.61/16.91 inference(rewrite,[status(thm)],[])).
% 25.61/16.91 tff(8827,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 25.61/16.91 inference(quant_inst,[status(thm)],[])).
% 25.61/16.91 tff(8828,plain,
% 25.61/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 25.65/16.91 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 25.65/16.91 tff(8829,plain,
% 25.65/16.91 (v101(constB65) | (~v100(constB65))),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8828, 359, 8818])).
% 25.65/16.91 tff(8830,plain,
% 25.65/16.91 (~v100(constB65)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8829, 8825])).
% 25.65/16.91 tff(8831,plain,
% 25.65/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8832,plain,
% 25.65/16.91 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8833,plain,
% 25.65/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))))),
% 25.65/16.91 inference(monotonicity,[status(thm)],[8832])).
% 25.65/16.91 tff(8834,plain,
% 25.65/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 25.65/16.91 inference(transitivity,[status(thm)],[8833, 8831])).
% 25.65/16.91 tff(8835,plain,
% 25.65/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 25.65/16.91 inference(quant_inst,[status(thm)],[])).
% 25.65/16.91 tff(8836,plain,
% 25.65/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 25.65/16.91 inference(modus_ponens,[status(thm)],[8835, 8834])).
% 25.65/16.91 tff(8837,plain,
% 25.65/16.91 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8836, 374, 8818])).
% 25.65/16.91 tff(8838,plain,
% 25.65/16.91 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8837, 8830])).
% 25.65/16.91 tff(8839,plain,
% 25.65/16.91 (~v90(constB65, bitIndex2)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8838, 8812])).
% 25.65/16.91 tff(8840,plain,
% 25.65/16.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8841,plain,
% 25.65/16.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))),
% 25.65/16.91 inference(quant_inst,[status(thm)],[])).
% 25.65/16.91 tff(8842,plain,
% 25.65/16.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1)),
% 25.65/16.91 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 25.65/16.91 tff(8843,plain,
% 25.65/16.91 (v130(constB63, bitIndex1)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8842, 1061, 8695])).
% 25.65/16.91 tff(8844,plain,
% 25.65/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8845,plain,
% 25.65/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 25.65/16.91 inference(quant_inst,[status(thm)],[])).
% 25.65/16.91 tff(8846,plain,
% 25.65/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 25.65/16.91 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 25.65/16.91 tff(8847,plain,
% 25.65/16.91 ((~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8846, 1075, 8735])).
% 25.65/16.91 tff(8848,plain,
% 25.65/16.91 (v127(constB63, bitIndex1)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8847, 8843])).
% 25.65/16.91 tff(8849,plain,
% 25.65/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8850,plain,
% 25.65/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 25.65/16.91 inference(quant_inst,[status(thm)],[])).
% 25.65/16.91 tff(8851,plain,
% 25.65/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 25.65/16.91 inference(modus_ponens,[status(thm)],[8850, 8849])).
% 25.65/16.91 tff(8852,plain,
% 25.65/16.91 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8851, 1090, 8750])).
% 25.65/16.91 tff(8853,plain,
% 25.65/16.91 (v129(constB64, bitIndex1)),
% 25.65/16.91 inference(unit_resolution,[status(thm)],[8852, 8848])).
% 25.65/16.91 tff(8854,plain,
% 25.65/16.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8855,plain,
% 25.65/16.91 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 25.65/16.91 inference(rewrite,[status(thm)],[])).
% 25.65/16.91 tff(8856,plain,
% 25.65/16.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 25.65/16.91 inference(monotonicity,[status(thm)],[8855])).
% 25.65/16.91 tff(8857,plain,
% 25.65/16.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8856, 8854])).
% 25.65/16.92 tff(8858,plain,
% 25.65/16.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8859,plain,
% 25.65/16.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8858, 8857])).
% 25.65/16.92 tff(8860,plain,
% 25.65/16.92 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8859, 1105, 8853])).
% 25.65/16.92 tff(8861,plain,
% 25.65/16.92 (v90(constB64, bitIndex1)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8860, 8790])).
% 25.65/16.92 tff(8862,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8863,plain,
% 25.65/16.92 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8864,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8863])).
% 25.65/16.92 tff(8865,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8864, 8862])).
% 25.65/16.92 tff(8866,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8867,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8866, 8865])).
% 25.65/16.92 tff(8868,plain,
% 25.65/16.92 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8867, 1123, 8818])).
% 25.65/16.92 tff(8869,plain,
% 25.65/16.92 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8868, 8830])).
% 25.65/16.92 tff(8870,plain,
% 25.65/16.92 (v90(constB65, bitIndex1)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8869, 8861])).
% 25.65/16.92 tff(8871,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8872,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8873,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8872, 8871])).
% 25.65/16.92 tff(8874,plain,
% 25.65/16.92 (~v130(constB63, bitIndex0)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8873, 1139, 8695])).
% 25.65/16.92 tff(8875,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8876,plain,
% 25.65/16.92 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8877,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8876])).
% 25.65/16.92 tff(8878,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8877, 8875])).
% 25.65/16.92 tff(8879,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8880,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 25.65/16.92 tff(8881,plain,
% 25.65/16.92 ((~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8880, 1153, 8735])).
% 25.65/16.92 tff(8882,plain,
% 25.65/16.92 (~v127(constB63, bitIndex0)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8881, 8874])).
% 25.65/16.92 tff(8883,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8884,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8885,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 25.65/16.92 tff(8886,plain,
% 25.65/16.92 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8885, 1171, 8750])).
% 25.65/16.92 tff(8887,plain,
% 25.65/16.92 (~v129(constB64, bitIndex0)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8886, 8882])).
% 25.65/16.92 tff(8888,plain,
% 25.65/16.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8889,plain,
% 25.65/16.92 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8890,plain,
% 25.65/16.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8889])).
% 25.65/16.92 tff(8891,plain,
% 25.65/16.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8890, 8888])).
% 25.65/16.92 tff(8892,plain,
% 25.65/16.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8893,plain,
% 25.65/16.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 25.65/16.92 tff(8894,plain,
% 25.65/16.92 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8893, 1186, 8887])).
% 25.65/16.92 tff(8895,plain,
% 25.65/16.92 (~v90(constB64, bitIndex0)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8894, 8790])).
% 25.65/16.92 tff(8896,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8897,plain,
% 25.65/16.92 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8898,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8897])).
% 25.65/16.92 tff(8899,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8898, 8896])).
% 25.65/16.92 tff(8900,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8901,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 25.65/16.92 tff(8902,plain,
% 25.65/16.92 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8901, 416, 8818])).
% 25.65/16.92 tff(8903,plain,
% 25.65/16.92 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8902, 8830])).
% 25.65/16.92 tff(8904,plain,
% 25.65/16.92 (~v90(constB65, bitIndex0)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8903, 8895])).
% 25.65/16.92 tff(8905,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8906,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8907,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8906, 8905])).
% 25.65/16.92 tff(8908,plain,
% 25.65/16.92 (v121(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8907, 1213, 8904, 8870, 8839])).
% 25.65/16.92 tff(8909,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8910,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8911,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 25.65/16.92 tff(8912,plain,
% 25.65/16.92 (v117(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8911, 1224, 8908])).
% 25.65/16.92 tff(8913,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB65)) | v116(constB65))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8914,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8915,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB65)) | v116(constB65)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 25.65/16.92 tff(8916,plain,
% 25.65/16.92 (v116(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8915, 476, 8912])).
% 25.65/16.92 tff(8917,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8918,plain,
% 25.65/16.92 (((~v116(constB65)) | v115(constB65)) <=> (v115(constB65) | (~v116(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8919,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8918])).
% 25.65/16.92 tff(8920,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8919, 8917])).
% 25.65/16.92 tff(8921,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8922,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 25.65/16.92 tff(8923,plain,
% 25.65/16.92 (v115(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8922, 490, 8916])).
% 25.65/16.92 tff(8924,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8925,plain,
% 25.65/16.92 (((~v115(constB65)) | v114(constB65)) <=> (v114(constB65) | (~v115(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8926,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8925])).
% 25.65/16.92 tff(8927,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8926, 8924])).
% 25.65/16.92 tff(8928,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8929,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8928, 8927])).
% 25.65/16.92 tff(8930,plain,
% 25.65/16.92 (v114(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8929, 504, 8923])).
% 25.65/16.92 tff(8931,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8932,plain,
% 25.65/16.92 (((~v114(constB65)) | v113(constB65)) <=> (v113(constB65) | (~v114(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8933,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8932])).
% 25.65/16.92 tff(8934,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8933, 8931])).
% 25.65/16.92 tff(8935,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8936,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8935, 8934])).
% 25.65/16.92 tff(8937,plain,
% 25.65/16.92 (v113(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8936, 518, 8930])).
% 25.65/16.92 tff(8938,assumption,(v26(constB65)), introduced(assumption)).
% 25.65/16.92 tff(8939,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8940,plain,
% 25.65/16.92 ($false),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8939, 120, 8938])).
% 25.65/16.92 tff(8941,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 25.65/16.92 tff(8942,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8943,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8944,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8943, 8942])).
% 25.65/16.92 tff(8945,plain,
% 25.65/16.92 ((~v113(constB65)) | v112(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8944, 532, 8941])).
% 25.65/16.92 tff(8946,plain,
% 25.65/16.92 (v112(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8945, 8937])).
% 25.65/16.92 tff(8947,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8948,plain,
% 25.65/16.92 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8949,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8948])).
% 25.65/16.92 tff(8950,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8949, 8947])).
% 25.65/16.92 tff(8951,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8952,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 25.65/16.92 tff(8953,plain,
% 25.65/16.92 (v108(constB65)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8952, 544, 8946])).
% 25.65/16.92 tff(8954,plain,
% 25.65/16.92 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8955,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 25.65/16.92 tff(8956,plain,
% 25.65/16.92 (nextState(constB65, constB66)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8955, 8954])).
% 25.65/16.92 tff(8957,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8958,plain,
% 25.65/16.92 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8959,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8958])).
% 25.65/16.92 tff(8960,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8959, 8957])).
% 25.65/16.92 tff(8961,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8962,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8961, 8960])).
% 25.65/16.92 tff(8963,plain,
% 25.65/16.92 (v110(constB66) | (~v108(constB65))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8962, 564, 8956])).
% 25.65/16.92 tff(8964,plain,
% 25.65/16.92 (v110(constB66)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8963, 8953])).
% 25.65/16.92 tff(8965,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8966,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8967,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 25.65/16.92 tff(8968,plain,
% 25.65/16.92 (~v104(constB66)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8967, 582, 8956, 8815])).
% 25.65/16.92 tff(8969,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8970,plain,
% 25.65/16.92 (((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8971,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8970])).
% 25.65/16.92 tff(8972,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8971, 8969])).
% 25.65/16.92 tff(8973,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8974,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | v102(constB66)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 25.65/16.92 tff(8975,plain,
% 25.65/16.92 (v104(constB66) | v102(constB66)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8974, 596, 8956])).
% 25.65/16.92 tff(8976,plain,
% 25.65/16.92 (v102(constB66)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8975, 8968])).
% 25.65/16.92 tff(8977,plain,
% 25.65/16.92 (v1(constB66) <=> v1(constB66)),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8978,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 25.65/16.92 tff(8979,plain,
% 25.65/16.92 (v1(constB66)),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8978, 8977])).
% 25.65/16.92 tff(8980,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8981,plain,
% 25.65/16.92 (((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))) <=> ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8982,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8981])).
% 25.65/16.92 tff(8983,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8982, 8980])).
% 25.65/16.92 tff(8984,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8985,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | (~v1(constB66)) | v101(constB66) | (~v102(constB66))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8984, 8983])).
% 25.65/16.92 tff(8986,plain,
% 25.65/16.92 (v101(constB66) | (~v102(constB66))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8985, 617, 8956, 8979])).
% 25.65/16.92 tff(8987,plain,
% 25.65/16.92 (v101(constB66)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8986, 8976])).
% 25.65/16.92 tff(8988,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8989,plain,
% 25.65/16.92 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8990,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 25.65/16.92 inference(monotonicity,[status(thm)],[8989])).
% 25.65/16.92 tff(8991,plain,
% 25.65/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 25.65/16.92 inference(transitivity,[status(thm)],[8990, 8988])).
% 25.65/16.92 tff(8992,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8993,plain,
% 25.65/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8992, 8991])).
% 25.65/16.92 tff(8994,plain,
% 25.65/16.92 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8993, 635, 8956])).
% 25.65/16.92 tff(8995,plain,
% 25.65/16.92 (v100(constB66) | (~v110(constB66))),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8994, 8987])).
% 25.65/16.92 tff(8996,plain,
% 25.65/16.92 (v100(constB66)),
% 25.65/16.92 inference(unit_resolution,[status(thm)],[8995, 8964])).
% 25.65/16.92 tff(8997,plain,
% 25.65/16.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 25.65/16.92 inference(rewrite,[status(thm)],[])).
% 25.65/16.92 tff(8998,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 25.65/16.92 inference(quant_inst,[status(thm)],[])).
% 25.65/16.92 tff(8999,plain,
% 25.65/16.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 25.65/16.92 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 25.65/16.92 tff(9000,plain,
% 25.65/16.92 (~v130(constB65, bitIndex2)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[8999, 1325, 8908])).
% 25.65/16.93 tff(9001,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9002,plain,
% 25.65/16.93 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9003,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9002])).
% 25.65/16.93 tff(9004,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9003, 9001])).
% 25.65/16.93 tff(9005,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9006,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9005, 9004])).
% 25.65/16.93 tff(9007,plain,
% 25.65/16.93 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9006, 665, 8941])).
% 25.65/16.93 tff(9008,plain,
% 25.65/16.93 (~v127(constB65, bitIndex2)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9007, 9000])).
% 25.65/16.93 tff(9009,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9010,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9011,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9010, 9009])).
% 25.65/16.93 tff(9012,plain,
% 25.65/16.93 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9011, 683, 8956])).
% 25.65/16.93 tff(9013,plain,
% 25.65/16.93 (~v129(constB66, bitIndex2)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9012, 9008])).
% 25.65/16.93 tff(9014,plain,
% 25.65/16.93 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9015,plain,
% 25.65/16.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9016,plain,
% 25.65/16.93 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 25.65/16.93 tff(9017,plain,
% 25.65/16.93 ((~v90(constB66, bitIndex2)) | (~v100(constB66))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9016, 698, 9013])).
% 25.65/16.93 tff(9018,plain,
% 25.65/16.93 (~v90(constB66, bitIndex2)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9017, 8996])).
% 25.65/16.93 tff(9019,plain,
% 25.65/16.93 ((~v1(constB67)) <=> (~v1(constB67))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9020,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 25.65/16.93 tff(9021,plain,
% 25.65/16.93 (~v1(constB67)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 25.65/16.93 tff(9022,plain,
% 25.65/16.93 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9023,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 25.65/16.93 tff(9024,plain,
% 25.65/16.93 (nextState(constB66, constB67)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9023, 9022])).
% 25.65/16.93 tff(9025,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9026,plain,
% 25.65/16.93 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9027,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9026])).
% 25.65/16.93 tff(9028,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9027, 9025])).
% 25.65/16.93 tff(9029,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9030,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 25.65/16.93 tff(9031,plain,
% 25.65/16.93 (~v101(constB67)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9030, 342, 9024, 9021])).
% 25.65/16.93 tff(9032,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9033,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9034,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 25.65/16.93 tff(9035,plain,
% 25.65/16.93 (v101(constB67) | (~v100(constB67))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9034, 359, 9024])).
% 25.65/16.93 tff(9036,plain,
% 25.65/16.93 (~v100(constB67)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9035, 9031])).
% 25.65/16.93 tff(9037,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9038,plain,
% 25.65/16.93 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9039,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9038])).
% 25.65/16.93 tff(9040,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9039, 9037])).
% 25.65/16.93 tff(9041,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9042,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 25.65/16.93 tff(9043,plain,
% 25.65/16.93 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9042, 374, 9024])).
% 25.65/16.93 tff(9044,plain,
% 25.65/16.93 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9043, 9036])).
% 25.65/16.93 tff(9045,plain,
% 25.65/16.93 (~v90(constB67, bitIndex2)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9044, 9018])).
% 25.65/16.93 tff(9046,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9047,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9048,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 25.65/16.93 tff(9049,plain,
% 25.65/16.93 (v130(constB65, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9048, 1375, 8908])).
% 25.65/16.93 tff(9050,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9051,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9052,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 25.65/16.93 tff(9053,plain,
% 25.65/16.93 ((~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9052, 1075, 8941])).
% 25.65/16.93 tff(9054,plain,
% 25.65/16.93 (v127(constB65, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9053, 9049])).
% 25.65/16.93 tff(9055,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9056,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9057,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 25.65/16.93 tff(9058,plain,
% 25.65/16.93 ((~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9057, 1090, 8956])).
% 25.65/16.93 tff(9059,plain,
% 25.65/16.93 (v129(constB66, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9058, 9054])).
% 25.65/16.93 tff(9060,plain,
% 25.65/16.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9061,plain,
% 25.65/16.93 ((v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9062,plain,
% 25.65/16.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9061])).
% 25.65/16.93 tff(9063,plain,
% 25.65/16.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9062, 9060])).
% 25.65/16.93 tff(9064,plain,
% 25.65/16.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9065,plain,
% 25.65/16.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 25.65/16.93 tff(9066,plain,
% 25.65/16.93 (v90(constB66, bitIndex1) | (~v100(constB66))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9065, 1105, 9059])).
% 25.65/16.93 tff(9067,plain,
% 25.65/16.93 (v90(constB66, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9066, 8996])).
% 25.65/16.93 tff(9068,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9069,plain,
% 25.65/16.93 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9070,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9069])).
% 25.65/16.93 tff(9071,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9070, 9068])).
% 25.65/16.93 tff(9072,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9073,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 25.65/16.93 tff(9074,plain,
% 25.65/16.93 ((~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9073, 1123, 9024])).
% 25.65/16.93 tff(9075,plain,
% 25.65/16.93 ((~v90(constB66, bitIndex1)) | v90(constB67, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9074, 9036])).
% 25.65/16.93 tff(9076,plain,
% 25.65/16.93 (v90(constB67, bitIndex1)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9075, 9067])).
% 25.65/16.93 tff(9077,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9078,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9079,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 25.65/16.93 tff(9080,plain,
% 25.65/16.93 (v130(constB65, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9079, 1413, 8908])).
% 25.65/16.93 tff(9081,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9082,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9083,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9082, 9081])).
% 25.65/16.93 tff(9084,plain,
% 25.65/16.93 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9083, 822, 8941])).
% 25.65/16.93 tff(9085,plain,
% 25.65/16.93 (v127(constB65, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9084, 9080])).
% 25.65/16.93 tff(9086,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9087,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9088,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 25.65/16.93 tff(9089,plain,
% 25.65/16.93 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9088, 837, 8956])).
% 25.65/16.93 tff(9090,plain,
% 25.65/16.93 (v129(constB66, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9089, 9085])).
% 25.65/16.93 tff(9091,plain,
% 25.65/16.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9092,plain,
% 25.65/16.93 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9093,plain,
% 25.65/16.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9092])).
% 25.65/16.93 tff(9094,plain,
% 25.65/16.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9093, 9091])).
% 25.65/16.93 tff(9095,plain,
% 25.65/16.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9096,plain,
% 25.65/16.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 25.65/16.93 tff(9097,plain,
% 25.65/16.93 (v90(constB66, bitIndex0) | (~v100(constB66))),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9096, 852, 9090])).
% 25.65/16.93 tff(9098,plain,
% 25.65/16.93 (v90(constB66, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9097, 8996])).
% 25.65/16.93 tff(9099,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9100,plain,
% 25.65/16.93 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9101,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9100])).
% 25.65/16.93 tff(9102,plain,
% 25.65/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9101, 9099])).
% 25.65/16.93 tff(9103,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9104,plain,
% 25.65/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 25.65/16.93 tff(9105,plain,
% 25.65/16.93 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9104, 870, 9024])).
% 25.65/16.93 tff(9106,plain,
% 25.65/16.93 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9105, 9036])).
% 25.65/16.93 tff(9107,plain,
% 25.65/16.93 (v90(constB67, bitIndex0)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9106, 9098])).
% 25.65/16.93 tff(9108,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9109,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9110,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67)),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9109, 9108])).
% 25.65/16.93 tff(9111,plain,
% 25.65/16.93 (v122(constB67)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9110, 1454, 9107, 9076, 9045])).
% 25.65/16.93 tff(9112,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB67) | (~v122(constB67)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v122(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9113,plain,
% 25.65/16.93 (((~v122(constB67)) | v116(constB67)) <=> (v116(constB67) | (~v122(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9114,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB67) | (~v122(constB67))))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9113])).
% 25.65/16.93 tff(9115,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v122(constB67)))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9114, 9112])).
% 25.65/16.93 tff(9116,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))),
% 25.65/16.93 inference(quant_inst,[status(thm)],[])).
% 25.65/16.93 tff(9117,plain,
% 25.65/16.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB67) | (~v122(constB67))),
% 25.65/16.93 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 25.65/16.93 tff(9118,plain,
% 25.65/16.93 (v116(constB67)),
% 25.65/16.93 inference(unit_resolution,[status(thm)],[9117, 1465, 9111])).
% 25.65/16.93 tff(9119,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9120,plain,
% 25.65/16.93 (((~v116(constB67)) | v115(constB67)) <=> (v115(constB67) | (~v116(constB67)))),
% 25.65/16.93 inference(rewrite,[status(thm)],[])).
% 25.65/16.93 tff(9121,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67))))),
% 25.65/16.93 inference(monotonicity,[status(thm)],[9120])).
% 25.65/16.93 tff(9122,plain,
% 25.65/16.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 25.65/16.93 inference(transitivity,[status(thm)],[9121, 9119])).
% 25.65/16.94 tff(9123,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9124,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 25.65/16.94 tff(9125,plain,
% 25.65/16.94 (v115(constB67)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9124, 490, 9118])).
% 25.65/16.94 tff(9126,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9127,plain,
% 25.65/16.94 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9128,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9127])).
% 25.65/16.94 tff(9129,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9128, 9126])).
% 25.65/16.94 tff(9130,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9131,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9130, 9129])).
% 25.65/16.94 tff(9132,plain,
% 25.65/16.94 (v114(constB67)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9131, 504, 9125])).
% 25.65/16.94 tff(9133,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9134,plain,
% 25.65/16.94 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9135,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9134])).
% 25.65/16.94 tff(9136,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9135, 9133])).
% 25.65/16.94 tff(9137,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9138,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 25.65/16.94 tff(9139,plain,
% 25.65/16.94 (v113(constB67)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9138, 518, 9132])).
% 25.65/16.94 tff(9140,assumption,(v26(constB67)), introduced(assumption)).
% 25.65/16.94 tff(9141,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9142,plain,
% 25.65/16.94 ($false),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9141, 120, 9140])).
% 25.65/16.94 tff(9143,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 25.65/16.94 tff(9144,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9145,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9146,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | (~v113(constB67)) | v112(constB67)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 25.65/16.94 tff(9147,plain,
% 25.65/16.94 ((~v113(constB67)) | v112(constB67)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9146, 532, 9143])).
% 25.65/16.94 tff(9148,plain,
% 25.65/16.94 (v112(constB67)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9147, 9139])).
% 25.65/16.94 tff(9149,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9150,plain,
% 25.65/16.94 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9151,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9150])).
% 25.65/16.94 tff(9152,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9151, 9149])).
% 25.65/16.94 tff(9153,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9154,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 25.65/16.94 tff(9155,plain,
% 25.65/16.94 (v108(constB67)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9154, 544, 9148])).
% 25.65/16.94 tff(9156,plain,
% 25.65/16.94 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9157,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 25.65/16.94 tff(9158,plain,
% 25.65/16.94 (nextState(constB67, constB68)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9157, 9156])).
% 25.65/16.94 tff(9159,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9160,plain,
% 25.65/16.94 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9161,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9160])).
% 25.65/16.94 tff(9162,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9161, 9159])).
% 25.65/16.94 tff(9163,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9164,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 25.65/16.94 tff(9165,plain,
% 25.65/16.94 (v110(constB68) | (~v108(constB67))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9164, 564, 9158])).
% 25.65/16.94 tff(9166,plain,
% 25.65/16.94 (v110(constB68)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9165, 9155])).
% 25.65/16.94 tff(9167,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9168,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9169,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 25.65/16.94 tff(9170,plain,
% 25.65/16.94 (~v104(constB68)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9169, 582, 9158, 9021])).
% 25.65/16.94 tff(9171,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9172,plain,
% 25.65/16.94 (((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9173,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9172])).
% 25.65/16.94 tff(9174,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9173, 9171])).
% 25.65/16.94 tff(9175,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9176,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | v102(constB68)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 25.65/16.94 tff(9177,plain,
% 25.65/16.94 (v104(constB68) | v102(constB68)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9176, 596, 9158])).
% 25.65/16.94 tff(9178,plain,
% 25.65/16.94 (v102(constB68)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9177, 9170])).
% 25.65/16.94 tff(9179,plain,
% 25.65/16.94 (v1(constB68) <=> v1(constB68)),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9180,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 25.65/16.94 tff(9181,plain,
% 25.65/16.94 (v1(constB68)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9180, 9179])).
% 25.65/16.94 tff(9182,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9183,plain,
% 25.65/16.94 (((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))) <=> ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9184,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9183])).
% 25.65/16.94 tff(9185,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9184, 9182])).
% 25.65/16.94 tff(9186,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9187,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | (~v1(constB68)) | v101(constB68) | (~v102(constB68))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9186, 9185])).
% 25.65/16.94 tff(9188,plain,
% 25.65/16.94 (v101(constB68) | (~v102(constB68))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9187, 617, 9158, 9181])).
% 25.65/16.94 tff(9189,plain,
% 25.65/16.94 (v101(constB68)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9188, 9178])).
% 25.65/16.94 tff(9190,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9191,plain,
% 25.65/16.94 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9192,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9191])).
% 25.65/16.94 tff(9193,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9192, 9190])).
% 25.65/16.94 tff(9194,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9195,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 25.65/16.94 tff(9196,plain,
% 25.65/16.94 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9195, 635, 9158])).
% 25.65/16.94 tff(9197,plain,
% 25.65/16.94 (v100(constB68) | (~v110(constB68))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9196, 9189])).
% 25.65/16.94 tff(9198,plain,
% 25.65/16.94 (v100(constB68)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9197, 9166])).
% 25.65/16.94 tff(9199,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9200,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9201,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9200, 9199])).
% 25.65/16.94 tff(9202,plain,
% 25.65/16.94 (v130(constB67, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9201, 1546, 9111])).
% 25.65/16.94 tff(9203,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9204,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9205,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 25.65/16.94 tff(9206,plain,
% 25.65/16.94 ((~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9205, 1560, 9143])).
% 25.65/16.94 tff(9207,plain,
% 25.65/16.94 (v127(constB67, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9206, 9202])).
% 25.65/16.94 tff(9208,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9209,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9210,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 25.65/16.94 tff(9211,plain,
% 25.65/16.94 ((~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9210, 1575, 9158])).
% 25.65/16.94 tff(9212,plain,
% 25.65/16.94 (v129(constB68, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9211, 9207])).
% 25.65/16.94 tff(9213,plain,
% 25.65/16.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9214,plain,
% 25.65/16.94 ((v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9215,plain,
% 25.65/16.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9214])).
% 25.65/16.94 tff(9216,plain,
% 25.65/16.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9215, 9213])).
% 25.65/16.94 tff(9217,plain,
% 25.65/16.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9218,plain,
% 25.65/16.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 25.65/16.94 tff(9219,plain,
% 25.65/16.94 (v90(constB68, bitIndex2) | (~v100(constB68))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9218, 1590, 9212])).
% 25.65/16.94 tff(9220,plain,
% 25.65/16.94 (v90(constB68, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9219, 9198])).
% 25.65/16.94 tff(9221,plain,
% 25.65/16.94 ((~v1(constB69)) <=> (~v1(constB69))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9222,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 25.65/16.94 tff(9223,plain,
% 25.65/16.94 (~v1(constB69)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 25.65/16.94 tff(9224,plain,
% 25.65/16.94 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9225,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 25.65/16.94 tff(9226,plain,
% 25.65/16.94 (nextState(constB68, constB69)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 25.65/16.94 tff(9227,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9228,plain,
% 25.65/16.94 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9229,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9228])).
% 25.65/16.94 tff(9230,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9229, 9227])).
% 25.65/16.94 tff(9231,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9232,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 25.65/16.94 tff(9233,plain,
% 25.65/16.94 (~v101(constB69)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9232, 342, 9226, 9223])).
% 25.65/16.94 tff(9234,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9235,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9236,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 25.65/16.94 tff(9237,plain,
% 25.65/16.94 (v101(constB69) | (~v100(constB69))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9236, 359, 9226])).
% 25.65/16.94 tff(9238,plain,
% 25.65/16.94 (~v100(constB69)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9237, 9233])).
% 25.65/16.94 tff(9239,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9240,plain,
% 25.65/16.94 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9241,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9240])).
% 25.65/16.94 tff(9242,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9241, 9239])).
% 25.65/16.94 tff(9243,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9244,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 25.65/16.94 tff(9245,plain,
% 25.65/16.94 ((~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9244, 1626, 9226])).
% 25.65/16.94 tff(9246,plain,
% 25.65/16.94 ((~v90(constB68, bitIndex2)) | v90(constB69, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9245, 9238])).
% 25.65/16.94 tff(9247,plain,
% 25.65/16.94 (v90(constB69, bitIndex2)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9246, 9220])).
% 25.65/16.94 tff(9248,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9249,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9250,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 25.65/16.94 tff(9251,plain,
% 25.65/16.94 (~v130(constB67, bitIndex1)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9250, 1642, 9111])).
% 25.65/16.94 tff(9252,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9253,plain,
% 25.65/16.94 ((v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1))) <=> ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9254,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)))),
% 25.65/16.94 inference(monotonicity,[status(thm)],[9253])).
% 25.65/16.94 tff(9255,plain,
% 25.65/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 25.65/16.94 inference(transitivity,[status(thm)],[9254, 9252])).
% 25.65/16.94 tff(9256,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9257,plain,
% 25.65/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9256, 9255])).
% 25.65/16.94 tff(9258,plain,
% 25.65/16.94 ((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9257, 751, 9143])).
% 25.65/16.94 tff(9259,plain,
% 25.65/16.94 (~v127(constB67, bitIndex1)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9258, 9251])).
% 25.65/16.94 tff(9260,plain,
% 25.65/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 25.65/16.94 inference(rewrite,[status(thm)],[])).
% 25.65/16.94 tff(9261,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 25.65/16.94 inference(quant_inst,[status(thm)],[])).
% 25.65/16.94 tff(9262,plain,
% 25.65/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 25.65/16.94 inference(modus_ponens,[status(thm)],[9261, 9260])).
% 25.65/16.94 tff(9263,plain,
% 25.65/16.94 (v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9262, 769, 9158])).
% 25.65/16.94 tff(9264,plain,
% 25.65/16.94 (~v129(constB68, bitIndex1)),
% 25.65/16.94 inference(unit_resolution,[status(thm)],[9263, 9259])).
% 25.65/16.94 tff(9265,plain,
% 25.65/16.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9266,plain,
% 25.65/16.95 (((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9267,plain,
% 25.65/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9266])).
% 25.65/16.95 tff(9268,plain,
% 25.65/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9267, 9265])).
% 25.65/16.95 tff(9269,plain,
% 25.65/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9270,plain,
% 25.65/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9269, 9268])).
% 25.65/16.95 tff(9271,plain,
% 25.65/16.95 ((~v90(constB68, bitIndex1)) | (~v100(constB68))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9270, 784, 9264])).
% 25.65/16.95 tff(9272,plain,
% 25.65/16.95 (~v90(constB68, bitIndex1)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9271, 9198])).
% 25.65/16.95 tff(9273,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9274,plain,
% 25.65/16.95 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9275,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9274])).
% 25.65/16.95 tff(9276,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9275, 9273])).
% 25.65/16.95 tff(9277,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9278,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 25.65/16.95 tff(9279,plain,
% 25.65/16.95 (v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9278, 395, 9226])).
% 25.65/16.95 tff(9280,plain,
% 25.65/16.95 (v90(constB68, bitIndex1) | (~v90(constB69, bitIndex1))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9279, 9238])).
% 25.65/16.95 tff(9281,plain,
% 25.65/16.95 (~v90(constB69, bitIndex1)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9280, 9272])).
% 25.65/16.95 tff(9282,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9283,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9284,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9283, 9282])).
% 25.65/16.95 tff(9285,plain,
% 25.65/16.95 (~v130(constB67, bitIndex0)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9284, 1683, 9111])).
% 25.65/16.95 tff(9286,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9287,plain,
% 25.65/16.95 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9288,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9287])).
% 25.65/16.95 tff(9289,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9288, 9286])).
% 25.65/16.95 tff(9290,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9291,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 25.65/16.95 tff(9292,plain,
% 25.65/16.95 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9291, 1153, 9143])).
% 25.65/16.95 tff(9293,plain,
% 25.65/16.95 (~v127(constB67, bitIndex0)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9292, 9285])).
% 25.65/16.95 tff(9294,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9295,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9296,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 25.65/16.95 tff(9297,plain,
% 25.65/16.95 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9296, 1171, 9158])).
% 25.65/16.95 tff(9298,plain,
% 25.65/16.95 (~v129(constB68, bitIndex0)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9297, 9293])).
% 25.65/16.95 tff(9299,plain,
% 25.65/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9300,plain,
% 25.65/16.95 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9301,plain,
% 25.65/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9300])).
% 25.65/16.95 tff(9302,plain,
% 25.65/16.95 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9301, 9299])).
% 25.65/16.95 tff(9303,plain,
% 25.65/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9304,plain,
% 25.65/16.95 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9303, 9302])).
% 25.65/16.95 tff(9305,plain,
% 25.65/16.95 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9304, 1186, 9298])).
% 25.65/16.95 tff(9306,plain,
% 25.65/16.95 (~v90(constB68, bitIndex0)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9305, 9198])).
% 25.65/16.95 tff(9307,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9308,plain,
% 25.65/16.95 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9309,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9308])).
% 25.65/16.95 tff(9310,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9309, 9307])).
% 25.65/16.95 tff(9311,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9312,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9311, 9310])).
% 25.65/16.95 tff(9313,plain,
% 25.65/16.95 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9312, 416, 9226])).
% 25.65/16.95 tff(9314,plain,
% 25.65/16.95 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9313, 9238])).
% 25.65/16.95 tff(9315,plain,
% 25.65/16.95 (~v90(constB69, bitIndex0)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9314, 9306])).
% 25.65/16.95 tff(9316,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9317,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9318,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 25.65/16.95 tff(9319,plain,
% 25.65/16.95 (v123(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9318, 1727, 9315, 9281, 9247])).
% 25.65/16.95 tff(9320,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9321,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9322,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69)),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 25.65/16.95 tff(9323,plain,
% 25.65/16.95 (v115(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9322, 1784, 9319])).
% 25.65/16.95 tff(9324,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9325,plain,
% 25.65/16.95 (((~v115(constB69)) | v114(constB69)) <=> (v114(constB69) | (~v115(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9326,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9325])).
% 25.65/16.95 tff(9327,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9326, 9324])).
% 25.65/16.95 tff(9328,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9329,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9328, 9327])).
% 25.65/16.95 tff(9330,plain,
% 25.65/16.95 (v114(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9329, 504, 9323])).
% 25.65/16.95 tff(9331,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9332,plain,
% 25.65/16.95 (((~v114(constB69)) | v113(constB69)) <=> (v113(constB69) | (~v114(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9333,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9332])).
% 25.65/16.95 tff(9334,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9333, 9331])).
% 25.65/16.95 tff(9335,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9336,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 25.65/16.95 tff(9337,plain,
% 25.65/16.95 (v113(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9336, 518, 9330])).
% 25.65/16.95 tff(9338,assumption,(v26(constB69)), introduced(assumption)).
% 25.65/16.95 tff(9339,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9340,plain,
% 25.65/16.95 ($false),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9339, 120, 9338])).
% 25.65/16.95 tff(9341,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 25.65/16.95 tff(9342,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9343,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9344,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69)),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 25.65/16.95 tff(9345,plain,
% 25.65/16.95 ((~v113(constB69)) | v112(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9344, 532, 9341])).
% 25.65/16.95 tff(9346,plain,
% 25.65/16.95 (v112(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9345, 9337])).
% 25.65/16.95 tff(9347,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9348,plain,
% 25.65/16.95 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9349,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9348])).
% 25.65/16.95 tff(9350,plain,
% 25.65/16.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9349, 9347])).
% 25.65/16.95 tff(9351,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9352,plain,
% 25.65/16.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9351, 9350])).
% 25.65/16.95 tff(9353,plain,
% 25.65/16.95 (v108(constB69)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9352, 544, 9346])).
% 25.65/16.95 tff(9354,plain,
% 25.65/16.95 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9355,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 25.65/16.95 tff(9356,plain,
% 25.65/16.95 (nextState(constB69, constB70)),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9355, 9354])).
% 25.65/16.95 tff(9357,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9358,plain,
% 25.65/16.95 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9359,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9358])).
% 25.65/16.95 tff(9360,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9359, 9357])).
% 25.65/16.95 tff(9361,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9362,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 25.65/16.95 tff(9363,plain,
% 25.65/16.95 (v110(constB70) | (~v108(constB69))),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9362, 564, 9356])).
% 25.65/16.95 tff(9364,plain,
% 25.65/16.95 (v110(constB70)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9363, 9353])).
% 25.65/16.95 tff(9365,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9366,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9367,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 25.65/16.95 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 25.65/16.95 tff(9368,plain,
% 25.65/16.95 (~v104(constB70)),
% 25.65/16.95 inference(unit_resolution,[status(thm)],[9367, 582, 9356, 9223])).
% 25.65/16.95 tff(9369,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9370,plain,
% 25.65/16.95 (((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 25.65/16.95 inference(rewrite,[status(thm)],[])).
% 25.65/16.95 tff(9371,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)))),
% 25.65/16.95 inference(monotonicity,[status(thm)],[9370])).
% 25.65/16.95 tff(9372,plain,
% 25.65/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70))),
% 25.65/16.95 inference(transitivity,[status(thm)],[9371, 9369])).
% 25.65/16.95 tff(9373,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 25.65/16.95 inference(quant_inst,[status(thm)],[])).
% 25.65/16.95 tff(9374,plain,
% 25.65/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | v102(constB70)),
% 25.69/16.95 inference(modus_ponens,[status(thm)],[9373, 9372])).
% 25.69/16.95 tff(9375,plain,
% 25.69/16.95 (v104(constB70) | v102(constB70)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9374, 596, 9356])).
% 25.69/16.95 tff(9376,plain,
% 25.69/16.95 (v102(constB70)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9375, 9368])).
% 25.69/16.95 tff(9377,plain,
% 25.69/16.95 (v1(constB70) <=> v1(constB70)),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9378,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 25.69/16.95 tff(9379,plain,
% 25.69/16.95 (v1(constB70)),
% 25.69/16.95 inference(modus_ponens,[status(thm)],[9378, 9377])).
% 25.69/16.95 tff(9380,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9381,plain,
% 25.69/16.95 (((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))) <=> ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9382,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))))),
% 25.69/16.95 inference(monotonicity,[status(thm)],[9381])).
% 25.69/16.95 tff(9383,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70)))),
% 25.69/16.95 inference(transitivity,[status(thm)],[9382, 9380])).
% 25.69/16.95 tff(9384,plain,
% 25.69/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 25.69/16.95 inference(quant_inst,[status(thm)],[])).
% 25.69/16.95 tff(9385,plain,
% 25.69/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | (~v1(constB70)) | v101(constB70) | (~v102(constB70))),
% 25.69/16.95 inference(modus_ponens,[status(thm)],[9384, 9383])).
% 25.69/16.95 tff(9386,plain,
% 25.69/16.95 (v101(constB70) | (~v102(constB70))),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9385, 617, 9356, 9379])).
% 25.69/16.95 tff(9387,plain,
% 25.69/16.95 (v101(constB70)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9386, 9376])).
% 25.69/16.95 tff(9388,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9389,plain,
% 25.69/16.95 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9390,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 25.69/16.95 inference(monotonicity,[status(thm)],[9389])).
% 25.69/16.95 tff(9391,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 25.69/16.95 inference(transitivity,[status(thm)],[9390, 9388])).
% 25.69/16.95 tff(9392,plain,
% 25.69/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 25.69/16.95 inference(quant_inst,[status(thm)],[])).
% 25.69/16.95 tff(9393,plain,
% 25.69/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 25.69/16.95 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 25.69/16.95 tff(9394,plain,
% 25.69/16.95 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9393, 635, 9356])).
% 25.69/16.95 tff(9395,plain,
% 25.69/16.95 (v100(constB70) | (~v110(constB70))),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9394, 9387])).
% 25.69/16.95 tff(9396,plain,
% 25.69/16.95 (v100(constB70)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9395, 9364])).
% 25.69/16.95 tff(9397,plain,
% 25.69/16.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2))),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9398,plain,
% 25.69/16.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))),
% 25.69/16.95 inference(quant_inst,[status(thm)],[])).
% 25.69/16.95 tff(9399,plain,
% 25.69/16.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2)),
% 25.69/16.95 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 25.69/16.95 tff(9400,plain,
% 25.69/16.95 (v130(constB69, bitIndex2)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9399, 1738, 9319])).
% 25.69/16.95 tff(9401,plain,
% 25.69/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 25.69/16.95 inference(rewrite,[status(thm)],[])).
% 25.69/16.95 tff(9402,plain,
% 25.69/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 25.69/16.95 inference(quant_inst,[status(thm)],[])).
% 25.69/16.95 tff(9403,plain,
% 25.69/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 25.69/16.95 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 25.69/16.95 tff(9404,plain,
% 25.69/16.95 ((~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9403, 1560, 9341])).
% 25.69/16.95 tff(9405,plain,
% 25.69/16.95 (v127(constB69, bitIndex2)),
% 25.69/16.95 inference(unit_resolution,[status(thm)],[9404, 9400])).
% 25.69/16.95 tff(9406,plain,
% 25.69/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9407,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9408,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 25.69/16.96 tff(9409,plain,
% 25.69/16.96 ((~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9408, 1575, 9356])).
% 25.69/16.96 tff(9410,plain,
% 25.69/16.96 (v129(constB70, bitIndex2)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9409, 9405])).
% 25.69/16.96 tff(9411,plain,
% 25.69/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9412,plain,
% 25.69/16.96 ((v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9413,plain,
% 25.69/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9412])).
% 25.69/16.96 tff(9414,plain,
% 25.69/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9413, 9411])).
% 25.69/16.96 tff(9415,plain,
% 25.69/16.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9416,plain,
% 25.69/16.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9415, 9414])).
% 25.69/16.96 tff(9417,plain,
% 25.69/16.96 (v90(constB70, bitIndex2) | (~v100(constB70))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9416, 1590, 9410])).
% 25.69/16.96 tff(9418,plain,
% 25.69/16.96 (v90(constB70, bitIndex2)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9417, 9396])).
% 25.69/16.96 tff(9419,plain,
% 25.69/16.96 ((~v1(constB71)) <=> (~v1(constB71))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9420,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 25.69/16.96 tff(9421,plain,
% 25.69/16.96 (~v1(constB71)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 25.69/16.96 tff(9422,plain,
% 25.69/16.96 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9423,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 25.69/16.96 tff(9424,plain,
% 25.69/16.96 (nextState(constB70, constB71)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9423, 9422])).
% 25.69/16.96 tff(9425,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9426,plain,
% 25.69/16.96 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9427,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9426])).
% 25.69/16.96 tff(9428,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9427, 9425])).
% 25.69/16.96 tff(9429,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9430,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 25.69/16.96 tff(9431,plain,
% 25.69/16.96 (~v101(constB71)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9430, 342, 9424, 9421])).
% 25.69/16.96 tff(9432,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9433,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9434,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 25.69/16.96 tff(9435,plain,
% 25.69/16.96 (v101(constB71) | (~v100(constB71))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9434, 359, 9424])).
% 25.69/16.96 tff(9436,plain,
% 25.69/16.96 (~v100(constB71)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9435, 9431])).
% 25.69/16.96 tff(9437,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9438,plain,
% 25.69/16.96 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9439,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9438])).
% 25.69/16.96 tff(9440,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9439, 9437])).
% 25.69/16.96 tff(9441,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9442,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 25.69/16.96 tff(9443,plain,
% 25.69/16.96 ((~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9442, 1626, 9424])).
% 25.69/16.96 tff(9444,plain,
% 25.69/16.96 ((~v90(constB70, bitIndex2)) | v90(constB71, bitIndex2)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9443, 9436])).
% 25.69/16.96 tff(9445,plain,
% 25.69/16.96 (v90(constB71, bitIndex2)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9444, 9418])).
% 25.69/16.96 tff(9446,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9447,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9448,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 25.69/16.96 tff(9449,plain,
% 25.69/16.96 (~v130(constB69, bitIndex1)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9448, 1893, 9319])).
% 25.69/16.96 tff(9450,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9451,plain,
% 25.69/16.96 ((v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1))) <=> ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9452,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9451])).
% 25.69/16.96 tff(9453,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9452, 9450])).
% 25.69/16.96 tff(9454,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9455,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 25.69/16.96 tff(9456,plain,
% 25.69/16.96 ((~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9455, 751, 9341])).
% 25.69/16.96 tff(9457,plain,
% 25.69/16.96 (~v127(constB69, bitIndex1)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9456, 9449])).
% 25.69/16.96 tff(9458,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9459,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9460,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 25.69/16.96 tff(9461,plain,
% 25.69/16.96 (v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9460, 769, 9356])).
% 25.69/16.96 tff(9462,plain,
% 25.69/16.96 (~v129(constB70, bitIndex1)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9461, 9457])).
% 25.69/16.96 tff(9463,plain,
% 25.69/16.96 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9464,plain,
% 25.69/16.96 (((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9465,plain,
% 25.69/16.96 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9464])).
% 25.69/16.96 tff(9466,plain,
% 25.69/16.96 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9465, 9463])).
% 25.69/16.96 tff(9467,plain,
% 25.69/16.96 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9468,plain,
% 25.69/16.96 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9467, 9466])).
% 25.69/16.96 tff(9469,plain,
% 25.69/16.96 ((~v90(constB70, bitIndex1)) | (~v100(constB70))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9468, 784, 9462])).
% 25.69/16.96 tff(9470,plain,
% 25.69/16.96 (~v90(constB70, bitIndex1)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9469, 9396])).
% 25.69/16.96 tff(9471,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9472,plain,
% 25.69/16.96 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9473,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9472])).
% 25.69/16.96 tff(9474,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9473, 9471])).
% 25.69/16.96 tff(9475,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9476,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 25.69/16.96 tff(9477,plain,
% 25.69/16.96 (v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9476, 395, 9424])).
% 25.69/16.96 tff(9478,plain,
% 25.69/16.96 (v90(constB70, bitIndex1) | (~v90(constB71, bitIndex1))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9477, 9436])).
% 25.69/16.96 tff(9479,plain,
% 25.69/16.96 (~v90(constB71, bitIndex1)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9478, 9470])).
% 25.69/16.96 tff(9480,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9481,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9482,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 25.69/16.96 tff(9483,plain,
% 25.69/16.96 (v130(constB69, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9482, 1934, 9319])).
% 25.69/16.96 tff(9484,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9485,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9486,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 25.69/16.96 tff(9487,plain,
% 25.69/16.96 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9486, 822, 9341])).
% 25.69/16.96 tff(9488,plain,
% 25.69/16.96 (v127(constB69, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9487, 9483])).
% 25.69/16.96 tff(9489,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9490,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9491,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 25.69/16.96 tff(9492,plain,
% 25.69/16.96 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9491, 837, 9356])).
% 25.69/16.96 tff(9493,plain,
% 25.69/16.96 (v129(constB70, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9492, 9488])).
% 25.69/16.96 tff(9494,plain,
% 25.69/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9495,plain,
% 25.69/16.96 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9496,plain,
% 25.69/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9495])).
% 25.69/16.96 tff(9497,plain,
% 25.69/16.96 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9496, 9494])).
% 25.69/16.96 tff(9498,plain,
% 25.69/16.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9499,plain,
% 25.69/16.96 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9498, 9497])).
% 25.69/16.96 tff(9500,plain,
% 25.69/16.96 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9499, 852, 9493])).
% 25.69/16.96 tff(9501,plain,
% 25.69/16.96 (v90(constB70, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9500, 9396])).
% 25.69/16.96 tff(9502,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9503,plain,
% 25.69/16.96 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9504,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9503])).
% 25.69/16.96 tff(9505,plain,
% 25.69/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 25.69/16.96 inference(transitivity,[status(thm)],[9504, 9502])).
% 25.69/16.96 tff(9506,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9507,plain,
% 25.69/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9506, 9505])).
% 25.69/16.96 tff(9508,plain,
% 25.69/16.96 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9507, 870, 9424])).
% 25.69/16.96 tff(9509,plain,
% 25.69/16.96 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9508, 9436])).
% 25.69/16.96 tff(9510,plain,
% 25.69/16.96 (v90(constB71, bitIndex0)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9509, 9501])).
% 25.69/16.96 tff(9511,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9512,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9513,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 25.69/16.96 tff(9514,plain,
% 25.69/16.96 (v124(constB71)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9513, 1975, 9510, 9479, 9445])).
% 25.69/16.96 tff(9515,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9516,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))),
% 25.69/16.96 inference(quant_inst,[status(thm)],[])).
% 25.69/16.96 tff(9517,plain,
% 25.69/16.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71)),
% 25.69/16.96 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 25.69/16.96 tff(9518,plain,
% 25.69/16.96 (v114(constB71)),
% 25.69/16.96 inference(unit_resolution,[status(thm)],[9517, 1986, 9514])).
% 25.69/16.96 tff(9519,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9520,plain,
% 25.69/16.96 (((~v114(constB71)) | v113(constB71)) <=> (v113(constB71) | (~v114(constB71)))),
% 25.69/16.96 inference(rewrite,[status(thm)],[])).
% 25.69/16.96 tff(9521,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71))))),
% 25.69/16.96 inference(monotonicity,[status(thm)],[9520])).
% 25.69/16.96 tff(9522,plain,
% 25.69/16.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9521, 9519])).
% 25.69/16.97 tff(9523,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9524,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 25.69/16.97 tff(9525,plain,
% 25.69/16.97 (v113(constB71)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9524, 518, 9518])).
% 25.69/16.97 tff(9526,assumption,(v26(constB71)), introduced(assumption)).
% 25.69/16.97 tff(9527,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9528,plain,
% 25.69/16.97 ($false),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9527, 120, 9526])).
% 25.69/16.97 tff(9529,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 25.69/16.97 tff(9530,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9531,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9532,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 25.69/16.97 tff(9533,plain,
% 25.69/16.97 ((~v113(constB71)) | v112(constB71)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9532, 532, 9529])).
% 25.69/16.97 tff(9534,plain,
% 25.69/16.97 (v112(constB71)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9533, 9525])).
% 25.69/16.97 tff(9535,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9536,plain,
% 25.69/16.97 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9537,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9536])).
% 25.69/16.97 tff(9538,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9537, 9535])).
% 25.69/16.97 tff(9539,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9540,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 25.69/16.97 tff(9541,plain,
% 25.69/16.97 (v108(constB71)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9540, 544, 9534])).
% 25.69/16.97 tff(9542,plain,
% 25.69/16.97 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9543,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 25.69/16.97 tff(9544,plain,
% 25.69/16.97 (nextState(constB71, constB72)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9543, 9542])).
% 25.69/16.97 tff(9545,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9546,plain,
% 25.69/16.97 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9547,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9546])).
% 25.69/16.97 tff(9548,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9547, 9545])).
% 25.69/16.97 tff(9549,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9550,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9549, 9548])).
% 25.69/16.97 tff(9551,plain,
% 25.69/16.97 (v110(constB72) | (~v108(constB71))),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9550, 564, 9544])).
% 25.69/16.97 tff(9552,plain,
% 25.69/16.97 (v110(constB72)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9551, 9541])).
% 25.69/16.97 tff(9553,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9554,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9555,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9554, 9553])).
% 25.69/16.97 tff(9556,plain,
% 25.69/16.97 (~v104(constB72)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9555, 582, 9544, 9421])).
% 25.69/16.97 tff(9557,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9558,plain,
% 25.69/16.97 (((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9559,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9558])).
% 25.69/16.97 tff(9560,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9559, 9557])).
% 25.69/16.97 tff(9561,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9562,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | v102(constB72)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 25.69/16.97 tff(9563,plain,
% 25.69/16.97 (v104(constB72) | v102(constB72)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9562, 596, 9544])).
% 25.69/16.97 tff(9564,plain,
% 25.69/16.97 (v102(constB72)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9563, 9556])).
% 25.69/16.97 tff(9565,plain,
% 25.69/16.97 (v1(constB72) <=> v1(constB72)),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9566,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 25.69/16.97 tff(9567,plain,
% 25.69/16.97 (v1(constB72)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 25.69/16.97 tff(9568,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9569,plain,
% 25.69/16.97 (((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))) <=> ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9570,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9569])).
% 25.69/16.97 tff(9571,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9570, 9568])).
% 25.69/16.97 tff(9572,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9573,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | (~v1(constB72)) | v101(constB72) | (~v102(constB72))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 25.69/16.97 tff(9574,plain,
% 25.69/16.97 (v101(constB72) | (~v102(constB72))),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9573, 617, 9544, 9567])).
% 25.69/16.97 tff(9575,plain,
% 25.69/16.97 (v101(constB72)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9574, 9564])).
% 25.69/16.97 tff(9576,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9577,plain,
% 25.69/16.97 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9578,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9577])).
% 25.69/16.97 tff(9579,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9578, 9576])).
% 25.69/16.97 tff(9580,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9581,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 25.69/16.97 tff(9582,plain,
% 25.69/16.97 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9581, 635, 9544])).
% 25.69/16.97 tff(9583,plain,
% 25.69/16.97 (v100(constB72) | (~v110(constB72))),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9582, 9575])).
% 25.69/16.97 tff(9584,plain,
% 25.69/16.97 (v100(constB72)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9583, 9552])).
% 25.69/16.97 tff(9585,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9586,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9587,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9586, 9585])).
% 25.69/16.97 tff(9588,plain,
% 25.69/16.97 (v130(constB71, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9587, 2066, 9514])).
% 25.69/16.97 tff(9589,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9590,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9591,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9590, 9589])).
% 25.69/16.97 tff(9592,plain,
% 25.69/16.97 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9591, 1560, 9529])).
% 25.69/16.97 tff(9593,plain,
% 25.69/16.97 (v127(constB71, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9592, 9588])).
% 25.69/16.97 tff(9594,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9595,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9596,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 25.69/16.97 tff(9597,plain,
% 25.69/16.97 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9596, 1575, 9544])).
% 25.69/16.97 tff(9598,plain,
% 25.69/16.97 (v129(constB72, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9597, 9593])).
% 25.69/16.97 tff(9599,plain,
% 25.69/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9600,plain,
% 25.69/16.97 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9601,plain,
% 25.69/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9600])).
% 25.69/16.97 tff(9602,plain,
% 25.69/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9601, 9599])).
% 25.69/16.97 tff(9603,plain,
% 25.69/16.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9604,plain,
% 25.69/16.97 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 25.69/16.97 tff(9605,plain,
% 25.69/16.97 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9604, 1590, 9598])).
% 25.69/16.97 tff(9606,plain,
% 25.69/16.97 (v90(constB72, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9605, 9584])).
% 25.69/16.97 tff(9607,plain,
% 25.69/16.97 ((~v1(constB73)) <=> (~v1(constB73))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9608,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 25.69/16.97 tff(9609,plain,
% 25.69/16.97 (~v1(constB73)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9608, 9607])).
% 25.69/16.97 tff(9610,plain,
% 25.69/16.97 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9611,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 25.69/16.97 tff(9612,plain,
% 25.69/16.97 (nextState(constB72, constB73)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 25.69/16.97 tff(9613,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9614,plain,
% 25.69/16.97 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9615,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9614])).
% 25.69/16.97 tff(9616,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9615, 9613])).
% 25.69/16.97 tff(9617,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9618,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9617, 9616])).
% 25.69/16.97 tff(9619,plain,
% 25.69/16.97 (~v101(constB73)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9618, 342, 9612, 9609])).
% 25.69/16.97 tff(9620,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9621,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9622,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9621, 9620])).
% 25.69/16.97 tff(9623,plain,
% 25.69/16.97 (v101(constB73) | (~v100(constB73))),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9622, 359, 9612])).
% 25.69/16.97 tff(9624,plain,
% 25.69/16.97 (~v100(constB73)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9623, 9619])).
% 25.69/16.97 tff(9625,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9626,plain,
% 25.69/16.97 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9627,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9626])).
% 25.69/16.97 tff(9628,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 25.69/16.97 inference(transitivity,[status(thm)],[9627, 9625])).
% 25.69/16.97 tff(9629,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9630,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 25.69/16.97 tff(9631,plain,
% 25.69/16.97 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9630, 1626, 9612])).
% 25.69/16.97 tff(9632,plain,
% 25.69/16.97 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9631, 9624])).
% 25.69/16.97 tff(9633,plain,
% 25.69/16.97 (v90(constB73, bitIndex2)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9632, 9606])).
% 25.69/16.97 tff(9634,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9635,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9636,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 25.69/16.97 tff(9637,plain,
% 25.69/16.97 (v130(constB71, bitIndex1)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9636, 2122, 9514])).
% 25.69/16.97 tff(9638,plain,
% 25.69/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9639,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9640,plain,
% 25.69/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 25.69/16.97 tff(9641,plain,
% 25.69/16.97 ((~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9640, 1075, 9529])).
% 25.69/16.97 tff(9642,plain,
% 25.69/16.97 (v127(constB71, bitIndex1)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9641, 9637])).
% 25.69/16.97 tff(9643,plain,
% 25.69/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9644,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 25.69/16.97 inference(quant_inst,[status(thm)],[])).
% 25.69/16.97 tff(9645,plain,
% 25.69/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 25.69/16.97 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 25.69/16.97 tff(9646,plain,
% 25.69/16.97 ((~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9645, 1090, 9544])).
% 25.69/16.97 tff(9647,plain,
% 25.69/16.97 (v129(constB72, bitIndex1)),
% 25.69/16.97 inference(unit_resolution,[status(thm)],[9646, 9642])).
% 25.69/16.97 tff(9648,plain,
% 25.69/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9649,plain,
% 25.69/16.97 ((v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 25.69/16.97 inference(rewrite,[status(thm)],[])).
% 25.69/16.97 tff(9650,plain,
% 25.69/16.97 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))))),
% 25.69/16.97 inference(monotonicity,[status(thm)],[9649])).
% 25.69/16.98 tff(9651,plain,
% 25.69/16.98 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9650, 9648])).
% 25.69/16.98 tff(9652,plain,
% 25.69/16.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9653,plain,
% 25.69/16.98 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 25.69/16.98 tff(9654,plain,
% 25.69/16.98 (v90(constB72, bitIndex1) | (~v100(constB72))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9653, 1105, 9647])).
% 25.69/16.98 tff(9655,plain,
% 25.69/16.98 (v90(constB72, bitIndex1)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9654, 9584])).
% 25.69/16.98 tff(9656,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9657,plain,
% 25.69/16.98 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9658,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9657])).
% 25.69/16.98 tff(9659,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9658, 9656])).
% 25.69/16.98 tff(9660,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9661,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 25.69/16.98 tff(9662,plain,
% 25.69/16.98 ((~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9661, 1123, 9612])).
% 25.69/16.98 tff(9663,plain,
% 25.69/16.98 ((~v90(constB72, bitIndex1)) | v90(constB73, bitIndex1)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9662, 9624])).
% 25.69/16.98 tff(9664,plain,
% 25.69/16.98 (v90(constB73, bitIndex1)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9663, 9655])).
% 25.69/16.98 tff(9665,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9666,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9667,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 25.69/16.98 tff(9668,plain,
% 25.69/16.98 (~v130(constB71, bitIndex0)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9667, 2160, 9514])).
% 25.69/16.98 tff(9669,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9670,plain,
% 25.69/16.98 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9671,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9670])).
% 25.69/16.98 tff(9672,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9671, 9669])).
% 25.69/16.98 tff(9673,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9674,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 25.69/16.98 tff(9675,plain,
% 25.69/16.98 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9674, 1153, 9529])).
% 25.69/16.98 tff(9676,plain,
% 25.69/16.98 (~v127(constB71, bitIndex0)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9675, 9668])).
% 25.69/16.98 tff(9677,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9678,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9679,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 25.69/16.98 tff(9680,plain,
% 25.69/16.98 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9679, 1171, 9544])).
% 25.69/16.98 tff(9681,plain,
% 25.69/16.98 (~v129(constB72, bitIndex0)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9680, 9676])).
% 25.69/16.98 tff(9682,plain,
% 25.69/16.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9683,plain,
% 25.69/16.98 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9684,plain,
% 25.69/16.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9683])).
% 25.69/16.98 tff(9685,plain,
% 25.69/16.98 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9684, 9682])).
% 25.69/16.98 tff(9686,plain,
% 25.69/16.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9687,plain,
% 25.69/16.98 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 25.69/16.98 tff(9688,plain,
% 25.69/16.98 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9687, 1186, 9681])).
% 25.69/16.98 tff(9689,plain,
% 25.69/16.98 (~v90(constB72, bitIndex0)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9688, 9584])).
% 25.69/16.98 tff(9690,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9691,plain,
% 25.69/16.98 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9692,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9691])).
% 25.69/16.98 tff(9693,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9692, 9690])).
% 25.69/16.98 tff(9694,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9695,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 25.69/16.98 tff(9696,plain,
% 25.69/16.98 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9695, 416, 9612])).
% 25.69/16.98 tff(9697,plain,
% 25.69/16.98 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9696, 9624])).
% 25.69/16.98 tff(9698,plain,
% 25.69/16.98 (~v90(constB73, bitIndex0)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9697, 9689])).
% 25.69/16.98 tff(9699,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9700,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9701,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73)),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 25.69/16.98 tff(9702,plain,
% 25.69/16.98 (v125(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9701, 2204, 9698, 9664, 9633])).
% 25.69/16.98 tff(9703,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9704,plain,
% 25.69/16.98 (((~v125(constB73)) | v113(constB73)) <=> (v113(constB73) | (~v125(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9705,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9704])).
% 25.69/16.98 tff(9706,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9705, 9703])).
% 25.69/16.98 tff(9707,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9708,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 25.69/16.98 tff(9709,plain,
% 25.69/16.98 (v113(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9708, 2215, 9702])).
% 25.69/16.98 tff(9710,assumption,(v26(constB73)), introduced(assumption)).
% 25.69/16.98 tff(9711,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9712,plain,
% 25.69/16.98 ($false),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9711, 120, 9710])).
% 25.69/16.98 tff(9713,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 25.69/16.98 tff(9714,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9715,plain,
% 25.69/16.98 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9716,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9715])).
% 25.69/16.98 tff(9717,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9716, 9714])).
% 25.69/16.98 tff(9718,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9719,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 25.69/16.98 tff(9720,plain,
% 25.69/16.98 (v112(constB73) | (~v113(constB73))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9719, 532, 9713])).
% 25.69/16.98 tff(9721,plain,
% 25.69/16.98 (v112(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9720, 9709])).
% 25.69/16.98 tff(9722,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9723,plain,
% 25.69/16.98 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9724,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9723])).
% 25.69/16.98 tff(9725,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9724, 9722])).
% 25.69/16.98 tff(9726,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9727,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9726, 9725])).
% 25.69/16.98 tff(9728,plain,
% 25.69/16.98 (v108(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9727, 544, 9721])).
% 25.69/16.98 tff(9729,plain,
% 25.69/16.98 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9730,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 25.69/16.98 tff(9731,plain,
% 25.69/16.98 (nextState(constB73, constB74)),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9730, 9729])).
% 25.69/16.98 tff(9732,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9733,plain,
% 25.69/16.98 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9734,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9733])).
% 25.69/16.98 tff(9735,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9734, 9732])).
% 25.69/16.98 tff(9736,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9737,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9736, 9735])).
% 25.69/16.98 tff(9738,plain,
% 25.69/16.98 (v110(constB74) | (~v108(constB73))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9737, 564, 9731])).
% 25.69/16.98 tff(9739,plain,
% 25.69/16.98 (v110(constB74)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9738, 9728])).
% 25.69/16.98 tff(9740,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9741,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9742,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 25.69/16.98 tff(9743,plain,
% 25.69/16.98 (~v104(constB74)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9742, 582, 9731, 9609])).
% 25.69/16.98 tff(9744,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9745,plain,
% 25.69/16.98 (((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9746,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9745])).
% 25.69/16.98 tff(9747,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9746, 9744])).
% 25.69/16.98 tff(9748,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9749,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | v102(constB74)),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9748, 9747])).
% 25.69/16.98 tff(9750,plain,
% 25.69/16.98 (v104(constB74) | v102(constB74)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9749, 596, 9731])).
% 25.69/16.98 tff(9751,plain,
% 25.69/16.98 (v102(constB74)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9750, 9743])).
% 25.69/16.98 tff(9752,plain,
% 25.69/16.98 (v1(constB74) <=> v1(constB74)),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9753,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 25.69/16.98 tff(9754,plain,
% 25.69/16.98 (v1(constB74)),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 25.69/16.98 tff(9755,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9756,plain,
% 25.69/16.98 (((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))) <=> ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9757,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9756])).
% 25.69/16.98 tff(9758,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9757, 9755])).
% 25.69/16.98 tff(9759,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9760,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | (~v1(constB74)) | v101(constB74) | (~v102(constB74))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 25.69/16.98 tff(9761,plain,
% 25.69/16.98 (v101(constB74) | (~v102(constB74))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9760, 617, 9731, 9754])).
% 25.69/16.98 tff(9762,plain,
% 25.69/16.98 (v101(constB74)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9761, 9751])).
% 25.69/16.98 tff(9763,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9764,plain,
% 25.69/16.98 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9765,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 25.69/16.98 inference(monotonicity,[status(thm)],[9764])).
% 25.69/16.98 tff(9766,plain,
% 25.69/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 25.69/16.98 inference(transitivity,[status(thm)],[9765, 9763])).
% 25.69/16.98 tff(9767,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9768,plain,
% 25.69/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 25.69/16.98 tff(9769,plain,
% 25.69/16.98 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9768, 635, 9731])).
% 25.69/16.98 tff(9770,plain,
% 25.69/16.98 (v100(constB74) | (~v110(constB74))),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9769, 9762])).
% 25.69/16.98 tff(9771,plain,
% 25.69/16.98 (v100(constB74)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9770, 9739])).
% 25.69/16.98 tff(9772,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB73)) | (~v90(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB73)) | (~v90(constB73, bitIndex2)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9773,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB73)) | (~v90(constB73, bitIndex2)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9774,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB73)) | (~v90(constB73, bitIndex2))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 25.69/16.98 tff(9775,plain,
% 25.69/16.98 (~v121(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9774, 2287, 9633])).
% 25.69/16.98 tff(9776,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB73)) | (~v90(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB73)) | (~v90(constB73, bitIndex2)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9777,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB73)) | (~v90(constB73, bitIndex2)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9778,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB73)) | (~v90(constB73, bitIndex2))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9777, 9776])).
% 25.69/16.98 tff(9779,plain,
% 25.69/16.98 (~v122(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9778, 2298, 9633])).
% 25.69/16.98 tff(9780,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9781,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9782,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB73)) | (~v90(constB73, bitIndex1))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 25.69/16.98 tff(9783,plain,
% 25.69/16.98 (~v123(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9782, 2331, 9664])).
% 25.69/16.98 tff(9784,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9785,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9786,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB73)) | (~v90(constB73, bitIndex1))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9785, 9784])).
% 25.69/16.98 tff(9787,plain,
% 25.69/16.98 (~v124(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9786, 2342, 9664])).
% 25.69/16.98 tff(9788,plain,
% 25.69/16.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(rewrite,[status(thm)],[])).
% 25.69/16.98 tff(9789,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.98 inference(quant_inst,[status(thm)],[])).
% 25.69/16.98 tff(9790,plain,
% 25.69/16.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1))),
% 25.69/16.98 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 25.69/16.98 tff(9791,plain,
% 25.69/16.98 (~v119(constB73)),
% 25.69/16.98 inference(unit_resolution,[status(thm)],[9790, 2309, 9664])).
% 25.69/16.99 tff(9792,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9793,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB73)) | (~v90(constB73, bitIndex1)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9794,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB73)) | (~v90(constB73, bitIndex1))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9793, 9792])).
% 25.69/16.99 tff(9795,plain,
% 25.69/16.99 (~v120(constB73)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9794, 2320, 9664])).
% 25.69/16.99 tff(9796,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9797,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9798,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 25.69/16.99 tff(9799,plain,
% 25.69/16.99 (~v130(constB73, bitIndex2)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9798, 2356, 9795, 9791, 9787, 9783, 9779, 9775])).
% 25.69/16.99 tff(9800,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9801,plain,
% 25.69/16.99 ((v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2))) <=> ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9802,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9801])).
% 25.69/16.99 tff(9803,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9802, 9800])).
% 25.69/16.99 tff(9804,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9805,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 25.69/16.99 tff(9806,plain,
% 25.69/16.99 ((~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9805, 665, 9713])).
% 25.69/16.99 tff(9807,plain,
% 25.69/16.99 (~v127(constB73, bitIndex2)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9806, 9799])).
% 25.69/16.99 tff(9808,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9809,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9810,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9809, 9808])).
% 25.69/16.99 tff(9811,plain,
% 25.69/16.99 (v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9810, 683, 9731])).
% 25.69/16.99 tff(9812,plain,
% 25.69/16.99 (~v129(constB74, bitIndex2)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9811, 9807])).
% 25.69/16.99 tff(9813,plain,
% 25.69/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9814,plain,
% 25.69/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9815,plain,
% 25.69/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 25.69/16.99 tff(9816,plain,
% 25.69/16.99 ((~v90(constB74, bitIndex2)) | (~v100(constB74))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9815, 698, 9812])).
% 25.69/16.99 tff(9817,plain,
% 25.69/16.99 (~v90(constB74, bitIndex2)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9816, 9771])).
% 25.69/16.99 tff(9818,plain,
% 25.69/16.99 ((~v1(constB75)) <=> (~v1(constB75))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9819,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 25.69/16.99 tff(9820,plain,
% 25.69/16.99 (~v1(constB75)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9819, 9818])).
% 25.69/16.99 tff(9821,plain,
% 25.69/16.99 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9822,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 25.69/16.99 tff(9823,plain,
% 25.69/16.99 (nextState(constB74, constB75)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 25.69/16.99 tff(9824,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9825,plain,
% 25.69/16.99 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9826,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9825])).
% 25.69/16.99 tff(9827,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9826, 9824])).
% 25.69/16.99 tff(9828,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9829,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9828, 9827])).
% 25.69/16.99 tff(9830,plain,
% 25.69/16.99 (~v101(constB75)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9829, 342, 9823, 9820])).
% 25.69/16.99 tff(9831,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9832,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9833,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 25.69/16.99 tff(9834,plain,
% 25.69/16.99 (v101(constB75) | (~v100(constB75))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9833, 359, 9823])).
% 25.69/16.99 tff(9835,plain,
% 25.69/16.99 (~v100(constB75)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9834, 9830])).
% 25.69/16.99 tff(9836,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9837,plain,
% 25.69/16.99 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9838,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9837])).
% 25.69/16.99 tff(9839,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9838, 9836])).
% 25.69/16.99 tff(9840,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9841,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 25.69/16.99 tff(9842,plain,
% 25.69/16.99 (v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9841, 374, 9823])).
% 25.69/16.99 tff(9843,plain,
% 25.69/16.99 (v90(constB74, bitIndex2) | (~v90(constB75, bitIndex2))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9842, 9835])).
% 25.69/16.99 tff(9844,plain,
% 25.69/16.99 (~v90(constB75, bitIndex2)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9843, 9817])).
% 25.69/16.99 tff(9845,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9846,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9847,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9846, 9845])).
% 25.69/16.99 tff(9848,plain,
% 25.69/16.99 (~v130(constB73, bitIndex1)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9847, 2415, 9795, 9791, 9787, 9783, 9779, 9775])).
% 25.69/16.99 tff(9849,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9850,plain,
% 25.69/16.99 ((v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1))) <=> ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9851,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9850])).
% 25.69/16.99 tff(9852,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9851, 9849])).
% 25.69/16.99 tff(9853,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9854,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 25.69/16.99 tff(9855,plain,
% 25.69/16.99 ((~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9854, 751, 9713])).
% 25.69/16.99 tff(9856,plain,
% 25.69/16.99 (~v127(constB73, bitIndex1)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9855, 9848])).
% 25.69/16.99 tff(9857,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9858,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9859,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9858, 9857])).
% 25.69/16.99 tff(9860,plain,
% 25.69/16.99 (v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9859, 769, 9731])).
% 25.69/16.99 tff(9861,plain,
% 25.69/16.99 (~v129(constB74, bitIndex1)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9860, 9856])).
% 25.69/16.99 tff(9862,plain,
% 25.69/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9863,plain,
% 25.69/16.99 (((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9864,plain,
% 25.69/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9863])).
% 25.69/16.99 tff(9865,plain,
% 25.69/16.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9864, 9862])).
% 25.69/16.99 tff(9866,plain,
% 25.69/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9867,plain,
% 25.69/16.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 25.69/16.99 tff(9868,plain,
% 25.69/16.99 ((~v90(constB74, bitIndex1)) | (~v100(constB74))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9867, 784, 9861])).
% 25.69/16.99 tff(9869,plain,
% 25.69/16.99 (~v90(constB74, bitIndex1)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9868, 9771])).
% 25.69/16.99 tff(9870,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9871,plain,
% 25.69/16.99 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9872,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9871])).
% 25.69/16.99 tff(9873,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9872, 9870])).
% 25.69/16.99 tff(9874,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9875,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 25.69/16.99 tff(9876,plain,
% 25.69/16.99 (v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9875, 395, 9823])).
% 25.69/16.99 tff(9877,plain,
% 25.69/16.99 (v90(constB74, bitIndex1) | (~v90(constB75, bitIndex1))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9876, 9835])).
% 25.69/16.99 tff(9878,plain,
% 25.69/16.99 (~v90(constB75, bitIndex1)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9877, 9869])).
% 25.69/16.99 tff(9879,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9880,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9881,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 25.69/16.99 tff(9882,plain,
% 25.69/16.99 (v130(constB73, bitIndex0)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9881, 2459, 9795, 9791, 9787, 9783, 9779, 9775])).
% 25.69/16.99 tff(9883,plain,
% 25.69/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9884,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9885,plain,
% 25.69/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9884, 9883])).
% 25.69/16.99 tff(9886,plain,
% 25.69/16.99 ((~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9885, 822, 9713])).
% 25.69/16.99 tff(9887,plain,
% 25.69/16.99 (v127(constB73, bitIndex0)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9886, 9882])).
% 25.69/16.99 tff(9888,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9889,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9890,plain,
% 25.69/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 25.69/16.99 tff(9891,plain,
% 25.69/16.99 ((~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9890, 837, 9731])).
% 25.69/16.99 tff(9892,plain,
% 25.69/16.99 (v129(constB74, bitIndex0)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9891, 9887])).
% 25.69/16.99 tff(9893,plain,
% 25.69/16.99 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9894,plain,
% 25.69/16.99 ((v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9895,plain,
% 25.69/16.99 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))))),
% 25.69/16.99 inference(monotonicity,[status(thm)],[9894])).
% 25.69/16.99 tff(9896,plain,
% 25.69/16.99 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 25.69/16.99 inference(transitivity,[status(thm)],[9895, 9893])).
% 25.69/16.99 tff(9897,plain,
% 25.69/16.99 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))),
% 25.69/16.99 inference(quant_inst,[status(thm)],[])).
% 25.69/16.99 tff(9898,plain,
% 25.69/16.99 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))),
% 25.69/16.99 inference(modus_ponens,[status(thm)],[9897, 9896])).
% 25.69/16.99 tff(9899,plain,
% 25.69/16.99 (v90(constB74, bitIndex0) | (~v100(constB74))),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9898, 852, 9892])).
% 25.69/16.99 tff(9900,plain,
% 25.69/16.99 (v90(constB74, bitIndex0)),
% 25.69/16.99 inference(unit_resolution,[status(thm)],[9899, 9771])).
% 25.69/16.99 tff(9901,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9902,plain,
% 25.69/16.99 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 25.69/16.99 inference(rewrite,[status(thm)],[])).
% 25.69/16.99 tff(9903,plain,
% 25.69/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9902])).
% 25.69/17.00 tff(9904,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9903, 9901])).
% 25.69/17.00 tff(9905,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9906,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9905, 9904])).
% 25.69/17.00 tff(9907,plain,
% 25.69/17.00 ((~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9906, 870, 9823])).
% 25.69/17.00 tff(9908,plain,
% 25.69/17.00 ((~v90(constB74, bitIndex0)) | v90(constB75, bitIndex0)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9907, 9835])).
% 25.69/17.00 tff(9909,plain,
% 25.69/17.00 (v90(constB75, bitIndex0)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9908, 9900])).
% 25.69/17.00 tff(9910,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9911,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9912,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9911, 9910])).
% 25.69/17.00 tff(9913,plain,
% 25.69/17.00 (v120(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9912, 889, 9909, 9878, 9844])).
% 25.69/17.00 tff(9914,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9915,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9916,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 25.69/17.00 tff(9917,plain,
% 25.69/17.00 (v118(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9916, 900, 9913])).
% 25.69/17.00 tff(9918,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9919,plain,
% 25.69/17.00 (((~v118(constB75)) | v117(constB75)) <=> (v117(constB75) | (~v118(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9920,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9919])).
% 25.69/17.00 tff(9921,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9920, 9918])).
% 25.69/17.00 tff(9922,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9923,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 25.69/17.00 tff(9924,plain,
% 25.69/17.00 (v117(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9923, 462, 9917])).
% 25.69/17.00 tff(9925,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9926,plain,
% 25.69/17.00 (((~v117(constB75)) | v116(constB75)) <=> (v116(constB75) | (~v117(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9927,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9926])).
% 25.69/17.00 tff(9928,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9927, 9925])).
% 25.69/17.00 tff(9929,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9930,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9929, 9928])).
% 25.69/17.00 tff(9931,plain,
% 25.69/17.00 (v116(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9930, 476, 9924])).
% 25.69/17.00 tff(9932,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9933,plain,
% 25.69/17.00 (((~v116(constB75)) | v115(constB75)) <=> (v115(constB75) | (~v116(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9934,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9933])).
% 25.69/17.00 tff(9935,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9934, 9932])).
% 25.69/17.00 tff(9936,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9937,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9936, 9935])).
% 25.69/17.00 tff(9938,plain,
% 25.69/17.00 (v115(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9937, 490, 9931])).
% 25.69/17.00 tff(9939,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9940,plain,
% 25.69/17.00 (((~v115(constB75)) | v114(constB75)) <=> (v114(constB75) | (~v115(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9941,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9940])).
% 25.69/17.00 tff(9942,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9941, 9939])).
% 25.69/17.00 tff(9943,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9944,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 25.69/17.00 tff(9945,plain,
% 25.69/17.00 (v114(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9944, 504, 9938])).
% 25.69/17.00 tff(9946,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9947,plain,
% 25.69/17.00 (((~v114(constB75)) | v113(constB75)) <=> (v113(constB75) | (~v114(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9948,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9947])).
% 25.69/17.00 tff(9949,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9948, 9946])).
% 25.69/17.00 tff(9950,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9951,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 25.69/17.00 tff(9952,plain,
% 25.69/17.00 (v113(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9951, 518, 9945])).
% 25.69/17.00 tff(9953,assumption,(v26(constB75)), introduced(assumption)).
% 25.69/17.00 tff(9954,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9955,plain,
% 25.69/17.00 ($false),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9954, 120, 9953])).
% 25.69/17.00 tff(9956,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 25.69/17.00 tff(9957,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9958,plain,
% 25.69/17.00 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9959,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9958])).
% 25.69/17.00 tff(9960,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9959, 9957])).
% 25.69/17.00 tff(9961,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9962,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 25.69/17.00 tff(9963,plain,
% 25.69/17.00 (v112(constB75) | (~v113(constB75))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9962, 532, 9956])).
% 25.69/17.00 tff(9964,plain,
% 25.69/17.00 (v112(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9963, 9952])).
% 25.69/17.00 tff(9965,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9966,plain,
% 25.69/17.00 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9967,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9966])).
% 25.69/17.00 tff(9968,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9967, 9965])).
% 25.69/17.00 tff(9969,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9970,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 25.69/17.00 tff(9971,plain,
% 25.69/17.00 (v108(constB75)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9970, 544, 9964])).
% 25.69/17.00 tff(9972,plain,
% 25.69/17.00 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9973,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 25.69/17.00 tff(9974,plain,
% 25.69/17.00 (nextState(constB75, constB76)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 25.69/17.00 tff(9975,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9976,plain,
% 25.69/17.00 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9977,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9976])).
% 25.69/17.00 tff(9978,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9977, 9975])).
% 25.69/17.00 tff(9979,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9980,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 25.69/17.00 tff(9981,plain,
% 25.69/17.00 (v110(constB76) | (~v108(constB75))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9980, 564, 9974])).
% 25.69/17.00 tff(9982,plain,
% 25.69/17.00 (v110(constB76)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9981, 9971])).
% 25.69/17.00 tff(9983,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9984,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9985,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 25.69/17.00 tff(9986,plain,
% 25.69/17.00 (~v104(constB76)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9985, 582, 9974, 9820])).
% 25.69/17.00 tff(9987,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9988,plain,
% 25.69/17.00 (((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9989,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9988])).
% 25.69/17.00 tff(9990,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76))),
% 25.69/17.00 inference(transitivity,[status(thm)],[9989, 9987])).
% 25.69/17.00 tff(9991,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(9992,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | v102(constB76)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9991, 9990])).
% 25.69/17.00 tff(9993,plain,
% 25.69/17.00 (v104(constB76) | v102(constB76)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9992, 596, 9974])).
% 25.69/17.00 tff(9994,plain,
% 25.69/17.00 (v102(constB76)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[9993, 9986])).
% 25.69/17.00 tff(9995,plain,
% 25.69/17.00 (v1(constB76) <=> v1(constB76)),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9996,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 25.69/17.00 tff(9997,plain,
% 25.69/17.00 (v1(constB76)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[9996, 9995])).
% 25.69/17.00 tff(9998,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(9999,plain,
% 25.69/17.00 (((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))) <=> ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10000,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[9999])).
% 25.69/17.00 tff(10001,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[10000, 9998])).
% 25.69/17.00 tff(10002,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10003,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | (~v1(constB76)) | v101(constB76) | (~v102(constB76))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 25.69/17.00 tff(10004,plain,
% 25.69/17.00 (v101(constB76) | (~v102(constB76))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10003, 617, 9974, 9997])).
% 25.69/17.00 tff(10005,plain,
% 25.69/17.00 (v101(constB76)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10004, 9994])).
% 25.69/17.00 tff(10006,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10007,plain,
% 25.69/17.00 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10008,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[10007])).
% 25.69/17.00 tff(10009,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[10008, 10006])).
% 25.69/17.00 tff(10010,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10011,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 25.69/17.00 tff(10012,plain,
% 25.69/17.00 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10011, 635, 9974])).
% 25.69/17.00 tff(10013,plain,
% 25.69/17.00 (v100(constB76) | (~v110(constB76))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10012, 10005])).
% 25.69/17.00 tff(10014,plain,
% 25.69/17.00 (v100(constB76)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10013, 9982])).
% 25.69/17.00 tff(10015,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10016,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10017,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10016, 10015])).
% 25.69/17.00 tff(10018,plain,
% 25.69/17.00 (~v130(constB75, bitIndex2)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10017, 1005, 9913])).
% 25.69/17.00 tff(10019,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10020,plain,
% 25.69/17.00 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10021,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[10020])).
% 25.69/17.00 tff(10022,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 25.69/17.00 inference(transitivity,[status(thm)],[10021, 10019])).
% 25.69/17.00 tff(10023,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10024,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 25.69/17.00 tff(10025,plain,
% 25.69/17.00 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10024, 665, 9956])).
% 25.69/17.00 tff(10026,plain,
% 25.69/17.00 (~v127(constB75, bitIndex2)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10025, 10018])).
% 25.69/17.00 tff(10027,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10028,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10029,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10028, 10027])).
% 25.69/17.00 tff(10030,plain,
% 25.69/17.00 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10029, 683, 9974])).
% 25.69/17.00 tff(10031,plain,
% 25.69/17.00 (~v129(constB76, bitIndex2)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10030, 10026])).
% 25.69/17.00 tff(10032,plain,
% 25.69/17.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10033,plain,
% 25.69/17.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10034,plain,
% 25.69/17.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10033, 10032])).
% 25.69/17.00 tff(10035,plain,
% 25.69/17.00 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10034, 698, 10031])).
% 25.69/17.00 tff(10036,plain,
% 25.69/17.00 (~v90(constB76, bitIndex2)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10035, 10014])).
% 25.69/17.00 tff(10037,plain,
% 25.69/17.00 ((~v1(constB77)) <=> (~v1(constB77))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10038,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 25.69/17.00 tff(10039,plain,
% 25.69/17.00 (~v1(constB77)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 25.69/17.00 tff(10040,plain,
% 25.69/17.00 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10041,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 25.69/17.00 tff(10042,plain,
% 25.69/17.00 (nextState(constB76, constB77)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 25.69/17.00 tff(10043,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10044,plain,
% 25.69/17.00 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10045,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[10044])).
% 25.69/17.00 tff(10046,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[10045, 10043])).
% 25.69/17.00 tff(10047,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10048,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 25.69/17.00 tff(10049,plain,
% 25.69/17.00 (~v101(constB77)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10048, 342, 10042, 10039])).
% 25.69/17.00 tff(10050,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10051,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10052,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10051, 10050])).
% 25.69/17.00 tff(10053,plain,
% 25.69/17.00 (v101(constB77) | (~v100(constB77))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10052, 359, 10042])).
% 25.69/17.00 tff(10054,plain,
% 25.69/17.00 (~v100(constB77)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10053, 10049])).
% 25.69/17.00 tff(10055,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10056,plain,
% 25.69/17.00 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10057,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 25.69/17.00 inference(monotonicity,[status(thm)],[10056])).
% 25.69/17.00 tff(10058,plain,
% 25.69/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 25.69/17.00 inference(transitivity,[status(thm)],[10057, 10055])).
% 25.69/17.00 tff(10059,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10060,plain,
% 25.69/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10059, 10058])).
% 25.69/17.00 tff(10061,plain,
% 25.69/17.00 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10060, 374, 10042])).
% 25.69/17.00 tff(10062,plain,
% 25.69/17.00 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10061, 10054])).
% 25.69/17.00 tff(10063,plain,
% 25.69/17.00 (~v90(constB77, bitIndex2)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10062, 10036])).
% 25.69/17.00 tff(10064,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1))),
% 25.69/17.00 inference(rewrite,[status(thm)],[])).
% 25.69/17.00 tff(10065,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))),
% 25.69/17.00 inference(quant_inst,[status(thm)],[])).
% 25.69/17.00 tff(10066,plain,
% 25.69/17.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1)),
% 25.69/17.00 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 25.69/17.00 tff(10067,plain,
% 25.69/17.00 (v130(constB75, bitIndex1)),
% 25.69/17.00 inference(unit_resolution,[status(thm)],[10066, 1061, 9913])).
% 25.69/17.00 tff(10068,plain,
% 25.69/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10069,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10070,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 25.69/17.01 tff(10071,plain,
% 25.69/17.01 ((~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10070, 1075, 9956])).
% 25.69/17.01 tff(10072,plain,
% 25.69/17.01 (v127(constB75, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10071, 10067])).
% 25.69/17.01 tff(10073,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10074,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10075,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 25.69/17.01 tff(10076,plain,
% 25.69/17.01 ((~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10075, 1090, 9974])).
% 25.69/17.01 tff(10077,plain,
% 25.69/17.01 (v129(constB76, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10076, 10072])).
% 25.69/17.01 tff(10078,plain,
% 25.69/17.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10079,plain,
% 25.69/17.01 ((v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10080,plain,
% 25.69/17.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10079])).
% 25.69/17.01 tff(10081,plain,
% 25.69/17.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10080, 10078])).
% 25.69/17.01 tff(10082,plain,
% 25.69/17.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10083,plain,
% 25.69/17.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10082, 10081])).
% 25.69/17.01 tff(10084,plain,
% 25.69/17.01 (v90(constB76, bitIndex1) | (~v100(constB76))),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10083, 1105, 10077])).
% 25.69/17.01 tff(10085,plain,
% 25.69/17.01 (v90(constB76, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10084, 10014])).
% 25.69/17.01 tff(10086,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10087,plain,
% 25.69/17.01 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10088,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10087])).
% 25.69/17.01 tff(10089,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10088, 10086])).
% 25.69/17.01 tff(10090,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10091,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 25.69/17.01 tff(10092,plain,
% 25.69/17.01 ((~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10091, 1123, 10042])).
% 25.69/17.01 tff(10093,plain,
% 25.69/17.01 ((~v90(constB76, bitIndex1)) | v90(constB77, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10092, 10054])).
% 25.69/17.01 tff(10094,plain,
% 25.69/17.01 (v90(constB77, bitIndex1)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10093, 10085])).
% 25.69/17.01 tff(10095,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10096,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10097,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 25.69/17.01 tff(10098,plain,
% 25.69/17.01 (~v130(constB75, bitIndex0)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10097, 1139, 9913])).
% 25.69/17.01 tff(10099,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10100,plain,
% 25.69/17.01 ((v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0))) <=> ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10101,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10100])).
% 25.69/17.01 tff(10102,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10101, 10099])).
% 25.69/17.01 tff(10103,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10104,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 25.69/17.01 tff(10105,plain,
% 25.69/17.01 ((~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10104, 1153, 9956])).
% 25.69/17.01 tff(10106,plain,
% 25.69/17.01 (~v127(constB75, bitIndex0)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10105, 10098])).
% 25.69/17.01 tff(10107,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10108,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10109,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 25.69/17.01 tff(10110,plain,
% 25.69/17.01 (v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10109, 1171, 9974])).
% 25.69/17.01 tff(10111,plain,
% 25.69/17.01 (~v129(constB76, bitIndex0)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10110, 10106])).
% 25.69/17.01 tff(10112,plain,
% 25.69/17.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10113,plain,
% 25.69/17.01 (((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10114,plain,
% 25.69/17.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10113])).
% 25.69/17.01 tff(10115,plain,
% 25.69/17.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10114, 10112])).
% 25.69/17.01 tff(10116,plain,
% 25.69/17.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10117,plain,
% 25.69/17.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 25.69/17.01 tff(10118,plain,
% 25.69/17.01 ((~v90(constB76, bitIndex0)) | (~v100(constB76))),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10117, 1186, 10111])).
% 25.69/17.01 tff(10119,plain,
% 25.69/17.01 (~v90(constB76, bitIndex0)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10118, 10014])).
% 25.69/17.01 tff(10120,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10121,plain,
% 25.69/17.01 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10122,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10121])).
% 25.69/17.01 tff(10123,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10122, 10120])).
% 25.69/17.01 tff(10124,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10125,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 25.69/17.01 tff(10126,plain,
% 25.69/17.01 (v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10125, 416, 10042])).
% 25.69/17.01 tff(10127,plain,
% 25.69/17.01 (v90(constB76, bitIndex0) | (~v90(constB77, bitIndex0))),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10126, 10054])).
% 25.69/17.01 tff(10128,plain,
% 25.69/17.01 (~v90(constB77, bitIndex0)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10127, 10119])).
% 25.69/17.01 tff(10129,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10130,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10131,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10130, 10129])).
% 25.69/17.01 tff(10132,plain,
% 25.69/17.01 (v121(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10131, 1213, 10128, 10094, 10063])).
% 25.69/17.01 tff(10133,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10134,plain,
% 25.69/17.01 (((~v121(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v121(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10135,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10134])).
% 25.69/17.01 tff(10136,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10135, 10133])).
% 25.69/17.01 tff(10137,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10138,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10137, 10136])).
% 25.69/17.01 tff(10139,plain,
% 25.69/17.01 (v117(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10138, 1224, 10132])).
% 25.69/17.01 tff(10140,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10141,plain,
% 25.69/17.01 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10142,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10141])).
% 25.69/17.01 tff(10143,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10142, 10140])).
% 25.69/17.01 tff(10144,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10145,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 25.69/17.01 tff(10146,plain,
% 25.69/17.01 (v116(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10145, 476, 10139])).
% 25.69/17.01 tff(10147,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10148,plain,
% 25.69/17.01 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10149,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10148])).
% 25.69/17.01 tff(10150,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10149, 10147])).
% 25.69/17.01 tff(10151,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10152,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 25.69/17.01 tff(10153,plain,
% 25.69/17.01 (v115(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10152, 490, 10146])).
% 25.69/17.01 tff(10154,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10155,plain,
% 25.69/17.01 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10156,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10155])).
% 25.69/17.01 tff(10157,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10156, 10154])).
% 25.69/17.01 tff(10158,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10159,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 25.69/17.01 tff(10160,plain,
% 25.69/17.01 (v114(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10159, 504, 10153])).
% 25.69/17.01 tff(10161,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB77)) | v113(constB77))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10162,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10163,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB77)) | v113(constB77)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10162, 10161])).
% 25.69/17.01 tff(10164,plain,
% 25.69/17.01 (v113(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10163, 518, 10160])).
% 25.69/17.01 tff(10165,assumption,(v26(constB77)), introduced(assumption)).
% 25.69/17.01 tff(10166,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10167,plain,
% 25.69/17.01 ($false),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10166, 120, 10165])).
% 25.69/17.01 tff(10168,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 25.69/17.01 tff(10169,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10170,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10171,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 25.69/17.01 tff(10172,plain,
% 25.69/17.01 ((~v113(constB77)) | v112(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10171, 532, 10168])).
% 25.69/17.01 tff(10173,plain,
% 25.69/17.01 (v112(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10172, 10164])).
% 25.69/17.01 tff(10174,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10175,plain,
% 25.69/17.01 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10176,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10175])).
% 25.69/17.01 tff(10177,plain,
% 25.69/17.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10176, 10174])).
% 25.69/17.01 tff(10178,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10179,plain,
% 25.69/17.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 25.69/17.01 tff(10180,plain,
% 25.69/17.01 (v108(constB77)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10179, 544, 10173])).
% 25.69/17.01 tff(10181,plain,
% 25.69/17.01 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10182,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 25.69/17.01 tff(10183,plain,
% 25.69/17.01 (nextState(constB77, constB78)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 25.69/17.01 tff(10184,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10185,plain,
% 25.69/17.01 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10186,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10185])).
% 25.69/17.01 tff(10187,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10186, 10184])).
% 25.69/17.01 tff(10188,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10189,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 25.69/17.01 tff(10190,plain,
% 25.69/17.01 (v110(constB78) | (~v108(constB77))),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10189, 564, 10183])).
% 25.69/17.01 tff(10191,plain,
% 25.69/17.01 (v110(constB78)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10190, 10180])).
% 25.69/17.01 tff(10192,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10193,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10194,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10193, 10192])).
% 25.69/17.01 tff(10195,plain,
% 25.69/17.01 (~v104(constB78)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10194, 582, 10183, 10039])).
% 25.69/17.01 tff(10196,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10197,plain,
% 25.69/17.01 (((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10198,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10197])).
% 25.69/17.01 tff(10199,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78))),
% 25.69/17.01 inference(transitivity,[status(thm)],[10198, 10196])).
% 25.69/17.01 tff(10200,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 25.69/17.01 inference(quant_inst,[status(thm)],[])).
% 25.69/17.01 tff(10201,plain,
% 25.69/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | v102(constB78)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 25.69/17.01 tff(10202,plain,
% 25.69/17.01 (v104(constB78) | v102(constB78)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10201, 596, 10183])).
% 25.69/17.01 tff(10203,plain,
% 25.69/17.01 (v102(constB78)),
% 25.69/17.01 inference(unit_resolution,[status(thm)],[10202, 10195])).
% 25.69/17.01 tff(10204,plain,
% 25.69/17.01 (v1(constB78) <=> v1(constB78)),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10205,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 25.69/17.01 tff(10206,plain,
% 25.69/17.01 (v1(constB78)),
% 25.69/17.01 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 25.69/17.01 tff(10207,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10208,plain,
% 25.69/17.01 (((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))) <=> ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 25.69/17.01 inference(rewrite,[status(thm)],[])).
% 25.69/17.01 tff(10209,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))))),
% 25.69/17.01 inference(monotonicity,[status(thm)],[10208])).
% 25.69/17.01 tff(10210,plain,
% 25.69/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78)))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10209, 10207])).
% 25.69/17.02 tff(10211,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10212,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | (~v1(constB78)) | v101(constB78) | (~v102(constB78))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 25.69/17.02 tff(10213,plain,
% 25.69/17.02 (v101(constB78) | (~v102(constB78))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10212, 617, 10183, 10206])).
% 25.69/17.02 tff(10214,plain,
% 25.69/17.02 (v101(constB78)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10213, 10203])).
% 25.69/17.02 tff(10215,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10216,plain,
% 25.69/17.02 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10217,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10216])).
% 25.69/17.02 tff(10218,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10217, 10215])).
% 25.69/17.02 tff(10219,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10220,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 25.69/17.02 tff(10221,plain,
% 25.69/17.02 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10220, 635, 10183])).
% 25.69/17.02 tff(10222,plain,
% 25.69/17.02 (v100(constB78) | (~v110(constB78))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10221, 10214])).
% 25.69/17.02 tff(10223,plain,
% 25.69/17.02 (v100(constB78)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10222, 10191])).
% 25.69/17.02 tff(10224,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10225,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10226,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10225, 10224])).
% 25.69/17.02 tff(10227,plain,
% 25.69/17.02 (~v130(constB77, bitIndex2)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10226, 1325, 10132])).
% 25.69/17.02 tff(10228,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10229,plain,
% 25.69/17.02 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10230,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10229])).
% 25.69/17.02 tff(10231,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10230, 10228])).
% 25.69/17.02 tff(10232,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10233,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 25.69/17.02 tff(10234,plain,
% 25.69/17.02 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10233, 665, 10168])).
% 25.69/17.02 tff(10235,plain,
% 25.69/17.02 (~v127(constB77, bitIndex2)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10234, 10227])).
% 25.69/17.02 tff(10236,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10237,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10238,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 25.69/17.02 tff(10239,plain,
% 25.69/17.02 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10238, 683, 10183])).
% 25.69/17.02 tff(10240,plain,
% 25.69/17.02 (~v129(constB78, bitIndex2)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10239, 10235])).
% 25.69/17.02 tff(10241,plain,
% 25.69/17.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10242,plain,
% 25.69/17.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10243,plain,
% 25.69/17.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 25.69/17.02 tff(10244,plain,
% 25.69/17.02 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10243, 698, 10240])).
% 25.69/17.02 tff(10245,plain,
% 25.69/17.02 (~v90(constB78, bitIndex2)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10244, 10223])).
% 25.69/17.02 tff(10246,plain,
% 25.69/17.02 ((~v1(constB79)) <=> (~v1(constB79))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10247,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 25.69/17.02 tff(10248,plain,
% 25.69/17.02 (~v1(constB79)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10247, 10246])).
% 25.69/17.02 tff(10249,plain,
% 25.69/17.02 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10250,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 25.69/17.02 tff(10251,plain,
% 25.69/17.02 (nextState(constB78, constB79)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 25.69/17.02 tff(10252,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10253,plain,
% 25.69/17.02 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10254,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10253])).
% 25.69/17.02 tff(10255,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10254, 10252])).
% 25.69/17.02 tff(10256,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10257,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 25.69/17.02 tff(10258,plain,
% 25.69/17.02 (~v101(constB79)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10257, 342, 10251, 10248])).
% 25.69/17.02 tff(10259,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10260,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10261,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10260, 10259])).
% 25.69/17.02 tff(10262,plain,
% 25.69/17.02 (v101(constB79) | (~v100(constB79))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10261, 359, 10251])).
% 25.69/17.02 tff(10263,plain,
% 25.69/17.02 (~v100(constB79)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10262, 10258])).
% 25.69/17.02 tff(10264,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10265,plain,
% 25.69/17.02 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10266,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10265])).
% 25.69/17.02 tff(10267,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10266, 10264])).
% 25.69/17.02 tff(10268,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10269,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10268, 10267])).
% 25.69/17.02 tff(10270,plain,
% 25.69/17.02 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10269, 374, 10251])).
% 25.69/17.02 tff(10271,plain,
% 25.69/17.02 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10270, 10263])).
% 25.69/17.02 tff(10272,plain,
% 25.69/17.02 (~v90(constB79, bitIndex2)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10271, 10245])).
% 25.69/17.02 tff(10273,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10274,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10275,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 25.69/17.02 tff(10276,plain,
% 25.69/17.02 (v130(constB77, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10275, 1375, 10132])).
% 25.69/17.02 tff(10277,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10278,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10279,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 25.69/17.02 tff(10280,plain,
% 25.69/17.02 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10279, 1075, 10168])).
% 25.69/17.02 tff(10281,plain,
% 25.69/17.02 (v127(constB77, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10280, 10276])).
% 25.69/17.02 tff(10282,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10283,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10284,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 25.69/17.02 tff(10285,plain,
% 25.69/17.02 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10284, 1090, 10183])).
% 25.69/17.02 tff(10286,plain,
% 25.69/17.02 (v129(constB78, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10285, 10281])).
% 25.69/17.02 tff(10287,plain,
% 25.69/17.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10288,plain,
% 25.69/17.02 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10289,plain,
% 25.69/17.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10288])).
% 25.69/17.02 tff(10290,plain,
% 25.69/17.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10289, 10287])).
% 25.69/17.02 tff(10291,plain,
% 25.69/17.02 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10292,plain,
% 25.69/17.02 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 25.69/17.02 tff(10293,plain,
% 25.69/17.02 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10292, 1105, 10286])).
% 25.69/17.02 tff(10294,plain,
% 25.69/17.02 (v90(constB78, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10293, 10223])).
% 25.69/17.02 tff(10295,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10296,plain,
% 25.69/17.02 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10297,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10296])).
% 25.69/17.02 tff(10298,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10297, 10295])).
% 25.69/17.02 tff(10299,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10300,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10299, 10298])).
% 25.69/17.02 tff(10301,plain,
% 25.69/17.02 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10300, 1123, 10251])).
% 25.69/17.02 tff(10302,plain,
% 25.69/17.02 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10301, 10263])).
% 25.69/17.02 tff(10303,plain,
% 25.69/17.02 (v90(constB79, bitIndex1)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10302, 10294])).
% 25.69/17.02 tff(10304,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10305,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10306,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 25.69/17.02 tff(10307,plain,
% 25.69/17.02 (v130(constB77, bitIndex0)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10306, 1413, 10132])).
% 25.69/17.02 tff(10308,plain,
% 25.69/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10309,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10310,plain,
% 25.69/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 25.69/17.02 tff(10311,plain,
% 25.69/17.02 ((~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10310, 822, 10168])).
% 25.69/17.02 tff(10312,plain,
% 25.69/17.02 (v127(constB77, bitIndex0)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10311, 10307])).
% 25.69/17.02 tff(10313,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10314,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10315,plain,
% 25.69/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 25.69/17.02 tff(10316,plain,
% 25.69/17.02 ((~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10315, 837, 10183])).
% 25.69/17.02 tff(10317,plain,
% 25.69/17.02 (v129(constB78, bitIndex0)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10316, 10312])).
% 25.69/17.02 tff(10318,plain,
% 25.69/17.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10319,plain,
% 25.69/17.02 ((v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10320,plain,
% 25.69/17.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))))),
% 25.69/17.02 inference(monotonicity,[status(thm)],[10319])).
% 25.69/17.02 tff(10321,plain,
% 25.69/17.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 25.69/17.02 inference(transitivity,[status(thm)],[10320, 10318])).
% 25.69/17.02 tff(10322,plain,
% 25.69/17.02 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))),
% 25.69/17.02 inference(quant_inst,[status(thm)],[])).
% 25.69/17.02 tff(10323,plain,
% 25.69/17.02 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))),
% 25.69/17.02 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 25.69/17.02 tff(10324,plain,
% 25.69/17.02 (v90(constB78, bitIndex0) | (~v100(constB78))),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10323, 852, 10317])).
% 25.69/17.02 tff(10325,plain,
% 25.69/17.02 (v90(constB78, bitIndex0)),
% 25.69/17.02 inference(unit_resolution,[status(thm)],[10324, 10223])).
% 25.69/17.02 tff(10326,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10327,plain,
% 25.69/17.02 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 25.69/17.02 inference(rewrite,[status(thm)],[])).
% 25.69/17.02 tff(10328,plain,
% 25.69/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10327])).
% 25.69/17.03 tff(10329,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10328, 10326])).
% 25.69/17.03 tff(10330,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10331,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 25.69/17.03 tff(10332,plain,
% 25.69/17.03 ((~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10331, 870, 10251])).
% 25.69/17.03 tff(10333,plain,
% 25.69/17.03 ((~v90(constB78, bitIndex0)) | v90(constB79, bitIndex0)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10332, 10263])).
% 25.69/17.03 tff(10334,plain,
% 25.69/17.03 (v90(constB79, bitIndex0)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10333, 10325])).
% 25.69/17.03 tff(10335,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10336,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10337,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 25.69/17.03 tff(10338,plain,
% 25.69/17.03 (v122(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10337, 1454, 10334, 10303, 10272])).
% 25.69/17.03 tff(10339,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB79)) | v116(constB79))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10340,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10341,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB79)) | v116(constB79)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10340, 10339])).
% 25.69/17.03 tff(10342,plain,
% 25.69/17.03 (v116(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10341, 1465, 10338])).
% 25.69/17.03 tff(10343,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB79)) | v115(constB79))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10344,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10345,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB79)) | v115(constB79)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10344, 10343])).
% 25.69/17.03 tff(10346,plain,
% 25.69/17.03 (v115(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10345, 490, 10342])).
% 25.69/17.03 tff(10347,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10348,plain,
% 25.69/17.03 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10349,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10348])).
% 25.69/17.03 tff(10350,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10349, 10347])).
% 25.69/17.03 tff(10351,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10352,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 25.69/17.03 tff(10353,plain,
% 25.69/17.03 (v114(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10352, 504, 10346])).
% 25.69/17.03 tff(10354,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10355,plain,
% 25.69/17.03 (((~v114(constB79)) | v113(constB79)) <=> (v113(constB79) | (~v114(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10356,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10355])).
% 25.69/17.03 tff(10357,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10356, 10354])).
% 25.69/17.03 tff(10358,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10359,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 25.69/17.03 tff(10360,plain,
% 25.69/17.03 (v113(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10359, 518, 10353])).
% 25.69/17.03 tff(10361,assumption,(v26(constB79)), introduced(assumption)).
% 25.69/17.03 tff(10362,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10363,plain,
% 25.69/17.03 ($false),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10362, 120, 10361])).
% 25.69/17.03 tff(10364,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 25.69/17.03 tff(10365,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10366,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10367,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10366, 10365])).
% 25.69/17.03 tff(10368,plain,
% 25.69/17.03 ((~v113(constB79)) | v112(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10367, 532, 10364])).
% 25.69/17.03 tff(10369,plain,
% 25.69/17.03 (v112(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10368, 10360])).
% 25.69/17.03 tff(10370,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10371,plain,
% 25.69/17.03 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10372,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10371])).
% 25.69/17.03 tff(10373,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10372, 10370])).
% 25.69/17.03 tff(10374,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10375,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 25.69/17.03 tff(10376,plain,
% 25.69/17.03 (v108(constB79)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10375, 544, 10369])).
% 25.69/17.03 tff(10377,plain,
% 25.69/17.03 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10378,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 25.69/17.03 tff(10379,plain,
% 25.69/17.03 (nextState(constB79, constB80)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10378, 10377])).
% 25.69/17.03 tff(10380,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10381,plain,
% 25.69/17.03 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10382,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10381])).
% 25.69/17.03 tff(10383,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10382, 10380])).
% 25.69/17.03 tff(10384,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10385,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10384, 10383])).
% 25.69/17.03 tff(10386,plain,
% 25.69/17.03 (v110(constB80) | (~v108(constB79))),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10385, 564, 10379])).
% 25.69/17.03 tff(10387,plain,
% 25.69/17.03 (v110(constB80)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10386, 10376])).
% 25.69/17.03 tff(10388,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10389,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10390,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 25.69/17.03 tff(10391,plain,
% 25.69/17.03 (~v104(constB80)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10390, 582, 10379, 10248])).
% 25.69/17.03 tff(10392,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10393,plain,
% 25.69/17.03 (((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10394,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10393])).
% 25.69/17.03 tff(10395,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10394, 10392])).
% 25.69/17.03 tff(10396,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10397,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | v102(constB80)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 25.69/17.03 tff(10398,plain,
% 25.69/17.03 (v104(constB80) | v102(constB80)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10397, 596, 10379])).
% 25.69/17.03 tff(10399,plain,
% 25.69/17.03 (v102(constB80)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10398, 10391])).
% 25.69/17.03 tff(10400,plain,
% 25.69/17.03 (v1(constB80) <=> v1(constB80)),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10401,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 25.69/17.03 tff(10402,plain,
% 25.69/17.03 (v1(constB80)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 25.69/17.03 tff(10403,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10404,plain,
% 25.69/17.03 (((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))) <=> ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10405,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10404])).
% 25.69/17.03 tff(10406,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10405, 10403])).
% 25.69/17.03 tff(10407,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10408,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | (~v1(constB80)) | v101(constB80) | (~v102(constB80))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10407, 10406])).
% 25.69/17.03 tff(10409,plain,
% 25.69/17.03 (v101(constB80) | (~v102(constB80))),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10408, 617, 10379, 10402])).
% 25.69/17.03 tff(10410,plain,
% 25.69/17.03 (v101(constB80)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10409, 10399])).
% 25.69/17.03 tff(10411,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10412,plain,
% 25.69/17.03 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10413,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10412])).
% 25.69/17.03 tff(10414,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10413, 10411])).
% 25.69/17.03 tff(10415,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10416,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10415, 10414])).
% 25.69/17.03 tff(10417,plain,
% 25.69/17.03 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10416, 635, 10379])).
% 25.69/17.03 tff(10418,plain,
% 25.69/17.03 (v100(constB80) | (~v110(constB80))),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10417, 10410])).
% 25.69/17.03 tff(10419,plain,
% 25.69/17.03 (v100(constB80)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10418, 10387])).
% 25.69/17.03 tff(10420,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10421,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10422,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10421, 10420])).
% 25.69/17.03 tff(10423,plain,
% 25.69/17.03 (v130(constB79, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10422, 1546, 10338])).
% 25.69/17.03 tff(10424,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10425,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10426,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 25.69/17.03 tff(10427,plain,
% 25.69/17.03 ((~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10426, 1560, 10364])).
% 25.69/17.03 tff(10428,plain,
% 25.69/17.03 (v127(constB79, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10427, 10423])).
% 25.69/17.03 tff(10429,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10430,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10431,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 25.69/17.03 tff(10432,plain,
% 25.69/17.03 ((~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10431, 1575, 10379])).
% 25.69/17.03 tff(10433,plain,
% 25.69/17.03 (v129(constB80, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10432, 10428])).
% 25.69/17.03 tff(10434,plain,
% 25.69/17.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10435,plain,
% 25.69/17.03 ((v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10436,plain,
% 25.69/17.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10435])).
% 25.69/17.03 tff(10437,plain,
% 25.69/17.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10436, 10434])).
% 25.69/17.03 tff(10438,plain,
% 25.69/17.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10439,plain,
% 25.69/17.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10438, 10437])).
% 25.69/17.03 tff(10440,plain,
% 25.69/17.03 (v90(constB80, bitIndex2) | (~v100(constB80))),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10439, 1590, 10433])).
% 25.69/17.03 tff(10441,plain,
% 25.69/17.03 (v90(constB80, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10440, 10419])).
% 25.69/17.03 tff(10442,plain,
% 25.69/17.03 ((~v1(constB81)) <=> (~v1(constB81))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10443,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 25.69/17.03 tff(10444,plain,
% 25.69/17.03 (~v1(constB81)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 25.69/17.03 tff(10445,plain,
% 25.69/17.03 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10446,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 25.69/17.03 tff(10447,plain,
% 25.69/17.03 (nextState(constB80, constB81)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 25.69/17.03 tff(10448,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10449,plain,
% 25.69/17.03 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10450,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10449])).
% 25.69/17.03 tff(10451,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10450, 10448])).
% 25.69/17.03 tff(10452,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10453,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10452, 10451])).
% 25.69/17.03 tff(10454,plain,
% 25.69/17.03 (~v101(constB81)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10453, 342, 10447, 10444])).
% 25.69/17.03 tff(10455,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10456,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10457,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10456, 10455])).
% 25.69/17.03 tff(10458,plain,
% 25.69/17.03 (v101(constB81) | (~v100(constB81))),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10457, 359, 10447])).
% 25.69/17.03 tff(10459,plain,
% 25.69/17.03 (~v100(constB81)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10458, 10454])).
% 25.69/17.03 tff(10460,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10461,plain,
% 25.69/17.03 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10462,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)))),
% 25.69/17.03 inference(monotonicity,[status(thm)],[10461])).
% 25.69/17.03 tff(10463,plain,
% 25.69/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 25.69/17.03 inference(transitivity,[status(thm)],[10462, 10460])).
% 25.69/17.03 tff(10464,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10465,plain,
% 25.69/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 25.69/17.03 tff(10466,plain,
% 25.69/17.03 ((~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10465, 1626, 10447])).
% 25.69/17.03 tff(10467,plain,
% 25.69/17.03 ((~v90(constB80, bitIndex2)) | v90(constB81, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10466, 10459])).
% 25.69/17.03 tff(10468,plain,
% 25.69/17.03 (v90(constB81, bitIndex2)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10467, 10441])).
% 25.69/17.03 tff(10469,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 25.69/17.03 inference(rewrite,[status(thm)],[])).
% 25.69/17.03 tff(10470,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 25.69/17.03 inference(quant_inst,[status(thm)],[])).
% 25.69/17.03 tff(10471,plain,
% 25.69/17.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1))),
% 25.69/17.03 inference(modus_ponens,[status(thm)],[10470, 10469])).
% 25.69/17.03 tff(10472,plain,
% 25.69/17.03 (~v130(constB79, bitIndex1)),
% 25.69/17.03 inference(unit_resolution,[status(thm)],[10471, 1642, 10338])).
% 25.69/17.03 tff(10473,plain,
% 25.69/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 25.69/17.04 inference(rewrite,[status(thm)],[])).
% 25.69/17.04 tff(10474,plain,
% 25.69/17.04 ((v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1))) <=> ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 25.69/17.04 inference(rewrite,[status(thm)],[])).
% 25.69/17.04 tff(10475,plain,
% 25.69/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)))),
% 25.69/17.04 inference(monotonicity,[status(thm)],[10474])).
% 25.69/17.04 tff(10476,plain,
% 25.69/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 25.69/17.04 inference(transitivity,[status(thm)],[10475, 10473])).
% 25.69/17.04 tff(10477,plain,
% 25.69/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))),
% 25.69/17.04 inference(quant_inst,[status(thm)],[])).
% 25.69/17.04 tff(10478,plain,
% 25.69/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)),
% 25.69/17.04 inference(modus_ponens,[status(thm)],[10477, 10476])).
% 25.69/17.04 tff(10479,plain,
% 25.69/17.04 ((~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 25.69/17.04 inference(unit_resolution,[status(thm)],[10478, 751, 10364])).
% 25.69/17.04 tff(10480,plain,
% 25.69/17.04 (~v127(constB79, bitIndex1)),
% 25.69/17.04 inference(unit_resolution,[status(thm)],[10479, 10472])).
% 25.69/17.04 tff(10481,plain,
% 25.69/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 25.69/17.04 inference(rewrite,[status(thm)],[])).
% 25.69/17.04 tff(10482,plain,
% 25.69/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 25.69/17.04 inference(quant_inst,[status(thm)],[])).
% 25.69/17.04 tff(10483,plain,
% 25.69/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 25.69/17.04 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 25.69/17.04 tff(10484,plain,
% 25.69/17.04 (v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 25.69/17.04 inference(unit_resolution,[status(thm)],[10483, 769, 10379])).
% 25.69/17.04 tff(10485,plain,
% 25.69/17.04 (~v129(constB80, bitIndex1)),
% 25.69/17.04 inference(unit_resolution,[status(thm)],[10484, 10480])).
% 25.69/17.04 tff(10486,plain,
% 25.69/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 25.69/17.04 inference(rewrite,[status(thm)],[])).
% 25.69/17.04 tff(10487,plain,
% 25.69/17.04 (((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 25.69/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10488,plain,
% 25.77/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10487])).
% 25.77/17.04 tff(10489,plain,
% 25.77/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10488, 10486])).
% 25.77/17.04 tff(10490,plain,
% 25.77/17.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10491,plain,
% 25.77/17.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 25.77/17.04 tff(10492,plain,
% 25.77/17.04 ((~v90(constB80, bitIndex1)) | (~v100(constB80))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10491, 784, 10485])).
% 25.77/17.04 tff(10493,plain,
% 25.77/17.04 (~v90(constB80, bitIndex1)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10492, 10419])).
% 25.77/17.04 tff(10494,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10495,plain,
% 25.77/17.04 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10496,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10495])).
% 25.77/17.04 tff(10497,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10496, 10494])).
% 25.77/17.04 tff(10498,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10499,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 25.77/17.04 tff(10500,plain,
% 25.77/17.04 (v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10499, 395, 10447])).
% 25.77/17.04 tff(10501,plain,
% 25.77/17.04 (v90(constB80, bitIndex1) | (~v90(constB81, bitIndex1))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10500, 10459])).
% 25.77/17.04 tff(10502,plain,
% 25.77/17.04 (~v90(constB81, bitIndex1)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10501, 10493])).
% 25.77/17.04 tff(10503,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10504,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10505,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10504, 10503])).
% 25.77/17.04 tff(10506,plain,
% 25.77/17.04 (~v130(constB79, bitIndex0)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10505, 1683, 10338])).
% 25.77/17.04 tff(10507,assumption,(v127(constB79, bitIndex0)), introduced(assumption)).
% 25.77/17.04 tff(10508,assumption,(~v130(constB79, bitIndex0)), introduced(assumption)).
% 25.77/17.04 tff(10509,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10510,plain,
% 25.77/17.04 ((v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0))) <=> ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10511,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10510])).
% 25.77/17.04 tff(10512,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10511, 10509])).
% 25.77/17.04 tff(10513,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10514,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 25.77/17.04 tff(10515,plain,
% 25.77/17.04 ((~v127(constB79, bitIndex0)) | v26(constB79)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10514, 1153, 10508])).
% 25.77/17.04 tff(10516,plain,
% 25.77/17.04 (v26(constB79)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10515, 10507])).
% 25.77/17.04 tff(10517,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB79)) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB79)) | (~v127(constB79, bitIndex0)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10518,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB79)) | (~v127(constB79, bitIndex0)))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10519,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB79)) | (~v127(constB79, bitIndex0))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 25.77/17.04 tff(10520,plain,
% 25.77/17.04 ($false),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10519, 4862, 10507, 10516])).
% 25.77/17.04 tff(10521,plain,((~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.77/17.04 tff(10522,plain,
% 25.77/17.04 (~v127(constB79, bitIndex0)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10521, 10506])).
% 25.77/17.04 tff(10523,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10524,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10525,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 25.77/17.04 tff(10526,plain,
% 25.77/17.04 (v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10525, 1171, 10379])).
% 25.77/17.04 tff(10527,plain,
% 25.77/17.04 (~v129(constB80, bitIndex0)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10526, 10522])).
% 25.77/17.04 tff(10528,plain,
% 25.77/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10529,plain,
% 25.77/17.04 (((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10530,plain,
% 25.77/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10529])).
% 25.77/17.04 tff(10531,plain,
% 25.77/17.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10530, 10528])).
% 25.77/17.04 tff(10532,plain,
% 25.77/17.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10533,plain,
% 25.77/17.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 25.77/17.04 tff(10534,plain,
% 25.77/17.04 ((~v90(constB80, bitIndex0)) | (~v100(constB80))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10533, 1186, 10527])).
% 25.77/17.04 tff(10535,plain,
% 25.77/17.04 (~v90(constB80, bitIndex0)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10534, 10419])).
% 25.77/17.04 tff(10536,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10537,plain,
% 25.77/17.04 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10538,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10537])).
% 25.77/17.04 tff(10539,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10538, 10536])).
% 25.77/17.04 tff(10540,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10541,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 25.77/17.04 tff(10542,plain,
% 25.77/17.04 (v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10541, 416, 10447])).
% 25.77/17.04 tff(10543,plain,
% 25.77/17.04 (v90(constB80, bitIndex0) | (~v90(constB81, bitIndex0))),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10542, 10459])).
% 25.77/17.04 tff(10544,plain,
% 25.77/17.04 (~v90(constB81, bitIndex0)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10543, 10535])).
% 25.77/17.04 tff(10545,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10546,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10547,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10546, 10545])).
% 25.77/17.04 tff(10548,plain,
% 25.77/17.04 (v123(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10547, 1727, 10544, 10502, 10468])).
% 25.77/17.04 tff(10549,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10550,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10551,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 25.77/17.04 tff(10552,plain,
% 25.77/17.04 (v130(constB81, bitIndex2)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10551, 1738, 10548])).
% 25.77/17.04 tff(10553,assumption,(v26(constB81)), introduced(assumption)).
% 25.77/17.04 tff(10554,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10555,plain,
% 25.77/17.04 ($false),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10554, 120, 10553])).
% 25.77/17.04 tff(10556,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 25.77/17.04 tff(10557,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10558,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10559,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 25.77/17.04 tff(10560,plain,
% 25.77/17.04 ((~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10559, 1560, 10556])).
% 25.77/17.04 tff(10561,plain,
% 25.77/17.04 (v127(constB81, bitIndex2)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10560, 10552])).
% 25.77/17.04 tff(10562,plain,
% 25.77/17.04 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10563,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 25.77/17.04 tff(10564,plain,
% 25.77/17.04 (nextState(constB81, constB82)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10563, 10562])).
% 25.77/17.04 tff(10565,plain,
% 25.77/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10566,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10567,plain,
% 25.77/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 25.77/17.04 tff(10568,plain,
% 25.77/17.04 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10567, 1575, 10564])).
% 25.77/17.04 tff(10569,plain,
% 25.77/17.04 (v129(constB82, bitIndex2)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10568, 10561])).
% 25.77/17.04 tff(10570,assumption,(~v113(constB81)), introduced(assumption)).
% 25.77/17.04 tff(10571,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10572,plain,
% 25.77/17.04 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10573,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10572])).
% 25.77/17.04 tff(10574,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10573, 10571])).
% 25.77/17.04 tff(10575,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10576,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10575, 10574])).
% 25.77/17.04 tff(10577,plain,
% 25.77/17.04 (~v114(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10576, 518, 10570])).
% 25.77/17.04 tff(10578,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10579,plain,
% 25.77/17.04 (((~v115(constB81)) | v114(constB81)) <=> (v114(constB81) | (~v115(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10580,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10579])).
% 25.77/17.04 tff(10581,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10580, 10578])).
% 25.77/17.04 tff(10582,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10583,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 25.77/17.04 tff(10584,plain,
% 25.77/17.04 (~v115(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10583, 504, 10577])).
% 25.77/17.04 tff(10585,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10586,plain,
% 25.77/17.04 (((~v116(constB81)) | v115(constB81)) <=> (v115(constB81) | (~v116(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10587,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB81) | (~v116(constB81))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10586])).
% 25.77/17.04 tff(10588,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10587, 10585])).
% 25.77/17.04 tff(10589,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB81)) | v115(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10590,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB81) | (~v116(constB81))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 25.77/17.04 tff(10591,plain,
% 25.77/17.04 (~v116(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10590, 490, 10584])).
% 25.77/17.04 tff(10592,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB81) | (~v117(constB81)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB81) | (~v117(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10593,plain,
% 25.77/17.04 (((~v117(constB81)) | v116(constB81)) <=> (v116(constB81) | (~v117(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10594,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB81)) | v116(constB81))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB81) | (~v117(constB81))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10593])).
% 25.77/17.04 tff(10595,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB81)) | v116(constB81))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB81) | (~v117(constB81)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10594, 10592])).
% 25.77/17.04 tff(10596,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB81)) | v116(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10597,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB81) | (~v117(constB81))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 25.77/17.04 tff(10598,plain,
% 25.77/17.04 (~v117(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10597, 476, 10591])).
% 25.77/17.04 tff(10599,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB81) | (~v121(constB81)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB81) | (~v121(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10600,plain,
% 25.77/17.04 (((~v121(constB81)) | v117(constB81)) <=> (v117(constB81) | (~v121(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10601,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB81)) | v117(constB81))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB81) | (~v121(constB81))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10600])).
% 25.77/17.04 tff(10602,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB81)) | v117(constB81))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB81) | (~v121(constB81)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10601, 10599])).
% 25.77/17.04 tff(10603,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB81)) | v117(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10604,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB81) | (~v121(constB81))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 25.77/17.04 tff(10605,plain,
% 25.77/17.04 (~v121(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10604, 1224, 10598])).
% 25.77/17.04 tff(10606,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10607,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10608,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10607, 10606])).
% 25.77/17.04 tff(10609,plain,
% 25.77/17.04 (~v123(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10608, 1784, 10584])).
% 25.77/17.04 tff(10610,assumption,(~v90(constB81, bitIndex0)), introduced(assumption)).
% 25.77/17.04 tff(10611,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB81)) | v117(constB81))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB81)) | v117(constB81))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10612,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB81)) | v117(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10613,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB81)) | v117(constB81)),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10612, 10611])).
% 25.77/17.04 tff(10614,plain,
% 25.77/17.04 (~v118(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10613, 462, 10598])).
% 25.77/17.04 tff(10615,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB81) | (~v119(constB81)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB81) | (~v119(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10616,plain,
% 25.77/17.04 (((~v119(constB81)) | v118(constB81)) <=> (v118(constB81) | (~v119(constB81)))),
% 25.77/17.04 inference(rewrite,[status(thm)],[])).
% 25.77/17.04 tff(10617,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB81)) | v118(constB81))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB81) | (~v119(constB81))))),
% 25.77/17.04 inference(monotonicity,[status(thm)],[10616])).
% 25.77/17.04 tff(10618,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB81)) | v118(constB81))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB81) | (~v119(constB81)))),
% 25.77/17.04 inference(transitivity,[status(thm)],[10617, 10615])).
% 25.77/17.04 tff(10619,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB81)) | v118(constB81))),
% 25.77/17.04 inference(quant_inst,[status(thm)],[])).
% 25.77/17.04 tff(10620,plain,
% 25.77/17.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB81) | (~v119(constB81))),
% 25.77/17.04 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 25.77/17.04 tff(10621,plain,
% 25.77/17.04 (~v119(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10620, 451, 10614])).
% 25.77/17.04 tff(10622,assumption,(~v119(constB81)), introduced(assumption)).
% 25.77/17.04 tff(10623,assumption,(~v90(constB81, bitIndex1)), introduced(assumption)).
% 25.77/17.04 tff(10624,assumption,(~v123(constB81)), introduced(assumption)).
% 25.77/17.04 tff(10625,plain,
% 25.77/17.04 (v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10547, 1727, 10610])).
% 25.77/17.04 tff(10626,plain,
% 25.77/17.04 (~v90(constB81, bitIndex2)),
% 25.77/17.04 inference(unit_resolution,[status(thm)],[10625, 10623, 10624])).
% 25.77/17.04 tff(10627,plain,
% 25.77/17.04 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10628,plain,
% 25.77/17.05 ((v90(constB81, bitIndex0) | v119(constB81) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2)) <=> (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10629,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB81, bitIndex0) | v119(constB81) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81)))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10628])).
% 25.77/17.05 tff(10630,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB81, bitIndex0) | v119(constB81) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10629, 10627])).
% 25.77/17.05 tff(10631,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB81, bitIndex0) | v119(constB81) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10632,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10631, 10630])).
% 25.77/17.05 tff(10633,plain,
% 25.77/17.05 (v90(constB81, bitIndex1) | v90(constB81, bitIndex2) | v119(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10632, 437, 10610])).
% 25.77/17.05 tff(10634,plain,
% 25.77/17.05 ($false),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10633, 10626, 10623, 10622])).
% 25.77/17.05 tff(10635,plain,(v90(constB81, bitIndex1) | v119(constB81) | v90(constB81, bitIndex0) | v123(constB81)), inference(lemma,lemma(discharge,[]))).
% 25.77/17.05 tff(10636,plain,
% 25.77/17.05 (v90(constB81, bitIndex1)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10635, 10621, 10610, 10609])).
% 25.77/17.05 tff(10637,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v125(constB81)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v125(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10638,plain,
% 25.77/17.05 (((~v125(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v125(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10639,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v125(constB81))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10638])).
% 25.77/17.05 tff(10640,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v125(constB81)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10639, 10637])).
% 25.77/17.05 tff(10641,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB81)) | v113(constB81))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10642,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v125(constB81))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 25.77/17.05 tff(10643,plain,
% 25.77/17.05 (~v125(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10642, 2215, 10570])).
% 25.77/17.05 tff(10644,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex2)) | v125(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex2)) | v125(constB81))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10645,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex2)) | v125(constB81))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10646,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex2)) | v125(constB81)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 25.77/17.05 tff(10647,plain,
% 25.77/17.05 ((~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex2)) | v125(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10646, 2204, 10610])).
% 25.77/17.05 tff(10648,plain,
% 25.77/17.05 (~v90(constB81, bitIndex2)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10647, 10636, 10643])).
% 25.77/17.05 tff(10649,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v121(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v121(constB81))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10650,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v121(constB81))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10651,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v121(constB81)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 25.77/17.05 tff(10652,plain,
% 25.77/17.05 ((~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v121(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10651, 1213, 10610])).
% 25.77/17.05 tff(10653,plain,
% 25.77/17.05 ($false),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10652, 10648, 10636, 10605])).
% 25.77/17.05 tff(10654,plain,(v113(constB81) | v90(constB81, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.77/17.05 tff(10655,plain,
% 25.77/17.05 (v113(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10654, 10544])).
% 25.77/17.05 tff(10656,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10657,plain,
% 25.77/17.05 ((v26(constB81) | (~v113(constB81)) | v112(constB81)) <=> (v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10658,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10657])).
% 25.77/17.05 tff(10659,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10658, 10656])).
% 25.77/17.05 tff(10660,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10661,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 25.77/17.05 tff(10662,plain,
% 25.77/17.05 (v112(constB81) | (~v113(constB81))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10661, 532, 10556])).
% 25.77/17.05 tff(10663,plain,
% 25.77/17.05 (v112(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10662, 10655])).
% 25.77/17.05 tff(10664,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10665,plain,
% 25.77/17.05 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10666,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10665])).
% 25.77/17.05 tff(10667,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10666, 10664])).
% 25.77/17.05 tff(10668,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10669,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 25.77/17.05 tff(10670,plain,
% 25.77/17.05 (v108(constB81)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10669, 544, 10663])).
% 25.77/17.05 tff(10671,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10672,plain,
% 25.77/17.05 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10673,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10672])).
% 25.77/17.05 tff(10674,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10673, 10671])).
% 25.77/17.05 tff(10675,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10676,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10675, 10674])).
% 25.77/17.05 tff(10677,plain,
% 25.77/17.05 (v110(constB82) | (~v108(constB81))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10676, 564, 10564])).
% 25.77/17.05 tff(10678,plain,
% 25.77/17.05 (v110(constB82)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10677, 10670])).
% 25.77/17.05 tff(10679,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10680,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10681,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 25.77/17.05 tff(10682,plain,
% 25.77/17.05 (~v104(constB82)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10681, 582, 10564, 10444])).
% 25.77/17.05 tff(10683,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10684,plain,
% 25.77/17.05 (((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10685,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10684])).
% 25.77/17.05 tff(10686,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10685, 10683])).
% 25.77/17.05 tff(10687,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10688,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | v102(constB82)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10687, 10686])).
% 25.77/17.05 tff(10689,plain,
% 25.77/17.05 (v104(constB82) | v102(constB82)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10688, 596, 10564])).
% 25.77/17.05 tff(10690,plain,
% 25.77/17.05 (v102(constB82)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10689, 10682])).
% 25.77/17.05 tff(10691,plain,
% 25.77/17.05 (v1(constB82) <=> v1(constB82)),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10692,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 25.77/17.05 tff(10693,plain,
% 25.77/17.05 (v1(constB82)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10692, 10691])).
% 25.77/17.05 tff(10694,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10695,plain,
% 25.77/17.05 (((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))) <=> ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10696,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10695])).
% 25.77/17.05 tff(10697,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10696, 10694])).
% 25.77/17.05 tff(10698,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10699,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | (~v1(constB82)) | v101(constB82) | (~v102(constB82))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10698, 10697])).
% 25.77/17.05 tff(10700,plain,
% 25.77/17.05 (v101(constB82) | (~v102(constB82))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10699, 617, 10564, 10693])).
% 25.77/17.05 tff(10701,plain,
% 25.77/17.05 (v101(constB82)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10700, 10690])).
% 25.77/17.05 tff(10702,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10703,plain,
% 25.77/17.05 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10704,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10703])).
% 25.77/17.05 tff(10705,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10704, 10702])).
% 25.77/17.05 tff(10706,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10707,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 25.77/17.05 tff(10708,plain,
% 25.77/17.05 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10707, 635, 10564])).
% 25.77/17.05 tff(10709,plain,
% 25.77/17.05 (v100(constB82) | (~v110(constB82))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10708, 10701])).
% 25.77/17.05 tff(10710,plain,
% 25.77/17.05 (v100(constB82)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10709, 10678])).
% 25.77/17.05 tff(10711,plain,
% 25.77/17.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10712,plain,
% 25.77/17.05 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10713,plain,
% 25.77/17.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10712])).
% 25.77/17.05 tff(10714,plain,
% 25.77/17.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10713, 10711])).
% 25.77/17.05 tff(10715,plain,
% 25.77/17.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10716,plain,
% 25.77/17.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10715, 10714])).
% 25.77/17.05 tff(10717,plain,
% 25.77/17.05 (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10716, 1590, 10710])).
% 25.77/17.05 tff(10718,plain,
% 25.77/17.05 (v90(constB82, bitIndex2)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10717, 10569])).
% 25.77/17.05 tff(10719,plain,
% 25.77/17.05 ((~v1(constB83)) <=> (~v1(constB83))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10720,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 25.77/17.05 tff(10721,plain,
% 25.77/17.05 (~v1(constB83)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10720, 10719])).
% 25.77/17.05 tff(10722,plain,
% 25.77/17.05 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10723,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 25.77/17.05 tff(10724,plain,
% 25.77/17.05 (nextState(constB82, constB83)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10723, 10722])).
% 25.77/17.05 tff(10725,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10726,plain,
% 25.77/17.05 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10727,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10726])).
% 25.77/17.05 tff(10728,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10727, 10725])).
% 25.77/17.05 tff(10729,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10730,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 25.77/17.05 tff(10731,plain,
% 25.77/17.05 (~v101(constB83)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10730, 342, 10724, 10721])).
% 25.77/17.05 tff(10732,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10733,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10734,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 25.77/17.05 tff(10735,plain,
% 25.77/17.05 (v101(constB83) | (~v100(constB83))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10734, 359, 10724])).
% 25.77/17.05 tff(10736,plain,
% 25.77/17.05 (~v100(constB83)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10735, 10731])).
% 25.77/17.05 tff(10737,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10738,plain,
% 25.77/17.05 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10739,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10738])).
% 25.77/17.05 tff(10740,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10739, 10737])).
% 25.77/17.05 tff(10741,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10742,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10741, 10740])).
% 25.77/17.05 tff(10743,plain,
% 25.77/17.05 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10742, 1626, 10724])).
% 25.77/17.05 tff(10744,plain,
% 25.77/17.05 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10743, 10736])).
% 25.77/17.05 tff(10745,plain,
% 25.77/17.05 (v90(constB83, bitIndex2)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10744, 10718])).
% 25.77/17.05 tff(10746,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10747,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10748,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 25.77/17.05 tff(10749,plain,
% 25.77/17.05 (~v130(constB81, bitIndex1)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10748, 1893, 10548])).
% 25.77/17.05 tff(10750,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10751,plain,
% 25.77/17.05 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10752,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 25.77/17.05 inference(monotonicity,[status(thm)],[10751])).
% 25.77/17.05 tff(10753,plain,
% 25.77/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 25.77/17.05 inference(transitivity,[status(thm)],[10752, 10750])).
% 25.77/17.05 tff(10754,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10755,plain,
% 25.77/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10754, 10753])).
% 25.77/17.05 tff(10756,plain,
% 25.77/17.05 ((~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10755, 751, 10556])).
% 25.77/17.05 tff(10757,plain,
% 25.77/17.05 (~v127(constB81, bitIndex1)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10756, 10749])).
% 25.77/17.05 tff(10758,plain,
% 25.77/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10759,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 25.77/17.05 inference(quant_inst,[status(thm)],[])).
% 25.77/17.05 tff(10760,plain,
% 25.77/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 25.77/17.05 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 25.77/17.05 tff(10761,plain,
% 25.77/17.05 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10760, 769, 10564])).
% 25.77/17.05 tff(10762,plain,
% 25.77/17.05 (~v129(constB82, bitIndex1)),
% 25.77/17.05 inference(unit_resolution,[status(thm)],[10761, 10757])).
% 25.77/17.05 tff(10763,plain,
% 25.77/17.05 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 25.77/17.05 inference(rewrite,[status(thm)],[])).
% 25.77/17.05 tff(10764,plain,
% 25.77/17.06 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10765,plain,
% 25.77/17.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10764])).
% 25.77/17.06 tff(10766,plain,
% 25.77/17.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10765, 10763])).
% 25.77/17.06 tff(10767,plain,
% 25.77/17.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10768,plain,
% 25.77/17.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 25.77/17.06 tff(10769,plain,
% 25.77/17.06 ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10768, 784, 10710])).
% 25.77/17.06 tff(10770,plain,
% 25.77/17.06 (~v90(constB82, bitIndex1)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10769, 10762])).
% 25.77/17.06 tff(10771,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10772,plain,
% 25.77/17.06 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10773,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10772])).
% 25.77/17.06 tff(10774,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10773, 10771])).
% 25.77/17.06 tff(10775,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10776,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 25.77/17.06 tff(10777,plain,
% 25.77/17.06 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10776, 395, 10724])).
% 25.77/17.06 tff(10778,plain,
% 25.77/17.06 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10777, 10736])).
% 25.77/17.06 tff(10779,plain,
% 25.77/17.06 (~v90(constB83, bitIndex1)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10778, 10770])).
% 25.77/17.06 tff(10780,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10781,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10782,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10781, 10780])).
% 25.77/17.06 tff(10783,plain,
% 25.77/17.06 (v130(constB81, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10782, 1934, 10548])).
% 25.77/17.06 tff(10784,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10785,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10786,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10785, 10784])).
% 25.77/17.06 tff(10787,plain,
% 25.77/17.06 ((~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10786, 822, 10556])).
% 25.77/17.06 tff(10788,plain,
% 25.77/17.06 (v127(constB81, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10787, 10783])).
% 25.77/17.06 tff(10789,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10790,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10791,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10790, 10789])).
% 25.77/17.06 tff(10792,plain,
% 25.77/17.06 ((~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10791, 837, 10564])).
% 25.77/17.06 tff(10793,plain,
% 25.77/17.06 (v129(constB82, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10792, 10788])).
% 25.77/17.06 tff(10794,plain,
% 25.77/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10795,plain,
% 25.77/17.06 ((v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10796,plain,
% 25.77/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10795])).
% 25.77/17.06 tff(10797,plain,
% 25.77/17.06 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10796, 10794])).
% 25.77/17.06 tff(10798,plain,
% 25.77/17.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10799,plain,
% 25.77/17.06 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 25.77/17.06 tff(10800,plain,
% 25.77/17.06 (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10799, 852, 10710])).
% 25.77/17.06 tff(10801,plain,
% 25.77/17.06 (v90(constB82, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10800, 10793])).
% 25.77/17.06 tff(10802,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10803,plain,
% 25.77/17.06 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10804,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10803])).
% 25.77/17.06 tff(10805,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10804, 10802])).
% 25.77/17.06 tff(10806,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10807,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10806, 10805])).
% 25.77/17.06 tff(10808,plain,
% 25.77/17.06 ((~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10807, 870, 10724])).
% 25.77/17.06 tff(10809,plain,
% 25.77/17.06 ((~v90(constB82, bitIndex0)) | v90(constB83, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10808, 10736])).
% 25.77/17.06 tff(10810,plain,
% 25.77/17.06 (v90(constB83, bitIndex0)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10809, 10801])).
% 25.77/17.06 tff(10811,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10812,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10813,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10812, 10811])).
% 25.77/17.06 tff(10814,plain,
% 25.77/17.06 (v124(constB83)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10813, 1975, 10810, 10779, 10745])).
% 25.77/17.06 tff(10815,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB83) | (~v124(constB83)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v124(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10816,plain,
% 25.77/17.06 (((~v124(constB83)) | v114(constB83)) <=> (v114(constB83) | (~v124(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10817,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB83) | (~v124(constB83))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10816])).
% 25.77/17.06 tff(10818,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v124(constB83)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10817, 10815])).
% 25.77/17.06 tff(10819,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10820,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v124(constB83))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 25.77/17.06 tff(10821,plain,
% 25.77/17.06 (v114(constB83)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10820, 1986, 10814])).
% 25.77/17.06 tff(10822,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10823,plain,
% 25.77/17.06 (((~v114(constB83)) | v113(constB83)) <=> (v113(constB83) | (~v114(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10824,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10823])).
% 25.77/17.06 tff(10825,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10824, 10822])).
% 25.77/17.06 tff(10826,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10827,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 25.77/17.06 tff(10828,plain,
% 25.77/17.06 (v113(constB83)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10827, 518, 10821])).
% 25.77/17.06 tff(10829,assumption,(v26(constB83)), introduced(assumption)).
% 25.77/17.06 tff(10830,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10831,plain,
% 25.77/17.06 ($false),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10830, 120, 10829])).
% 25.77/17.06 tff(10832,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 25.77/17.06 tff(10833,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10834,plain,
% 25.77/17.06 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10835,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10834])).
% 25.77/17.06 tff(10836,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10835, 10833])).
% 25.77/17.06 tff(10837,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10838,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 25.77/17.06 tff(10839,plain,
% 25.77/17.06 (v112(constB83) | (~v113(constB83))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10838, 532, 10832])).
% 25.77/17.06 tff(10840,plain,
% 25.77/17.06 (v112(constB83)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10839, 10828])).
% 25.77/17.06 tff(10841,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10842,plain,
% 25.77/17.06 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10843,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10842])).
% 25.77/17.06 tff(10844,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10843, 10841])).
% 25.77/17.06 tff(10845,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10846,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 25.77/17.06 tff(10847,plain,
% 25.77/17.06 (v108(constB83)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10846, 544, 10840])).
% 25.77/17.06 tff(10848,plain,
% 25.77/17.06 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10849,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 25.77/17.06 tff(10850,plain,
% 25.77/17.06 (nextState(constB83, constB84)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 25.77/17.06 tff(10851,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10852,plain,
% 25.77/17.06 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10853,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10852])).
% 25.77/17.06 tff(10854,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10853, 10851])).
% 25.77/17.06 tff(10855,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10856,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 25.77/17.06 tff(10857,plain,
% 25.77/17.06 (v110(constB84) | (~v108(constB83))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10856, 564, 10850])).
% 25.77/17.06 tff(10858,plain,
% 25.77/17.06 (v110(constB84)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10857, 10847])).
% 25.77/17.06 tff(10859,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10860,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10861,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 25.77/17.06 tff(10862,plain,
% 25.77/17.06 (~v104(constB84)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10861, 582, 10850, 10721])).
% 25.77/17.06 tff(10863,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10864,plain,
% 25.77/17.06 (((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10865,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10864])).
% 25.77/17.06 tff(10866,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10865, 10863])).
% 25.77/17.06 tff(10867,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10868,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | v102(constB84)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10867, 10866])).
% 25.77/17.06 tff(10869,plain,
% 25.77/17.06 (v104(constB84) | v102(constB84)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10868, 596, 10850])).
% 25.77/17.06 tff(10870,plain,
% 25.77/17.06 (v102(constB84)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10869, 10862])).
% 25.77/17.06 tff(10871,plain,
% 25.77/17.06 (v1(constB84) <=> v1(constB84)),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10872,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 25.77/17.06 tff(10873,plain,
% 25.77/17.06 (v1(constB84)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 25.77/17.06 tff(10874,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10875,plain,
% 25.77/17.06 (((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))) <=> ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10876,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10875])).
% 25.77/17.06 tff(10877,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10876, 10874])).
% 25.77/17.06 tff(10878,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10879,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | (~v1(constB84)) | v101(constB84) | (~v102(constB84))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 25.77/17.06 tff(10880,plain,
% 25.77/17.06 (v101(constB84) | (~v102(constB84))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10879, 617, 10850, 10873])).
% 25.77/17.06 tff(10881,plain,
% 25.77/17.06 (v101(constB84)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10880, 10870])).
% 25.77/17.06 tff(10882,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10883,plain,
% 25.77/17.06 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10884,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 25.77/17.06 inference(monotonicity,[status(thm)],[10883])).
% 25.77/17.06 tff(10885,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 25.77/17.06 inference(transitivity,[status(thm)],[10884, 10882])).
% 25.77/17.06 tff(10886,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10887,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10886, 10885])).
% 25.77/17.06 tff(10888,plain,
% 25.77/17.06 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10887, 635, 10850])).
% 25.77/17.06 tff(10889,plain,
% 25.77/17.06 (v100(constB84) | (~v110(constB84))),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10888, 10881])).
% 25.77/17.06 tff(10890,plain,
% 25.77/17.06 (v100(constB84)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10889, 10858])).
% 25.77/17.06 tff(10891,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10892,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10893,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10892, 10891])).
% 25.77/17.06 tff(10894,plain,
% 25.77/17.06 (v130(constB83, bitIndex2)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10893, 2066, 10814])).
% 25.77/17.06 tff(10895,plain,
% 25.77/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10896,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10897,plain,
% 25.77/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 25.77/17.06 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 25.77/17.06 tff(10898,plain,
% 25.77/17.06 ((~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10897, 1560, 10832])).
% 25.77/17.06 tff(10899,plain,
% 25.77/17.06 (v127(constB83, bitIndex2)),
% 25.77/17.06 inference(unit_resolution,[status(thm)],[10898, 10894])).
% 25.77/17.06 tff(10900,plain,
% 25.77/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 25.77/17.06 inference(rewrite,[status(thm)],[])).
% 25.77/17.06 tff(10901,plain,
% 25.77/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 25.77/17.06 inference(quant_inst,[status(thm)],[])).
% 25.77/17.06 tff(10902,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 25.77/17.07 tff(10903,plain,
% 25.77/17.07 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10902, 1575, 10850])).
% 25.77/17.07 tff(10904,plain,
% 25.77/17.07 (v129(constB84, bitIndex2)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10903, 10899])).
% 25.77/17.07 tff(10905,plain,
% 25.77/17.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10906,plain,
% 25.77/17.07 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10907,plain,
% 25.77/17.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10906])).
% 25.77/17.07 tff(10908,plain,
% 25.77/17.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10907, 10905])).
% 25.77/17.07 tff(10909,plain,
% 25.77/17.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10910,plain,
% 25.77/17.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 25.77/17.07 tff(10911,plain,
% 25.77/17.07 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10910, 1590, 10904])).
% 25.77/17.07 tff(10912,plain,
% 25.77/17.07 (v90(constB84, bitIndex2)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10911, 10890])).
% 25.77/17.07 tff(10913,plain,
% 25.77/17.07 ((~v1(constB85)) <=> (~v1(constB85))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10914,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 25.77/17.07 tff(10915,plain,
% 25.77/17.07 (~v1(constB85)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10914, 10913])).
% 25.77/17.07 tff(10916,plain,
% 25.77/17.07 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10917,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 25.77/17.07 tff(10918,plain,
% 25.77/17.07 (nextState(constB84, constB85)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10917, 10916])).
% 25.77/17.07 tff(10919,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10920,plain,
% 25.77/17.07 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10921,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10920])).
% 25.77/17.07 tff(10922,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10921, 10919])).
% 25.77/17.07 tff(10923,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10924,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 25.77/17.07 tff(10925,plain,
% 25.77/17.07 (~v101(constB85)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10924, 342, 10918, 10915])).
% 25.77/17.07 tff(10926,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10927,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10928,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 25.77/17.07 tff(10929,plain,
% 25.77/17.07 (v101(constB85) | (~v100(constB85))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10928, 359, 10918])).
% 25.77/17.07 tff(10930,plain,
% 25.77/17.07 (~v100(constB85)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10929, 10925])).
% 25.77/17.07 tff(10931,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10932,plain,
% 25.77/17.07 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10933,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10932])).
% 25.77/17.07 tff(10934,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10933, 10931])).
% 25.77/17.07 tff(10935,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10936,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 25.77/17.07 tff(10937,plain,
% 25.77/17.07 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10936, 1626, 10918])).
% 25.77/17.07 tff(10938,plain,
% 25.77/17.07 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10937, 10930])).
% 25.77/17.07 tff(10939,plain,
% 25.77/17.07 (v90(constB85, bitIndex2)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10938, 10912])).
% 25.77/17.07 tff(10940,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10941,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10942,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10941, 10940])).
% 25.77/17.07 tff(10943,plain,
% 25.77/17.07 (v130(constB83, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10942, 2122, 10814])).
% 25.77/17.07 tff(10944,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10945,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10946,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10945, 10944])).
% 25.77/17.07 tff(10947,plain,
% 25.77/17.07 ((~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10946, 1075, 10832])).
% 25.77/17.07 tff(10948,plain,
% 25.77/17.07 (v127(constB83, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10947, 10943])).
% 25.77/17.07 tff(10949,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10950,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10951,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 25.77/17.07 tff(10952,plain,
% 25.77/17.07 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10951, 1090, 10850])).
% 25.77/17.07 tff(10953,plain,
% 25.77/17.07 (v129(constB84, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10952, 10948])).
% 25.77/17.07 tff(10954,plain,
% 25.77/17.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10955,plain,
% 25.77/17.07 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10956,plain,
% 25.77/17.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10955])).
% 25.77/17.07 tff(10957,plain,
% 25.77/17.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10956, 10954])).
% 25.77/17.07 tff(10958,plain,
% 25.77/17.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10959,plain,
% 25.77/17.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 25.77/17.07 tff(10960,plain,
% 25.77/17.07 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10959, 1105, 10953])).
% 25.77/17.07 tff(10961,plain,
% 25.77/17.07 (v90(constB84, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10960, 10890])).
% 25.77/17.07 tff(10962,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10963,plain,
% 25.77/17.07 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10964,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10963])).
% 25.77/17.07 tff(10965,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10964, 10962])).
% 25.77/17.07 tff(10966,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10967,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10966, 10965])).
% 25.77/17.07 tff(10968,plain,
% 25.77/17.07 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10967, 1123, 10918])).
% 25.77/17.07 tff(10969,plain,
% 25.77/17.07 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10968, 10930])).
% 25.77/17.07 tff(10970,plain,
% 25.77/17.07 (v90(constB85, bitIndex1)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10969, 10961])).
% 25.77/17.07 tff(10971,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10972,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10973,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 25.77/17.07 tff(10974,plain,
% 25.77/17.07 (~v130(constB83, bitIndex0)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10973, 2160, 10814])).
% 25.77/17.07 tff(10975,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10976,plain,
% 25.77/17.07 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10977,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10976])).
% 25.77/17.07 tff(10978,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10977, 10975])).
% 25.77/17.07 tff(10979,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10980,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10979, 10978])).
% 25.77/17.07 tff(10981,plain,
% 25.77/17.07 ((~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10980, 1153, 10832])).
% 25.77/17.07 tff(10982,plain,
% 25.77/17.07 (~v127(constB83, bitIndex0)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10981, 10974])).
% 25.77/17.07 tff(10983,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10984,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10985,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10984, 10983])).
% 25.77/17.07 tff(10986,plain,
% 25.77/17.07 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10985, 1171, 10850])).
% 25.77/17.07 tff(10987,plain,
% 25.77/17.07 (~v129(constB84, bitIndex0)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10986, 10982])).
% 25.77/17.07 tff(10988,plain,
% 25.77/17.07 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10989,plain,
% 25.77/17.07 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10990,plain,
% 25.77/17.07 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10989])).
% 25.77/17.07 tff(10991,plain,
% 25.77/17.07 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10990, 10988])).
% 25.77/17.07 tff(10992,plain,
% 25.77/17.07 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(10993,plain,
% 25.77/17.07 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 25.77/17.07 tff(10994,plain,
% 25.77/17.07 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10993, 1186, 10987])).
% 25.77/17.07 tff(10995,plain,
% 25.77/17.07 (~v90(constB84, bitIndex0)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[10994, 10890])).
% 25.77/17.07 tff(10996,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10997,plain,
% 25.77/17.07 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(10998,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[10997])).
% 25.77/17.07 tff(10999,plain,
% 25.77/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 25.77/17.07 inference(transitivity,[status(thm)],[10998, 10996])).
% 25.77/17.07 tff(11000,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(11001,plain,
% 25.77/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[11000, 10999])).
% 25.77/17.07 tff(11002,plain,
% 25.77/17.07 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[11001, 416, 10918])).
% 25.77/17.07 tff(11003,plain,
% 25.77/17.07 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[11002, 10930])).
% 25.77/17.07 tff(11004,plain,
% 25.77/17.07 (~v90(constB85, bitIndex0)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[11003, 10995])).
% 25.77/17.07 tff(11005,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(11006,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(11007,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[11006, 11005])).
% 25.77/17.07 tff(11008,plain,
% 25.77/17.07 (v125(constB85)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[11007, 2204, 11004, 10970, 10939])).
% 25.77/17.07 tff(11009,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(11010,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(11011,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85)),
% 25.77/17.07 inference(modus_ponens,[status(thm)],[11010, 11009])).
% 25.77/17.07 tff(11012,plain,
% 25.77/17.07 (v113(constB85)),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[11011, 2215, 11008])).
% 25.77/17.07 tff(11013,assumption,(v26(constB85)), introduced(assumption)).
% 25.77/17.07 tff(11014,plain,
% 25.77/17.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 25.77/17.07 inference(quant_inst,[status(thm)],[])).
% 25.77/17.07 tff(11015,plain,
% 25.77/17.07 ($false),
% 25.77/17.07 inference(unit_resolution,[status(thm)],[11014, 120, 11013])).
% 25.77/17.07 tff(11016,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 25.77/17.07 tff(11017,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(11018,plain,
% 25.77/17.07 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 25.77/17.07 inference(rewrite,[status(thm)],[])).
% 25.77/17.07 tff(11019,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 25.77/17.07 inference(monotonicity,[status(thm)],[11018])).
% 25.77/17.07 tff(11020,plain,
% 25.77/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 25.77/17.08 inference(transitivity,[status(thm)],[11019, 11017])).
% 25.77/17.08 tff(11021,plain,
% 25.77/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 25.77/17.08 inference(quant_inst,[status(thm)],[])).
% 25.77/17.08 tff(11022,plain,
% 25.77/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11021, 11020])).
% 25.77/17.08 tff(11023,plain,
% 25.77/17.08 (v112(constB85) | (~v113(constB85))),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11022, 532, 11016])).
% 25.77/17.08 tff(11024,plain,
% 25.77/17.08 (v112(constB85)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11023, 11012])).
% 25.77/17.08 tff(11025,plain,
% 25.77/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11026,plain,
% 25.77/17.08 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11027,plain,
% 25.77/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 25.77/17.08 inference(monotonicity,[status(thm)],[11026])).
% 25.77/17.08 tff(11028,plain,
% 25.77/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 25.77/17.08 inference(transitivity,[status(thm)],[11027, 11025])).
% 25.77/17.08 tff(11029,plain,
% 25.77/17.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 25.77/17.08 inference(quant_inst,[status(thm)],[])).
% 25.77/17.08 tff(11030,plain,
% 25.77/17.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 25.77/17.08 tff(11031,plain,
% 25.77/17.08 (v108(constB85)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11030, 544, 11024])).
% 25.77/17.08 tff(11032,plain,
% 25.77/17.08 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11033,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 25.77/17.08 tff(11034,plain,
% 25.77/17.08 (nextState(constB85, constB86)),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 25.77/17.08 tff(11035,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11036,plain,
% 25.77/17.08 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11037,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 25.77/17.08 inference(monotonicity,[status(thm)],[11036])).
% 25.77/17.08 tff(11038,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 25.77/17.08 inference(transitivity,[status(thm)],[11037, 11035])).
% 25.77/17.08 tff(11039,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 25.77/17.08 inference(quant_inst,[status(thm)],[])).
% 25.77/17.08 tff(11040,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11039, 11038])).
% 25.77/17.08 tff(11041,plain,
% 25.77/17.08 (v110(constB86) | (~v108(constB85))),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11040, 564, 11034])).
% 25.77/17.08 tff(11042,plain,
% 25.77/17.08 (v110(constB86)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11041, 11031])).
% 25.77/17.08 tff(11043,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11044,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 25.77/17.08 inference(quant_inst,[status(thm)],[])).
% 25.77/17.08 tff(11045,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 25.77/17.08 tff(11046,plain,
% 25.77/17.08 (~v104(constB86)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11045, 582, 11034, 10915])).
% 25.77/17.08 tff(11047,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11048,plain,
% 25.77/17.08 (((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11049,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)))),
% 25.77/17.08 inference(monotonicity,[status(thm)],[11048])).
% 25.77/17.08 tff(11050,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86))),
% 25.77/17.08 inference(transitivity,[status(thm)],[11049, 11047])).
% 25.77/17.08 tff(11051,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 25.77/17.08 inference(quant_inst,[status(thm)],[])).
% 25.77/17.08 tff(11052,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | v102(constB86)),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 25.77/17.08 tff(11053,plain,
% 25.77/17.08 (v104(constB86) | v102(constB86)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11052, 596, 11034])).
% 25.77/17.08 tff(11054,plain,
% 25.77/17.08 (v102(constB86)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11053, 11046])).
% 25.77/17.08 tff(11055,plain,
% 25.77/17.08 (v1(constB86) <=> v1(constB86)),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11056,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 25.77/17.08 tff(11057,plain,
% 25.77/17.08 (v1(constB86)),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11056, 11055])).
% 25.77/17.08 tff(11058,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11059,plain,
% 25.77/17.08 (((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))) <=> ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11060,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))))),
% 25.77/17.08 inference(monotonicity,[status(thm)],[11059])).
% 25.77/17.08 tff(11061,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86)))),
% 25.77/17.08 inference(transitivity,[status(thm)],[11060, 11058])).
% 25.77/17.08 tff(11062,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 25.77/17.08 inference(quant_inst,[status(thm)],[])).
% 25.77/17.08 tff(11063,plain,
% 25.77/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | (~v1(constB86)) | v101(constB86) | (~v102(constB86))),
% 25.77/17.08 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 25.77/17.08 tff(11064,plain,
% 25.77/17.08 (v101(constB86) | (~v102(constB86))),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11063, 617, 11034, 11057])).
% 25.77/17.08 tff(11065,plain,
% 25.77/17.08 (v101(constB86)),
% 25.77/17.08 inference(unit_resolution,[status(thm)],[11064, 11054])).
% 25.77/17.08 tff(11066,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11067,plain,
% 25.77/17.08 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 25.77/17.08 inference(rewrite,[status(thm)],[])).
% 25.77/17.08 tff(11068,plain,
% 25.77/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 25.82/17.08 inference(monotonicity,[status(thm)],[11067])).
% 25.82/17.08 tff(11069,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 25.82/17.08 inference(transitivity,[status(thm)],[11068, 11066])).
% 25.82/17.08 tff(11070,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11071,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 25.82/17.08 tff(11072,plain,
% 25.82/17.08 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11071, 635, 11034])).
% 25.82/17.08 tff(11073,plain,
% 25.82/17.08 (v100(constB86) | (~v110(constB86))),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11072, 11065])).
% 25.82/17.08 tff(11074,plain,
% 25.82/17.08 (v100(constB86)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11073, 11042])).
% 25.82/17.08 tff(11075,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11076,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11077,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB85)) | (~v90(constB85, bitIndex1))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 25.82/17.08 tff(11078,plain,
% 25.82/17.08 (~v124(constB85)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11077, 2342, 10970])).
% 25.82/17.08 tff(11079,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB85)) | (~v90(constB85, bitIndex2)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11080,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB85)) | (~v90(constB85, bitIndex2)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11081,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB85)) | (~v90(constB85, bitIndex2))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11080, 11079])).
% 25.82/17.08 tff(11082,plain,
% 25.82/17.08 (~v122(constB85)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11081, 2298, 10939])).
% 25.82/17.08 tff(11083,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11084,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11085,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB85)) | (~v90(constB85, bitIndex1))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11084, 11083])).
% 25.82/17.08 tff(11086,plain,
% 25.82/17.08 (~v120(constB85)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11085, 2320, 10970])).
% 25.82/17.08 tff(11087,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11088,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11089,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11088, 11087])).
% 25.82/17.08 tff(11090,plain,
% 25.82/17.08 (~v119(constB85)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11089, 2309, 10970])).
% 25.82/17.08 tff(11091,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v90(constB85, bitIndex2)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11092,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB85)) | (~v90(constB85, bitIndex2)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11093,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB85)) | (~v90(constB85, bitIndex2))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11092, 11091])).
% 25.82/17.08 tff(11094,plain,
% 25.82/17.08 (~v121(constB85)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11093, 2287, 10939])).
% 25.82/17.08 tff(11095,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11096,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB85)) | (~v90(constB85, bitIndex1)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11097,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB85)) | (~v90(constB85, bitIndex1))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11096, 11095])).
% 25.82/17.08 tff(11098,plain,
% 25.82/17.08 (~v123(constB85)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11097, 2331, 10970])).
% 25.82/17.08 tff(11099,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11100,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11101,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 25.82/17.08 tff(11102,plain,
% 25.82/17.08 (~v130(constB85, bitIndex2)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11101, 2356, 11098, 11094, 11090, 11086, 11082, 11078])).
% 25.82/17.08 tff(11103,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11104,plain,
% 25.82/17.08 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11105,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 25.82/17.08 inference(monotonicity,[status(thm)],[11104])).
% 25.82/17.08 tff(11106,plain,
% 25.82/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 25.82/17.08 inference(transitivity,[status(thm)],[11105, 11103])).
% 25.82/17.08 tff(11107,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11108,plain,
% 25.82/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11107, 11106])).
% 25.82/17.08 tff(11109,plain,
% 25.82/17.08 ((~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11108, 665, 11016])).
% 25.82/17.08 tff(11110,plain,
% 25.82/17.08 (~v127(constB85, bitIndex2)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11109, 11102])).
% 25.82/17.08 tff(11111,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11112,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11113,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 25.82/17.08 tff(11114,plain,
% 25.82/17.08 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11113, 683, 11034])).
% 25.82/17.08 tff(11115,plain,
% 25.82/17.08 (~v129(constB86, bitIndex2)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11114, 11110])).
% 25.82/17.08 tff(11116,plain,
% 25.82/17.08 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11117,plain,
% 25.82/17.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11118,plain,
% 25.82/17.08 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 25.82/17.08 tff(11119,plain,
% 25.82/17.08 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11118, 698, 11115])).
% 25.82/17.08 tff(11120,plain,
% 25.82/17.08 (~v90(constB86, bitIndex2)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11119, 11074])).
% 25.82/17.08 tff(11121,plain,
% 25.82/17.08 ((~v1(constB87)) <=> (~v1(constB87))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11122,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 25.82/17.08 tff(11123,plain,
% 25.82/17.08 (~v1(constB87)),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11122, 11121])).
% 25.82/17.08 tff(11124,plain,
% 25.82/17.08 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11125,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 25.82/17.08 tff(11126,plain,
% 25.82/17.08 (nextState(constB86, constB87)),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 25.82/17.08 tff(11127,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11128,plain,
% 25.82/17.08 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11129,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 25.82/17.08 inference(monotonicity,[status(thm)],[11128])).
% 25.82/17.08 tff(11130,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 25.82/17.08 inference(transitivity,[status(thm)],[11129, 11127])).
% 25.82/17.08 tff(11131,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11132,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 25.82/17.08 tff(11133,plain,
% 25.82/17.08 (~v101(constB87)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11132, 342, 11126, 11123])).
% 25.82/17.08 tff(11134,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11135,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11136,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11135, 11134])).
% 25.82/17.08 tff(11137,plain,
% 25.82/17.08 (v101(constB87) | (~v100(constB87))),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11136, 359, 11126])).
% 25.82/17.08 tff(11138,plain,
% 25.82/17.08 (~v100(constB87)),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11137, 11133])).
% 25.82/17.08 tff(11139,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11140,plain,
% 25.82/17.08 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 25.82/17.08 inference(rewrite,[status(thm)],[])).
% 25.82/17.08 tff(11141,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 25.82/17.08 inference(monotonicity,[status(thm)],[11140])).
% 25.82/17.08 tff(11142,plain,
% 25.82/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 25.82/17.08 inference(transitivity,[status(thm)],[11141, 11139])).
% 25.82/17.08 tff(11143,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 25.82/17.08 inference(quant_inst,[status(thm)],[])).
% 25.82/17.08 tff(11144,plain,
% 25.82/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 25.82/17.08 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 25.82/17.08 tff(11145,plain,
% 25.82/17.08 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 25.82/17.08 inference(unit_resolution,[status(thm)],[11144, 374, 11126])).
% 25.82/17.09 tff(11146,plain,
% 25.82/17.09 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11145, 11138])).
% 25.82/17.09 tff(11147,plain,
% 25.82/17.09 (~v90(constB87, bitIndex2)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11146, 11120])).
% 25.82/17.09 tff(11148,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11149,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11150,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 25.82/17.09 tff(11151,plain,
% 25.82/17.09 (~v130(constB85, bitIndex1)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11150, 2415, 11098, 11094, 11090, 11086, 11082, 11078])).
% 25.82/17.09 tff(11152,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11153,plain,
% 25.82/17.09 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11154,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11153])).
% 25.82/17.09 tff(11155,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11154, 11152])).
% 25.82/17.09 tff(11156,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11157,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 25.82/17.09 tff(11158,plain,
% 25.82/17.09 ((~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11157, 751, 11016])).
% 25.82/17.09 tff(11159,plain,
% 25.82/17.09 (~v127(constB85, bitIndex1)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11158, 11151])).
% 25.82/17.09 tff(11160,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11161,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11162,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11161, 11160])).
% 25.82/17.09 tff(11163,plain,
% 25.82/17.09 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11162, 769, 11034])).
% 25.82/17.09 tff(11164,plain,
% 25.82/17.09 (~v129(constB86, bitIndex1)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11163, 11159])).
% 25.82/17.09 tff(11165,plain,
% 25.82/17.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11166,plain,
% 25.82/17.09 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11167,plain,
% 25.82/17.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11166])).
% 25.82/17.09 tff(11168,plain,
% 25.82/17.09 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11167, 11165])).
% 25.82/17.09 tff(11169,plain,
% 25.82/17.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11170,plain,
% 25.82/17.09 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 25.82/17.09 tff(11171,plain,
% 25.82/17.09 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11170, 784, 11164])).
% 25.82/17.09 tff(11172,plain,
% 25.82/17.09 (~v90(constB86, bitIndex1)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11171, 11074])).
% 25.82/17.09 tff(11173,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11174,plain,
% 25.82/17.09 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11175,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11174])).
% 25.82/17.09 tff(11176,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11175, 11173])).
% 25.82/17.09 tff(11177,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11178,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 25.82/17.09 tff(11179,plain,
% 25.82/17.09 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11178, 395, 11126])).
% 25.82/17.09 tff(11180,plain,
% 25.82/17.09 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11179, 11138])).
% 25.82/17.09 tff(11181,plain,
% 25.82/17.09 (~v90(constB87, bitIndex1)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11180, 11172])).
% 25.82/17.09 tff(11182,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11183,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11184,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 25.82/17.09 tff(11185,plain,
% 25.82/17.09 (v130(constB85, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11184, 2459, 11098, 11094, 11090, 11086, 11082, 11078])).
% 25.82/17.09 tff(11186,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11187,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11188,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11187, 11186])).
% 25.82/17.09 tff(11189,plain,
% 25.82/17.09 ((~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11188, 822, 11016])).
% 25.82/17.09 tff(11190,plain,
% 25.82/17.09 (v127(constB85, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11189, 11185])).
% 25.82/17.09 tff(11191,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11192,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11193,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 25.82/17.09 tff(11194,plain,
% 25.82/17.09 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11193, 837, 11034])).
% 25.82/17.09 tff(11195,plain,
% 25.82/17.09 (v129(constB86, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11194, 11190])).
% 25.82/17.09 tff(11196,plain,
% 25.82/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11197,plain,
% 25.82/17.09 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11198,plain,
% 25.82/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11197])).
% 25.82/17.09 tff(11199,plain,
% 25.82/17.09 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11198, 11196])).
% 25.82/17.09 tff(11200,plain,
% 25.82/17.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11201,plain,
% 25.82/17.09 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11200, 11199])).
% 25.82/17.09 tff(11202,plain,
% 25.82/17.09 (v90(constB86, bitIndex0) | (~v100(constB86))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11201, 852, 11195])).
% 25.82/17.09 tff(11203,plain,
% 25.82/17.09 (v90(constB86, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11202, 11074])).
% 25.82/17.09 tff(11204,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11205,plain,
% 25.82/17.09 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11206,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11205])).
% 25.82/17.09 tff(11207,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11206, 11204])).
% 25.82/17.09 tff(11208,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11209,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11208, 11207])).
% 25.82/17.09 tff(11210,plain,
% 25.82/17.09 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11209, 870, 11126])).
% 25.82/17.09 tff(11211,plain,
% 25.82/17.09 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11210, 11138])).
% 25.82/17.09 tff(11212,plain,
% 25.82/17.09 (v90(constB87, bitIndex0)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11211, 11203])).
% 25.82/17.09 tff(11213,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11214,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11215,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 25.82/17.09 tff(11216,plain,
% 25.82/17.09 (v120(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11215, 889, 11212, 11181, 11147])).
% 25.82/17.09 tff(11217,assumption,(v120(constB87)), introduced(assumption)).
% 25.82/17.09 tff(11218,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11219,plain,
% 25.82/17.09 (((~v120(constB87)) | v118(constB87)) <=> (v118(constB87) | (~v120(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11220,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11219])).
% 25.82/17.09 tff(11221,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11220, 11218])).
% 25.82/17.09 tff(11222,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11223,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 25.82/17.09 tff(11224,plain,
% 25.82/17.09 (v118(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11223, 900, 11217])).
% 25.82/17.09 tff(11225,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11226,plain,
% 25.82/17.09 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11227,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11226])).
% 25.82/17.09 tff(11228,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11227, 11225])).
% 25.82/17.09 tff(11229,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11230,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11229, 11228])).
% 25.82/17.09 tff(11231,plain,
% 25.82/17.09 (v117(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11230, 462, 11224])).
% 25.82/17.09 tff(11232,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11233,plain,
% 25.82/17.09 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11234,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11233])).
% 25.82/17.09 tff(11235,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11234, 11232])).
% 25.82/17.09 tff(11236,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11237,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11236, 11235])).
% 25.82/17.09 tff(11238,plain,
% 25.82/17.09 (v116(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11237, 476, 11231])).
% 25.82/17.09 tff(11239,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11240,plain,
% 25.82/17.09 (((~v116(constB87)) | v115(constB87)) <=> (v115(constB87) | (~v116(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11241,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11240])).
% 25.82/17.09 tff(11242,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11241, 11239])).
% 25.82/17.09 tff(11243,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11244,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11243, 11242])).
% 25.82/17.09 tff(11245,plain,
% 25.82/17.09 (v115(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11244, 490, 11238])).
% 25.82/17.09 tff(11246,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11247,plain,
% 25.82/17.09 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11248,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11247])).
% 25.82/17.09 tff(11249,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11248, 11246])).
% 25.82/17.09 tff(11250,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11251,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11250, 11249])).
% 25.82/17.09 tff(11252,plain,
% 25.82/17.09 (v114(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11251, 504, 11245])).
% 25.82/17.09 tff(11253,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11254,plain,
% 25.82/17.09 (((~v114(constB87)) | v113(constB87)) <=> (v113(constB87) | (~v114(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11255,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11254])).
% 25.82/17.09 tff(11256,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11255, 11253])).
% 25.82/17.09 tff(11257,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11258,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 25.82/17.09 tff(11259,plain,
% 25.82/17.09 (v113(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11258, 518, 11252])).
% 25.82/17.09 tff(11260,assumption,(v26(constB87)), introduced(assumption)).
% 25.82/17.09 tff(11261,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11262,plain,
% 25.82/17.09 ($false),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11261, 120, 11260])).
% 25.82/17.09 tff(11263,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 25.82/17.09 tff(11264,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11265,plain,
% 25.82/17.09 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11266,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11265])).
% 25.82/17.09 tff(11267,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11266, 11264])).
% 25.82/17.09 tff(11268,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11269,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 25.82/17.09 tff(11270,plain,
% 25.82/17.09 (v112(constB87) | (~v113(constB87))),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11269, 532, 11263])).
% 25.82/17.09 tff(11271,plain,
% 25.82/17.09 (v112(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11270, 11259])).
% 25.82/17.09 tff(11272,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11273,plain,
% 25.82/17.09 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11274,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11273])).
% 25.82/17.09 tff(11275,plain,
% 25.82/17.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11274, 11272])).
% 25.82/17.09 tff(11276,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11277,plain,
% 25.82/17.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11276, 11275])).
% 25.82/17.09 tff(11278,plain,
% 25.82/17.09 (v108(constB87)),
% 25.82/17.09 inference(unit_resolution,[status(thm)],[11277, 544, 11271])).
% 25.82/17.09 tff(11279,plain,
% 25.82/17.09 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11280,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 25.82/17.09 tff(11281,plain,
% 25.82/17.09 (nextState(constB87, constB88)),
% 25.82/17.09 inference(modus_ponens,[status(thm)],[11280, 11279])).
% 25.82/17.09 tff(11282,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11283,plain,
% 25.82/17.09 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 25.82/17.09 inference(rewrite,[status(thm)],[])).
% 25.82/17.09 tff(11284,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 25.82/17.09 inference(monotonicity,[status(thm)],[11283])).
% 25.82/17.09 tff(11285,plain,
% 25.82/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 25.82/17.09 inference(transitivity,[status(thm)],[11284, 11282])).
% 25.82/17.09 tff(11286,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 25.82/17.09 inference(quant_inst,[status(thm)],[])).
% 25.82/17.09 tff(11287,plain,
% 25.82/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 25.82/17.10 tff(11288,plain,
% 25.82/17.10 (v110(constB88) | (~v108(constB87))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11287, 564, 11281])).
% 25.82/17.10 tff(11289,plain,
% 25.82/17.10 (v110(constB88)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11288, 11278])).
% 25.82/17.10 tff(11290,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11291,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11292,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 25.82/17.10 tff(11293,plain,
% 25.82/17.10 (~v104(constB88)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11292, 582, 11281, 11123])).
% 25.82/17.10 tff(11294,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11295,plain,
% 25.82/17.10 (((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11296,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11295])).
% 25.82/17.10 tff(11297,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11296, 11294])).
% 25.82/17.10 tff(11298,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11299,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | v102(constB88)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 25.82/17.10 tff(11300,plain,
% 25.82/17.10 (v104(constB88) | v102(constB88)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11299, 596, 11281])).
% 25.82/17.10 tff(11301,plain,
% 25.82/17.10 (v102(constB88)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11300, 11293])).
% 25.82/17.10 tff(11302,plain,
% 25.82/17.10 (v1(constB88) <=> v1(constB88)),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11303,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 25.82/17.10 tff(11304,plain,
% 25.82/17.10 (v1(constB88)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 25.82/17.10 tff(11305,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11306,plain,
% 25.82/17.10 (((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))) <=> ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11307,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11306])).
% 25.82/17.10 tff(11308,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88)))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11307, 11305])).
% 25.82/17.10 tff(11309,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11310,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | (~v1(constB88)) | v101(constB88) | (~v102(constB88))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 25.82/17.10 tff(11311,plain,
% 25.82/17.10 (v101(constB88) | (~v102(constB88))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11310, 617, 11281, 11304])).
% 25.82/17.10 tff(11312,plain,
% 25.82/17.10 (v101(constB88)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11311, 11301])).
% 25.82/17.10 tff(11313,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11314,plain,
% 25.82/17.10 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11315,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11314])).
% 25.82/17.10 tff(11316,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11315, 11313])).
% 25.82/17.10 tff(11317,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11318,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 25.82/17.10 tff(11319,plain,
% 25.82/17.10 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11318, 635, 11281])).
% 25.82/17.10 tff(11320,plain,
% 25.82/17.10 (v100(constB88) | (~v110(constB88))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11319, 11312])).
% 25.82/17.10 tff(11321,plain,
% 25.82/17.10 (v100(constB88)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11320, 11289])).
% 25.82/17.10 tff(11322,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11323,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11324,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11323, 11322])).
% 25.82/17.10 tff(11325,plain,
% 25.82/17.10 (~v130(constB87, bitIndex0)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11324, 1139, 11217])).
% 25.82/17.10 tff(11326,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11327,plain,
% 25.82/17.10 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11328,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11327])).
% 25.82/17.10 tff(11329,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11328, 11326])).
% 25.82/17.10 tff(11330,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11331,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11330, 11329])).
% 25.82/17.10 tff(11332,plain,
% 25.82/17.10 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11331, 1153, 11263])).
% 25.82/17.10 tff(11333,plain,
% 25.82/17.10 (~v127(constB87, bitIndex0)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11332, 11325])).
% 25.82/17.10 tff(11334,assumption,(~v121(constB89)), introduced(assumption)).
% 25.82/17.10 tff(11335,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11336,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11337,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 25.82/17.10 tff(11338,plain,
% 25.82/17.10 (~v130(constB87, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11337, 1005, 11217])).
% 25.82/17.10 tff(11339,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11340,plain,
% 25.82/17.10 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11341,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11340])).
% 25.82/17.10 tff(11342,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11341, 11339])).
% 25.82/17.10 tff(11343,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11344,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 25.82/17.10 tff(11345,plain,
% 25.82/17.10 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11344, 665, 11263])).
% 25.82/17.10 tff(11346,plain,
% 25.82/17.10 (~v127(constB87, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11345, 11338])).
% 25.82/17.10 tff(11347,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11348,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11349,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 25.82/17.10 tff(11350,plain,
% 25.82/17.10 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11349, 683, 11281])).
% 25.82/17.10 tff(11351,plain,
% 25.82/17.10 (~v129(constB88, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11350, 11346])).
% 25.82/17.10 tff(11352,plain,
% 25.82/17.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11353,plain,
% 25.82/17.10 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11354,plain,
% 25.82/17.10 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 25.82/17.10 tff(11355,plain,
% 25.82/17.10 ((~v90(constB88, bitIndex2)) | (~v100(constB88))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11354, 698, 11351])).
% 25.82/17.10 tff(11356,plain,
% 25.82/17.10 (~v90(constB88, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11355, 11321])).
% 25.82/17.10 tff(11357,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11358,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11359,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 25.82/17.10 tff(11360,plain,
% 25.82/17.10 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11359, 1171, 11281])).
% 25.82/17.10 tff(11361,plain,
% 25.82/17.10 (~v129(constB88, bitIndex0)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11360, 11333])).
% 25.82/17.10 tff(11362,plain,
% 25.82/17.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11363,plain,
% 25.82/17.10 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11364,plain,
% 25.82/17.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11363])).
% 25.82/17.10 tff(11365,plain,
% 25.82/17.10 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11364, 11362])).
% 25.82/17.10 tff(11366,plain,
% 25.82/17.10 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11367,plain,
% 25.82/17.10 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11366, 11365])).
% 25.82/17.10 tff(11368,plain,
% 25.82/17.10 ((~v90(constB88, bitIndex0)) | (~v100(constB88))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11367, 1186, 11361])).
% 25.82/17.10 tff(11369,plain,
% 25.82/17.10 (~v90(constB88, bitIndex0)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11368, 11321])).
% 25.82/17.10 tff(11370,plain,
% 25.82/17.10 ((~v1(constB89)) <=> (~v1(constB89))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11371,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 25.82/17.10 tff(11372,plain,
% 25.82/17.10 (~v1(constB89)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11371, 11370])).
% 25.82/17.10 tff(11373,plain,
% 25.82/17.10 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11374,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 25.82/17.10 tff(11375,plain,
% 25.82/17.10 (nextState(constB88, constB89)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11374, 11373])).
% 25.82/17.10 tff(11376,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11377,plain,
% 25.82/17.10 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11378,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11377])).
% 25.82/17.10 tff(11379,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11378, 11376])).
% 25.82/17.10 tff(11380,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11381,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 25.82/17.10 tff(11382,plain,
% 25.82/17.10 (~v101(constB89)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11381, 342, 11375, 11372])).
% 25.82/17.10 tff(11383,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11384,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11385,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 25.82/17.10 tff(11386,plain,
% 25.82/17.10 (v101(constB89) | (~v100(constB89))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11385, 359, 11375])).
% 25.82/17.10 tff(11387,plain,
% 25.82/17.10 (~v100(constB89)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11386, 11382])).
% 25.82/17.10 tff(11388,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11389,plain,
% 25.82/17.10 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11390,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11389])).
% 25.82/17.10 tff(11391,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11390, 11388])).
% 25.82/17.10 tff(11392,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11393,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11392, 11391])).
% 25.82/17.10 tff(11394,plain,
% 25.82/17.10 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11393, 416, 11375])).
% 25.82/17.10 tff(11395,plain,
% 25.82/17.10 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11394, 11387])).
% 25.82/17.10 tff(11396,plain,
% 25.82/17.10 (~v90(constB89, bitIndex0)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11395, 11369])).
% 25.82/17.10 tff(11397,assumption,(~v127(constB87, bitIndex0)), introduced(assumption)).
% 25.82/17.10 tff(11398,assumption,(~v90(constB88, bitIndex2)), introduced(assumption)).
% 25.82/17.10 tff(11399,assumption,(v100(constB88)), introduced(assumption)).
% 25.82/17.10 tff(11400,plain,
% 25.82/17.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11401,plain,
% 25.82/17.10 ((v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11402,plain,
% 25.82/17.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88))))),
% 25.82/17.10 inference(monotonicity,[status(thm)],[11401])).
% 25.82/17.10 tff(11403,plain,
% 25.82/17.10 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88)))),
% 25.82/17.10 inference(transitivity,[status(thm)],[11402, 11400])).
% 25.82/17.10 tff(11404,plain,
% 25.82/17.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~v100(constB88)) | (~v129(constB88, bitIndex2)))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11405,plain,
% 25.82/17.10 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2)) | (~v100(constB88))),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 25.82/17.10 tff(11406,plain,
% 25.82/17.10 (v90(constB88, bitIndex2) | (~v129(constB88, bitIndex2))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11405, 1590, 11399])).
% 25.82/17.10 tff(11407,plain,
% 25.82/17.10 (~v129(constB88, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11406, 11398])).
% 25.82/17.10 tff(11408,plain,
% 25.82/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11409,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11410,plain,
% 25.82/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 25.82/17.10 tff(11411,plain,
% 25.82/17.10 ((~v127(constB87, bitIndex2)) | v129(constB88, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11410, 1575, 11281])).
% 25.82/17.10 tff(11412,plain,
% 25.82/17.10 (~v127(constB87, bitIndex2)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11411, 11407])).
% 25.82/17.10 tff(11413,assumption,(~v26(constB87)), introduced(assumption)).
% 25.82/17.10 tff(11414,assumption,(~v127(constB87, bitIndex1)), introduced(assumption)).
% 25.82/17.10 tff(11415,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11416,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11417,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11416, 11415])).
% 25.82/17.10 tff(11418,plain,
% 25.82/17.10 (v26(constB87) | (~v130(constB87, bitIndex1))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11417, 1075, 11414])).
% 25.82/17.10 tff(11419,plain,
% 25.82/17.10 (~v130(constB87, bitIndex1)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11418, 11413])).
% 25.82/17.10 tff(11420,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB87)) | v130(constB87, bitIndex1))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11421,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB87)) | v130(constB87, bitIndex1))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11422,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB87)) | v130(constB87, bitIndex1)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11421, 11420])).
% 25.82/17.10 tff(11423,plain,
% 25.82/17.10 (~v124(constB87)),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11422, 2122, 11419])).
% 25.82/17.10 tff(11424,plain,
% 25.82/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))),
% 25.82/17.10 inference(rewrite,[status(thm)],[])).
% 25.82/17.10 tff(11425,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0))),
% 25.82/17.10 inference(quant_inst,[status(thm)],[])).
% 25.82/17.10 tff(11426,plain,
% 25.82/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB87) | (~v130(constB87, bitIndex0)) | v127(constB87, bitIndex0)),
% 25.82/17.10 inference(modus_ponens,[status(thm)],[11425, 11424])).
% 25.82/17.10 tff(11427,plain,
% 25.82/17.10 (v26(constB87) | (~v130(constB87, bitIndex0))),
% 25.82/17.10 inference(unit_resolution,[status(thm)],[11426, 822, 11397])).
% 25.82/17.11 tff(11428,plain,
% 25.82/17.11 (~v130(constB87, bitIndex0)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11427, 11413])).
% 25.82/17.11 tff(11429,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB87)) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11430,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB87)) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11431,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB87)) | v130(constB87, bitIndex0)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 25.82/17.11 tff(11432,plain,
% 25.82/17.11 (~v123(constB87)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11431, 1934, 11428])).
% 25.82/17.11 tff(11433,assumption,(~v127(constB87, bitIndex2)), introduced(assumption)).
% 25.82/17.11 tff(11434,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11435,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11436,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB87) | (~v130(constB87, bitIndex2)) | v127(constB87, bitIndex2)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11435, 11434])).
% 25.82/17.11 tff(11437,plain,
% 25.82/17.11 (v26(constB87) | (~v130(constB87, bitIndex2))),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11436, 1560, 11433])).
% 25.82/17.11 tff(11438,plain,
% 25.82/17.11 (~v130(constB87, bitIndex2)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11437, 11413])).
% 25.82/17.11 tff(11439,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB87)) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB87)) | v130(constB87, bitIndex2))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11440,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB87)) | v130(constB87, bitIndex2))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11441,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB87)) | v130(constB87, bitIndex2)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 25.82/17.11 tff(11442,plain,
% 25.82/17.11 (~v122(constB87)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11441, 1546, 11438])).
% 25.82/17.11 tff(11443,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB87)) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11444,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB87)) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11445,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB87)) | v130(constB87, bitIndex0)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 25.82/17.11 tff(11446,plain,
% 25.82/17.11 (~v121(constB87)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11445, 1413, 11428])).
% 25.82/17.11 tff(11447,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB87)) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB87)) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11448,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB87)) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11449,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB87)) | v130(constB87, bitIndex0)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 25.82/17.11 tff(11450,plain,
% 25.82/17.11 (~v119(constB87)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11449, 808, 11428])).
% 25.82/17.11 tff(11451,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11452,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11453,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11452, 11451])).
% 25.82/17.11 tff(11454,plain,
% 25.82/17.11 (~v120(constB87)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11453, 1061, 11419])).
% 25.82/17.11 tff(11455,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11456,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11457,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, bitIndex0)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 25.82/17.11 tff(11458,plain,
% 25.82/17.11 (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11457, 2459, 11428])).
% 25.82/17.11 tff(11459,plain,
% 25.82/17.11 ($false),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11458, 11454, 11450, 11446, 11442, 11432, 11423])).
% 25.82/17.11 tff(11460,plain,(v26(constB87) | v127(constB87, bitIndex2) | v127(constB87, bitIndex1) | v127(constB87, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.82/17.11 tff(11461,plain,
% 25.82/17.11 (v127(constB87, bitIndex2) | v127(constB87, bitIndex1) | v127(constB87, bitIndex0)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11460, 11263])).
% 25.82/17.11 tff(11462,plain,
% 25.82/17.11 (v127(constB87, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11461, 11412, 11397])).
% 25.82/17.11 tff(11463,assumption,(~v90(constB89, bitIndex0)), introduced(assumption)).
% 25.82/17.11 tff(11464,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11465,plain,
% 25.82/17.11 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11466,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11465])).
% 25.82/17.11 tff(11467,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11466, 11464])).
% 25.82/17.11 tff(11468,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11469,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 25.82/17.11 tff(11470,plain,
% 25.82/17.11 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11469, 374, 11375])).
% 25.82/17.11 tff(11471,plain,
% 25.82/17.11 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11470, 11387])).
% 25.82/17.11 tff(11472,plain,
% 25.82/17.11 (~v90(constB89, bitIndex2)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11471, 11398])).
% 25.82/17.11 tff(11473,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11474,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11475,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11474, 11473])).
% 25.82/17.11 tff(11476,plain,
% 25.82/17.11 (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11475, 1213, 11334])).
% 25.82/17.11 tff(11477,plain,
% 25.82/17.11 (~v90(constB89, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11476, 11472, 11463])).
% 25.82/17.11 tff(11478,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11479,plain,
% 25.82/17.11 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11480,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11479])).
% 25.82/17.11 tff(11481,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11480, 11478])).
% 25.82/17.11 tff(11482,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11483,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11482, 11481])).
% 25.82/17.11 tff(11484,plain,
% 25.82/17.11 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11483, 1123, 11375])).
% 25.82/17.11 tff(11485,plain,
% 25.82/17.11 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11484, 11387])).
% 25.82/17.11 tff(11486,plain,
% 25.82/17.11 (~v90(constB88, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11485, 11477])).
% 25.82/17.11 tff(11487,plain,
% 25.82/17.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11488,plain,
% 25.82/17.11 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11489,plain,
% 25.82/17.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11488])).
% 25.82/17.11 tff(11490,plain,
% 25.82/17.11 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11489, 11487])).
% 25.82/17.11 tff(11491,plain,
% 25.82/17.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11492,plain,
% 25.82/17.11 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 25.82/17.11 tff(11493,plain,
% 25.82/17.11 (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11492, 1105, 11399])).
% 25.82/17.11 tff(11494,plain,
% 25.82/17.11 (~v129(constB88, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11493, 11486])).
% 25.82/17.11 tff(11495,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11496,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11497,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 25.82/17.11 tff(11498,plain,
% 25.82/17.11 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11497, 1090, 11281])).
% 25.82/17.11 tff(11499,plain,
% 25.82/17.11 ($false),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11498, 11494, 11462])).
% 25.82/17.11 tff(11500,plain,(v90(constB88, bitIndex2) | (~v100(constB88)) | v127(constB87, bitIndex0) | v90(constB89, bitIndex0) | v121(constB89)), inference(lemma,lemma(discharge,[]))).
% 25.82/17.11 tff(11501,plain,
% 25.82/17.11 ($false),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11500, 11396, 11356, 11334, 11333, 11321])).
% 25.82/17.11 tff(11502,plain,((~v120(constB87)) | v121(constB89)), inference(lemma,lemma(discharge,[]))).
% 25.82/17.11 tff(11503,plain,
% 25.82/17.11 (v121(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11502, 11216])).
% 25.82/17.11 tff(11504,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11505,plain,
% 25.82/17.11 (((~v121(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v121(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11506,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11505])).
% 25.82/17.11 tff(11507,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11506, 11504])).
% 25.82/17.11 tff(11508,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11509,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11508, 11507])).
% 25.82/17.11 tff(11510,plain,
% 25.82/17.11 (v117(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11509, 1224, 11503])).
% 25.82/17.11 tff(11511,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11512,plain,
% 25.82/17.11 (((~v117(constB89)) | v116(constB89)) <=> (v116(constB89) | (~v117(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11513,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11512])).
% 25.82/17.11 tff(11514,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11513, 11511])).
% 25.82/17.11 tff(11515,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11516,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 25.82/17.11 tff(11517,plain,
% 25.82/17.11 (v116(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11516, 476, 11510])).
% 25.82/17.11 tff(11518,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11519,plain,
% 25.82/17.11 (((~v116(constB89)) | v115(constB89)) <=> (v115(constB89) | (~v116(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11520,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11519])).
% 25.82/17.11 tff(11521,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11520, 11518])).
% 25.82/17.11 tff(11522,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11523,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11522, 11521])).
% 25.82/17.11 tff(11524,plain,
% 25.82/17.11 (v115(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11523, 490, 11517])).
% 25.82/17.11 tff(11525,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11526,plain,
% 25.82/17.11 (((~v115(constB89)) | v114(constB89)) <=> (v114(constB89) | (~v115(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11527,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11526])).
% 25.82/17.11 tff(11528,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11527, 11525])).
% 25.82/17.11 tff(11529,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11530,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11529, 11528])).
% 25.82/17.11 tff(11531,plain,
% 25.82/17.11 (v114(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11530, 504, 11524])).
% 25.82/17.11 tff(11532,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11533,plain,
% 25.82/17.11 (((~v114(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v114(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11534,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11533])).
% 25.82/17.11 tff(11535,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11534, 11532])).
% 25.82/17.11 tff(11536,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11537,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 25.82/17.11 tff(11538,plain,
% 25.82/17.11 (v113(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11537, 518, 11531])).
% 25.82/17.11 tff(11539,assumption,(~v108(constB89)), introduced(assumption)).
% 25.82/17.11 tff(11540,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11541,plain,
% 25.82/17.11 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11542,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11541])).
% 25.82/17.11 tff(11543,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11542, 11540])).
% 25.82/17.11 tff(11544,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11545,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 25.82/17.11 tff(11546,plain,
% 25.82/17.11 (~v112(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11545, 544, 11539])).
% 25.82/17.11 tff(11547,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11548,plain,
% 25.82/17.11 (((~v26(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v26(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11549,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11548])).
% 25.82/17.11 tff(11550,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11549, 11547])).
% 25.82/17.11 tff(11551,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11552,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11551, 11550])).
% 25.82/17.11 tff(11553,plain,
% 25.82/17.11 (~v26(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11552, 1770, 11539])).
% 25.82/17.11 tff(11554,assumption,(v113(constB89)), introduced(assumption)).
% 25.82/17.11 tff(11555,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11556,plain,
% 25.82/17.11 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11557,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11556])).
% 25.82/17.11 tff(11558,plain,
% 25.82/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11557, 11555])).
% 25.82/17.11 tff(11559,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11560,plain,
% 25.82/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11559, 11558])).
% 25.82/17.11 tff(11561,plain,
% 25.82/17.11 (v26(constB89) | v112(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11560, 532, 11554])).
% 25.82/17.11 tff(11562,plain,
% 25.82/17.11 ($false),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11561, 11553, 11546])).
% 25.82/17.11 tff(11563,plain,(v108(constB89) | (~v113(constB89))), inference(lemma,lemma(discharge,[]))).
% 25.82/17.11 tff(11564,plain,
% 25.82/17.11 (v108(constB89)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11563, 11538])).
% 25.82/17.11 tff(11565,plain,
% 25.82/17.11 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11566,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 25.82/17.11 tff(11567,plain,
% 25.82/17.11 (nextState(constB89, constB90)),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11566, 11565])).
% 25.82/17.11 tff(11568,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11569,plain,
% 25.82/17.11 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11570,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 25.82/17.11 inference(monotonicity,[status(thm)],[11569])).
% 25.82/17.11 tff(11571,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 25.82/17.11 inference(transitivity,[status(thm)],[11570, 11568])).
% 25.82/17.11 tff(11572,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11573,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11572, 11571])).
% 25.82/17.11 tff(11574,plain,
% 25.82/17.11 (v110(constB90) | (~v108(constB89))),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11573, 564, 11567])).
% 25.82/17.11 tff(11575,plain,
% 25.82/17.11 (v110(constB90)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11574, 11564])).
% 25.82/17.11 tff(11576,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11577,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 25.82/17.11 inference(quant_inst,[status(thm)],[])).
% 25.82/17.11 tff(11578,plain,
% 25.82/17.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 25.82/17.11 inference(modus_ponens,[status(thm)],[11577, 11576])).
% 25.82/17.11 tff(11579,plain,
% 25.82/17.11 (~v104(constB90)),
% 25.82/17.11 inference(unit_resolution,[status(thm)],[11578, 582, 11567, 11372])).
% 25.82/17.11 tff(11580,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11581,plain,
% 25.82/17.11 (((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 25.82/17.11 inference(rewrite,[status(thm)],[])).
% 25.82/17.11 tff(11582,plain,
% 25.82/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11581])).
% 25.82/17.12 tff(11583,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11582, 11580])).
% 25.82/17.12 tff(11584,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11585,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | v102(constB90)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11584, 11583])).
% 25.82/17.12 tff(11586,plain,
% 25.82/17.12 (v104(constB90) | v102(constB90)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11585, 596, 11567])).
% 25.82/17.12 tff(11587,plain,
% 25.82/17.12 (v102(constB90)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11586, 11579])).
% 25.82/17.12 tff(11588,plain,
% 25.82/17.12 (v1(constB90) <=> v1(constB90)),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11589,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 25.82/17.12 tff(11590,plain,
% 25.82/17.12 (v1(constB90)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 25.82/17.12 tff(11591,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11592,plain,
% 25.82/17.12 (((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))) <=> ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11593,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11592])).
% 25.82/17.12 tff(11594,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90)))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11593, 11591])).
% 25.82/17.12 tff(11595,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11596,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | (~v1(constB90)) | v101(constB90) | (~v102(constB90))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 25.82/17.12 tff(11597,plain,
% 25.82/17.12 (v101(constB90) | (~v102(constB90))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11596, 617, 11567, 11590])).
% 25.82/17.12 tff(11598,plain,
% 25.82/17.12 (v101(constB90)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11597, 11587])).
% 25.82/17.12 tff(11599,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11600,plain,
% 25.82/17.12 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11601,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11600])).
% 25.82/17.12 tff(11602,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11601, 11599])).
% 25.82/17.12 tff(11603,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11604,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 25.82/17.12 tff(11605,plain,
% 25.82/17.12 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11604, 635, 11567])).
% 25.82/17.12 tff(11606,plain,
% 25.82/17.12 (v100(constB90) | (~v110(constB90))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11605, 11598])).
% 25.82/17.12 tff(11607,plain,
% 25.82/17.12 (v100(constB90)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11606, 11575])).
% 25.82/17.12 tff(11608,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11609,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11610,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11609, 11608])).
% 25.82/17.12 tff(11611,plain,
% 25.82/17.12 (~v130(constB89, bitIndex2)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11610, 1325, 11503])).
% 25.82/17.12 tff(11612,assumption,(v26(constB89)), introduced(assumption)).
% 25.82/17.12 tff(11613,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11614,plain,
% 25.82/17.12 ($false),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11613, 120, 11612])).
% 25.82/17.12 tff(11615,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 25.82/17.12 tff(11616,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11617,plain,
% 25.82/17.12 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11618,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11617])).
% 25.82/17.12 tff(11619,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11618, 11616])).
% 25.82/17.12 tff(11620,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11621,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 25.82/17.12 tff(11622,plain,
% 25.82/17.12 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11621, 665, 11615])).
% 25.82/17.12 tff(11623,plain,
% 25.82/17.12 (~v127(constB89, bitIndex2)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11622, 11611])).
% 25.82/17.12 tff(11624,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11625,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11626,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11625, 11624])).
% 25.82/17.12 tff(11627,plain,
% 25.82/17.12 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11626, 683, 11567])).
% 25.82/17.12 tff(11628,plain,
% 25.82/17.12 (~v129(constB90, bitIndex2)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11627, 11623])).
% 25.82/17.12 tff(11629,plain,
% 25.82/17.12 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11630,plain,
% 25.82/17.12 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11631,plain,
% 25.82/17.12 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 25.82/17.12 tff(11632,plain,
% 25.82/17.12 ((~v90(constB90, bitIndex2)) | (~v100(constB90))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11631, 698, 11628])).
% 25.82/17.12 tff(11633,plain,
% 25.82/17.12 (~v90(constB90, bitIndex2)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11632, 11607])).
% 25.82/17.12 tff(11634,plain,
% 25.82/17.12 ((~v1(constB91)) <=> (~v1(constB91))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11635,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 25.82/17.12 tff(11636,plain,
% 25.82/17.12 (~v1(constB91)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 25.82/17.12 tff(11637,plain,
% 25.82/17.12 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11638,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 25.82/17.12 tff(11639,plain,
% 25.82/17.12 (nextState(constB90, constB91)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11638, 11637])).
% 25.82/17.12 tff(11640,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11641,plain,
% 25.82/17.12 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11642,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11641])).
% 25.82/17.12 tff(11643,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11642, 11640])).
% 25.82/17.12 tff(11644,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11645,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11644, 11643])).
% 25.82/17.12 tff(11646,plain,
% 25.82/17.12 (~v101(constB91)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11645, 342, 11639, 11636])).
% 25.82/17.12 tff(11647,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11648,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11649,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11648, 11647])).
% 25.82/17.12 tff(11650,plain,
% 25.82/17.12 (v101(constB91) | (~v100(constB91))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11649, 359, 11639])).
% 25.82/17.12 tff(11651,plain,
% 25.82/17.12 (~v100(constB91)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11650, 11646])).
% 25.82/17.12 tff(11652,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11653,plain,
% 25.82/17.12 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11654,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11653])).
% 25.82/17.12 tff(11655,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11654, 11652])).
% 25.82/17.12 tff(11656,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11657,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11656, 11655])).
% 25.82/17.12 tff(11658,plain,
% 25.82/17.12 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11657, 374, 11639])).
% 25.82/17.12 tff(11659,plain,
% 25.82/17.12 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11658, 11651])).
% 25.82/17.12 tff(11660,plain,
% 25.82/17.12 (~v90(constB91, bitIndex2)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11659, 11633])).
% 25.82/17.12 tff(11661,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11662,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11663,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11662, 11661])).
% 25.82/17.12 tff(11664,plain,
% 25.82/17.12 (v130(constB89, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11663, 1375, 11503])).
% 25.82/17.12 tff(11665,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11666,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11667,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 25.82/17.12 tff(11668,plain,
% 25.82/17.12 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11667, 1075, 11615])).
% 25.82/17.12 tff(11669,plain,
% 25.82/17.12 (v127(constB89, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11668, 11664])).
% 25.82/17.12 tff(11670,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11671,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11672,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11671, 11670])).
% 25.82/17.12 tff(11673,plain,
% 25.82/17.12 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11672, 1090, 11567])).
% 25.82/17.12 tff(11674,plain,
% 25.82/17.12 (v129(constB90, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11673, 11669])).
% 25.82/17.12 tff(11675,plain,
% 25.82/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11676,plain,
% 25.82/17.12 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11677,plain,
% 25.82/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11676])).
% 25.82/17.12 tff(11678,plain,
% 25.82/17.12 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11677, 11675])).
% 25.82/17.12 tff(11679,plain,
% 25.82/17.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11680,plain,
% 25.82/17.12 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11679, 11678])).
% 25.82/17.12 tff(11681,plain,
% 25.82/17.12 (v90(constB90, bitIndex1) | (~v100(constB90))),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11680, 1105, 11674])).
% 25.82/17.12 tff(11682,plain,
% 25.82/17.12 (v90(constB90, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11681, 11607])).
% 25.82/17.12 tff(11683,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11684,plain,
% 25.82/17.12 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11685,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 25.82/17.12 inference(monotonicity,[status(thm)],[11684])).
% 25.82/17.12 tff(11686,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 25.82/17.12 inference(transitivity,[status(thm)],[11685, 11683])).
% 25.82/17.12 tff(11687,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11688,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11687, 11686])).
% 25.82/17.12 tff(11689,plain,
% 25.82/17.12 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11688, 1123, 11639])).
% 25.82/17.12 tff(11690,plain,
% 25.82/17.12 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11689, 11651])).
% 25.82/17.12 tff(11691,plain,
% 25.82/17.12 (v90(constB91, bitIndex1)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11690, 11682])).
% 25.82/17.12 tff(11692,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11693,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11694,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 25.82/17.12 tff(11695,plain,
% 25.82/17.12 (v130(constB89, bitIndex0)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11694, 1413, 11503])).
% 25.82/17.12 tff(11696,plain,
% 25.82/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11697,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11698,plain,
% 25.82/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 25.82/17.12 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 25.82/17.12 tff(11699,plain,
% 25.82/17.12 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11698, 822, 11615])).
% 25.82/17.12 tff(11700,plain,
% 25.82/17.12 (v127(constB89, bitIndex0)),
% 25.82/17.12 inference(unit_resolution,[status(thm)],[11699, 11695])).
% 25.82/17.12 tff(11701,plain,
% 25.82/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 25.82/17.12 inference(rewrite,[status(thm)],[])).
% 25.82/17.12 tff(11702,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 25.82/17.12 inference(quant_inst,[status(thm)],[])).
% 25.82/17.12 tff(11703,plain,
% 25.82/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 25.82/17.13 tff(11704,plain,
% 25.82/17.13 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11703, 837, 11567])).
% 25.82/17.13 tff(11705,plain,
% 25.82/17.13 (v129(constB90, bitIndex0)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11704, 11700])).
% 25.82/17.13 tff(11706,plain,
% 25.82/17.13 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11707,plain,
% 25.82/17.13 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11708,plain,
% 25.82/17.13 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11707])).
% 25.82/17.13 tff(11709,plain,
% 25.82/17.13 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11708, 11706])).
% 25.82/17.13 tff(11710,plain,
% 25.82/17.13 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11711,plain,
% 25.82/17.13 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 25.82/17.13 tff(11712,plain,
% 25.82/17.13 (v90(constB90, bitIndex0) | (~v100(constB90))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11711, 852, 11705])).
% 25.82/17.13 tff(11713,plain,
% 25.82/17.13 (v90(constB90, bitIndex0)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11712, 11607])).
% 25.82/17.13 tff(11714,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11715,plain,
% 25.82/17.13 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11716,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11715])).
% 25.82/17.13 tff(11717,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11716, 11714])).
% 25.82/17.13 tff(11718,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11719,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 25.82/17.13 tff(11720,plain,
% 25.82/17.13 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11719, 870, 11639])).
% 25.82/17.13 tff(11721,plain,
% 25.82/17.13 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11720, 11651])).
% 25.82/17.13 tff(11722,plain,
% 25.82/17.13 (v90(constB91, bitIndex0)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11721, 11713])).
% 25.82/17.13 tff(11723,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11724,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11725,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11724, 11723])).
% 25.82/17.13 tff(11726,plain,
% 25.82/17.13 (v122(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11725, 1454, 11722, 11691, 11660])).
% 25.82/17.13 tff(11727,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11728,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11729,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 25.82/17.13 tff(11730,plain,
% 25.82/17.13 (v116(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11729, 1465, 11726])).
% 25.82/17.13 tff(11731,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11732,plain,
% 25.82/17.13 (((~v116(constB91)) | v115(constB91)) <=> (v115(constB91) | (~v116(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11733,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11732])).
% 25.82/17.13 tff(11734,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11733, 11731])).
% 25.82/17.13 tff(11735,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11736,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11735, 11734])).
% 25.82/17.13 tff(11737,plain,
% 25.82/17.13 (v115(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11736, 490, 11730])).
% 25.82/17.13 tff(11738,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11739,plain,
% 25.82/17.13 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11740,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11739])).
% 25.82/17.13 tff(11741,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11740, 11738])).
% 25.82/17.13 tff(11742,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11743,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 25.82/17.13 tff(11744,plain,
% 25.82/17.13 (v114(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11743, 504, 11737])).
% 25.82/17.13 tff(11745,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB91)) | v113(constB91))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11746,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11747,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB91)) | v113(constB91)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 25.82/17.13 tff(11748,plain,
% 25.82/17.13 (v113(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11747, 518, 11744])).
% 25.82/17.13 tff(11749,assumption,(v26(constB91)), introduced(assumption)).
% 25.82/17.13 tff(11750,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11751,plain,
% 25.82/17.13 ($false),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11750, 120, 11749])).
% 25.82/17.13 tff(11752,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 25.82/17.13 tff(11753,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11754,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11755,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11754, 11753])).
% 25.82/17.13 tff(11756,plain,
% 25.82/17.13 ((~v113(constB91)) | v112(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11755, 532, 11752])).
% 25.82/17.13 tff(11757,plain,
% 25.82/17.13 (v112(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11756, 11748])).
% 25.82/17.13 tff(11758,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11759,plain,
% 25.82/17.13 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11760,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11759])).
% 25.82/17.13 tff(11761,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11760, 11758])).
% 25.82/17.13 tff(11762,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11763,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 25.82/17.13 tff(11764,plain,
% 25.82/17.13 (v108(constB91)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11763, 544, 11757])).
% 25.82/17.13 tff(11765,plain,
% 25.82/17.13 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11766,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 25.82/17.13 tff(11767,plain,
% 25.82/17.13 (nextState(constB91, constB92)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11766, 11765])).
% 25.82/17.13 tff(11768,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11769,plain,
% 25.82/17.13 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11770,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11769])).
% 25.82/17.13 tff(11771,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11770, 11768])).
% 25.82/17.13 tff(11772,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11773,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 25.82/17.13 tff(11774,plain,
% 25.82/17.13 (v110(constB92) | (~v108(constB91))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11773, 564, 11767])).
% 25.82/17.13 tff(11775,plain,
% 25.82/17.13 (v110(constB92)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11774, 11764])).
% 25.82/17.13 tff(11776,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11777,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11778,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 25.82/17.13 tff(11779,plain,
% 25.82/17.13 (~v104(constB92)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11778, 582, 11767, 11636])).
% 25.82/17.13 tff(11780,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11781,plain,
% 25.82/17.13 (((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11782,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11781])).
% 25.82/17.13 tff(11783,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11782, 11780])).
% 25.82/17.13 tff(11784,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11785,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | v102(constB92)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11784, 11783])).
% 25.82/17.13 tff(11786,plain,
% 25.82/17.13 (v104(constB92) | v102(constB92)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11785, 596, 11767])).
% 25.82/17.13 tff(11787,plain,
% 25.82/17.13 (v102(constB92)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11786, 11779])).
% 25.82/17.13 tff(11788,plain,
% 25.82/17.13 (v1(constB92) <=> v1(constB92)),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11789,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 25.82/17.13 tff(11790,plain,
% 25.82/17.13 (v1(constB92)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 25.82/17.13 tff(11791,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11792,plain,
% 25.82/17.13 (((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))) <=> ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11793,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11792])).
% 25.82/17.13 tff(11794,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11793, 11791])).
% 25.82/17.13 tff(11795,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11796,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | (~v1(constB92)) | v101(constB92) | (~v102(constB92))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11795, 11794])).
% 25.82/17.13 tff(11797,plain,
% 25.82/17.13 (v101(constB92) | (~v102(constB92))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11796, 617, 11767, 11790])).
% 25.82/17.13 tff(11798,plain,
% 25.82/17.13 (v101(constB92)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11797, 11787])).
% 25.82/17.13 tff(11799,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11800,plain,
% 25.82/17.13 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11801,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11800])).
% 25.82/17.13 tff(11802,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11801, 11799])).
% 25.82/17.13 tff(11803,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11804,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 25.82/17.13 tff(11805,plain,
% 25.82/17.13 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11804, 635, 11767])).
% 25.82/17.13 tff(11806,plain,
% 25.82/17.13 (v100(constB92) | (~v110(constB92))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11805, 11798])).
% 25.82/17.13 tff(11807,plain,
% 25.82/17.13 (v100(constB92)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11806, 11775])).
% 25.82/17.13 tff(11808,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11809,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11810,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 25.82/17.13 tff(11811,plain,
% 25.82/17.13 (~v130(constB91, bitIndex1)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11810, 1642, 11726])).
% 25.82/17.13 tff(11812,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11813,plain,
% 25.82/17.13 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11814,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11813])).
% 25.82/17.13 tff(11815,plain,
% 25.82/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11814, 11812])).
% 25.82/17.13 tff(11816,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11817,plain,
% 25.82/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 25.82/17.13 tff(11818,plain,
% 25.82/17.13 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11817, 751, 11752])).
% 25.82/17.13 tff(11819,plain,
% 25.82/17.13 (~v127(constB91, bitIndex1)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11818, 11811])).
% 25.82/17.13 tff(11820,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11821,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11822,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 25.82/17.13 tff(11823,plain,
% 25.82/17.13 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11822, 769, 11767])).
% 25.82/17.13 tff(11824,plain,
% 25.82/17.13 (~v129(constB92, bitIndex1)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11823, 11819])).
% 25.82/17.13 tff(11825,plain,
% 25.82/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11826,plain,
% 25.82/17.13 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11827,plain,
% 25.82/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11826])).
% 25.82/17.13 tff(11828,plain,
% 25.82/17.13 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11827, 11825])).
% 25.82/17.13 tff(11829,plain,
% 25.82/17.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11830,plain,
% 25.82/17.13 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 25.82/17.13 tff(11831,plain,
% 25.82/17.13 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11830, 784, 11824])).
% 25.82/17.13 tff(11832,plain,
% 25.82/17.13 (~v90(constB92, bitIndex1)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11831, 11807])).
% 25.82/17.13 tff(11833,plain,
% 25.82/17.13 ((~v1(constB93)) <=> (~v1(constB93))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11834,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 25.82/17.13 tff(11835,plain,
% 25.82/17.13 (~v1(constB93)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 25.82/17.13 tff(11836,plain,
% 25.82/17.13 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11837,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 25.82/17.13 tff(11838,plain,
% 25.82/17.13 (nextState(constB92, constB93)),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 25.82/17.13 tff(11839,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11840,plain,
% 25.82/17.13 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11841,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 25.82/17.13 inference(monotonicity,[status(thm)],[11840])).
% 25.82/17.13 tff(11842,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 25.82/17.13 inference(transitivity,[status(thm)],[11841, 11839])).
% 25.82/17.13 tff(11843,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 25.82/17.13 inference(quant_inst,[status(thm)],[])).
% 25.82/17.13 tff(11844,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 25.82/17.13 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 25.82/17.13 tff(11845,plain,
% 25.82/17.13 (~v101(constB93)),
% 25.82/17.13 inference(unit_resolution,[status(thm)],[11844, 342, 11838, 11835])).
% 25.82/17.13 tff(11846,plain,
% 25.82/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 25.82/17.13 inference(rewrite,[status(thm)],[])).
% 25.82/17.13 tff(11847,plain,
% 25.82/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11848,plain,
% 25.82/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11847, 11846])).
% 25.82/17.14 tff(11849,plain,
% 25.82/17.14 (v101(constB93) | (~v100(constB93))),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11848, 359, 11838])).
% 25.82/17.14 tff(11850,plain,
% 25.82/17.14 (~v100(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11849, 11845])).
% 25.82/17.14 tff(11851,plain,
% 25.82/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11852,plain,
% 25.82/17.14 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11853,plain,
% 25.82/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11852])).
% 25.82/17.14 tff(11854,plain,
% 25.82/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11853, 11851])).
% 25.82/17.14 tff(11855,plain,
% 25.82/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11856,plain,
% 25.82/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11855, 11854])).
% 25.82/17.14 tff(11857,plain,
% 25.82/17.14 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11856, 395, 11838])).
% 25.82/17.14 tff(11858,plain,
% 25.82/17.14 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11857, 11850])).
% 25.82/17.14 tff(11859,plain,
% 25.82/17.14 (~v90(constB93, bitIndex1)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11858, 11832])).
% 25.82/17.14 tff(11860,assumption,(~v114(constB93)), introduced(assumption)).
% 25.82/17.14 tff(11861,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11862,plain,
% 25.82/17.14 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11863,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11862])).
% 25.82/17.14 tff(11864,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11863, 11861])).
% 25.82/17.14 tff(11865,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11866,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11865, 11864])).
% 25.82/17.14 tff(11867,plain,
% 25.82/17.14 (~v115(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11866, 504, 11860])).
% 25.82/17.14 tff(11868,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v116(constB93)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v116(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11869,plain,
% 25.82/17.14 (((~v116(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v116(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11870,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v116(constB93))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11869])).
% 25.82/17.14 tff(11871,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v116(constB93)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11870, 11868])).
% 25.82/17.14 tff(11872,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB93)) | v115(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11873,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v116(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 25.82/17.14 tff(11874,plain,
% 25.82/17.14 (~v116(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11873, 490, 11867])).
% 25.82/17.14 tff(11875,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB93) | (~v117(constB93)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB93) | (~v117(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11876,plain,
% 25.82/17.14 (((~v117(constB93)) | v116(constB93)) <=> (v116(constB93) | (~v117(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11877,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB93)) | v116(constB93))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB93) | (~v117(constB93))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11876])).
% 25.82/17.14 tff(11878,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB93)) | v116(constB93))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB93) | (~v117(constB93)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11877, 11875])).
% 25.82/17.14 tff(11879,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB93)) | v116(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11880,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB93) | (~v117(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 25.82/17.14 tff(11881,plain,
% 25.82/17.14 (~v117(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11880, 476, 11874])).
% 25.82/17.14 tff(11882,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB93) | (~v118(constB93)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB93) | (~v118(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11883,plain,
% 25.82/17.14 (((~v118(constB93)) | v117(constB93)) <=> (v117(constB93) | (~v118(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11884,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB93)) | v117(constB93))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB93) | (~v118(constB93))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11883])).
% 25.82/17.14 tff(11885,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB93)) | v117(constB93))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB93) | (~v118(constB93)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11884, 11882])).
% 25.82/17.14 tff(11886,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB93)) | v117(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11887,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB93) | (~v118(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11886, 11885])).
% 25.82/17.14 tff(11888,plain,
% 25.82/17.14 (~v118(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11887, 462, 11881])).
% 25.82/17.14 tff(11889,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB93)) | v118(constB93))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB93)) | v118(constB93))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11890,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB93)) | v118(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11891,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB93)) | v118(constB93)),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 25.82/17.14 tff(11892,plain,
% 25.82/17.14 (~v120(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11891, 900, 11888])).
% 25.82/17.14 tff(11893,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11894,plain,
% 25.82/17.14 (((~v123(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v123(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11895,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11894])).
% 25.82/17.14 tff(11896,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11895, 11893])).
% 25.82/17.14 tff(11897,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11898,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 25.82/17.14 tff(11899,plain,
% 25.82/17.14 (~v123(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11898, 1784, 11867])).
% 25.82/17.14 tff(11900,assumption,(~v90(constB93, bitIndex1)), introduced(assumption)).
% 25.82/17.14 tff(11901,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB93) | (~v119(constB93)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB93) | (~v119(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11902,plain,
% 25.82/17.14 (((~v119(constB93)) | v118(constB93)) <=> (v118(constB93) | (~v119(constB93)))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11903,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB93)) | v118(constB93))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB93) | (~v119(constB93))))),
% 25.82/17.14 inference(monotonicity,[status(thm)],[11902])).
% 25.82/17.14 tff(11904,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB93)) | v118(constB93))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB93) | (~v119(constB93)))),
% 25.82/17.14 inference(transitivity,[status(thm)],[11903, 11901])).
% 25.82/17.14 tff(11905,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB93)) | v118(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11906,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB93) | (~v119(constB93))),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 25.82/17.14 tff(11907,plain,
% 25.82/17.14 (~v119(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11906, 451, 11888])).
% 25.82/17.14 tff(11908,assumption,(~v119(constB93)), introduced(assumption)).
% 25.82/17.14 tff(11909,assumption,(~v90(constB93, bitIndex0)), introduced(assumption)).
% 25.82/17.14 tff(11910,assumption,(~v123(constB93)), introduced(assumption)).
% 25.82/17.14 tff(11911,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11912,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 25.82/17.14 inference(quant_inst,[status(thm)],[])).
% 25.82/17.14 tff(11913,plain,
% 25.82/17.14 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 25.82/17.14 inference(modus_ponens,[status(thm)],[11912, 11911])).
% 25.82/17.14 tff(11914,plain,
% 25.82/17.14 (v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11913, 1727, 11900])).
% 25.82/17.14 tff(11915,plain,
% 25.82/17.14 (~v90(constB93, bitIndex2)),
% 25.82/17.14 inference(unit_resolution,[status(thm)],[11914, 11909, 11910])).
% 25.82/17.14 tff(11916,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v119(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v119(constB93))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11917,plain,
% 25.82/17.14 ((v90(constB93, bitIndex0) | v119(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)) <=> (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v119(constB93))),
% 25.82/17.14 inference(rewrite,[status(thm)],[])).
% 25.82/17.14 tff(11918,plain,
% 25.82/17.14 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB93, bitIndex0) | v119(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v119(constB93)))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11917])).
% 25.88/17.14 tff(11919,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB93, bitIndex0) | v119(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v119(constB93))),
% 25.88/17.14 inference(transitivity,[status(thm)],[11918, 11916])).
% 25.88/17.14 tff(11920,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB93, bitIndex0) | v119(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11921,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v119(constB93)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 25.88/17.14 tff(11922,plain,
% 25.88/17.14 (v90(constB93, bitIndex0) | v90(constB93, bitIndex2) | v119(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11921, 437, 11900])).
% 25.88/17.14 tff(11923,plain,
% 25.88/17.14 ($false),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11922, 11915, 11909, 11908])).
% 25.88/17.14 tff(11924,plain,(v90(constB93, bitIndex0) | v119(constB93) | v90(constB93, bitIndex1) | v123(constB93)), inference(lemma,lemma(discharge,[]))).
% 25.88/17.14 tff(11925,plain,
% 25.88/17.14 (v90(constB93, bitIndex0)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11924, 11907, 11900, 11899])).
% 25.88/17.14 tff(11926,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB93)) | v114(constB93))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11927,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB93)) | v114(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11928,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB93)) | v114(constB93)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11927, 11926])).
% 25.88/17.14 tff(11929,plain,
% 25.88/17.14 (~v124(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11928, 1986, 11860])).
% 25.88/17.14 tff(11930,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11931,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11932,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 25.88/17.14 tff(11933,plain,
% 25.88/17.14 ((~v90(constB93, bitIndex0)) | (~v90(constB93, bitIndex2)) | v124(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11932, 1975, 11900])).
% 25.88/17.14 tff(11934,plain,
% 25.88/17.14 (~v90(constB93, bitIndex2)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11933, 11925, 11929])).
% 25.88/17.14 tff(11935,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11936,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11937,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 25.88/17.14 tff(11938,plain,
% 25.88/17.14 ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex2) | v120(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11937, 889, 11900])).
% 25.88/17.14 tff(11939,plain,
% 25.88/17.14 ($false),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11938, 11934, 11925, 11892])).
% 25.88/17.14 tff(11940,plain,(v114(constB93) | v90(constB93, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.88/17.14 tff(11941,plain,
% 25.88/17.14 (v114(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11940, 11859])).
% 25.88/17.14 tff(11942,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB93)) | v113(constB93))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11943,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11944,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB93)) | v113(constB93)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 25.88/17.14 tff(11945,plain,
% 25.88/17.14 (v113(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11944, 518, 11941])).
% 25.88/17.14 tff(11946,assumption,(~v108(constB93)), introduced(assumption)).
% 25.88/17.14 tff(11947,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11948,plain,
% 25.88/17.14 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11949,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11948])).
% 25.88/17.14 tff(11950,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 25.88/17.14 inference(transitivity,[status(thm)],[11949, 11947])).
% 25.88/17.14 tff(11951,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11952,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11951, 11950])).
% 25.88/17.14 tff(11953,plain,
% 25.88/17.14 (~v112(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11952, 544, 11946])).
% 25.88/17.14 tff(11954,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v26(constB93)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11955,plain,
% 25.88/17.14 (((~v26(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v26(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11956,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v26(constB93))))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11955])).
% 25.88/17.14 tff(11957,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93)))),
% 25.88/17.14 inference(transitivity,[status(thm)],[11956, 11954])).
% 25.88/17.14 tff(11958,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11959,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93))),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11958, 11957])).
% 25.88/17.14 tff(11960,plain,
% 25.88/17.14 (~v26(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11959, 1770, 11946])).
% 25.88/17.14 tff(11961,assumption,(v113(constB93)), introduced(assumption)).
% 25.88/17.14 tff(11962,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11963,plain,
% 25.88/17.14 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11964,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11963])).
% 25.88/17.14 tff(11965,plain,
% 25.88/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 25.88/17.14 inference(transitivity,[status(thm)],[11964, 11962])).
% 25.88/17.14 tff(11966,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11967,plain,
% 25.88/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 25.88/17.14 tff(11968,plain,
% 25.88/17.14 (v26(constB93) | v112(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11967, 532, 11961])).
% 25.88/17.14 tff(11969,plain,
% 25.88/17.14 ($false),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11968, 11960, 11953])).
% 25.88/17.14 tff(11970,plain,(v108(constB93) | (~v113(constB93))), inference(lemma,lemma(discharge,[]))).
% 25.88/17.14 tff(11971,plain,
% 25.88/17.14 (v108(constB93)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11970, 11945])).
% 25.88/17.14 tff(11972,plain,
% 25.88/17.14 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11973,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 25.88/17.14 tff(11974,plain,
% 25.88/17.14 (nextState(constB93, constB94)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 25.88/17.14 tff(11975,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11976,plain,
% 25.88/17.14 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11977,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11976])).
% 25.88/17.14 tff(11978,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 25.88/17.14 inference(transitivity,[status(thm)],[11977, 11975])).
% 25.88/17.14 tff(11979,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11980,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11979, 11978])).
% 25.88/17.14 tff(11981,plain,
% 25.88/17.14 (v110(constB94) | (~v108(constB93))),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11980, 564, 11974])).
% 25.88/17.14 tff(11982,plain,
% 25.88/17.14 (v110(constB94)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11981, 11971])).
% 25.88/17.14 tff(11983,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11984,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11985,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 25.88/17.14 tff(11986,plain,
% 25.88/17.14 (~v104(constB94)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11985, 582, 11974, 11835])).
% 25.88/17.14 tff(11987,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11988,plain,
% 25.88/17.14 (((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11989,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11988])).
% 25.88/17.14 tff(11990,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94))),
% 25.88/17.14 inference(transitivity,[status(thm)],[11989, 11987])).
% 25.88/17.14 tff(11991,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(11992,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | v102(constB94)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11991, 11990])).
% 25.88/17.14 tff(11993,plain,
% 25.88/17.14 (v104(constB94) | v102(constB94)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11992, 596, 11974])).
% 25.88/17.14 tff(11994,plain,
% 25.88/17.14 (v102(constB94)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[11993, 11986])).
% 25.88/17.14 tff(11995,plain,
% 25.88/17.14 (v1(constB94) <=> v1(constB94)),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11996,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 25.88/17.14 tff(11997,plain,
% 25.88/17.14 (v1(constB94)),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 25.88/17.14 tff(11998,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(11999,plain,
% 25.88/17.14 (((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))) <=> ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 25.88/17.14 inference(rewrite,[status(thm)],[])).
% 25.88/17.14 tff(12000,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))))),
% 25.88/17.14 inference(monotonicity,[status(thm)],[11999])).
% 25.88/17.14 tff(12001,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94)))),
% 25.88/17.14 inference(transitivity,[status(thm)],[12000, 11998])).
% 25.88/17.14 tff(12002,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 25.88/17.14 inference(quant_inst,[status(thm)],[])).
% 25.88/17.14 tff(12003,plain,
% 25.88/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | (~v1(constB94)) | v101(constB94) | (~v102(constB94))),
% 25.88/17.14 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 25.88/17.14 tff(12004,plain,
% 25.88/17.14 (v101(constB94) | (~v102(constB94))),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[12003, 617, 11974, 11997])).
% 25.88/17.14 tff(12005,plain,
% 25.88/17.14 (v101(constB94)),
% 25.88/17.14 inference(unit_resolution,[status(thm)],[12004, 11994])).
% 25.88/17.14 tff(12006,plain,
% 25.88/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12007,plain,
% 25.88/17.15 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12008,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12007])).
% 25.88/17.15 tff(12009,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12008, 12006])).
% 25.88/17.15 tff(12010,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12011,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12010, 12009])).
% 25.88/17.15 tff(12012,plain,
% 25.88/17.15 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12011, 635, 11974])).
% 25.88/17.15 tff(12013,plain,
% 25.88/17.15 (v100(constB94) | (~v110(constB94))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12012, 12005])).
% 25.88/17.15 tff(12014,plain,
% 25.88/17.15 (v100(constB94)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12013, 11982])).
% 25.88/17.15 tff(12015,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12016,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12017,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 25.88/17.15 tff(12018,plain,
% 25.88/17.15 (v130(constB91, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12017, 1546, 11726])).
% 25.88/17.15 tff(12019,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12020,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12021,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 25.88/17.15 tff(12022,plain,
% 25.88/17.15 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12021, 1560, 11752])).
% 25.88/17.15 tff(12023,plain,
% 25.88/17.15 (v127(constB91, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12022, 12018])).
% 25.88/17.15 tff(12024,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12025,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12026,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12025, 12024])).
% 25.88/17.15 tff(12027,plain,
% 25.88/17.15 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12026, 1575, 11767])).
% 25.88/17.15 tff(12028,plain,
% 25.88/17.15 (v129(constB92, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12027, 12023])).
% 25.88/17.15 tff(12029,plain,
% 25.88/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12030,plain,
% 25.88/17.15 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12031,plain,
% 25.88/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12030])).
% 25.88/17.15 tff(12032,plain,
% 25.88/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12031, 12029])).
% 25.88/17.15 tff(12033,plain,
% 25.88/17.15 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12034,plain,
% 25.88/17.15 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 25.88/17.15 tff(12035,plain,
% 25.88/17.15 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12034, 1590, 12028])).
% 25.88/17.15 tff(12036,plain,
% 25.88/17.15 (v90(constB92, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12035, 11807])).
% 25.88/17.15 tff(12037,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12038,plain,
% 25.88/17.15 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12039,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12038])).
% 25.88/17.15 tff(12040,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12039, 12037])).
% 25.88/17.15 tff(12041,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12042,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12041, 12040])).
% 25.88/17.15 tff(12043,plain,
% 25.88/17.15 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12042, 1626, 11838])).
% 25.88/17.15 tff(12044,plain,
% 25.88/17.15 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12043, 11850])).
% 25.88/17.15 tff(12045,plain,
% 25.88/17.15 (v90(constB93, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12044, 12036])).
% 25.88/17.15 tff(12046,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12047,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12048,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12047, 12046])).
% 25.88/17.15 tff(12049,plain,
% 25.88/17.15 (~v130(constB91, bitIndex0)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12048, 1683, 11726])).
% 25.88/17.15 tff(12050,assumption,(v127(constB91, bitIndex0)), introduced(assumption)).
% 25.88/17.15 tff(12051,assumption,(~v130(constB91, bitIndex0)), introduced(assumption)).
% 25.88/17.15 tff(12052,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12053,plain,
% 25.88/17.15 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12054,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12053])).
% 25.88/17.15 tff(12055,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12054, 12052])).
% 25.88/17.15 tff(12056,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12057,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12056, 12055])).
% 25.88/17.15 tff(12058,plain,
% 25.88/17.15 ((~v127(constB91, bitIndex0)) | v26(constB91)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12057, 1153, 12051])).
% 25.88/17.15 tff(12059,plain,
% 25.88/17.15 (v26(constB91)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12058, 12050])).
% 25.88/17.15 tff(12060,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB91)) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB91)) | (~v127(constB91, bitIndex0)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12061,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB91)) | (~v127(constB91, bitIndex0)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12062,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB91)) | (~v127(constB91, bitIndex0))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 25.88/17.15 tff(12063,plain,
% 25.88/17.15 ($false),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12062, 4862, 12050, 12059])).
% 25.88/17.15 tff(12064,plain,((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.88/17.15 tff(12065,plain,
% 25.88/17.15 (~v127(constB91, bitIndex0)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12064, 12049])).
% 25.88/17.15 tff(12066,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12067,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12068,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 25.88/17.15 tff(12069,plain,
% 25.88/17.15 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12068, 1171, 11767])).
% 25.88/17.15 tff(12070,plain,
% 25.88/17.15 (~v129(constB92, bitIndex0)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12069, 12065])).
% 25.88/17.15 tff(12071,plain,
% 25.88/17.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12072,plain,
% 25.88/17.15 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12073,plain,
% 25.88/17.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12072])).
% 25.88/17.15 tff(12074,plain,
% 25.88/17.15 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12073, 12071])).
% 25.88/17.15 tff(12075,plain,
% 25.88/17.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12076,plain,
% 25.88/17.15 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 25.88/17.15 tff(12077,plain,
% 25.88/17.15 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12076, 1186, 12070])).
% 25.88/17.15 tff(12078,plain,
% 25.88/17.15 (~v90(constB92, bitIndex0)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12077, 11807])).
% 25.88/17.15 tff(12079,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12080,plain,
% 25.88/17.15 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12081,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12080])).
% 25.88/17.15 tff(12082,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12081, 12079])).
% 25.88/17.15 tff(12083,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12084,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12083, 12082])).
% 25.88/17.15 tff(12085,plain,
% 25.88/17.15 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12084, 416, 11838])).
% 25.88/17.15 tff(12086,plain,
% 25.88/17.15 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12085, 11850])).
% 25.88/17.15 tff(12087,plain,
% 25.88/17.15 (~v90(constB93, bitIndex0)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12086, 12078])).
% 25.88/17.15 tff(12088,plain,
% 25.88/17.15 (v123(constB93)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[11913, 1727, 12087, 11859, 12045])).
% 25.88/17.15 tff(12089,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12090,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12091,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 25.88/17.15 tff(12092,plain,
% 25.88/17.15 (v130(constB93, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12091, 1738, 12088])).
% 25.88/17.15 tff(12093,assumption,(v26(constB93)), introduced(assumption)).
% 25.88/17.15 tff(12094,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12095,plain,
% 25.88/17.15 ($false),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12094, 120, 12093])).
% 25.88/17.15 tff(12096,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 25.88/17.15 tff(12097,plain,
% 25.88/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12098,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12099,plain,
% 25.88/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12098, 12097])).
% 25.88/17.15 tff(12100,plain,
% 25.88/17.15 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12099, 1560, 12096])).
% 25.88/17.15 tff(12101,plain,
% 25.88/17.15 (v127(constB93, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12100, 12092])).
% 25.88/17.15 tff(12102,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12103,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12104,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 25.88/17.15 tff(12105,plain,
% 25.88/17.15 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12104, 1575, 11974])).
% 25.88/17.15 tff(12106,plain,
% 25.88/17.15 (v129(constB94, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12105, 12101])).
% 25.88/17.15 tff(12107,plain,
% 25.88/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12108,plain,
% 25.88/17.15 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12109,plain,
% 25.88/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12108])).
% 25.88/17.15 tff(12110,plain,
% 25.88/17.15 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12109, 12107])).
% 25.88/17.15 tff(12111,plain,
% 25.88/17.15 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12112,plain,
% 25.88/17.15 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 25.88/17.15 tff(12113,plain,
% 25.88/17.15 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12112, 1590, 12106])).
% 25.88/17.15 tff(12114,plain,
% 25.88/17.15 (v90(constB94, bitIndex2)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12113, 12014])).
% 25.88/17.15 tff(12115,plain,
% 25.88/17.15 ((~v1(constB95)) <=> (~v1(constB95))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12116,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 25.88/17.15 tff(12117,plain,
% 25.88/17.15 (~v1(constB95)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12116, 12115])).
% 25.88/17.15 tff(12118,plain,
% 25.88/17.15 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12119,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 25.88/17.15 tff(12120,plain,
% 25.88/17.15 (nextState(constB94, constB95)),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 25.88/17.15 tff(12121,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12122,plain,
% 25.88/17.15 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12123,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12122])).
% 25.88/17.15 tff(12124,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12123, 12121])).
% 25.88/17.15 tff(12125,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12126,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12125, 12124])).
% 25.88/17.15 tff(12127,plain,
% 25.88/17.15 (~v101(constB95)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12126, 342, 12120, 12117])).
% 25.88/17.15 tff(12128,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12129,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 25.88/17.15 inference(quant_inst,[status(thm)],[])).
% 25.88/17.15 tff(12130,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 25.88/17.15 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 25.88/17.15 tff(12131,plain,
% 25.88/17.15 (v101(constB95) | (~v100(constB95))),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12130, 359, 12120])).
% 25.88/17.15 tff(12132,plain,
% 25.88/17.15 (~v100(constB95)),
% 25.88/17.15 inference(unit_resolution,[status(thm)],[12131, 12127])).
% 25.88/17.15 tff(12133,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12134,plain,
% 25.88/17.15 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 25.88/17.15 inference(rewrite,[status(thm)],[])).
% 25.88/17.15 tff(12135,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 25.88/17.15 inference(monotonicity,[status(thm)],[12134])).
% 25.88/17.15 tff(12136,plain,
% 25.88/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 25.88/17.15 inference(transitivity,[status(thm)],[12135, 12133])).
% 25.88/17.15 tff(12137,plain,
% 25.88/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 25.88/17.16 inference(quant_inst,[status(thm)],[])).
% 25.88/17.16 tff(12138,plain,
% 25.88/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 25.88/17.16 inference(modus_ponens,[status(thm)],[12137, 12136])).
% 25.88/17.16 tff(12139,plain,
% 25.88/17.16 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 25.88/17.16 inference(unit_resolution,[status(thm)],[12138, 1626, 12120])).
% 25.88/17.16 tff(12140,plain,
% 25.88/17.16 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 25.88/17.16 inference(unit_resolution,[status(thm)],[12139, 12132])).
% 25.88/17.16 tff(12141,plain,
% 25.88/17.16 (v90(constB95, bitIndex2)),
% 25.88/17.16 inference(unit_resolution,[status(thm)],[12140, 12114])).
% 25.88/17.16 tff(12142,plain,
% 25.88/17.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12143,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12144,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 25.89/17.16 tff(12145,plain,
% 25.89/17.16 (~v130(constB93, bitIndex1)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12144, 1893, 12088])).
% 25.89/17.16 tff(12146,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12147,plain,
% 25.89/17.16 ((v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1))) <=> ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12148,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12147])).
% 25.89/17.16 tff(12149,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12148, 12146])).
% 25.89/17.16 tff(12150,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12151,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 25.89/17.16 tff(12152,plain,
% 25.89/17.16 ((~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12151, 751, 12096])).
% 25.89/17.16 tff(12153,plain,
% 25.89/17.16 (~v127(constB93, bitIndex1)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12152, 12145])).
% 25.89/17.16 tff(12154,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12155,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12156,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 25.89/17.16 tff(12157,plain,
% 25.89/17.16 (v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12156, 769, 11974])).
% 25.89/17.16 tff(12158,plain,
% 25.89/17.16 (~v129(constB94, bitIndex1)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12157, 12153])).
% 25.89/17.16 tff(12159,plain,
% 25.89/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12160,plain,
% 25.89/17.16 (((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12161,plain,
% 25.89/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12160])).
% 25.89/17.16 tff(12162,plain,
% 25.89/17.16 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12161, 12159])).
% 25.89/17.16 tff(12163,plain,
% 25.89/17.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12164,plain,
% 25.89/17.16 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 25.89/17.16 tff(12165,plain,
% 25.89/17.16 ((~v90(constB94, bitIndex1)) | (~v100(constB94))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12164, 784, 12158])).
% 25.89/17.16 tff(12166,plain,
% 25.89/17.16 (~v90(constB94, bitIndex1)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12165, 12014])).
% 25.89/17.16 tff(12167,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12168,plain,
% 25.89/17.16 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12169,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12168])).
% 25.89/17.16 tff(12170,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12169, 12167])).
% 25.89/17.16 tff(12171,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12172,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12171, 12170])).
% 25.89/17.16 tff(12173,plain,
% 25.89/17.16 (v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12172, 395, 12120])).
% 25.89/17.16 tff(12174,plain,
% 25.89/17.16 (v90(constB94, bitIndex1) | (~v90(constB95, bitIndex1))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12173, 12132])).
% 25.89/17.16 tff(12175,plain,
% 25.89/17.16 (~v90(constB95, bitIndex1)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12174, 12166])).
% 25.89/17.16 tff(12176,assumption,(~v130(constB93, bitIndex0)), introduced(assumption)).
% 25.89/17.16 tff(12177,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12178,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12179,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 25.89/17.16 tff(12180,plain,
% 25.89/17.16 (~v123(constB93)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12179, 1934, 12176])).
% 25.89/17.16 tff(12181,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB93)) | v130(constB93, bitIndex0))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12182,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB93)) | v130(constB93, bitIndex0))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12183,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB93)) | v130(constB93, bitIndex0)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 25.89/17.16 tff(12184,plain,
% 25.89/17.16 (~v119(constB93)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12183, 808, 12176])).
% 25.89/17.16 tff(12185,plain,
% 25.89/17.16 ($false),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[11924, 12184, 12180, 11900, 11909])).
% 25.89/17.16 tff(12186,plain,(v130(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.16 tff(12187,plain,
% 25.89/17.16 (v130(constB93, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12186, 12087, 11859])).
% 25.89/17.16 tff(12188,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12189,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12190,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12189, 12188])).
% 25.89/17.16 tff(12191,plain,
% 25.89/17.16 ((~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12190, 822, 12096])).
% 25.89/17.16 tff(12192,plain,
% 25.89/17.16 (v127(constB93, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12191, 12187])).
% 25.89/17.16 tff(12193,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12194,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12195,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 25.89/17.16 tff(12196,plain,
% 25.89/17.16 ((~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12195, 837, 11974])).
% 25.89/17.16 tff(12197,plain,
% 25.89/17.16 (v129(constB94, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12196, 12192])).
% 25.89/17.16 tff(12198,plain,
% 25.89/17.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12199,plain,
% 25.89/17.16 ((v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12200,plain,
% 25.89/17.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12199])).
% 25.89/17.16 tff(12201,plain,
% 25.89/17.16 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12200, 12198])).
% 25.89/17.16 tff(12202,plain,
% 25.89/17.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12203,plain,
% 25.89/17.16 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 25.89/17.16 tff(12204,plain,
% 25.89/17.16 (v90(constB94, bitIndex0) | (~v100(constB94))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12203, 852, 12197])).
% 25.89/17.16 tff(12205,plain,
% 25.89/17.16 (v90(constB94, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12204, 12014])).
% 25.89/17.16 tff(12206,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12207,plain,
% 25.89/17.16 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12208,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12207])).
% 25.89/17.16 tff(12209,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12208, 12206])).
% 25.89/17.16 tff(12210,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12211,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 25.89/17.16 tff(12212,plain,
% 25.89/17.16 ((~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12211, 870, 12120])).
% 25.89/17.16 tff(12213,plain,
% 25.89/17.16 ((~v90(constB94, bitIndex0)) | v90(constB95, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12212, 12132])).
% 25.89/17.16 tff(12214,plain,
% 25.89/17.16 (v90(constB95, bitIndex0)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12213, 12205])).
% 25.89/17.16 tff(12215,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12216,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12217,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12216, 12215])).
% 25.89/17.16 tff(12218,plain,
% 25.89/17.16 (v124(constB95)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12217, 1975, 12214, 12175, 12141])).
% 25.89/17.16 tff(12219,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB95) | (~v124(constB95)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB95) | (~v124(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12220,plain,
% 25.89/17.16 (((~v124(constB95)) | v114(constB95)) <=> (v114(constB95) | (~v124(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12221,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB95) | (~v124(constB95))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12220])).
% 25.89/17.16 tff(12222,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB95) | (~v124(constB95)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12221, 12219])).
% 25.89/17.16 tff(12223,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12224,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB95) | (~v124(constB95))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 25.89/17.16 tff(12225,plain,
% 25.89/17.16 (v114(constB95)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12224, 1986, 12218])).
% 25.89/17.16 tff(12226,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12227,plain,
% 25.89/17.16 (((~v114(constB95)) | v113(constB95)) <=> (v113(constB95) | (~v114(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12228,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v114(constB95))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12227])).
% 25.89/17.16 tff(12229,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12228, 12226])).
% 25.89/17.16 tff(12230,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12231,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 25.89/17.16 tff(12232,plain,
% 25.89/17.16 (v113(constB95)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12231, 518, 12225])).
% 25.89/17.16 tff(12233,assumption,(v26(constB95)), introduced(assumption)).
% 25.89/17.16 tff(12234,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12235,plain,
% 25.89/17.16 ($false),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12234, 120, 12233])).
% 25.89/17.16 tff(12236,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.16 tff(12237,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12238,plain,
% 25.89/17.16 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12239,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12238])).
% 25.89/17.16 tff(12240,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12239, 12237])).
% 25.89/17.16 tff(12241,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12242,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12241, 12240])).
% 25.89/17.16 tff(12243,plain,
% 25.89/17.16 (v112(constB95) | (~v113(constB95))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12242, 532, 12236])).
% 25.89/17.16 tff(12244,plain,
% 25.89/17.16 (v112(constB95)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12243, 12232])).
% 25.89/17.16 tff(12245,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12246,plain,
% 25.89/17.16 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12247,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12246])).
% 25.89/17.16 tff(12248,plain,
% 25.89/17.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12247, 12245])).
% 25.89/17.16 tff(12249,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12250,plain,
% 25.89/17.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 25.89/17.16 tff(12251,plain,
% 25.89/17.16 (v108(constB95)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12250, 544, 12244])).
% 25.89/17.16 tff(12252,plain,
% 25.89/17.16 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12253,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 25.89/17.16 tff(12254,plain,
% 25.89/17.16 (nextState(constB95, constB96)),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12253, 12252])).
% 25.89/17.16 tff(12255,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12256,plain,
% 25.89/17.16 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12257,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 25.89/17.16 inference(monotonicity,[status(thm)],[12256])).
% 25.89/17.16 tff(12258,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 25.89/17.16 inference(transitivity,[status(thm)],[12257, 12255])).
% 25.89/17.16 tff(12259,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12260,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 25.89/17.16 tff(12261,plain,
% 25.89/17.16 (v110(constB96) | (~v108(constB95))),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12260, 564, 12254])).
% 25.89/17.16 tff(12262,plain,
% 25.89/17.16 (v110(constB96)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12261, 12251])).
% 25.89/17.16 tff(12263,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12264,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 25.89/17.16 inference(quant_inst,[status(thm)],[])).
% 25.89/17.16 tff(12265,plain,
% 25.89/17.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 25.89/17.16 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 25.89/17.16 tff(12266,plain,
% 25.89/17.16 (~v104(constB96)),
% 25.89/17.16 inference(unit_resolution,[status(thm)],[12265, 582, 12254, 12117])).
% 25.89/17.16 tff(12267,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12268,plain,
% 25.89/17.16 (((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 25.89/17.16 inference(rewrite,[status(thm)],[])).
% 25.89/17.16 tff(12269,plain,
% 25.89/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12268])).
% 25.89/17.17 tff(12270,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12269, 12267])).
% 25.89/17.17 tff(12271,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12272,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | v102(constB96)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 25.89/17.17 tff(12273,plain,
% 25.89/17.17 (v104(constB96) | v102(constB96)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12272, 596, 12254])).
% 25.89/17.17 tff(12274,plain,
% 25.89/17.17 (v102(constB96)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12273, 12266])).
% 25.89/17.17 tff(12275,plain,
% 25.89/17.17 (v1(constB96) <=> v1(constB96)),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12276,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 25.89/17.17 tff(12277,plain,
% 25.89/17.17 (v1(constB96)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 25.89/17.17 tff(12278,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12279,plain,
% 25.89/17.17 (((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))) <=> ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12280,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12279])).
% 25.89/17.17 tff(12281,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96)))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12280, 12278])).
% 25.89/17.17 tff(12282,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12283,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | (~v1(constB96)) | v101(constB96) | (~v102(constB96))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 25.89/17.17 tff(12284,plain,
% 25.89/17.17 (v101(constB96) | (~v102(constB96))),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12283, 617, 12254, 12277])).
% 25.89/17.17 tff(12285,plain,
% 25.89/17.17 (v101(constB96)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12284, 12274])).
% 25.89/17.17 tff(12286,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12287,plain,
% 25.89/17.17 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12288,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12287])).
% 25.89/17.17 tff(12289,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12288, 12286])).
% 25.89/17.17 tff(12290,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12291,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 25.89/17.17 tff(12292,plain,
% 25.89/17.17 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12291, 635, 12254])).
% 25.89/17.17 tff(12293,plain,
% 25.89/17.17 (v100(constB96) | (~v110(constB96))),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12292, 12285])).
% 25.89/17.17 tff(12294,plain,
% 25.89/17.17 (v100(constB96)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12293, 12262])).
% 25.89/17.17 tff(12295,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12296,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12297,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12296, 12295])).
% 25.89/17.17 tff(12298,plain,
% 25.89/17.17 (v130(constB95, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12297, 2066, 12218])).
% 25.89/17.17 tff(12299,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12300,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12301,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12300, 12299])).
% 25.89/17.17 tff(12302,plain,
% 25.89/17.17 ((~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12301, 1560, 12236])).
% 25.89/17.17 tff(12303,plain,
% 25.89/17.17 (v127(constB95, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12302, 12298])).
% 25.89/17.17 tff(12304,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12305,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12306,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12305, 12304])).
% 25.89/17.17 tff(12307,plain,
% 25.89/17.17 ((~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12306, 1575, 12254])).
% 25.89/17.17 tff(12308,plain,
% 25.89/17.17 (v129(constB96, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12307, 12303])).
% 25.89/17.17 tff(12309,plain,
% 25.89/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12310,plain,
% 25.89/17.17 ((v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12311,plain,
% 25.89/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12310])).
% 25.89/17.17 tff(12312,plain,
% 25.89/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12311, 12309])).
% 25.89/17.17 tff(12313,plain,
% 25.89/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12314,plain,
% 25.89/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 25.89/17.17 tff(12315,plain,
% 25.89/17.17 (v90(constB96, bitIndex2) | (~v100(constB96))),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12314, 1590, 12308])).
% 25.89/17.17 tff(12316,plain,
% 25.89/17.17 (v90(constB96, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12315, 12294])).
% 25.89/17.17 tff(12317,plain,
% 25.89/17.17 ((~v1(constB97)) <=> (~v1(constB97))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12318,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 25.89/17.17 tff(12319,plain,
% 25.89/17.17 (~v1(constB97)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 25.89/17.17 tff(12320,plain,
% 25.89/17.17 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12321,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 25.89/17.17 tff(12322,plain,
% 25.89/17.17 (nextState(constB96, constB97)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 25.89/17.17 tff(12323,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12324,plain,
% 25.89/17.17 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12325,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12324])).
% 25.89/17.17 tff(12326,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12325, 12323])).
% 25.89/17.17 tff(12327,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12328,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12327, 12326])).
% 25.89/17.17 tff(12329,plain,
% 25.89/17.17 (~v101(constB97)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12328, 342, 12322, 12319])).
% 25.89/17.17 tff(12330,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12331,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12332,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12331, 12330])).
% 25.89/17.17 tff(12333,plain,
% 25.89/17.17 (v101(constB97) | (~v100(constB97))),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12332, 359, 12322])).
% 25.89/17.17 tff(12334,plain,
% 25.89/17.17 (~v100(constB97)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12333, 12329])).
% 25.89/17.17 tff(12335,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12336,plain,
% 25.89/17.17 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12337,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12336])).
% 25.89/17.17 tff(12338,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12337, 12335])).
% 25.89/17.17 tff(12339,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12340,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 25.89/17.17 tff(12341,plain,
% 25.89/17.17 ((~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12340, 1626, 12322])).
% 25.89/17.17 tff(12342,plain,
% 25.89/17.17 ((~v90(constB96, bitIndex2)) | v90(constB97, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12341, 12334])).
% 25.89/17.17 tff(12343,plain,
% 25.89/17.17 (v90(constB97, bitIndex2)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12342, 12316])).
% 25.89/17.17 tff(12344,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12345,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12346,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 25.89/17.17 tff(12347,plain,
% 25.89/17.17 (v130(constB95, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12346, 2122, 12218])).
% 25.89/17.17 tff(12348,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12349,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12350,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 25.89/17.17 tff(12351,plain,
% 25.89/17.17 ((~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12350, 1075, 12236])).
% 25.89/17.17 tff(12352,plain,
% 25.89/17.17 (v127(constB95, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12351, 12347])).
% 25.89/17.17 tff(12353,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12354,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12355,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 25.89/17.17 tff(12356,plain,
% 25.89/17.17 ((~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12355, 1090, 12254])).
% 25.89/17.17 tff(12357,plain,
% 25.89/17.17 (v129(constB96, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12356, 12352])).
% 25.89/17.17 tff(12358,plain,
% 25.89/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12359,plain,
% 25.89/17.17 ((v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12360,plain,
% 25.89/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12359])).
% 25.89/17.17 tff(12361,plain,
% 25.89/17.17 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12360, 12358])).
% 25.89/17.17 tff(12362,plain,
% 25.89/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12363,plain,
% 25.89/17.17 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12362, 12361])).
% 25.89/17.17 tff(12364,plain,
% 25.89/17.17 (v90(constB96, bitIndex1) | (~v100(constB96))),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12363, 1105, 12357])).
% 25.89/17.17 tff(12365,plain,
% 25.89/17.17 (v90(constB96, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12364, 12294])).
% 25.89/17.17 tff(12366,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12367,plain,
% 25.89/17.17 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12368,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12367])).
% 25.89/17.17 tff(12369,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12368, 12366])).
% 25.89/17.17 tff(12370,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12371,plain,
% 25.89/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 25.89/17.17 tff(12372,plain,
% 25.89/17.17 ((~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12371, 1123, 12322])).
% 25.89/17.17 tff(12373,plain,
% 25.89/17.17 ((~v90(constB96, bitIndex1)) | v90(constB97, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12372, 12334])).
% 25.89/17.17 tff(12374,plain,
% 25.89/17.17 (v90(constB97, bitIndex1)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12373, 12365])).
% 25.89/17.17 tff(12375,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12376,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12377,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0))),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 25.89/17.17 tff(12378,plain,
% 25.89/17.17 (~v130(constB95, bitIndex0)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12377, 2160, 12218])).
% 25.89/17.17 tff(12379,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12380,plain,
% 25.89/17.17 ((v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0))) <=> ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 25.89/17.17 inference(rewrite,[status(thm)],[])).
% 25.89/17.17 tff(12381,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)))),
% 25.89/17.17 inference(monotonicity,[status(thm)],[12380])).
% 25.89/17.17 tff(12382,plain,
% 25.89/17.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 25.89/17.17 inference(transitivity,[status(thm)],[12381, 12379])).
% 25.89/17.17 tff(12383,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))),
% 25.89/17.17 inference(quant_inst,[status(thm)],[])).
% 25.89/17.17 tff(12384,plain,
% 25.89/17.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)),
% 25.89/17.17 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 25.89/17.17 tff(12385,plain,
% 25.89/17.17 ((~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12384, 1153, 12236])).
% 25.89/17.17 tff(12386,plain,
% 25.89/17.17 (~v127(constB95, bitIndex0)),
% 25.89/17.17 inference(unit_resolution,[status(thm)],[12385, 12378])).
% 25.89/17.17 tff(12387,plain,
% 25.89/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12388,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12389,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 25.89/17.18 tff(12390,plain,
% 25.89/17.18 (v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12389, 1171, 12254])).
% 25.89/17.18 tff(12391,plain,
% 25.89/17.18 (~v129(constB96, bitIndex0)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12390, 12386])).
% 25.89/17.18 tff(12392,plain,
% 25.89/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12393,plain,
% 25.89/17.18 (((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12394,plain,
% 25.89/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12393])).
% 25.89/17.18 tff(12395,plain,
% 25.89/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12394, 12392])).
% 25.89/17.18 tff(12396,plain,
% 25.89/17.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12397,plain,
% 25.89/17.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 25.89/17.18 tff(12398,plain,
% 25.89/17.18 ((~v90(constB96, bitIndex0)) | (~v100(constB96))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12397, 1186, 12391])).
% 25.89/17.18 tff(12399,plain,
% 25.89/17.18 (~v90(constB96, bitIndex0)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12398, 12294])).
% 25.89/17.18 tff(12400,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12401,plain,
% 25.89/17.18 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12402,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12401])).
% 25.89/17.18 tff(12403,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12402, 12400])).
% 25.89/17.18 tff(12404,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12405,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12404, 12403])).
% 25.89/17.18 tff(12406,plain,
% 25.89/17.18 (v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12405, 416, 12322])).
% 25.89/17.18 tff(12407,plain,
% 25.89/17.18 (v90(constB96, bitIndex0) | (~v90(constB97, bitIndex0))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12406, 12334])).
% 25.89/17.18 tff(12408,plain,
% 25.89/17.18 (~v90(constB97, bitIndex0)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12407, 12399])).
% 25.89/17.18 tff(12409,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12410,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12411,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 25.89/17.18 tff(12412,plain,
% 25.89/17.18 (v125(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12411, 2204, 12408, 12374, 12343])).
% 25.89/17.18 tff(12413,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB97) | (~v125(constB97)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v125(constB97)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12414,plain,
% 25.89/17.18 (((~v125(constB97)) | v113(constB97)) <=> (v113(constB97) | (~v125(constB97)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12415,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB97) | (~v125(constB97))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12414])).
% 25.89/17.18 tff(12416,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v125(constB97)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12415, 12413])).
% 25.89/17.18 tff(12417,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12418,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v125(constB97))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 25.89/17.18 tff(12419,plain,
% 25.89/17.18 (v113(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12418, 2215, 12412])).
% 25.89/17.18 tff(12420,assumption,(v26(constB97)), introduced(assumption)).
% 25.89/17.18 tff(12421,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12422,plain,
% 25.89/17.18 ($false),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12421, 120, 12420])).
% 25.89/17.18 tff(12423,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.18 tff(12424,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12425,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12426,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 25.89/17.18 tff(12427,plain,
% 25.89/17.18 ((~v113(constB97)) | v112(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12426, 532, 12423])).
% 25.89/17.18 tff(12428,plain,
% 25.89/17.18 (v112(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12427, 12419])).
% 25.89/17.18 tff(12429,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12430,plain,
% 25.89/17.18 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12431,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12430])).
% 25.89/17.18 tff(12432,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12431, 12429])).
% 25.89/17.18 tff(12433,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12434,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 25.89/17.18 tff(12435,plain,
% 25.89/17.18 (v108(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12434, 544, 12428])).
% 25.89/17.18 tff(12436,plain,
% 25.89/17.18 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12437,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 25.89/17.18 tff(12438,plain,
% 25.89/17.18 (nextState(constB97, constB98)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12437, 12436])).
% 25.89/17.18 tff(12439,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12440,plain,
% 25.89/17.18 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12441,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12440])).
% 25.89/17.18 tff(12442,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12441, 12439])).
% 25.89/17.18 tff(12443,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12444,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 25.89/17.18 tff(12445,plain,
% 25.89/17.18 (v110(constB98) | (~v108(constB97))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12444, 564, 12438])).
% 25.89/17.18 tff(12446,plain,
% 25.89/17.18 (v110(constB98)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12445, 12435])).
% 25.89/17.18 tff(12447,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12448,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12449,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 25.89/17.18 tff(12450,plain,
% 25.89/17.18 (~v104(constB98)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12449, 582, 12438, 12319])).
% 25.89/17.18 tff(12451,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12452,plain,
% 25.89/17.18 (((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12453,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12452])).
% 25.89/17.18 tff(12454,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12453, 12451])).
% 25.89/17.18 tff(12455,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12456,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | v102(constB98)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12455, 12454])).
% 25.89/17.18 tff(12457,plain,
% 25.89/17.18 (v104(constB98) | v102(constB98)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12456, 596, 12438])).
% 25.89/17.18 tff(12458,plain,
% 25.89/17.18 (v102(constB98)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12457, 12450])).
% 25.89/17.18 tff(12459,plain,
% 25.89/17.18 (v1(constB98) <=> v1(constB98)),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12460,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 25.89/17.18 tff(12461,plain,
% 25.89/17.18 (v1(constB98)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 25.89/17.18 tff(12462,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12463,plain,
% 25.89/17.18 (((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))) <=> ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12464,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12463])).
% 25.89/17.18 tff(12465,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12464, 12462])).
% 25.89/17.18 tff(12466,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12467,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | (~v1(constB98)) | v101(constB98) | (~v102(constB98))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 25.89/17.18 tff(12468,plain,
% 25.89/17.18 (v101(constB98) | (~v102(constB98))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12467, 617, 12438, 12461])).
% 25.89/17.18 tff(12469,plain,
% 25.89/17.18 (v101(constB98)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12468, 12458])).
% 25.89/17.18 tff(12470,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12471,plain,
% 25.89/17.18 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12472,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12471])).
% 25.89/17.18 tff(12473,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12472, 12470])).
% 25.89/17.18 tff(12474,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12475,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 25.89/17.18 tff(12476,plain,
% 25.89/17.18 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12475, 635, 12438])).
% 25.89/17.18 tff(12477,plain,
% 25.89/17.18 (v100(constB98) | (~v110(constB98))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12476, 12469])).
% 25.89/17.18 tff(12478,plain,
% 25.89/17.18 (v100(constB98)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12477, 12446])).
% 25.89/17.18 tff(12479,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB97)) | (~v90(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB97)) | (~v90(constB97, bitIndex2)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12480,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB97)) | (~v90(constB97, bitIndex2)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12481,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB97)) | (~v90(constB97, bitIndex2))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 25.89/17.18 tff(12482,plain,
% 25.89/17.18 (~v122(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12481, 2298, 12343])).
% 25.89/17.18 tff(12483,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12484,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12485,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 25.89/17.18 tff(12486,plain,
% 25.89/17.18 (~v119(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12485, 2309, 12374])).
% 25.89/17.18 tff(12487,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12488,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12489,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB97)) | (~v90(constB97, bitIndex1))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12488, 12487])).
% 25.89/17.18 tff(12490,plain,
% 25.89/17.18 (~v124(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12489, 2342, 12374])).
% 25.89/17.18 tff(12491,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB97)) | (~v90(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB97)) | (~v90(constB97, bitIndex2)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12492,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB97)) | (~v90(constB97, bitIndex2)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12493,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB97)) | (~v90(constB97, bitIndex2))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 25.89/17.18 tff(12494,plain,
% 25.89/17.18 (~v121(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12493, 2287, 12343])).
% 25.89/17.18 tff(12495,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12496,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12497,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB97)) | (~v90(constB97, bitIndex1))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12496, 12495])).
% 25.89/17.18 tff(12498,plain,
% 25.89/17.18 (~v120(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12497, 2320, 12374])).
% 25.89/17.18 tff(12499,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12500,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB97)) | (~v90(constB97, bitIndex1)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12501,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB97)) | (~v90(constB97, bitIndex1))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12500, 12499])).
% 25.89/17.18 tff(12502,plain,
% 25.89/17.18 (~v123(constB97)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12501, 2331, 12374])).
% 25.89/17.18 tff(12503,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12504,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12505,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 25.89/17.18 tff(12506,plain,
% 25.89/17.18 (~v130(constB97, bitIndex2)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12505, 2356, 12502, 12498, 12494, 12490, 12486, 12482])).
% 25.89/17.18 tff(12507,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12508,plain,
% 25.89/17.18 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12509,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 25.89/17.18 inference(monotonicity,[status(thm)],[12508])).
% 25.89/17.18 tff(12510,plain,
% 25.89/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 25.89/17.18 inference(transitivity,[status(thm)],[12509, 12507])).
% 25.89/17.18 tff(12511,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12512,plain,
% 25.89/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12511, 12510])).
% 25.89/17.18 tff(12513,plain,
% 25.89/17.18 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12512, 665, 12423])).
% 25.89/17.18 tff(12514,plain,
% 25.89/17.18 (~v127(constB97, bitIndex2)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12513, 12506])).
% 25.89/17.18 tff(12515,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12516,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12517,plain,
% 25.89/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 25.89/17.18 tff(12518,plain,
% 25.89/17.18 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12517, 683, 12438])).
% 25.89/17.18 tff(12519,plain,
% 25.89/17.18 (~v129(constB98, bitIndex2)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12518, 12514])).
% 25.89/17.18 tff(12520,plain,
% 25.89/17.18 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12521,plain,
% 25.89/17.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 25.89/17.18 inference(quant_inst,[status(thm)],[])).
% 25.89/17.18 tff(12522,plain,
% 25.89/17.18 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 25.89/17.18 tff(12523,plain,
% 25.89/17.18 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12522, 698, 12519])).
% 25.89/17.18 tff(12524,plain,
% 25.89/17.18 (~v90(constB98, bitIndex2)),
% 25.89/17.18 inference(unit_resolution,[status(thm)],[12523, 12478])).
% 25.89/17.18 tff(12525,plain,
% 25.89/17.18 ((~v1(constB99)) <=> (~v1(constB99))),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12526,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 25.89/17.18 tff(12527,plain,
% 25.89/17.18 (~v1(constB99)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12526, 12525])).
% 25.89/17.18 tff(12528,plain,
% 25.89/17.18 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 25.89/17.18 inference(rewrite,[status(thm)],[])).
% 25.89/17.18 tff(12529,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 25.89/17.18 tff(12530,plain,
% 25.89/17.18 (nextState(constB98, constB99)),
% 25.89/17.18 inference(modus_ponens,[status(thm)],[12529, 12528])).
% 25.89/17.18 tff(12531,plain,
% 25.89/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12532,plain,
% 25.89/17.19 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12533,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12532])).
% 25.89/17.19 tff(12534,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12533, 12531])).
% 25.89/17.19 tff(12535,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12536,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12535, 12534])).
% 25.89/17.19 tff(12537,plain,
% 25.89/17.19 (~v101(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12536, 342, 12530, 12527])).
% 25.89/17.19 tff(12538,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12539,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12540,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12539, 12538])).
% 25.89/17.19 tff(12541,plain,
% 25.89/17.19 (v101(constB99) | (~v100(constB99))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12540, 359, 12530])).
% 25.89/17.19 tff(12542,plain,
% 25.89/17.19 (~v100(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12541, 12537])).
% 25.89/17.19 tff(12543,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12544,plain,
% 25.89/17.19 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12545,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12544])).
% 25.89/17.19 tff(12546,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12545, 12543])).
% 25.89/17.19 tff(12547,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12548,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 25.89/17.19 tff(12549,plain,
% 25.89/17.19 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12548, 374, 12530])).
% 25.89/17.19 tff(12550,plain,
% 25.89/17.19 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12549, 12542])).
% 25.89/17.19 tff(12551,plain,
% 25.89/17.19 (~v90(constB99, bitIndex2)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12550, 12524])).
% 25.89/17.19 tff(12552,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12553,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12554,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 25.89/17.19 tff(12555,plain,
% 25.89/17.19 (~v130(constB97, bitIndex1)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12554, 2415, 12502, 12498, 12494, 12490, 12486, 12482])).
% 25.89/17.19 tff(12556,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12557,plain,
% 25.89/17.19 ((v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1))) <=> ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12558,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12557])).
% 25.89/17.19 tff(12559,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12558, 12556])).
% 25.89/17.19 tff(12560,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12561,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12560, 12559])).
% 25.89/17.19 tff(12562,plain,
% 25.89/17.19 ((~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12561, 751, 12423])).
% 25.89/17.19 tff(12563,plain,
% 25.89/17.19 (~v127(constB97, bitIndex1)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12562, 12555])).
% 25.89/17.19 tff(12564,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12565,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12566,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12565, 12564])).
% 25.89/17.19 tff(12567,plain,
% 25.89/17.19 (v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12566, 769, 12438])).
% 25.89/17.19 tff(12568,plain,
% 25.89/17.19 (~v129(constB98, bitIndex1)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12567, 12563])).
% 25.89/17.19 tff(12569,plain,
% 25.89/17.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12570,plain,
% 25.89/17.19 (((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12571,plain,
% 25.89/17.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12570])).
% 25.89/17.19 tff(12572,plain,
% 25.89/17.19 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12571, 12569])).
% 25.89/17.19 tff(12573,plain,
% 25.89/17.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12574,plain,
% 25.89/17.19 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 25.89/17.19 tff(12575,plain,
% 25.89/17.19 ((~v90(constB98, bitIndex1)) | (~v100(constB98))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12574, 784, 12568])).
% 25.89/17.19 tff(12576,plain,
% 25.89/17.19 (~v90(constB98, bitIndex1)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12575, 12478])).
% 25.89/17.19 tff(12577,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12578,plain,
% 25.89/17.19 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12579,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12578])).
% 25.89/17.19 tff(12580,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12579, 12577])).
% 25.89/17.19 tff(12581,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12582,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 25.89/17.19 tff(12583,plain,
% 25.89/17.19 (v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12582, 395, 12530])).
% 25.89/17.19 tff(12584,plain,
% 25.89/17.19 (v90(constB98, bitIndex1) | (~v90(constB99, bitIndex1))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12583, 12542])).
% 25.89/17.19 tff(12585,plain,
% 25.89/17.19 (~v90(constB99, bitIndex1)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12584, 12576])).
% 25.89/17.19 tff(12586,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12587,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12588,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12587, 12586])).
% 25.89/17.19 tff(12589,plain,
% 25.89/17.19 (v130(constB97, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12588, 2459, 12502, 12498, 12494, 12490, 12486, 12482])).
% 25.89/17.19 tff(12590,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12591,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12592,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12591, 12590])).
% 25.89/17.19 tff(12593,plain,
% 25.89/17.19 ((~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12592, 822, 12423])).
% 25.89/17.19 tff(12594,plain,
% 25.89/17.19 (v127(constB97, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12593, 12589])).
% 25.89/17.19 tff(12595,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12596,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12597,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12596, 12595])).
% 25.89/17.19 tff(12598,plain,
% 25.89/17.19 ((~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12597, 837, 12438])).
% 25.89/17.19 tff(12599,plain,
% 25.89/17.19 (v129(constB98, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12598, 12594])).
% 25.89/17.19 tff(12600,plain,
% 25.89/17.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12601,plain,
% 25.89/17.19 ((v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12602,plain,
% 25.89/17.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12601])).
% 25.89/17.19 tff(12603,plain,
% 25.89/17.19 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12602, 12600])).
% 25.89/17.19 tff(12604,plain,
% 25.89/17.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12605,plain,
% 25.89/17.19 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 25.89/17.19 tff(12606,plain,
% 25.89/17.19 (v90(constB98, bitIndex0) | (~v100(constB98))),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12605, 852, 12599])).
% 25.89/17.19 tff(12607,plain,
% 25.89/17.19 (v90(constB98, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12606, 12478])).
% 25.89/17.19 tff(12608,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12609,plain,
% 25.89/17.19 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12610,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12609])).
% 25.89/17.19 tff(12611,plain,
% 25.89/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12610, 12608])).
% 25.89/17.19 tff(12612,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12613,plain,
% 25.89/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12612, 12611])).
% 25.89/17.19 tff(12614,plain,
% 25.89/17.19 ((~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12613, 870, 12530])).
% 25.89/17.19 tff(12615,plain,
% 25.89/17.19 ((~v90(constB98, bitIndex0)) | v90(constB99, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12614, 12542])).
% 25.89/17.19 tff(12616,plain,
% 25.89/17.19 (v90(constB99, bitIndex0)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12615, 12607])).
% 25.89/17.19 tff(12617,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12618,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12619,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 25.89/17.19 tff(12620,plain,
% 25.89/17.19 (v120(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12619, 889, 12616, 12585, 12551])).
% 25.89/17.19 tff(12621,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB99)) | v118(constB99))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12622,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12623,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB99)) | v118(constB99)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12622, 12621])).
% 25.89/17.19 tff(12624,plain,
% 25.89/17.19 (v118(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12623, 900, 12620])).
% 25.89/17.19 tff(12625,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB99)) | v117(constB99))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12626,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12627,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB99)) | v117(constB99)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 25.89/17.19 tff(12628,plain,
% 25.89/17.19 (v117(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12627, 462, 12624])).
% 25.89/17.19 tff(12629,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12630,plain,
% 25.89/17.19 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12631,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12630])).
% 25.89/17.19 tff(12632,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12631, 12629])).
% 25.89/17.19 tff(12633,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12634,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12633, 12632])).
% 25.89/17.19 tff(12635,plain,
% 25.89/17.19 (v116(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12634, 476, 12628])).
% 25.89/17.19 tff(12636,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12637,plain,
% 25.89/17.19 (((~v116(constB99)) | v115(constB99)) <=> (v115(constB99) | (~v116(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12638,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12637])).
% 25.89/17.19 tff(12639,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12638, 12636])).
% 25.89/17.19 tff(12640,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12641,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 25.89/17.19 tff(12642,plain,
% 25.89/17.19 (v115(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12641, 490, 12635])).
% 25.89/17.19 tff(12643,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12644,plain,
% 25.89/17.19 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12645,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12644])).
% 25.89/17.19 tff(12646,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12645, 12643])).
% 25.89/17.19 tff(12647,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12648,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12647, 12646])).
% 25.89/17.19 tff(12649,plain,
% 25.89/17.19 (v114(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12648, 504, 12642])).
% 25.89/17.19 tff(12650,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12651,plain,
% 25.89/17.19 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12652,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 25.89/17.19 inference(monotonicity,[status(thm)],[12651])).
% 25.89/17.19 tff(12653,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 25.89/17.19 inference(transitivity,[status(thm)],[12652, 12650])).
% 25.89/17.19 tff(12654,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12655,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12654, 12653])).
% 25.89/17.19 tff(12656,plain,
% 25.89/17.19 (v113(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12655, 518, 12649])).
% 25.89/17.19 tff(12657,assumption,(v26(constB99)), introduced(assumption)).
% 25.89/17.19 tff(12658,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12659,plain,
% 25.89/17.19 ($false),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12658, 120, 12657])).
% 25.89/17.19 tff(12660,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.19 tff(12661,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 25.89/17.19 inference(rewrite,[status(thm)],[])).
% 25.89/17.19 tff(12662,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 25.89/17.19 inference(quant_inst,[status(thm)],[])).
% 25.89/17.19 tff(12663,plain,
% 25.89/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99)),
% 25.89/17.19 inference(modus_ponens,[status(thm)],[12662, 12661])).
% 25.89/17.19 tff(12664,plain,
% 25.89/17.19 ((~v113(constB99)) | v112(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12663, 532, 12660])).
% 25.89/17.19 tff(12665,plain,
% 25.89/17.19 (v112(constB99)),
% 25.89/17.19 inference(unit_resolution,[status(thm)],[12664, 12656])).
% 25.89/17.19 tff(12666,plain,
% 25.89/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12667,plain,
% 25.89/17.20 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12668,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12667])).
% 25.89/17.20 tff(12669,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12668, 12666])).
% 25.89/17.20 tff(12670,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12671,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 25.89/17.20 tff(12672,plain,
% 25.89/17.20 (v108(constB99)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12671, 544, 12665])).
% 25.89/17.20 tff(12673,plain,
% 25.89/17.20 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12674,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 25.89/17.20 tff(12675,plain,
% 25.89/17.20 (nextState(constB99, constB100)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12674, 12673])).
% 25.89/17.20 tff(12676,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12677,plain,
% 25.89/17.20 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12678,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12677])).
% 25.89/17.20 tff(12679,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12678, 12676])).
% 25.89/17.20 tff(12680,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12681,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 25.89/17.20 tff(12682,plain,
% 25.89/17.20 (v110(constB100) | (~v108(constB99))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12681, 564, 12675])).
% 25.89/17.20 tff(12683,plain,
% 25.89/17.20 (v110(constB100)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12682, 12672])).
% 25.89/17.20 tff(12684,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12685,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12686,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 25.89/17.20 tff(12687,plain,
% 25.89/17.20 (~v104(constB100)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12686, 582, 12675, 12527])).
% 25.89/17.20 tff(12688,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12689,plain,
% 25.89/17.20 (((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12690,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12689])).
% 25.89/17.20 tff(12691,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12690, 12688])).
% 25.89/17.20 tff(12692,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12693,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | v102(constB100)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 25.89/17.20 tff(12694,plain,
% 25.89/17.20 (v104(constB100) | v102(constB100)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12693, 596, 12675])).
% 25.89/17.20 tff(12695,plain,
% 25.89/17.20 (v102(constB100)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12694, 12687])).
% 25.89/17.20 tff(12696,plain,
% 25.89/17.20 (v1(constB100) <=> v1(constB100)),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12697,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 25.89/17.20 tff(12698,plain,
% 25.89/17.20 (v1(constB100)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12697, 12696])).
% 25.89/17.20 tff(12699,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12700,plain,
% 25.89/17.20 (((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))) <=> ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12701,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12700])).
% 25.89/17.20 tff(12702,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12701, 12699])).
% 25.89/17.20 tff(12703,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12704,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | (~v1(constB100)) | v101(constB100) | (~v102(constB100))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12703, 12702])).
% 25.89/17.20 tff(12705,plain,
% 25.89/17.20 (v101(constB100) | (~v102(constB100))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12704, 617, 12675, 12698])).
% 25.89/17.20 tff(12706,plain,
% 25.89/17.20 (v101(constB100)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12705, 12695])).
% 25.89/17.20 tff(12707,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12708,plain,
% 25.89/17.20 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12709,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12708])).
% 25.89/17.20 tff(12710,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12709, 12707])).
% 25.89/17.20 tff(12711,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12712,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 25.89/17.20 tff(12713,plain,
% 25.89/17.20 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12712, 635, 12675])).
% 25.89/17.20 tff(12714,plain,
% 25.89/17.20 (v100(constB100) | (~v110(constB100))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12713, 12706])).
% 25.89/17.20 tff(12715,plain,
% 25.89/17.20 (v100(constB100)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12714, 12683])).
% 25.89/17.20 tff(12716,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12717,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12718,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12717, 12716])).
% 25.89/17.20 tff(12719,plain,
% 25.89/17.20 (~v130(constB99, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12718, 1005, 12620])).
% 25.89/17.20 tff(12720,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12721,plain,
% 25.89/17.20 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12722,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12721])).
% 25.89/17.20 tff(12723,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12722, 12720])).
% 25.89/17.20 tff(12724,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12725,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 25.89/17.20 tff(12726,plain,
% 25.89/17.20 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12725, 665, 12660])).
% 25.89/17.20 tff(12727,plain,
% 25.89/17.20 (~v127(constB99, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12726, 12719])).
% 25.89/17.20 tff(12728,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12729,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12730,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 25.89/17.20 tff(12731,plain,
% 25.89/17.20 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12730, 683, 12675])).
% 25.89/17.20 tff(12732,plain,
% 25.89/17.20 (~v129(constB100, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12731, 12727])).
% 25.89/17.20 tff(12733,plain,
% 25.89/17.20 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12734,plain,
% 25.89/17.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12735,plain,
% 25.89/17.20 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 25.89/17.20 tff(12736,plain,
% 25.89/17.20 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12735, 698, 12732])).
% 25.89/17.20 tff(12737,plain,
% 25.89/17.20 (~v90(constB100, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12736, 12715])).
% 25.89/17.20 tff(12738,plain,
% 25.89/17.20 ((~v1(constB101)) <=> (~v1(constB101))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12739,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 25.89/17.20 tff(12740,plain,
% 25.89/17.20 (~v1(constB101)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12739, 12738])).
% 25.89/17.20 tff(12741,plain,
% 25.89/17.20 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12742,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 25.89/17.20 tff(12743,plain,
% 25.89/17.20 (nextState(constB100, constB101)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 25.89/17.20 tff(12744,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12745,plain,
% 25.89/17.20 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12746,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12745])).
% 25.89/17.20 tff(12747,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12746, 12744])).
% 25.89/17.20 tff(12748,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12749,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 25.89/17.20 tff(12750,plain,
% 25.89/17.20 (~v101(constB101)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12749, 342, 12743, 12740])).
% 25.89/17.20 tff(12751,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12752,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12753,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 25.89/17.20 tff(12754,plain,
% 25.89/17.20 (v101(constB101) | (~v100(constB101))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12753, 359, 12743])).
% 25.89/17.20 tff(12755,plain,
% 25.89/17.20 (~v100(constB101)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12754, 12750])).
% 25.89/17.20 tff(12756,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12757,plain,
% 25.89/17.20 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12758,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12757])).
% 25.89/17.20 tff(12759,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12758, 12756])).
% 25.89/17.20 tff(12760,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12761,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 25.89/17.20 tff(12762,plain,
% 25.89/17.20 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12761, 374, 12743])).
% 25.89/17.20 tff(12763,plain,
% 25.89/17.20 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12762, 12755])).
% 25.89/17.20 tff(12764,plain,
% 25.89/17.20 (~v90(constB101, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12763, 12737])).
% 25.89/17.20 tff(12765,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12766,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12767,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 25.89/17.20 tff(12768,plain,
% 25.89/17.20 (v130(constB99, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12767, 1061, 12620])).
% 25.89/17.20 tff(12769,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12770,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12771,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12770, 12769])).
% 25.89/17.20 tff(12772,plain,
% 25.89/17.20 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12771, 1075, 12660])).
% 25.89/17.20 tff(12773,plain,
% 25.89/17.20 (v127(constB99, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12772, 12768])).
% 25.89/17.20 tff(12774,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12775,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12776,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 25.89/17.20 tff(12777,plain,
% 25.89/17.20 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12776, 1090, 12675])).
% 25.89/17.20 tff(12778,plain,
% 25.89/17.20 (v129(constB100, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12777, 12773])).
% 25.89/17.20 tff(12779,plain,
% 25.89/17.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12780,plain,
% 25.89/17.20 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12781,plain,
% 25.89/17.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12780])).
% 25.89/17.20 tff(12782,plain,
% 25.89/17.20 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12781, 12779])).
% 25.89/17.20 tff(12783,plain,
% 25.89/17.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12784,plain,
% 25.89/17.20 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 25.89/17.20 tff(12785,plain,
% 25.89/17.20 (v90(constB100, bitIndex1) | (~v100(constB100))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12784, 1105, 12778])).
% 25.89/17.20 tff(12786,plain,
% 25.89/17.20 (v90(constB100, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12785, 12715])).
% 25.89/17.20 tff(12787,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12788,plain,
% 25.89/17.20 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12789,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[12788])).
% 25.89/17.20 tff(12790,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.89/17.20 inference(transitivity,[status(thm)],[12789, 12787])).
% 25.89/17.20 tff(12791,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12792,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12791, 12790])).
% 25.89/17.20 tff(12793,plain,
% 25.89/17.20 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12792, 1123, 12743])).
% 25.89/17.20 tff(12794,plain,
% 25.89/17.20 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12793, 12755])).
% 25.89/17.20 tff(12795,plain,
% 25.89/17.20 (v90(constB101, bitIndex1)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12794, 12786])).
% 25.89/17.20 tff(12796,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(12797,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(12798,plain,
% 25.89/17.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 25.89/17.20 tff(12799,plain,
% 25.89/17.20 (~v130(constB99, bitIndex0)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[12798, 1139, 12620])).
% 25.89/17.20 tff(12800,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12801,plain,
% 25.89/17.21 ((v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0))) <=> ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12802,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12801])).
% 25.89/17.21 tff(12803,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12802, 12800])).
% 25.89/17.21 tff(12804,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12805,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12804, 12803])).
% 25.89/17.21 tff(12806,plain,
% 25.89/17.21 ((~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12805, 1153, 12660])).
% 25.89/17.21 tff(12807,plain,
% 25.89/17.21 (~v127(constB99, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12806, 12799])).
% 25.89/17.21 tff(12808,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12809,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12810,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 25.89/17.21 tff(12811,plain,
% 25.89/17.21 (v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12810, 1171, 12675])).
% 25.89/17.21 tff(12812,plain,
% 25.89/17.21 (~v129(constB100, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12811, 12807])).
% 25.89/17.21 tff(12813,plain,
% 25.89/17.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12814,plain,
% 25.89/17.21 (((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12815,plain,
% 25.89/17.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12814])).
% 25.89/17.21 tff(12816,plain,
% 25.89/17.21 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12815, 12813])).
% 25.89/17.21 tff(12817,plain,
% 25.89/17.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12818,plain,
% 25.89/17.21 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 25.89/17.21 tff(12819,plain,
% 25.89/17.21 ((~v90(constB100, bitIndex0)) | (~v100(constB100))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12818, 1186, 12812])).
% 25.89/17.21 tff(12820,plain,
% 25.89/17.21 (~v90(constB100, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12819, 12715])).
% 25.89/17.21 tff(12821,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12822,plain,
% 25.89/17.21 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12823,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12822])).
% 25.89/17.21 tff(12824,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12823, 12821])).
% 25.89/17.21 tff(12825,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12826,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12825, 12824])).
% 25.89/17.21 tff(12827,plain,
% 25.89/17.21 (v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12826, 416, 12743])).
% 25.89/17.21 tff(12828,plain,
% 25.89/17.21 (v90(constB100, bitIndex0) | (~v90(constB101, bitIndex0))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12827, 12755])).
% 25.89/17.21 tff(12829,plain,
% 25.89/17.21 (~v90(constB101, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12828, 12820])).
% 25.89/17.21 tff(12830,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12831,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12832,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 25.89/17.21 tff(12833,plain,
% 25.89/17.21 (v121(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12832, 1213, 12829, 12795, 12764])).
% 25.89/17.21 tff(12834,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB101)) | v117(constB101))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12835,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12836,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB101)) | v117(constB101)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 25.89/17.21 tff(12837,plain,
% 25.89/17.21 (v117(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12836, 1224, 12833])).
% 25.89/17.21 tff(12838,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12839,plain,
% 25.89/17.21 (((~v117(constB101)) | v116(constB101)) <=> (v116(constB101) | (~v117(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12840,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12839])).
% 25.89/17.21 tff(12841,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12840, 12838])).
% 25.89/17.21 tff(12842,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12843,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 25.89/17.21 tff(12844,plain,
% 25.89/17.21 (v116(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12843, 476, 12837])).
% 25.89/17.21 tff(12845,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB101)) | v115(constB101))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12846,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12847,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB101)) | v115(constB101)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 25.89/17.21 tff(12848,plain,
% 25.89/17.21 (v115(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12847, 490, 12844])).
% 25.89/17.21 tff(12849,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12850,plain,
% 25.89/17.21 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12851,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12850])).
% 25.89/17.21 tff(12852,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12851, 12849])).
% 25.89/17.21 tff(12853,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12854,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12853, 12852])).
% 25.89/17.21 tff(12855,plain,
% 25.89/17.21 (v114(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12854, 504, 12848])).
% 25.89/17.21 tff(12856,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12857,plain,
% 25.89/17.21 (((~v114(constB101)) | v113(constB101)) <=> (v113(constB101) | (~v114(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12858,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB101) | (~v114(constB101))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12857])).
% 25.89/17.21 tff(12859,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12858, 12856])).
% 25.89/17.21 tff(12860,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12861,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12860, 12859])).
% 25.89/17.21 tff(12862,plain,
% 25.89/17.21 (v113(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12861, 518, 12855])).
% 25.89/17.21 tff(12863,assumption,(v26(constB101)), introduced(assumption)).
% 25.89/17.21 tff(12864,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12865,plain,
% 25.89/17.21 ($false),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12864, 120, 12863])).
% 25.89/17.21 tff(12866,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.21 tff(12867,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12868,plain,
% 25.89/17.21 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12869,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12868])).
% 25.89/17.21 tff(12870,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12869, 12867])).
% 25.89/17.21 tff(12871,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12872,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 25.89/17.21 tff(12873,plain,
% 25.89/17.21 (v112(constB101) | (~v113(constB101))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12872, 532, 12866])).
% 25.89/17.21 tff(12874,plain,
% 25.89/17.21 (v112(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12873, 12862])).
% 25.89/17.21 tff(12875,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12876,plain,
% 25.89/17.21 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12877,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12876])).
% 25.89/17.21 tff(12878,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12877, 12875])).
% 25.89/17.21 tff(12879,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12880,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 25.89/17.21 tff(12881,plain,
% 25.89/17.21 (v108(constB101)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12880, 544, 12874])).
% 25.89/17.21 tff(12882,plain,
% 25.89/17.21 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12883,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 25.89/17.21 tff(12884,plain,
% 25.89/17.21 (nextState(constB101, constB102)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 25.89/17.21 tff(12885,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12886,plain,
% 25.89/17.21 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12887,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12886])).
% 25.89/17.21 tff(12888,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12887, 12885])).
% 25.89/17.21 tff(12889,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12890,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12889, 12888])).
% 25.89/17.21 tff(12891,plain,
% 25.89/17.21 (v110(constB102) | (~v108(constB101))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12890, 564, 12884])).
% 25.89/17.21 tff(12892,plain,
% 25.89/17.21 (v110(constB102)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12891, 12881])).
% 25.89/17.21 tff(12893,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12894,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12895,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12894, 12893])).
% 25.89/17.21 tff(12896,plain,
% 25.89/17.21 (~v104(constB102)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12895, 582, 12884, 12740])).
% 25.89/17.21 tff(12897,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12898,plain,
% 25.89/17.21 (((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12899,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12898])).
% 25.89/17.21 tff(12900,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12899, 12897])).
% 25.89/17.21 tff(12901,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(12902,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | v102(constB102)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 25.89/17.21 tff(12903,plain,
% 25.89/17.21 (v104(constB102) | v102(constB102)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12902, 596, 12884])).
% 25.89/17.21 tff(12904,plain,
% 25.89/17.21 (v102(constB102)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[12903, 12896])).
% 25.89/17.21 tff(12905,plain,
% 25.89/17.21 (v1(constB102) <=> v1(constB102)),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12906,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 25.89/17.21 tff(12907,plain,
% 25.89/17.21 (v1(constB102)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[12906, 12905])).
% 25.89/17.21 tff(12908,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12909,plain,
% 25.89/17.21 (((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))) <=> ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(12910,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[12909])).
% 25.89/17.21 tff(12911,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[12910, 12908])).
% 25.89/17.21 tff(12912,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 25.95/17.21 inference(quant_inst,[status(thm)],[])).
% 25.95/17.21 tff(12913,plain,
% 25.95/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | (~v1(constB102)) | v101(constB102) | (~v102(constB102))),
% 25.95/17.21 inference(modus_ponens,[status(thm)],[12912, 12911])).
% 25.95/17.21 tff(12914,plain,
% 25.95/17.21 (v101(constB102) | (~v102(constB102))),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12913, 617, 12884, 12907])).
% 25.95/17.21 tff(12915,plain,
% 25.95/17.21 (v101(constB102)),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12914, 12904])).
% 25.95/17.21 tff(12916,plain,
% 25.95/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 25.95/17.21 inference(rewrite,[status(thm)],[])).
% 25.95/17.21 tff(12917,plain,
% 25.95/17.21 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 25.95/17.21 inference(rewrite,[status(thm)],[])).
% 25.95/17.21 tff(12918,plain,
% 25.95/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 25.95/17.21 inference(monotonicity,[status(thm)],[12917])).
% 25.95/17.21 tff(12919,plain,
% 25.95/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 25.95/17.21 inference(transitivity,[status(thm)],[12918, 12916])).
% 25.95/17.21 tff(12920,plain,
% 25.95/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 25.95/17.21 inference(quant_inst,[status(thm)],[])).
% 25.95/17.21 tff(12921,plain,
% 25.95/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 25.95/17.21 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 25.95/17.21 tff(12922,plain,
% 25.95/17.21 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12921, 635, 12884])).
% 25.95/17.21 tff(12923,plain,
% 25.95/17.21 (v100(constB102) | (~v110(constB102))),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12922, 12915])).
% 25.95/17.21 tff(12924,plain,
% 25.95/17.21 (v100(constB102)),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12923, 12892])).
% 25.95/17.21 tff(12925,plain,
% 25.95/17.21 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 25.95/17.21 inference(rewrite,[status(thm)],[])).
% 25.95/17.21 tff(12926,plain,
% 25.95/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 25.95/17.21 inference(quant_inst,[status(thm)],[])).
% 25.95/17.21 tff(12927,plain,
% 25.95/17.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2))),
% 25.95/17.21 inference(modus_ponens,[status(thm)],[12926, 12925])).
% 25.95/17.21 tff(12928,plain,
% 25.95/17.21 (~v130(constB101, bitIndex2)),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12927, 1325, 12833])).
% 25.95/17.21 tff(12929,plain,
% 25.95/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 25.95/17.21 inference(rewrite,[status(thm)],[])).
% 25.95/17.21 tff(12930,plain,
% 25.95/17.21 ((v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2))) <=> ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 25.95/17.21 inference(rewrite,[status(thm)],[])).
% 25.95/17.21 tff(12931,plain,
% 25.95/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)))),
% 25.95/17.21 inference(monotonicity,[status(thm)],[12930])).
% 25.95/17.21 tff(12932,plain,
% 25.95/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 25.95/17.21 inference(transitivity,[status(thm)],[12931, 12929])).
% 25.95/17.21 tff(12933,plain,
% 25.95/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))),
% 25.95/17.21 inference(quant_inst,[status(thm)],[])).
% 25.95/17.21 tff(12934,plain,
% 25.95/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)),
% 25.95/17.21 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 25.95/17.21 tff(12935,plain,
% 25.95/17.21 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12934, 665, 12866])).
% 25.95/17.21 tff(12936,plain,
% 25.95/17.21 (~v127(constB101, bitIndex2)),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12935, 12928])).
% 25.95/17.21 tff(12937,plain,
% 25.95/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 25.95/17.21 inference(rewrite,[status(thm)],[])).
% 25.95/17.21 tff(12938,plain,
% 25.95/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 25.95/17.21 inference(quant_inst,[status(thm)],[])).
% 25.95/17.21 tff(12939,plain,
% 25.95/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 25.95/17.21 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 25.95/17.21 tff(12940,plain,
% 25.95/17.21 (v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12939, 683, 12884])).
% 25.95/17.21 tff(12941,plain,
% 25.95/17.21 (~v129(constB102, bitIndex2)),
% 25.95/17.21 inference(unit_resolution,[status(thm)],[12940, 12936])).
% 25.95/17.22 tff(12942,plain,
% 25.95/17.22 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12943,plain,
% 25.95/17.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12944,plain,
% 25.95/17.22 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12943, 12942])).
% 25.95/17.22 tff(12945,plain,
% 25.95/17.22 ((~v90(constB102, bitIndex2)) | (~v100(constB102))),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12944, 698, 12941])).
% 25.95/17.22 tff(12946,plain,
% 25.95/17.22 (~v90(constB102, bitIndex2)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12945, 12924])).
% 25.95/17.22 tff(12947,plain,
% 25.95/17.22 ((~v1(constB103)) <=> (~v1(constB103))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12948,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 25.95/17.22 tff(12949,plain,
% 25.95/17.22 (~v1(constB103)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 25.95/17.22 tff(12950,plain,
% 25.95/17.22 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12951,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 25.95/17.22 tff(12952,plain,
% 25.95/17.22 (nextState(constB102, constB103)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 25.95/17.22 tff(12953,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12954,plain,
% 25.95/17.22 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12955,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[12954])).
% 25.95/17.22 tff(12956,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[12955, 12953])).
% 25.95/17.22 tff(12957,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12958,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12957, 12956])).
% 25.95/17.22 tff(12959,plain,
% 25.95/17.22 (~v101(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12958, 342, 12952, 12949])).
% 25.95/17.22 tff(12960,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12961,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12962,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12961, 12960])).
% 25.95/17.22 tff(12963,plain,
% 25.95/17.22 (v101(constB103) | (~v100(constB103))),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12962, 359, 12952])).
% 25.95/17.22 tff(12964,plain,
% 25.95/17.22 (~v100(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12963, 12959])).
% 25.95/17.22 tff(12965,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12966,plain,
% 25.95/17.22 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12967,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[12966])).
% 25.95/17.22 tff(12968,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[12967, 12965])).
% 25.95/17.22 tff(12969,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12970,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12969, 12968])).
% 25.95/17.22 tff(12971,plain,
% 25.95/17.22 (v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12970, 374, 12952])).
% 25.95/17.22 tff(12972,plain,
% 25.95/17.22 (v90(constB102, bitIndex2) | (~v90(constB103, bitIndex2))),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12971, 12964])).
% 25.95/17.22 tff(12973,plain,
% 25.95/17.22 (~v90(constB103, bitIndex2)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12972, 12946])).
% 25.95/17.22 tff(12974,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12975,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12976,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12975, 12974])).
% 25.95/17.22 tff(12977,plain,
% 25.95/17.22 (v130(constB101, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12976, 1375, 12833])).
% 25.95/17.22 tff(12978,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12979,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12980,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 25.95/17.22 tff(12981,plain,
% 25.95/17.22 ((~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12980, 1075, 12866])).
% 25.95/17.22 tff(12982,plain,
% 25.95/17.22 (v127(constB101, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12981, 12977])).
% 25.95/17.22 tff(12983,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12984,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12985,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12984, 12983])).
% 25.95/17.22 tff(12986,plain,
% 25.95/17.22 ((~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12985, 1090, 12884])).
% 25.95/17.22 tff(12987,plain,
% 25.95/17.22 (v129(constB102, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12986, 12982])).
% 25.95/17.22 tff(12988,plain,
% 25.95/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12989,plain,
% 25.95/17.22 ((v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12990,plain,
% 25.95/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[12989])).
% 25.95/17.22 tff(12991,plain,
% 25.95/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[12990, 12988])).
% 25.95/17.22 tff(12992,plain,
% 25.95/17.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(12993,plain,
% 25.95/17.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 25.95/17.22 tff(12994,plain,
% 25.95/17.22 (v90(constB102, bitIndex1) | (~v100(constB102))),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12993, 1105, 12987])).
% 25.95/17.22 tff(12995,plain,
% 25.95/17.22 (v90(constB102, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[12994, 12924])).
% 25.95/17.22 tff(12996,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12997,plain,
% 25.95/17.22 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(12998,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[12997])).
% 25.95/17.22 tff(12999,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 25.95/17.22 inference(transitivity,[status(thm)],[12998, 12996])).
% 25.95/17.22 tff(13000,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13001,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 25.95/17.22 tff(13002,plain,
% 25.95/17.22 ((~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13001, 1123, 12952])).
% 25.95/17.22 tff(13003,plain,
% 25.95/17.22 ((~v90(constB102, bitIndex1)) | v90(constB103, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13002, 12964])).
% 25.95/17.22 tff(13004,plain,
% 25.95/17.22 (v90(constB103, bitIndex1)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13003, 12995])).
% 25.95/17.22 tff(13005,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13006,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13007,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13006, 13005])).
% 25.95/17.22 tff(13008,plain,
% 25.95/17.22 (v130(constB101, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13007, 1413, 12833])).
% 25.95/17.22 tff(13009,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13010,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13011,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13010, 13009])).
% 25.95/17.22 tff(13012,plain,
% 25.95/17.22 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13011, 822, 12866])).
% 25.95/17.22 tff(13013,plain,
% 25.95/17.22 (v127(constB101, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13012, 13008])).
% 25.95/17.22 tff(13014,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13015,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13016,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 25.95/17.22 tff(13017,plain,
% 25.95/17.22 ((~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13016, 837, 12884])).
% 25.95/17.22 tff(13018,plain,
% 25.95/17.22 (v129(constB102, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13017, 13013])).
% 25.95/17.22 tff(13019,plain,
% 25.95/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13020,plain,
% 25.95/17.22 ((v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13021,plain,
% 25.95/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13020])).
% 25.95/17.22 tff(13022,plain,
% 25.95/17.22 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13021, 13019])).
% 25.95/17.22 tff(13023,plain,
% 25.95/17.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13024,plain,
% 25.95/17.22 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 25.95/17.22 tff(13025,plain,
% 25.95/17.22 (v90(constB102, bitIndex0) | (~v100(constB102))),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13024, 852, 13018])).
% 25.95/17.22 tff(13026,plain,
% 25.95/17.22 (v90(constB102, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13025, 12924])).
% 25.95/17.22 tff(13027,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13028,plain,
% 25.95/17.22 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13029,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13028])).
% 25.95/17.22 tff(13030,plain,
% 25.95/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13029, 13027])).
% 25.95/17.22 tff(13031,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13032,plain,
% 25.95/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13031, 13030])).
% 25.95/17.22 tff(13033,plain,
% 25.95/17.22 ((~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13032, 870, 12952])).
% 25.95/17.22 tff(13034,plain,
% 25.95/17.22 ((~v90(constB102, bitIndex0)) | v90(constB103, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13033, 12964])).
% 25.95/17.22 tff(13035,plain,
% 25.95/17.22 (v90(constB103, bitIndex0)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13034, 13026])).
% 25.95/17.22 tff(13036,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13037,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13038,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103)),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 25.95/17.22 tff(13039,plain,
% 25.95/17.22 (v122(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13038, 1454, 13035, 13004, 12973])).
% 25.95/17.22 tff(13040,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB103) | (~v122(constB103)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v122(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13041,plain,
% 25.95/17.22 (((~v122(constB103)) | v116(constB103)) <=> (v116(constB103) | (~v122(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13042,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB103) | (~v122(constB103))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13041])).
% 25.95/17.22 tff(13043,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v122(constB103)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13042, 13040])).
% 25.95/17.22 tff(13044,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13045,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v122(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13044, 13043])).
% 25.95/17.22 tff(13046,plain,
% 25.95/17.22 (v116(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13045, 1465, 13039])).
% 25.95/17.22 tff(13047,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13048,plain,
% 25.95/17.22 (((~v116(constB103)) | v115(constB103)) <=> (v115(constB103) | (~v116(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13049,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13048])).
% 25.95/17.22 tff(13050,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13049, 13047])).
% 25.95/17.22 tff(13051,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13052,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 25.95/17.22 tff(13053,plain,
% 25.95/17.22 (v115(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13052, 490, 13046])).
% 25.95/17.22 tff(13054,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13055,plain,
% 25.95/17.22 (((~v115(constB103)) | v114(constB103)) <=> (v114(constB103) | (~v115(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13056,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13055])).
% 25.95/17.22 tff(13057,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13056, 13054])).
% 25.95/17.22 tff(13058,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13059,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13058, 13057])).
% 25.95/17.22 tff(13060,plain,
% 25.95/17.22 (v114(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13059, 504, 13053])).
% 25.95/17.22 tff(13061,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13062,plain,
% 25.95/17.22 (((~v114(constB103)) | v113(constB103)) <=> (v113(constB103) | (~v114(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13063,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13062])).
% 25.95/17.22 tff(13064,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13063, 13061])).
% 25.95/17.22 tff(13065,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13066,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13065, 13064])).
% 25.95/17.22 tff(13067,plain,
% 25.95/17.22 (v113(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13066, 518, 13060])).
% 25.95/17.22 tff(13068,assumption,(~v108(constB103)), introduced(assumption)).
% 25.95/17.22 tff(13069,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13070,plain,
% 25.95/17.22 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 25.95/17.22 inference(rewrite,[status(thm)],[])).
% 25.95/17.22 tff(13071,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 25.95/17.22 inference(monotonicity,[status(thm)],[13070])).
% 25.95/17.22 tff(13072,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 25.95/17.22 inference(transitivity,[status(thm)],[13071, 13069])).
% 25.95/17.22 tff(13073,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 25.95/17.22 inference(quant_inst,[status(thm)],[])).
% 25.95/17.22 tff(13074,plain,
% 25.95/17.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 25.95/17.22 inference(modus_ponens,[status(thm)],[13073, 13072])).
% 25.95/17.22 tff(13075,plain,
% 25.95/17.22 (~v112(constB103)),
% 25.95/17.22 inference(unit_resolution,[status(thm)],[13074, 544, 13068])).
% 25.95/17.22 tff(13076,plain,
% 25.95/17.22 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v26(constB103)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v26(constB103)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13077,plain,
% 25.95/17.23 (((~v26(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v26(constB103)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13078,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v26(constB103))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13077])).
% 25.95/17.23 tff(13079,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v26(constB103)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13078, 13076])).
% 25.95/17.23 tff(13080,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB103)) | v108(constB103))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13081,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v26(constB103))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 25.95/17.23 tff(13082,plain,
% 25.95/17.23 (~v26(constB103)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13081, 1770, 13068])).
% 25.95/17.23 tff(13083,assumption,(v113(constB103)), introduced(assumption)).
% 25.95/17.23 tff(13084,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13085,plain,
% 25.95/17.23 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13086,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13085])).
% 25.95/17.23 tff(13087,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13086, 13084])).
% 25.95/17.23 tff(13088,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13089,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 25.95/17.23 tff(13090,plain,
% 25.95/17.23 (v26(constB103) | v112(constB103)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13089, 532, 13083])).
% 25.95/17.23 tff(13091,plain,
% 25.95/17.23 ($false),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13090, 13082, 13075])).
% 25.95/17.23 tff(13092,plain,(v108(constB103) | (~v113(constB103))), inference(lemma,lemma(discharge,[]))).
% 25.95/17.23 tff(13093,plain,
% 25.95/17.23 (v108(constB103)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13092, 13067])).
% 25.95/17.23 tff(13094,plain,
% 25.95/17.23 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13095,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 25.95/17.23 tff(13096,plain,
% 25.95/17.23 (nextState(constB103, constB104)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13095, 13094])).
% 25.95/17.23 tff(13097,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13098,plain,
% 25.95/17.23 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13099,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13098])).
% 25.95/17.23 tff(13100,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13099, 13097])).
% 25.95/17.23 tff(13101,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13102,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 25.95/17.23 tff(13103,plain,
% 25.95/17.23 (v110(constB104) | (~v108(constB103))),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13102, 564, 13096])).
% 25.95/17.23 tff(13104,plain,
% 25.95/17.23 (v110(constB104)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13103, 13093])).
% 25.95/17.23 tff(13105,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13106,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13107,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 25.95/17.23 tff(13108,plain,
% 25.95/17.23 (~v104(constB104)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13107, 582, 13096, 12949])).
% 25.95/17.23 tff(13109,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13110,plain,
% 25.95/17.23 (((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13111,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13110])).
% 25.95/17.23 tff(13112,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13111, 13109])).
% 25.95/17.23 tff(13113,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13114,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | v102(constB104)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13113, 13112])).
% 25.95/17.23 tff(13115,plain,
% 25.95/17.23 (v104(constB104) | v102(constB104)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13114, 596, 13096])).
% 25.95/17.23 tff(13116,plain,
% 25.95/17.23 (v102(constB104)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13115, 13108])).
% 25.95/17.23 tff(13117,plain,
% 25.95/17.23 (v1(constB104) <=> v1(constB104)),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13118,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 25.95/17.23 tff(13119,plain,
% 25.95/17.23 (v1(constB104)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 25.95/17.23 tff(13120,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13121,plain,
% 25.95/17.23 (((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))) <=> ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13122,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13121])).
% 25.95/17.23 tff(13123,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13122, 13120])).
% 25.95/17.23 tff(13124,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13125,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | (~v1(constB104)) | v101(constB104) | (~v102(constB104))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13124, 13123])).
% 25.95/17.23 tff(13126,plain,
% 25.95/17.23 (v101(constB104) | (~v102(constB104))),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13125, 617, 13096, 13119])).
% 25.95/17.23 tff(13127,plain,
% 25.95/17.23 (v101(constB104)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13126, 13116])).
% 25.95/17.23 tff(13128,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13129,plain,
% 25.95/17.23 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13130,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13129])).
% 25.95/17.23 tff(13131,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13130, 13128])).
% 25.95/17.23 tff(13132,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13133,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13132, 13131])).
% 25.95/17.23 tff(13134,plain,
% 25.95/17.23 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13133, 635, 13096])).
% 25.95/17.23 tff(13135,plain,
% 25.95/17.23 (v100(constB104) | (~v110(constB104))),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13134, 13127])).
% 25.95/17.23 tff(13136,plain,
% 25.95/17.23 (v100(constB104)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13135, 13104])).
% 25.95/17.23 tff(13137,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13138,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13139,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13138, 13137])).
% 25.95/17.23 tff(13140,plain,
% 25.95/17.23 (v130(constB103, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13139, 1546, 13039])).
% 25.95/17.23 tff(13141,assumption,(v26(constB103)), introduced(assumption)).
% 25.95/17.23 tff(13142,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13143,plain,
% 25.95/17.23 ($false),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13142, 120, 13141])).
% 25.95/17.23 tff(13144,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 25.95/17.23 tff(13145,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13146,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13147,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13146, 13145])).
% 25.95/17.23 tff(13148,plain,
% 25.95/17.23 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13147, 1560, 13144])).
% 25.95/17.23 tff(13149,plain,
% 25.95/17.23 (v127(constB103, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13148, 13140])).
% 25.95/17.23 tff(13150,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13151,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13152,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13151, 13150])).
% 25.95/17.23 tff(13153,plain,
% 25.95/17.23 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13152, 1575, 13096])).
% 25.95/17.23 tff(13154,plain,
% 25.95/17.23 (v129(constB104, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13153, 13149])).
% 25.95/17.23 tff(13155,plain,
% 25.95/17.23 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13156,plain,
% 25.95/17.23 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13157,plain,
% 25.95/17.23 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13156])).
% 25.95/17.23 tff(13158,plain,
% 25.95/17.23 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13157, 13155])).
% 25.95/17.23 tff(13159,plain,
% 25.95/17.23 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13160,plain,
% 25.95/17.23 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13159, 13158])).
% 25.95/17.23 tff(13161,plain,
% 25.95/17.23 (v90(constB104, bitIndex2) | (~v100(constB104))),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13160, 1590, 13154])).
% 25.95/17.23 tff(13162,plain,
% 25.95/17.23 (v90(constB104, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13161, 13136])).
% 25.95/17.23 tff(13163,plain,
% 25.95/17.23 ((~v1(constB105)) <=> (~v1(constB105))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13164,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 25.95/17.23 tff(13165,plain,
% 25.95/17.23 (~v1(constB105)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13164, 13163])).
% 25.95/17.23 tff(13166,plain,
% 25.95/17.23 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13167,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 25.95/17.23 tff(13168,plain,
% 25.95/17.23 (nextState(constB104, constB105)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 25.95/17.23 tff(13169,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13170,plain,
% 25.95/17.23 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13171,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13170])).
% 25.95/17.23 tff(13172,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13171, 13169])).
% 25.95/17.23 tff(13173,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13174,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13173, 13172])).
% 25.95/17.23 tff(13175,plain,
% 25.95/17.23 (~v101(constB105)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13174, 342, 13168, 13165])).
% 25.95/17.23 tff(13176,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13177,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13178,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 25.95/17.23 tff(13179,plain,
% 25.95/17.23 (v101(constB105) | (~v100(constB105))),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13178, 359, 13168])).
% 25.95/17.23 tff(13180,plain,
% 25.95/17.23 (~v100(constB105)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13179, 13175])).
% 25.95/17.23 tff(13181,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13182,plain,
% 25.95/17.23 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13183,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13182])).
% 25.95/17.23 tff(13184,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13183, 13181])).
% 25.95/17.23 tff(13185,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13186,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 25.95/17.23 tff(13187,plain,
% 25.95/17.23 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13186, 1626, 13168])).
% 25.95/17.23 tff(13188,plain,
% 25.95/17.23 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13187, 13180])).
% 25.95/17.23 tff(13189,plain,
% 25.95/17.23 (v90(constB105, bitIndex2)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13188, 13162])).
% 25.95/17.23 tff(13190,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13191,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13192,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13191, 13190])).
% 25.95/17.23 tff(13193,plain,
% 25.95/17.23 (~v130(constB103, bitIndex1)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13192, 1642, 13039])).
% 25.95/17.23 tff(13194,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13195,plain,
% 25.95/17.23 ((v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1))) <=> ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13196,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)))),
% 25.95/17.23 inference(monotonicity,[status(thm)],[13195])).
% 25.95/17.23 tff(13197,plain,
% 25.95/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 25.95/17.23 inference(transitivity,[status(thm)],[13196, 13194])).
% 25.95/17.23 tff(13198,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13199,plain,
% 25.95/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 25.95/17.23 tff(13200,plain,
% 25.95/17.23 ((~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13199, 751, 13144])).
% 25.95/17.23 tff(13201,plain,
% 25.95/17.23 (~v127(constB103, bitIndex1)),
% 25.95/17.23 inference(unit_resolution,[status(thm)],[13200, 13193])).
% 25.95/17.23 tff(13202,plain,
% 25.95/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 25.95/17.23 inference(rewrite,[status(thm)],[])).
% 25.95/17.23 tff(13203,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 25.95/17.23 inference(quant_inst,[status(thm)],[])).
% 25.95/17.23 tff(13204,plain,
% 25.95/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 25.95/17.23 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 25.95/17.23 tff(13205,plain,
% 25.95/17.23 (v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13204, 769, 13096])).
% 25.95/17.24 tff(13206,plain,
% 25.95/17.24 (~v129(constB104, bitIndex1)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13205, 13201])).
% 25.95/17.24 tff(13207,plain,
% 25.95/17.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13208,plain,
% 25.95/17.24 (((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13209,plain,
% 25.95/17.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13208])).
% 25.95/17.24 tff(13210,plain,
% 25.95/17.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13209, 13207])).
% 25.95/17.24 tff(13211,plain,
% 25.95/17.24 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13212,plain,
% 25.95/17.24 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13211, 13210])).
% 25.95/17.24 tff(13213,plain,
% 25.95/17.24 ((~v90(constB104, bitIndex1)) | (~v100(constB104))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13212, 784, 13206])).
% 25.95/17.24 tff(13214,plain,
% 25.95/17.24 (~v90(constB104, bitIndex1)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13213, 13136])).
% 25.95/17.24 tff(13215,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13216,plain,
% 25.95/17.24 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13217,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13216])).
% 25.95/17.24 tff(13218,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13217, 13215])).
% 25.95/17.24 tff(13219,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13220,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13219, 13218])).
% 25.95/17.24 tff(13221,plain,
% 25.95/17.24 (v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13220, 395, 13168])).
% 25.95/17.24 tff(13222,plain,
% 25.95/17.24 (v90(constB104, bitIndex1) | (~v90(constB105, bitIndex1))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13221, 13180])).
% 25.95/17.24 tff(13223,plain,
% 25.95/17.24 (~v90(constB105, bitIndex1)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13222, 13214])).
% 25.95/17.24 tff(13224,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13225,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13226,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 25.95/17.24 tff(13227,plain,
% 25.95/17.24 (~v130(constB103, bitIndex0)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13226, 1683, 13039])).
% 25.95/17.24 tff(13228,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13229,plain,
% 25.95/17.24 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13230,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13229])).
% 25.95/17.24 tff(13231,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13230, 13228])).
% 25.95/17.24 tff(13232,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13233,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 25.95/17.24 tff(13234,plain,
% 25.95/17.24 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13233, 1153, 13144])).
% 25.95/17.24 tff(13235,plain,
% 25.95/17.24 (~v127(constB103, bitIndex0)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13234, 13227])).
% 25.95/17.24 tff(13236,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13237,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13238,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13237, 13236])).
% 25.95/17.24 tff(13239,plain,
% 25.95/17.24 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13238, 1171, 13096])).
% 25.95/17.24 tff(13240,plain,
% 25.95/17.24 (~v129(constB104, bitIndex0)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13239, 13235])).
% 25.95/17.24 tff(13241,plain,
% 25.95/17.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13242,plain,
% 25.95/17.24 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13243,plain,
% 25.95/17.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13242])).
% 25.95/17.24 tff(13244,plain,
% 25.95/17.24 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13243, 13241])).
% 25.95/17.24 tff(13245,plain,
% 25.95/17.24 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13246,plain,
% 25.95/17.24 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 25.95/17.24 tff(13247,plain,
% 25.95/17.24 ((~v90(constB104, bitIndex0)) | (~v100(constB104))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13246, 1186, 13240])).
% 25.95/17.24 tff(13248,plain,
% 25.95/17.24 (~v90(constB104, bitIndex0)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13247, 13136])).
% 25.95/17.24 tff(13249,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13250,plain,
% 25.95/17.24 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13251,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13250])).
% 25.95/17.24 tff(13252,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13251, 13249])).
% 25.95/17.24 tff(13253,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13254,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13253, 13252])).
% 25.95/17.24 tff(13255,plain,
% 25.95/17.24 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13254, 416, 13168])).
% 25.95/17.24 tff(13256,plain,
% 25.95/17.24 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13255, 13180])).
% 25.95/17.24 tff(13257,plain,
% 25.95/17.24 (~v90(constB105, bitIndex0)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13256, 13248])).
% 25.95/17.24 tff(13258,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13259,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13260,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13259, 13258])).
% 25.95/17.24 tff(13261,plain,
% 25.95/17.24 (v123(constB105)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13260, 1727, 13257, 13223, 13189])).
% 25.95/17.24 tff(13262,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13263,plain,
% 25.95/17.24 (((~v123(constB105)) | v115(constB105)) <=> (v115(constB105) | (~v123(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13264,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB105) | (~v123(constB105))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13263])).
% 25.95/17.24 tff(13265,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13264, 13262])).
% 25.95/17.24 tff(13266,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13267,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13266, 13265])).
% 25.95/17.24 tff(13268,plain,
% 25.95/17.24 (v115(constB105)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13267, 1784, 13261])).
% 25.95/17.24 tff(13269,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB105)) | v114(constB105))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13270,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13271,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB105)) | v114(constB105)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 25.95/17.24 tff(13272,plain,
% 25.95/17.24 (v114(constB105)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13271, 504, 13268])).
% 25.95/17.24 tff(13273,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB105)) | v113(constB105))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13274,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13275,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB105)) | v113(constB105)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 25.95/17.24 tff(13276,plain,
% 25.95/17.24 (v113(constB105)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13275, 518, 13272])).
% 25.95/17.24 tff(13277,assumption,(v26(constB105)), introduced(assumption)).
% 25.95/17.24 tff(13278,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13279,plain,
% 25.95/17.24 ($false),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13278, 120, 13277])).
% 25.95/17.24 tff(13280,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 25.95/17.24 tff(13281,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13282,plain,
% 25.95/17.24 ((v26(constB105) | (~v113(constB105)) | v112(constB105)) <=> (v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13283,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | v112(constB105) | (~v113(constB105))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13282])).
% 25.95/17.24 tff(13284,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13283, 13281])).
% 25.95/17.24 tff(13285,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13286,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | v112(constB105) | (~v113(constB105))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 25.95/17.24 tff(13287,plain,
% 25.95/17.24 (v112(constB105) | (~v113(constB105))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13286, 532, 13280])).
% 25.95/17.24 tff(13288,plain,
% 25.95/17.24 (v112(constB105)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13287, 13276])).
% 25.95/17.24 tff(13289,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13290,plain,
% 25.95/17.24 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13291,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13290])).
% 25.95/17.24 tff(13292,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13291, 13289])).
% 25.95/17.24 tff(13293,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13294,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13293, 13292])).
% 25.95/17.24 tff(13295,plain,
% 25.95/17.24 (v108(constB105)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13294, 544, 13288])).
% 25.95/17.24 tff(13296,plain,
% 25.95/17.24 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13297,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 25.95/17.24 tff(13298,plain,
% 25.95/17.24 (nextState(constB105, constB106)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13297, 13296])).
% 25.95/17.24 tff(13299,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13300,plain,
% 25.95/17.24 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13301,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13300])).
% 25.95/17.24 tff(13302,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13301, 13299])).
% 25.95/17.24 tff(13303,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13304,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13303, 13302])).
% 25.95/17.24 tff(13305,plain,
% 25.95/17.24 (v110(constB106) | (~v108(constB105))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13304, 564, 13298])).
% 25.95/17.24 tff(13306,plain,
% 25.95/17.24 (v110(constB106)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13305, 13295])).
% 25.95/17.24 tff(13307,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13308,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13309,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13308, 13307])).
% 25.95/17.24 tff(13310,plain,
% 25.95/17.24 (~v104(constB106)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13309, 582, 13298, 13165])).
% 25.95/17.24 tff(13311,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13312,plain,
% 25.95/17.24 (((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13313,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13312])).
% 25.95/17.24 tff(13314,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13313, 13311])).
% 25.95/17.24 tff(13315,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13316,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | v102(constB106)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 25.95/17.24 tff(13317,plain,
% 25.95/17.24 (v104(constB106) | v102(constB106)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13316, 596, 13298])).
% 25.95/17.24 tff(13318,plain,
% 25.95/17.24 (v102(constB106)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13317, 13310])).
% 25.95/17.24 tff(13319,plain,
% 25.95/17.24 (v1(constB106) <=> v1(constB106)),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13320,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 25.95/17.24 tff(13321,plain,
% 25.95/17.24 (v1(constB106)),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13320, 13319])).
% 25.95/17.24 tff(13322,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13323,plain,
% 25.95/17.24 (((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))) <=> ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13324,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13323])).
% 25.95/17.24 tff(13325,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13324, 13322])).
% 25.95/17.24 tff(13326,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13327,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | (~v1(constB106)) | v101(constB106) | (~v102(constB106))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13326, 13325])).
% 25.95/17.24 tff(13328,plain,
% 25.95/17.24 (v101(constB106) | (~v102(constB106))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13327, 617, 13298, 13321])).
% 25.95/17.24 tff(13329,plain,
% 25.95/17.24 (v101(constB106)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13328, 13318])).
% 25.95/17.24 tff(13330,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13331,plain,
% 25.95/17.24 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13332,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 25.95/17.24 inference(monotonicity,[status(thm)],[13331])).
% 25.95/17.24 tff(13333,plain,
% 25.95/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 25.95/17.24 inference(transitivity,[status(thm)],[13332, 13330])).
% 25.95/17.24 tff(13334,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13335,plain,
% 25.95/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 25.95/17.24 inference(modus_ponens,[status(thm)],[13334, 13333])).
% 25.95/17.24 tff(13336,plain,
% 25.95/17.24 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13335, 635, 13298])).
% 25.95/17.24 tff(13337,plain,
% 25.95/17.24 (v100(constB106) | (~v110(constB106))),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13336, 13329])).
% 25.95/17.24 tff(13338,plain,
% 25.95/17.24 (v100(constB106)),
% 25.95/17.24 inference(unit_resolution,[status(thm)],[13337, 13306])).
% 25.95/17.24 tff(13339,plain,
% 25.95/17.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2))),
% 25.95/17.24 inference(rewrite,[status(thm)],[])).
% 25.95/17.24 tff(13340,plain,
% 25.95/17.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))),
% 25.95/17.24 inference(quant_inst,[status(thm)],[])).
% 25.95/17.24 tff(13341,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 25.95/17.25 tff(13342,plain,
% 25.95/17.25 (v130(constB105, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13341, 1738, 13261])).
% 25.95/17.25 tff(13343,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13344,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13345,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 25.95/17.25 tff(13346,plain,
% 25.95/17.25 ((~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13345, 1560, 13280])).
% 25.95/17.25 tff(13347,plain,
% 25.95/17.25 (v127(constB105, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13346, 13342])).
% 25.95/17.25 tff(13348,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13349,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13350,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 25.95/17.25 tff(13351,plain,
% 25.95/17.25 ((~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13350, 1575, 13298])).
% 25.95/17.25 tff(13352,plain,
% 25.95/17.25 (v129(constB106, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13351, 13347])).
% 25.95/17.25 tff(13353,plain,
% 25.95/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13354,plain,
% 25.95/17.25 ((v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13355,plain,
% 25.95/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))))),
% 25.95/17.25 inference(monotonicity,[status(thm)],[13354])).
% 25.95/17.25 tff(13356,plain,
% 25.95/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 25.95/17.25 inference(transitivity,[status(thm)],[13355, 13353])).
% 25.95/17.25 tff(13357,plain,
% 25.95/17.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13358,plain,
% 25.95/17.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 25.95/17.25 tff(13359,plain,
% 25.95/17.25 (v90(constB106, bitIndex2) | (~v100(constB106))),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13358, 1590, 13352])).
% 25.95/17.25 tff(13360,plain,
% 25.95/17.25 (v90(constB106, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13359, 13338])).
% 25.95/17.25 tff(13361,plain,
% 25.95/17.25 ((~v1(constB107)) <=> (~v1(constB107))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13362,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 25.95/17.25 tff(13363,plain,
% 25.95/17.25 (~v1(constB107)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 25.95/17.25 tff(13364,plain,
% 25.95/17.25 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13365,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 25.95/17.25 tff(13366,plain,
% 25.95/17.25 (nextState(constB106, constB107)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 25.95/17.25 tff(13367,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13368,plain,
% 25.95/17.25 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13369,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 25.95/17.25 inference(monotonicity,[status(thm)],[13368])).
% 25.95/17.25 tff(13370,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 25.95/17.25 inference(transitivity,[status(thm)],[13369, 13367])).
% 25.95/17.25 tff(13371,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13372,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 25.95/17.25 tff(13373,plain,
% 25.95/17.25 (~v101(constB107)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13372, 342, 13366, 13363])).
% 25.95/17.25 tff(13374,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13375,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13376,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 25.95/17.25 tff(13377,plain,
% 25.95/17.25 (v101(constB107) | (~v100(constB107))),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13376, 359, 13366])).
% 25.95/17.25 tff(13378,plain,
% 25.95/17.25 (~v100(constB107)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13377, 13373])).
% 25.95/17.25 tff(13379,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13380,plain,
% 25.95/17.25 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13381,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)))),
% 25.95/17.25 inference(monotonicity,[status(thm)],[13380])).
% 25.95/17.25 tff(13382,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 25.95/17.25 inference(transitivity,[status(thm)],[13381, 13379])).
% 25.95/17.25 tff(13383,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13384,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13383, 13382])).
% 25.95/17.25 tff(13385,plain,
% 25.95/17.25 ((~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13384, 1626, 13366])).
% 25.95/17.25 tff(13386,plain,
% 25.95/17.25 ((~v90(constB106, bitIndex2)) | v90(constB107, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13385, 13378])).
% 25.95/17.25 tff(13387,plain,
% 25.95/17.25 (v90(constB107, bitIndex2)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13386, 13360])).
% 25.95/17.25 tff(13388,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13389,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13390,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13389, 13388])).
% 25.95/17.25 tff(13391,plain,
% 25.95/17.25 (~v130(constB105, bitIndex1)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13390, 1893, 13261])).
% 25.95/17.25 tff(13392,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13393,plain,
% 25.95/17.25 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13394,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 25.95/17.25 inference(monotonicity,[status(thm)],[13393])).
% 25.95/17.25 tff(13395,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 25.95/17.25 inference(transitivity,[status(thm)],[13394, 13392])).
% 25.95/17.25 tff(13396,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13397,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 25.95/17.25 tff(13398,plain,
% 25.95/17.25 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13397, 751, 13280])).
% 25.95/17.25 tff(13399,plain,
% 25.95/17.25 (~v127(constB105, bitIndex1)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13398, 13391])).
% 25.95/17.25 tff(13400,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13401,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13402,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13401, 13400])).
% 25.95/17.25 tff(13403,plain,
% 25.95/17.25 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13402, 769, 13298])).
% 25.95/17.25 tff(13404,plain,
% 25.95/17.25 (~v129(constB106, bitIndex1)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13403, 13399])).
% 25.95/17.25 tff(13405,plain,
% 25.95/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13406,plain,
% 25.95/17.25 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13407,plain,
% 25.95/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 25.95/17.25 inference(monotonicity,[status(thm)],[13406])).
% 25.95/17.25 tff(13408,plain,
% 25.95/17.25 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 25.95/17.25 inference(transitivity,[status(thm)],[13407, 13405])).
% 25.95/17.25 tff(13409,plain,
% 25.95/17.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13410,plain,
% 25.95/17.25 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 25.95/17.25 tff(13411,plain,
% 25.95/17.25 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13410, 784, 13404])).
% 25.95/17.25 tff(13412,plain,
% 25.95/17.25 (~v90(constB106, bitIndex1)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13411, 13338])).
% 25.95/17.25 tff(13413,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13414,plain,
% 25.95/17.25 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13415,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 25.95/17.25 inference(monotonicity,[status(thm)],[13414])).
% 25.95/17.25 tff(13416,plain,
% 25.95/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.95/17.25 inference(transitivity,[status(thm)],[13415, 13413])).
% 25.95/17.25 tff(13417,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13418,plain,
% 25.95/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13417, 13416])).
% 25.95/17.25 tff(13419,plain,
% 25.95/17.25 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13418, 395, 13366])).
% 25.95/17.25 tff(13420,plain,
% 25.95/17.25 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13419, 13378])).
% 25.95/17.25 tff(13421,plain,
% 25.95/17.25 (~v90(constB107, bitIndex1)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13420, 13412])).
% 25.95/17.25 tff(13422,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13423,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.95/17.25 tff(13424,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0)),
% 25.95/17.25 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 25.95/17.25 tff(13425,plain,
% 25.95/17.25 (v130(constB105, bitIndex0)),
% 25.95/17.25 inference(unit_resolution,[status(thm)],[13424, 1934, 13261])).
% 25.95/17.25 tff(13426,plain,
% 25.95/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 25.95/17.25 inference(rewrite,[status(thm)],[])).
% 25.95/17.25 tff(13427,plain,
% 25.95/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 25.95/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13428,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 25.99/17.25 tff(13429,plain,
% 25.99/17.25 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13428, 822, 13280])).
% 25.99/17.25 tff(13430,plain,
% 25.99/17.25 (v127(constB105, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13429, 13425])).
% 25.99/17.25 tff(13431,plain,
% 25.99/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13432,plain,
% 25.99/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13433,plain,
% 25.99/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 25.99/17.25 tff(13434,plain,
% 25.99/17.25 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13433, 837, 13298])).
% 25.99/17.25 tff(13435,plain,
% 25.99/17.25 (v129(constB106, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13434, 13430])).
% 25.99/17.25 tff(13436,plain,
% 25.99/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13437,plain,
% 25.99/17.25 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13438,plain,
% 25.99/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 25.99/17.25 inference(monotonicity,[status(thm)],[13437])).
% 25.99/17.25 tff(13439,plain,
% 25.99/17.25 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 25.99/17.25 inference(transitivity,[status(thm)],[13438, 13436])).
% 25.99/17.25 tff(13440,plain,
% 25.99/17.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13441,plain,
% 25.99/17.25 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 25.99/17.25 tff(13442,plain,
% 25.99/17.25 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13441, 852, 13435])).
% 25.99/17.25 tff(13443,plain,
% 25.99/17.25 (v90(constB106, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13442, 13338])).
% 25.99/17.25 tff(13444,plain,
% 25.99/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13445,plain,
% 25.99/17.25 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13446,plain,
% 25.99/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 25.99/17.25 inference(monotonicity,[status(thm)],[13445])).
% 25.99/17.25 tff(13447,plain,
% 25.99/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.99/17.25 inference(transitivity,[status(thm)],[13446, 13444])).
% 25.99/17.25 tff(13448,plain,
% 25.99/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13449,plain,
% 25.99/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 25.99/17.25 tff(13450,plain,
% 25.99/17.25 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13449, 870, 13366])).
% 25.99/17.25 tff(13451,plain,
% 25.99/17.25 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13450, 13378])).
% 25.99/17.25 tff(13452,plain,
% 25.99/17.25 (v90(constB107, bitIndex0)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13451, 13443])).
% 25.99/17.25 tff(13453,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13454,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13455,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107)),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13454, 13453])).
% 25.99/17.25 tff(13456,plain,
% 25.99/17.25 (v124(constB107)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13455, 1975, 13452, 13421, 13387])).
% 25.99/17.25 tff(13457,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB107)) | v114(constB107))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13458,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13459,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB107)) | v114(constB107)),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 25.99/17.25 tff(13460,plain,
% 25.99/17.25 (v114(constB107)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13459, 1986, 13456])).
% 25.99/17.25 tff(13461,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13462,plain,
% 25.99/17.25 (((~v114(constB107)) | v113(constB107)) <=> (v113(constB107) | (~v114(constB107)))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13463,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107))))),
% 25.99/17.25 inference(monotonicity,[status(thm)],[13462])).
% 25.99/17.25 tff(13464,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 25.99/17.25 inference(transitivity,[status(thm)],[13463, 13461])).
% 25.99/17.25 tff(13465,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13466,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107))),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 25.99/17.25 tff(13467,plain,
% 25.99/17.25 (v113(constB107)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13466, 518, 13460])).
% 25.99/17.25 tff(13468,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 25.99/17.25 inference(rewrite,[status(thm)],[])).
% 25.99/17.25 tff(13469,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 25.99/17.25 inference(quant_inst,[status(thm)],[])).
% 25.99/17.25 tff(13470,plain,
% 25.99/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 25.99/17.25 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 25.99/17.25 tff(13471,plain,
% 25.99/17.25 (v26(constB107) | v112(constB107)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13470, 532, 13467])).
% 25.99/17.25 tff(13472,plain,
% 25.99/17.25 (v112(constB107)),
% 25.99/17.25 inference(unit_resolution,[status(thm)],[13471, 8492])).
% 25.99/17.25 tff(13473,plain,
% 25.99/17.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13474,plain,
% 25.99/17.26 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13475,plain,
% 25.99/17.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13474])).
% 25.99/17.26 tff(13476,plain,
% 25.99/17.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13475, 13473])).
% 25.99/17.26 tff(13477,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13478,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 25.99/17.26 tff(13479,plain,
% 25.99/17.26 (v108(constB107)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13478, 544, 13472])).
% 25.99/17.26 tff(13480,plain,
% 25.99/17.26 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13481,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 25.99/17.26 tff(13482,plain,
% 25.99/17.26 (nextState(constB107, constB108)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13481, 13480])).
% 25.99/17.26 tff(13483,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13484,plain,
% 25.99/17.26 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13485,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13484])).
% 25.99/17.26 tff(13486,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13485, 13483])).
% 25.99/17.26 tff(13487,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13488,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 25.99/17.26 tff(13489,plain,
% 25.99/17.26 (v110(constB108) | (~v108(constB107))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13488, 564, 13482])).
% 25.99/17.26 tff(13490,plain,
% 25.99/17.26 (v110(constB108)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13489, 13479])).
% 25.99/17.26 tff(13491,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13492,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13493,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 25.99/17.26 tff(13494,plain,
% 25.99/17.26 (~v104(constB108)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13493, 582, 13482, 13363])).
% 25.99/17.26 tff(13495,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13496,plain,
% 25.99/17.26 (((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13497,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13496])).
% 25.99/17.26 tff(13498,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13497, 13495])).
% 25.99/17.26 tff(13499,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13500,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | v102(constB108)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 25.99/17.26 tff(13501,plain,
% 25.99/17.26 (v104(constB108) | v102(constB108)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13500, 596, 13482])).
% 25.99/17.26 tff(13502,plain,
% 25.99/17.26 (v102(constB108)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13501, 13494])).
% 25.99/17.26 tff(13503,plain,
% 25.99/17.26 (v1(constB108) <=> v1(constB108)),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13504,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 25.99/17.26 tff(13505,plain,
% 25.99/17.26 (v1(constB108)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13504, 13503])).
% 25.99/17.26 tff(13506,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13507,plain,
% 25.99/17.26 (((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))) <=> ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13508,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13507])).
% 25.99/17.26 tff(13509,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13508, 13506])).
% 25.99/17.26 tff(13510,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13511,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | (~v1(constB108)) | v101(constB108) | (~v102(constB108))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13510, 13509])).
% 25.99/17.26 tff(13512,plain,
% 25.99/17.26 (v101(constB108) | (~v102(constB108))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13511, 617, 13482, 13505])).
% 25.99/17.26 tff(13513,plain,
% 25.99/17.26 (v101(constB108)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13512, 13502])).
% 25.99/17.26 tff(13514,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13515,plain,
% 25.99/17.26 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13516,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13515])).
% 25.99/17.26 tff(13517,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13516, 13514])).
% 25.99/17.26 tff(13518,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13519,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 25.99/17.26 tff(13520,plain,
% 25.99/17.26 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13519, 635, 13482])).
% 25.99/17.26 tff(13521,plain,
% 25.99/17.26 (v100(constB108) | (~v110(constB108))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13520, 13513])).
% 25.99/17.26 tff(13522,plain,
% 25.99/17.26 (v100(constB108)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13521, 13490])).
% 25.99/17.26 tff(13523,plain,
% 25.99/17.26 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13524,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13525,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 25.99/17.26 tff(13526,plain,
% 25.99/17.26 (v130(constB107, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13525, 2066, 13456])).
% 25.99/17.26 tff(13527,plain,
% 25.99/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13528,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13529,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 25.99/17.26 tff(13530,plain,
% 25.99/17.26 (v26(constB107) | v127(constB107, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13529, 1560, 13526])).
% 25.99/17.26 tff(13531,plain,
% 25.99/17.26 (v127(constB107, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13530, 8492])).
% 25.99/17.26 tff(13532,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13533,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13534,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13533, 13532])).
% 25.99/17.26 tff(13535,plain,
% 25.99/17.26 ((~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13534, 1575, 13482])).
% 25.99/17.26 tff(13536,plain,
% 25.99/17.26 (v129(constB108, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13535, 13531])).
% 25.99/17.26 tff(13537,plain,
% 25.99/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13538,plain,
% 25.99/17.26 ((v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13539,plain,
% 25.99/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13538])).
% 25.99/17.26 tff(13540,plain,
% 25.99/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13539, 13537])).
% 25.99/17.26 tff(13541,plain,
% 25.99/17.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13542,plain,
% 25.99/17.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 25.99/17.26 tff(13543,plain,
% 25.99/17.26 (v90(constB108, bitIndex2) | (~v100(constB108))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13542, 1590, 13536])).
% 25.99/17.26 tff(13544,plain,
% 25.99/17.26 (v90(constB108, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13543, 13522])).
% 25.99/17.26 tff(13545,plain,
% 25.99/17.26 ((~v1(constB109)) <=> (~v1(constB109))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13546,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 25.99/17.26 tff(13547,plain,
% 25.99/17.26 (~v1(constB109)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 25.99/17.26 tff(13548,plain,
% 25.99/17.26 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13549,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 25.99/17.26 tff(13550,plain,
% 25.99/17.26 (nextState(constB108, constB109)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 25.99/17.26 tff(13551,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13552,plain,
% 25.99/17.26 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13553,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13552])).
% 25.99/17.26 tff(13554,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13553, 13551])).
% 25.99/17.26 tff(13555,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13556,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 25.99/17.26 tff(13557,plain,
% 25.99/17.26 (~v101(constB109)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13556, 342, 13550, 13547])).
% 25.99/17.26 tff(13558,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13559,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13560,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13559, 13558])).
% 25.99/17.26 tff(13561,plain,
% 25.99/17.26 (v101(constB109) | (~v100(constB109))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13560, 359, 13550])).
% 25.99/17.26 tff(13562,plain,
% 25.99/17.26 (~v100(constB109)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13561, 13557])).
% 25.99/17.26 tff(13563,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13564,plain,
% 25.99/17.26 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13565,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13564])).
% 25.99/17.26 tff(13566,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13565, 13563])).
% 25.99/17.26 tff(13567,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13568,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13567, 13566])).
% 25.99/17.26 tff(13569,plain,
% 25.99/17.26 ((~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13568, 1626, 13550])).
% 25.99/17.26 tff(13570,plain,
% 25.99/17.26 ((~v90(constB108, bitIndex2)) | v90(constB109, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13569, 13562])).
% 25.99/17.26 tff(13571,plain,
% 25.99/17.26 (v90(constB109, bitIndex2)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13570, 13544])).
% 25.99/17.26 tff(13572,plain,
% 25.99/17.26 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13573,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13574,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13573, 13572])).
% 25.99/17.26 tff(13575,plain,
% 25.99/17.26 (v130(constB107, bitIndex1)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13574, 2122, 13456])).
% 25.99/17.26 tff(13576,plain,
% 25.99/17.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13577,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13578,plain,
% 25.99/17.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 25.99/17.26 tff(13579,plain,
% 25.99/17.26 (v26(constB107) | v127(constB107, bitIndex1)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13578, 1075, 13575])).
% 25.99/17.26 tff(13580,plain,
% 25.99/17.26 (v127(constB107, bitIndex1)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13579, 8492])).
% 25.99/17.26 tff(13581,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13582,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13583,plain,
% 25.99/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 25.99/17.26 tff(13584,plain,
% 25.99/17.26 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13583, 1090, 13482])).
% 25.99/17.26 tff(13585,plain,
% 25.99/17.26 (v129(constB108, bitIndex1)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13584, 13580])).
% 25.99/17.26 tff(13586,plain,
% 25.99/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13587,plain,
% 25.99/17.26 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 25.99/17.26 inference(rewrite,[status(thm)],[])).
% 25.99/17.26 tff(13588,plain,
% 25.99/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 25.99/17.26 inference(monotonicity,[status(thm)],[13587])).
% 25.99/17.26 tff(13589,plain,
% 25.99/17.26 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 25.99/17.26 inference(transitivity,[status(thm)],[13588, 13586])).
% 25.99/17.26 tff(13590,plain,
% 25.99/17.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 25.99/17.26 inference(quant_inst,[status(thm)],[])).
% 25.99/17.26 tff(13591,plain,
% 25.99/17.26 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 25.99/17.26 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 25.99/17.26 tff(13592,plain,
% 25.99/17.26 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13591, 1105, 13585])).
% 25.99/17.26 tff(13593,plain,
% 25.99/17.26 (v90(constB108, bitIndex1)),
% 25.99/17.26 inference(unit_resolution,[status(thm)],[13592, 13522])).
% 25.99/17.26 tff(13594,plain,
% 25.99/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13595,plain,
% 25.99/17.27 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13596,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13595])).
% 25.99/17.27 tff(13597,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13596, 13594])).
% 25.99/17.27 tff(13598,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13599,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13598, 13597])).
% 25.99/17.27 tff(13600,plain,
% 25.99/17.27 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13599, 1123, 13550])).
% 25.99/17.27 tff(13601,plain,
% 25.99/17.27 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13600, 13562])).
% 25.99/17.27 tff(13602,plain,
% 25.99/17.27 (v90(constB109, bitIndex1)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13601, 13593])).
% 25.99/17.27 tff(13603,assumption,(v127(constB107, bitIndex0)), introduced(assumption)).
% 25.99/17.27 tff(13604,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13605,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13606,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 25.99/17.27 tff(13607,plain,
% 25.99/17.27 (~v130(constB107, bitIndex0)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13606, 2160, 13456])).
% 25.99/17.27 tff(13608,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13609,plain,
% 25.99/17.27 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13610,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13609])).
% 25.99/17.27 tff(13611,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13610, 13608])).
% 25.99/17.27 tff(13612,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13613,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 25.99/17.27 tff(13614,plain,
% 25.99/17.27 ((~v127(constB107, bitIndex0)) | v26(constB107)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13613, 1153, 13607])).
% 25.99/17.27 tff(13615,plain,
% 25.99/17.27 (v26(constB107)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13614, 13603])).
% 25.99/17.27 tff(13616,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB107)) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB107)) | (~v127(constB107, bitIndex0)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13617,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB107)) | (~v127(constB107, bitIndex0)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13618,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB107)) | (~v127(constB107, bitIndex0))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 25.99/17.27 tff(13619,plain,
% 25.99/17.27 ($false),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13618, 4862, 13603, 13615])).
% 25.99/17.27 tff(13620,plain,(~v127(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.27 tff(13621,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13622,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13623,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 25.99/17.27 tff(13624,plain,
% 25.99/17.27 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13623, 1171, 13482])).
% 25.99/17.27 tff(13625,plain,
% 25.99/17.27 (~v129(constB108, bitIndex0)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13624, 13620])).
% 25.99/17.27 tff(13626,plain,
% 25.99/17.27 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13627,plain,
% 25.99/17.27 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13628,plain,
% 25.99/17.27 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13627])).
% 25.99/17.27 tff(13629,plain,
% 25.99/17.27 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13628, 13626])).
% 25.99/17.27 tff(13630,plain,
% 25.99/17.27 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13631,plain,
% 25.99/17.27 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 25.99/17.27 tff(13632,plain,
% 25.99/17.27 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13631, 1186, 13625])).
% 25.99/17.27 tff(13633,plain,
% 25.99/17.27 (~v90(constB108, bitIndex0)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13632, 13522])).
% 25.99/17.27 tff(13634,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13635,plain,
% 25.99/17.27 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13636,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13635])).
% 25.99/17.27 tff(13637,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13636, 13634])).
% 25.99/17.27 tff(13638,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13639,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 25.99/17.27 tff(13640,plain,
% 25.99/17.27 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13639, 416, 13550])).
% 25.99/17.27 tff(13641,plain,
% 25.99/17.27 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13640, 13562])).
% 25.99/17.27 tff(13642,plain,
% 25.99/17.27 (~v90(constB109, bitIndex0)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13641, 13633])).
% 25.99/17.27 tff(13643,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13644,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13645,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13644, 13643])).
% 25.99/17.27 tff(13646,plain,
% 25.99/17.27 (v125(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13645, 2204, 13642, 13602, 13571])).
% 25.99/17.27 tff(13647,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB109)) | v113(constB109))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13648,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13649,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB109)) | v113(constB109)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13648, 13647])).
% 25.99/17.27 tff(13650,plain,
% 25.99/17.27 (v113(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13649, 2215, 13646])).
% 25.99/17.27 tff(13651,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13652,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13653,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13652, 13651])).
% 25.99/17.27 tff(13654,plain,
% 25.99/17.27 (v26(constB109) | v112(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13653, 532, 13650])).
% 25.99/17.27 tff(13655,plain,
% 25.99/17.27 (v112(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13654, 8488])).
% 25.99/17.27 tff(13656,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13657,plain,
% 25.99/17.27 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13658,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13657])).
% 25.99/17.27 tff(13659,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13658, 13656])).
% 25.99/17.27 tff(13660,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13661,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13660, 13659])).
% 25.99/17.27 tff(13662,plain,
% 25.99/17.27 (v108(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13661, 544, 13655])).
% 25.99/17.27 tff(13663,plain,
% 25.99/17.27 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13664,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 25.99/17.27 tff(13665,plain,
% 25.99/17.27 (nextState(constB109, constB110)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 25.99/17.27 tff(13666,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13667,plain,
% 25.99/17.27 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13668,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13667])).
% 25.99/17.27 tff(13669,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13668, 13666])).
% 25.99/17.27 tff(13670,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13671,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 25.99/17.27 tff(13672,plain,
% 25.99/17.27 (v110(constB110) | (~v108(constB109))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13671, 564, 13665])).
% 25.99/17.27 tff(13673,plain,
% 25.99/17.27 (v110(constB110)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13672, 13662])).
% 25.99/17.27 tff(13674,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13675,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13676,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 25.99/17.27 tff(13677,plain,
% 25.99/17.27 (~v104(constB110)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13676, 582, 13665, 13547])).
% 25.99/17.27 tff(13678,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13679,plain,
% 25.99/17.27 (((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13680,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13679])).
% 25.99/17.27 tff(13681,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13680, 13678])).
% 25.99/17.27 tff(13682,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13683,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | v102(constB110)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 25.99/17.27 tff(13684,plain,
% 25.99/17.27 (v104(constB110) | v102(constB110)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13683, 596, 13665])).
% 25.99/17.27 tff(13685,plain,
% 25.99/17.27 (v102(constB110)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13684, 13677])).
% 25.99/17.27 tff(13686,plain,
% 25.99/17.27 (v1(constB110) <=> v1(constB110)),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13687,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 25.99/17.27 tff(13688,plain,
% 25.99/17.27 (v1(constB110)),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 25.99/17.27 tff(13689,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13690,plain,
% 25.99/17.27 (((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))) <=> ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13691,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13690])).
% 25.99/17.27 tff(13692,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110)))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13691, 13689])).
% 25.99/17.27 tff(13693,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13694,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | (~v1(constB110)) | v101(constB110) | (~v102(constB110))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13693, 13692])).
% 25.99/17.27 tff(13695,plain,
% 25.99/17.27 (v101(constB110) | (~v102(constB110))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13694, 617, 13665, 13688])).
% 25.99/17.27 tff(13696,plain,
% 25.99/17.27 (v101(constB110)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13695, 13685])).
% 25.99/17.27 tff(13697,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13698,plain,
% 25.99/17.27 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13699,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 25.99/17.27 inference(monotonicity,[status(thm)],[13698])).
% 25.99/17.27 tff(13700,plain,
% 25.99/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 25.99/17.27 inference(transitivity,[status(thm)],[13699, 13697])).
% 25.99/17.27 tff(13701,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13702,plain,
% 25.99/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13701, 13700])).
% 25.99/17.27 tff(13703,plain,
% 25.99/17.27 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13702, 635, 13665])).
% 25.99/17.27 tff(13704,plain,
% 25.99/17.27 (v100(constB110) | (~v110(constB110))),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13703, 13696])).
% 25.99/17.27 tff(13705,plain,
% 25.99/17.27 (v100(constB110)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13704, 13673])).
% 25.99/17.27 tff(13706,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v90(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v90(constB109, bitIndex2)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13707,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v90(constB109, bitIndex2)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13708,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v90(constB109, bitIndex2))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13707, 13706])).
% 25.99/17.27 tff(13709,plain,
% 25.99/17.27 (~v121(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13708, 2287, 13571])).
% 25.99/17.27 tff(13710,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB109)) | (~v90(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB109)) | (~v90(constB109, bitIndex2)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13711,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB109)) | (~v90(constB109, bitIndex2)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13712,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB109)) | (~v90(constB109, bitIndex2))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13711, 13710])).
% 25.99/17.27 tff(13713,plain,
% 25.99/17.27 (~v122(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13712, 2298, 13571])).
% 25.99/17.27 tff(13714,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13715,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13716,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13715, 13714])).
% 25.99/17.27 tff(13717,plain,
% 25.99/17.27 (~v119(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13716, 2309, 13602])).
% 25.99/17.27 tff(13718,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13719,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13720,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB109)) | (~v90(constB109, bitIndex1))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13719, 13718])).
% 25.99/17.27 tff(13721,plain,
% 25.99/17.27 (~v120(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13720, 2320, 13602])).
% 25.99/17.27 tff(13722,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13723,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13724,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB109)) | (~v90(constB109, bitIndex1))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 25.99/17.27 tff(13725,plain,
% 25.99/17.27 (~v123(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13724, 2331, 13602])).
% 25.99/17.27 tff(13726,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.27 tff(13727,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB109)) | (~v90(constB109, bitIndex1)))),
% 25.99/17.27 inference(quant_inst,[status(thm)],[])).
% 25.99/17.27 tff(13728,plain,
% 25.99/17.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB109)) | (~v90(constB109, bitIndex1))),
% 25.99/17.27 inference(modus_ponens,[status(thm)],[13727, 13726])).
% 25.99/17.27 tff(13729,plain,
% 25.99/17.27 (~v124(constB109)),
% 25.99/17.27 inference(unit_resolution,[status(thm)],[13728, 2342, 13602])).
% 25.99/17.27 tff(13730,plain,
% 25.99/17.27 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))),
% 25.99/17.27 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13731,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13732,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13731, 13730])).
% 25.99/17.28 tff(13733,plain,
% 25.99/17.28 (~v130(constB109, bitIndex2)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13732, 2356, 13729, 13725, 13721, 13717, 13713, 13709])).
% 25.99/17.28 tff(13734,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13735,plain,
% 25.99/17.28 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13736,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13735])).
% 25.99/17.28 tff(13737,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13736, 13734])).
% 25.99/17.28 tff(13738,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13739,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 25.99/17.28 tff(13740,plain,
% 25.99/17.28 ((~v127(constB109, bitIndex2)) | v26(constB109)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13739, 665, 13733])).
% 25.99/17.28 tff(13741,plain,
% 25.99/17.28 (~v127(constB109, bitIndex2)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13740, 8488])).
% 25.99/17.28 tff(13742,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13743,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13744,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 25.99/17.28 tff(13745,plain,
% 25.99/17.28 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13744, 683, 13665])).
% 25.99/17.28 tff(13746,plain,
% 25.99/17.28 (~v129(constB110, bitIndex2)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13745, 13741])).
% 25.99/17.28 tff(13747,plain,
% 25.99/17.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13748,plain,
% 25.99/17.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13749,plain,
% 25.99/17.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13748, 13747])).
% 25.99/17.28 tff(13750,plain,
% 25.99/17.28 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13749, 698, 13746])).
% 25.99/17.28 tff(13751,plain,
% 25.99/17.28 (~v90(constB110, bitIndex2)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13750, 13705])).
% 25.99/17.28 tff(13752,plain,
% 25.99/17.28 ((~v1(constB111)) <=> (~v1(constB111))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13753,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 25.99/17.28 tff(13754,plain,
% 25.99/17.28 (~v1(constB111)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 25.99/17.28 tff(13755,plain,
% 25.99/17.28 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13756,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 25.99/17.28 tff(13757,plain,
% 25.99/17.28 (nextState(constB110, constB111)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 25.99/17.28 tff(13758,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13759,plain,
% 25.99/17.28 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13760,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13759])).
% 25.99/17.28 tff(13761,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13760, 13758])).
% 25.99/17.28 tff(13762,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13763,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 25.99/17.28 tff(13764,plain,
% 25.99/17.28 (~v101(constB111)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13763, 342, 13757, 13754])).
% 25.99/17.28 tff(13765,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13766,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13767,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13766, 13765])).
% 25.99/17.28 tff(13768,plain,
% 25.99/17.28 (v101(constB111) | (~v100(constB111))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13767, 359, 13757])).
% 25.99/17.28 tff(13769,plain,
% 25.99/17.28 (~v100(constB111)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13768, 13764])).
% 25.99/17.28 tff(13770,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13771,plain,
% 25.99/17.28 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13772,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13771])).
% 25.99/17.28 tff(13773,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13772, 13770])).
% 25.99/17.28 tff(13774,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13775,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 25.99/17.28 tff(13776,plain,
% 25.99/17.28 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13775, 374, 13757])).
% 25.99/17.28 tff(13777,plain,
% 25.99/17.28 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13776, 13769])).
% 25.99/17.28 tff(13778,plain,
% 25.99/17.28 (~v90(constB111, bitIndex2)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13777, 13751])).
% 25.99/17.28 tff(13779,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13780,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13781,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13780, 13779])).
% 25.99/17.28 tff(13782,plain,
% 25.99/17.28 (~v130(constB109, bitIndex1)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13781, 2415, 13729, 13725, 13721, 13717, 13713, 13709])).
% 25.99/17.28 tff(13783,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13784,plain,
% 25.99/17.28 ((v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1))) <=> ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13785,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13784])).
% 25.99/17.28 tff(13786,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13785, 13783])).
% 25.99/17.28 tff(13787,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13788,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 25.99/17.28 tff(13789,plain,
% 25.99/17.28 ((~v127(constB109, bitIndex1)) | v26(constB109)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13788, 751, 13782])).
% 25.99/17.28 tff(13790,plain,
% 25.99/17.28 (~v127(constB109, bitIndex1)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13789, 8488])).
% 25.99/17.28 tff(13791,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13792,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13793,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13792, 13791])).
% 25.99/17.28 tff(13794,plain,
% 25.99/17.28 (v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13793, 769, 13665])).
% 25.99/17.28 tff(13795,plain,
% 25.99/17.28 (~v129(constB110, bitIndex1)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13794, 13790])).
% 25.99/17.28 tff(13796,plain,
% 25.99/17.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13797,plain,
% 25.99/17.28 (((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13798,plain,
% 25.99/17.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13797])).
% 25.99/17.28 tff(13799,plain,
% 25.99/17.28 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13798, 13796])).
% 25.99/17.28 tff(13800,plain,
% 25.99/17.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13801,plain,
% 25.99/17.28 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 25.99/17.28 tff(13802,plain,
% 25.99/17.28 ((~v90(constB110, bitIndex1)) | (~v100(constB110))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13801, 784, 13795])).
% 25.99/17.28 tff(13803,plain,
% 25.99/17.28 (~v90(constB110, bitIndex1)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13802, 13705])).
% 25.99/17.28 tff(13804,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13805,plain,
% 25.99/17.28 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13806,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13805])).
% 25.99/17.28 tff(13807,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13806, 13804])).
% 25.99/17.28 tff(13808,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13809,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 25.99/17.28 tff(13810,plain,
% 25.99/17.28 (v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13809, 395, 13757])).
% 25.99/17.28 tff(13811,plain,
% 25.99/17.28 (v90(constB110, bitIndex1) | (~v90(constB111, bitIndex1))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13810, 13769])).
% 25.99/17.28 tff(13812,plain,
% 25.99/17.28 (~v90(constB111, bitIndex1)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13811, 13803])).
% 25.99/17.28 tff(13813,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13814,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13815,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13814, 13813])).
% 25.99/17.28 tff(13816,plain,
% 25.99/17.28 (v130(constB109, bitIndex0)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13815, 2459, 13729, 13725, 13721, 13717, 13713, 13709])).
% 25.99/17.28 tff(13817,plain,
% 25.99/17.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13818,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13819,plain,
% 25.99/17.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 25.99/17.28 tff(13820,plain,
% 25.99/17.28 (v26(constB109) | v127(constB109, bitIndex0)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13819, 822, 13816])).
% 25.99/17.28 tff(13821,plain,
% 25.99/17.28 (v127(constB109, bitIndex0)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13820, 8488])).
% 25.99/17.28 tff(13822,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13823,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13824,plain,
% 25.99/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13823, 13822])).
% 25.99/17.28 tff(13825,plain,
% 25.99/17.28 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13824, 837, 13665])).
% 25.99/17.28 tff(13826,plain,
% 25.99/17.28 (v129(constB110, bitIndex0)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13825, 13821])).
% 25.99/17.28 tff(13827,plain,
% 25.99/17.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13828,plain,
% 25.99/17.28 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13829,plain,
% 25.99/17.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13828])).
% 25.99/17.28 tff(13830,plain,
% 25.99/17.28 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 25.99/17.28 inference(transitivity,[status(thm)],[13829, 13827])).
% 25.99/17.28 tff(13831,plain,
% 25.99/17.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 25.99/17.28 inference(quant_inst,[status(thm)],[])).
% 25.99/17.28 tff(13832,plain,
% 25.99/17.28 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 25.99/17.28 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 25.99/17.28 tff(13833,plain,
% 25.99/17.28 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13832, 852, 13826])).
% 25.99/17.28 tff(13834,plain,
% 25.99/17.28 (v90(constB110, bitIndex0)),
% 25.99/17.28 inference(unit_resolution,[status(thm)],[13833, 13705])).
% 25.99/17.28 tff(13835,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13836,plain,
% 25.99/17.28 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.99/17.28 inference(rewrite,[status(thm)],[])).
% 25.99/17.28 tff(13837,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 25.99/17.28 inference(monotonicity,[status(thm)],[13836])).
% 25.99/17.28 tff(13838,plain,
% 25.99/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13837, 13835])).
% 25.99/17.29 tff(13839,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13840,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 25.99/17.29 tff(13841,plain,
% 25.99/17.29 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13840, 870, 13757])).
% 25.99/17.29 tff(13842,plain,
% 25.99/17.29 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13841, 13769])).
% 25.99/17.29 tff(13843,plain,
% 25.99/17.29 (v90(constB111, bitIndex0)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13842, 13834])).
% 25.99/17.29 tff(13844,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13845,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13846,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 25.99/17.29 tff(13847,plain,
% 25.99/17.29 (v120(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13846, 889, 13843, 13812, 13778])).
% 25.99/17.29 tff(13848,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13849,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13850,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 25.99/17.29 tff(13851,plain,
% 25.99/17.29 (~v130(constB111, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13850, 1005, 13847])).
% 25.99/17.29 tff(13852,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13853,plain,
% 25.99/17.29 ((v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2))) <=> ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13854,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13853])).
% 25.99/17.29 tff(13855,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13854, 13852])).
% 25.99/17.29 tff(13856,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13857,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 25.99/17.29 tff(13858,plain,
% 25.99/17.29 ((~v127(constB111, bitIndex2)) | v26(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13857, 665, 13851])).
% 25.99/17.29 tff(13859,plain,
% 25.99/17.29 (~v127(constB111, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13858, 8484])).
% 25.99/17.29 tff(13860,plain,
% 25.99/17.29 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13861,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 25.99/17.29 tff(13862,plain,
% 25.99/17.29 (nextState(constB111, constB112)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13861, 13860])).
% 25.99/17.29 tff(13863,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13864,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13865,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 25.99/17.29 tff(13866,plain,
% 25.99/17.29 (v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13865, 683, 13862])).
% 25.99/17.29 tff(13867,plain,
% 25.99/17.29 (~v129(constB112, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13866, 13859])).
% 25.99/17.29 tff(13868,assumption,(~v100(constB112)), introduced(assumption)).
% 25.99/17.29 tff(13869,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13870,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13871,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13870, 13869])).
% 25.99/17.29 tff(13872,plain,
% 25.99/17.29 (~v104(constB112)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13871, 582, 13862, 13754])).
% 25.99/17.29 tff(13873,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13874,plain,
% 25.99/17.29 (((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13875,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13874])).
% 25.99/17.29 tff(13876,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13875, 13873])).
% 25.99/17.29 tff(13877,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13878,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | v102(constB112)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 25.99/17.29 tff(13879,plain,
% 25.99/17.29 (v104(constB112) | v102(constB112)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13878, 596, 13862])).
% 25.99/17.29 tff(13880,plain,
% 25.99/17.29 (v102(constB112)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13879, 13872])).
% 25.99/17.29 tff(13881,plain,
% 25.99/17.29 (v1(constB112) <=> v1(constB112)),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13882,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 25.99/17.29 tff(13883,plain,
% 25.99/17.29 (v1(constB112)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13882, 13881])).
% 25.99/17.29 tff(13884,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13885,plain,
% 25.99/17.29 (((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))) <=> ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13886,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13885])).
% 25.99/17.29 tff(13887,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13886, 13884])).
% 25.99/17.29 tff(13888,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13889,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | (~v1(constB112)) | v101(constB112) | (~v102(constB112))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 25.99/17.29 tff(13890,plain,
% 25.99/17.29 (v101(constB112) | (~v102(constB112))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13889, 617, 13862, 13883])).
% 25.99/17.29 tff(13891,plain,
% 25.99/17.29 (v101(constB112)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13890, 13880])).
% 25.99/17.29 tff(13892,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13893,plain,
% 25.99/17.29 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13894,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13893])).
% 25.99/17.29 tff(13895,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13894, 13892])).
% 25.99/17.29 tff(13896,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13897,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 25.99/17.29 tff(13898,plain,
% 25.99/17.29 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13897, 635, 13862])).
% 25.99/17.29 tff(13899,plain,
% 25.99/17.29 (v100(constB112) | (~v110(constB112))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13898, 13891])).
% 25.99/17.29 tff(13900,plain,
% 25.99/17.29 (~v110(constB112)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13899, 13868])).
% 25.99/17.29 tff(13901,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13902,plain,
% 25.99/17.29 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13903,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13902])).
% 25.99/17.29 tff(13904,plain,
% 25.99/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13903, 13901])).
% 25.99/17.29 tff(13905,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13906,plain,
% 25.99/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13905, 13904])).
% 25.99/17.29 tff(13907,plain,
% 25.99/17.29 (v110(constB112) | (~v108(constB111))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13906, 564, 13862])).
% 25.99/17.29 tff(13908,plain,
% 25.99/17.29 (~v108(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13907, 13900])).
% 25.99/17.29 tff(13909,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13910,plain,
% 25.99/17.29 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13911,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13910])).
% 25.99/17.29 tff(13912,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13911, 13909])).
% 25.99/17.29 tff(13913,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13914,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13913, 13912])).
% 25.99/17.29 tff(13915,plain,
% 25.99/17.29 (~v112(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13914, 544, 13908])).
% 25.99/17.29 tff(13916,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v26(constB111)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v26(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13917,plain,
% 25.99/17.29 (((~v26(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v26(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13918,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v26(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13917])).
% 25.99/17.29 tff(13919,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v26(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13918, 13916])).
% 25.99/17.29 tff(13920,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB111)) | v108(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13921,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v26(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 25.99/17.29 tff(13922,plain,
% 25.99/17.29 (~v26(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13921, 1770, 13908])).
% 25.99/17.29 tff(13923,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13924,plain,
% 25.99/17.29 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13925,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13924])).
% 25.99/17.29 tff(13926,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13925, 13923])).
% 25.99/17.29 tff(13927,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13928,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 25.99/17.29 tff(13929,plain,
% 25.99/17.29 (~v113(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13928, 532, 13922, 13915])).
% 25.99/17.29 tff(13930,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13931,plain,
% 25.99/17.29 (((~v114(constB111)) | v113(constB111)) <=> (v113(constB111) | (~v114(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13932,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13931])).
% 25.99/17.29 tff(13933,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13932, 13930])).
% 25.99/17.29 tff(13934,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13935,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13934, 13933])).
% 25.99/17.29 tff(13936,plain,
% 25.99/17.29 (~v114(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13935, 518, 13929])).
% 25.99/17.29 tff(13937,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB111)) | v114(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13938,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13939,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB111)) | v114(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 25.99/17.29 tff(13940,plain,
% 25.99/17.29 (~v115(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13939, 504, 13936])).
% 25.99/17.29 tff(13941,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB111)) | v115(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13942,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13943,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB111)) | v115(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 25.99/17.29 tff(13944,plain,
% 25.99/17.29 (~v123(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13943, 1784, 13940])).
% 25.99/17.29 tff(13945,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB111)) | v115(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13946,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13947,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB111)) | v115(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13946, 13945])).
% 25.99/17.29 tff(13948,plain,
% 25.99/17.29 (~v116(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13947, 490, 13940])).
% 25.99/17.29 tff(13949,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13950,plain,
% 25.99/17.29 (((~v117(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v117(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13951,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13950])).
% 25.99/17.29 tff(13952,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13951, 13949])).
% 25.99/17.29 tff(13953,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13954,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13953, 13952])).
% 25.99/17.29 tff(13955,plain,
% 25.99/17.29 (~v117(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13954, 476, 13948])).
% 25.99/17.29 tff(13956,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13957,plain,
% 25.99/17.29 (((~v118(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v118(constB111)))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13958,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111))))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13957])).
% 25.99/17.29 tff(13959,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13958, 13956])).
% 25.99/17.29 tff(13960,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13961,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111))),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13960, 13959])).
% 25.99/17.29 tff(13962,plain,
% 25.99/17.29 (~v118(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13961, 462, 13955])).
% 25.99/17.29 tff(13963,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB111)) | v118(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13964,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13965,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB111)) | v118(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13964, 13963])).
% 25.99/17.29 tff(13966,plain,
% 25.99/17.29 (~v119(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13965, 451, 13962])).
% 25.99/17.29 tff(13967,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB111)) | v113(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13968,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB111)) | v113(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13969,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB111)) | v113(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 25.99/17.29 tff(13970,plain,
% 25.99/17.29 (~v125(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13969, 2215, 13929])).
% 25.99/17.29 tff(13971,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB111)) | v117(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13972,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13973,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB111)) | v117(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13972, 13971])).
% 25.99/17.29 tff(13974,plain,
% 25.99/17.29 (~v121(constB111)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13973, 1224, 13955])).
% 25.99/17.29 tff(13975,assumption,(~v90(constB111, bitIndex0)), introduced(assumption)).
% 25.99/17.29 tff(13976,assumption,(~v123(constB111)), introduced(assumption)).
% 25.99/17.29 tff(13977,assumption,(~v119(constB111)), introduced(assumption)).
% 25.99/17.29 tff(13978,assumption,(~v90(constB111, bitIndex1)), introduced(assumption)).
% 25.99/17.29 tff(13979,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13980,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13981,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v123(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 25.99/17.29 tff(13982,plain,
% 25.99/17.29 (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13981, 1727, 13976])).
% 25.99/17.29 tff(13983,plain,
% 25.99/17.29 (~v90(constB111, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13982, 13978, 13975])).
% 25.99/17.29 tff(13984,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13985,plain,
% 25.99/17.29 ((v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)) <=> (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13986,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111)))),
% 25.99/17.29 inference(monotonicity,[status(thm)],[13985])).
% 25.99/17.29 tff(13987,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111))),
% 25.99/17.29 inference(transitivity,[status(thm)],[13986, 13984])).
% 25.99/17.29 tff(13988,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB111, bitIndex0) | v119(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13989,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v119(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 25.99/17.29 tff(13990,plain,
% 25.99/17.29 (v90(constB111, bitIndex0) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13989, 437, 13977])).
% 25.99/17.29 tff(13991,plain,
% 25.99/17.29 ($false),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13990, 13983, 13978, 13975])).
% 25.99/17.29 tff(13992,plain,(v90(constB111, bitIndex1) | v90(constB111, bitIndex0) | v119(constB111) | v123(constB111)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.29 tff(13993,plain,
% 25.99/17.29 (v90(constB111, bitIndex1)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13992, 13975, 13977, 13976])).
% 25.99/17.29 tff(13994,assumption,(~v125(constB111)), introduced(assumption)).
% 25.99/17.29 tff(13995,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(13996,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(13997,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2)) | v125(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[13996, 13995])).
% 25.99/17.29 tff(13998,plain,
% 25.99/17.29 (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex2))),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13997, 2204, 13994])).
% 25.99/17.29 tff(13999,plain,
% 25.99/17.29 (~v90(constB111, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[13998, 13993, 13975])).
% 25.99/17.29 tff(14000,assumption,(~v121(constB111)), introduced(assumption)).
% 25.99/17.29 tff(14001,plain,
% 25.99/17.29 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))),
% 25.99/17.29 inference(rewrite,[status(thm)],[])).
% 25.99/17.29 tff(14002,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111))),
% 25.99/17.29 inference(quant_inst,[status(thm)],[])).
% 25.99/17.29 tff(14003,plain,
% 25.99/17.29 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v121(constB111)),
% 25.99/17.29 inference(modus_ponens,[status(thm)],[14002, 14001])).
% 25.99/17.29 tff(14004,plain,
% 25.99/17.29 (v90(constB111, bitIndex0) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2)),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[14003, 1213, 14000])).
% 25.99/17.29 tff(14005,plain,
% 25.99/17.29 ($false),
% 25.99/17.29 inference(unit_resolution,[status(thm)],[14004, 13999, 13993, 13975])).
% 25.99/17.29 tff(14006,plain,(v90(constB111, bitIndex0) | v121(constB111) | v125(constB111) | v119(constB111) | v123(constB111)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.30 tff(14007,plain,
% 25.99/17.30 (v90(constB111, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14006, 13974, 13970, 13966, 13944])).
% 25.99/17.30 tff(14008,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14009,plain,
% 25.99/17.30 (((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0)) <=> ((~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14010,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0)))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14009])).
% 25.99/17.30 tff(14011,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14010, 14008])).
% 25.99/17.30 tff(14012,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14013,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB111, bitIndex0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex0)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 25.99/17.30 tff(14014,plain,
% 25.99/17.30 ((~v90(constB111, bitIndex0)) | v100(constB112) | v90(constB112, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14013, 870, 13862])).
% 25.99/17.30 tff(14015,plain,
% 25.99/17.30 (v90(constB112, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14014, 14007, 13868])).
% 25.99/17.30 tff(14016,assumption,(~v26(constB107)), introduced(assumption)).
% 25.99/17.30 tff(14017,plain,
% 25.99/17.30 (v112(constB107)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13471, 14016])).
% 25.99/17.30 tff(14018,plain,
% 25.99/17.30 (v108(constB107)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13478, 544, 14017])).
% 25.99/17.30 tff(14019,plain,
% 25.99/17.30 (v110(constB108)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13489, 14018])).
% 25.99/17.30 tff(14020,plain,
% 25.99/17.30 (v100(constB108)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13521, 14019])).
% 25.99/17.30 tff(14021,plain,
% 25.99/17.30 (v127(constB107, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13530, 14016])).
% 25.99/17.30 tff(14022,plain,
% 25.99/17.30 (v129(constB108, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13535, 14021])).
% 25.99/17.30 tff(14023,plain,
% 25.99/17.30 (v90(constB108, bitIndex2) | (~v100(constB108))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13542, 1590, 14022])).
% 25.99/17.30 tff(14024,plain,
% 25.99/17.30 (v90(constB108, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14023, 14020])).
% 25.99/17.30 tff(14025,plain,
% 25.99/17.30 (v90(constB109, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13570, 14024])).
% 25.99/17.30 tff(14026,plain,
% 25.99/17.30 (~v121(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13708, 2287, 14025])).
% 25.99/17.30 tff(14027,plain,
% 25.99/17.30 (~v122(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13712, 2298, 14025])).
% 25.99/17.30 tff(14028,plain,
% 25.99/17.30 (v127(constB107, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13579, 14016])).
% 25.99/17.30 tff(14029,plain,
% 25.99/17.30 (v129(constB108, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13584, 14028])).
% 25.99/17.30 tff(14030,plain,
% 25.99/17.30 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13591, 1105, 14029])).
% 25.99/17.30 tff(14031,plain,
% 25.99/17.30 (v90(constB108, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14030, 14020])).
% 25.99/17.30 tff(14032,plain,
% 25.99/17.30 (v90(constB109, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13601, 14031])).
% 25.99/17.30 tff(14033,plain,
% 25.99/17.30 (~v119(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13716, 2309, 14032])).
% 25.99/17.30 tff(14034,plain,
% 25.99/17.30 (~v120(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13720, 2320, 14032])).
% 25.99/17.30 tff(14035,plain,
% 25.99/17.30 (~v123(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13724, 2331, 14032])).
% 25.99/17.30 tff(14036,plain,
% 25.99/17.30 (~v124(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13728, 2342, 14032])).
% 25.99/17.30 tff(14037,assumption,(v90(constB112, bitIndex1)), introduced(assumption)).
% 25.99/17.30 tff(14038,assumption,(v90(constB112, bitIndex0)), introduced(assumption)).
% 25.99/17.30 tff(14039,plain,
% 25.99/17.30 (~v90(constB108, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13632, 14020])).
% 25.99/17.30 tff(14040,plain,
% 25.99/17.30 (~v90(constB109, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13641, 14039])).
% 25.99/17.30 tff(14041,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14042,plain,
% 25.99/17.30 (((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1))) <=> (v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14043,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1))))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14042])).
% 25.99/17.30 tff(14044,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14043, 14041])).
% 25.99/17.30 tff(14045,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14046,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB111, bitIndex1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex1))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 25.99/17.30 tff(14047,plain,
% 25.99/17.30 (v90(constB111, bitIndex1) | v100(constB112) | (~v90(constB112, bitIndex1))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14046, 395, 13862])).
% 25.99/17.30 tff(14048,plain,
% 25.99/17.30 (v90(constB111, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14047, 13868, 14037])).
% 25.99/17.30 tff(14049,plain,
% 25.99/17.30 (v90(constB110, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13811, 14048])).
% 25.99/17.30 tff(14050,assumption,(~v90(constB109, bitIndex0)), introduced(assumption)).
% 25.99/17.30 tff(14051,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14052,plain,
% 25.99/17.30 (((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0))) <=> (v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14053,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0))))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14052])).
% 25.99/17.30 tff(14054,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14053, 14051])).
% 25.99/17.30 tff(14055,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14056,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB111, bitIndex0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, bitIndex0))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 25.99/17.30 tff(14057,plain,
% 25.99/17.30 (v90(constB111, bitIndex0) | v100(constB112) | (~v90(constB112, bitIndex0))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14056, 416, 13862])).
% 25.99/17.30 tff(14058,plain,
% 25.99/17.30 (v90(constB111, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14057, 13868, 14038])).
% 25.99/17.30 tff(14059,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14060,plain,
% 25.99/17.30 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14061,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0))))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14060])).
% 25.99/17.30 tff(14062,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14061, 14059])).
% 25.99/17.30 tff(14063,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14064,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex0))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14063, 14062])).
% 25.99/17.30 tff(14065,plain,
% 25.99/17.30 (v90(constB110, bitIndex0) | v100(constB111) | (~v90(constB111, bitIndex0))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14064, 416, 13757])).
% 25.99/17.30 tff(14066,plain,
% 25.99/17.30 (v90(constB110, bitIndex0) | (~v90(constB111, bitIndex0))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14065, 13769])).
% 25.99/17.30 tff(14067,plain,
% 25.99/17.30 (v90(constB110, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14066, 14058])).
% 25.99/17.30 tff(14068,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14069,plain,
% 25.99/17.30 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))) <=> (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14070,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14069])).
% 25.99/17.30 tff(14071,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14070, 14068])).
% 25.99/17.30 tff(14072,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14073,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 25.99/17.30 tff(14074,plain,
% 25.99/17.30 (v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14073, 416, 13665])).
% 25.99/17.30 tff(14075,plain,
% 25.99/17.30 (v100(constB110)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14074, 14067, 14050])).
% 25.99/17.30 tff(14076,plain,
% 25.99/17.30 (v129(constB110, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13801, 784, 14075, 14049])).
% 25.99/17.30 tff(14077,plain,
% 25.99/17.30 (v127(constB109, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13794, 14076])).
% 25.99/17.30 tff(14078,assumption,(~v130(constB109, bitIndex1)), introduced(assumption)).
% 25.99/17.30 tff(14079,plain,
% 25.99/17.30 ((~v127(constB109, bitIndex1)) | v26(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13788, 751, 14078])).
% 25.99/17.30 tff(14080,plain,
% 25.99/17.30 (v26(constB109)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14079, 14077])).
% 25.99/17.30 tff(14081,plain,
% 25.99/17.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14082,plain,
% 25.99/17.30 (((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14083,plain,
% 25.99/17.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110))))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14082])).
% 25.99/17.30 tff(14084,plain,
% 25.99/17.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110)))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14083, 14081])).
% 25.99/17.30 tff(14085,plain,
% 25.99/17.30 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~v100(constB110)) | v129(constB110, bitIndex0))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14086,plain,
% 25.99/17.30 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | v129(constB110, bitIndex0) | (~v100(constB110))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 25.99/17.30 tff(14087,plain,
% 25.99/17.30 (v129(constB110, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14086, 1186, 14075, 14067])).
% 25.99/17.30 tff(14088,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14089,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14090,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14089, 14088])).
% 25.99/17.30 tff(14091,plain,
% 25.99/17.30 (v127(constB109, bitIndex0) | (~v129(constB110, bitIndex0))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14090, 1171, 13665])).
% 25.99/17.30 tff(14092,plain,
% 25.99/17.30 (v127(constB109, bitIndex0)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14091, 14087])).
% 25.99/17.30 tff(14093,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB109)) | (~v127(constB109, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB109)) | (~v127(constB109, bitIndex0)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14094,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB109)) | (~v127(constB109, bitIndex0)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14095,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB109)) | (~v127(constB109, bitIndex0))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 25.99/17.30 tff(14096,plain,
% 25.99/17.30 ($false),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14095, 4862, 14092, 14080])).
% 25.99/17.30 tff(14097,plain,(v100(constB112) | v130(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB112, bitIndex1)) | (~v90(constB112, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.99/17.30 tff(14098,plain,
% 25.99/17.30 (v130(constB109, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14097, 14040, 14038, 14037, 13868])).
% 25.99/17.30 tff(14099,plain,
% 25.99/17.30 ($false),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13781, 2415, 14098, 14036, 14035, 14034, 14033, 14027, 14026])).
% 25.99/17.30 tff(14100,plain,(v26(constB107) | (~v90(constB112, bitIndex0)) | (~v90(constB112, bitIndex1)) | v100(constB112)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.30 tff(14101,plain,
% 25.99/17.30 ((~v90(constB112, bitIndex0)) | (~v90(constB112, bitIndex1)) | v100(constB112)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14100, 8492])).
% 25.99/17.30 tff(14102,plain,
% 25.99/17.30 (~v90(constB112, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14101, 14015, 13868])).
% 25.99/17.30 tff(14103,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14104,plain,
% 25.99/17.30 (((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1)) <=> ((~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14105,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1)))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14104])).
% 25.99/17.30 tff(14106,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14105, 14103])).
% 25.99/17.30 tff(14107,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14108,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB111, bitIndex1)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, bitIndex1)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14107, 14106])).
% 25.99/17.30 tff(14109,plain,
% 25.99/17.30 ((~v90(constB111, bitIndex1)) | v100(constB112) | v90(constB112, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14108, 1123, 13862])).
% 25.99/17.30 tff(14110,plain,
% 25.99/17.30 (~v90(constB111, bitIndex1)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14109, 14102, 13868])).
% 25.99/17.30 tff(14111,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB111)) | v114(constB111))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14112,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB111)) | v114(constB111))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14113,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB111)) | v114(constB111)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14112, 14111])).
% 25.99/17.30 tff(14114,plain,
% 25.99/17.30 (~v124(constB111)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14113, 1986, 13936])).
% 25.99/17.30 tff(14115,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14116,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14117,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2)) | v124(constB111)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 25.99/17.30 tff(14118,plain,
% 25.99/17.30 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | (~v90(constB111, bitIndex2))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14117, 1975, 14114])).
% 25.99/17.30 tff(14119,plain,
% 25.99/17.30 (~v90(constB111, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14118, 14110, 14007])).
% 25.99/17.30 tff(14120,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB111)) | v118(constB111))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14121,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14122,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB111)) | v118(constB111)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14121, 14120])).
% 25.99/17.30 tff(14123,plain,
% 25.99/17.30 (~v120(constB111)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14122, 900, 13962])).
% 25.99/17.30 tff(14124,plain,
% 25.99/17.30 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[13846, 889, 14123])).
% 25.99/17.30 tff(14125,plain,
% 25.99/17.30 ($false),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14124, 14119, 14110, 14007])).
% 25.99/17.30 tff(14126,plain,(v100(constB112)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.30 tff(14127,plain,
% 25.99/17.30 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14128,plain,
% 25.99/17.30 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14129,plain,
% 25.99/17.30 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 25.99/17.30 tff(14130,plain,
% 25.99/17.30 ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14129, 698, 14126])).
% 25.99/17.30 tff(14131,plain,
% 25.99/17.30 (~v90(constB112, bitIndex2)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14130, 13867])).
% 25.99/17.30 tff(14132,plain,
% 25.99/17.30 ((~v1(constB113)) <=> (~v1(constB113))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14133,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 25.99/17.30 tff(14134,plain,
% 25.99/17.30 (~v1(constB113)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14133, 14132])).
% 25.99/17.30 tff(14135,plain,
% 25.99/17.30 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14136,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 25.99/17.30 tff(14137,plain,
% 25.99/17.30 (nextState(constB112, constB113)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14136, 14135])).
% 25.99/17.30 tff(14138,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14139,plain,
% 25.99/17.30 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14140,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 25.99/17.30 inference(monotonicity,[status(thm)],[14139])).
% 25.99/17.30 tff(14141,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 25.99/17.30 inference(transitivity,[status(thm)],[14140, 14138])).
% 25.99/17.30 tff(14142,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14143,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 25.99/17.30 tff(14144,plain,
% 25.99/17.30 (~v101(constB113)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14143, 342, 14137, 14134])).
% 25.99/17.30 tff(14145,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(14146,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(14147,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[14146, 14145])).
% 25.99/17.30 tff(14148,plain,
% 25.99/17.30 (v101(constB113) | (~v100(constB113))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14147, 359, 14137])).
% 25.99/17.30 tff(14149,plain,
% 25.99/17.30 (~v100(constB113)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[14148, 14144])).
% 25.99/17.30 tff(14150,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14151,plain,
% 25.99/17.31 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14152,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14151])).
% 25.99/17.31 tff(14153,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14152, 14150])).
% 25.99/17.31 tff(14154,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14155,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14154, 14153])).
% 25.99/17.31 tff(14156,plain,
% 25.99/17.31 (v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14155, 374, 14137])).
% 25.99/17.31 tff(14157,plain,
% 25.99/17.31 (v90(constB112, bitIndex2) | (~v90(constB113, bitIndex2))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14156, 14149])).
% 25.99/17.31 tff(14158,plain,
% 25.99/17.31 (~v90(constB113, bitIndex2)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14157, 14131])).
% 25.99/17.31 tff(14159,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14160,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14161,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14160, 14159])).
% 25.99/17.31 tff(14162,plain,
% 25.99/17.31 (v130(constB111, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14161, 1061, 13847])).
% 25.99/17.31 tff(14163,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14164,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14165,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14164, 14163])).
% 25.99/17.31 tff(14166,plain,
% 25.99/17.31 (v26(constB111) | v127(constB111, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14165, 1075, 14162])).
% 25.99/17.31 tff(14167,plain,
% 25.99/17.31 (v127(constB111, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14166, 8484])).
% 25.99/17.31 tff(14168,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14169,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14170,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14169, 14168])).
% 25.99/17.31 tff(14171,plain,
% 25.99/17.31 ((~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14170, 1090, 13862])).
% 25.99/17.31 tff(14172,plain,
% 25.99/17.31 (v129(constB112, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14171, 14167])).
% 25.99/17.31 tff(14173,plain,
% 25.99/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14174,plain,
% 25.99/17.31 ((v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14175,plain,
% 25.99/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14174])).
% 25.99/17.31 tff(14176,plain,
% 25.99/17.31 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14175, 14173])).
% 25.99/17.31 tff(14177,plain,
% 25.99/17.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14178,plain,
% 25.99/17.31 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 25.99/17.31 tff(14179,plain,
% 25.99/17.31 (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14178, 1105, 14126])).
% 25.99/17.31 tff(14180,plain,
% 25.99/17.31 (v90(constB112, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14179, 14172])).
% 25.99/17.31 tff(14181,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14182,plain,
% 25.99/17.31 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14183,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14182])).
% 25.99/17.31 tff(14184,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14183, 14181])).
% 25.99/17.31 tff(14185,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14186,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14185, 14184])).
% 25.99/17.31 tff(14187,plain,
% 25.99/17.31 ((~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14186, 1123, 14137])).
% 25.99/17.31 tff(14188,plain,
% 25.99/17.31 ((~v90(constB112, bitIndex1)) | v90(constB113, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14187, 14149])).
% 25.99/17.31 tff(14189,plain,
% 25.99/17.31 (v90(constB113, bitIndex1)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14188, 14180])).
% 25.99/17.31 tff(14190,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14191,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14192,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14191, 14190])).
% 25.99/17.31 tff(14193,plain,
% 25.99/17.31 (~v130(constB111, bitIndex0)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14192, 1139, 13847])).
% 25.99/17.31 tff(14194,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14195,plain,
% 25.99/17.31 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14196,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14195])).
% 25.99/17.31 tff(14197,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14196, 14194])).
% 25.99/17.31 tff(14198,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14199,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 25.99/17.31 tff(14200,plain,
% 25.99/17.31 ((~v127(constB111, bitIndex0)) | v26(constB111)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14199, 1153, 14193])).
% 25.99/17.31 tff(14201,plain,
% 25.99/17.31 (~v127(constB111, bitIndex0)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14200, 8484])).
% 25.99/17.31 tff(14202,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14203,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14204,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 25.99/17.31 tff(14205,plain,
% 25.99/17.31 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14204, 1171, 13862])).
% 25.99/17.31 tff(14206,plain,
% 25.99/17.31 (~v129(constB112, bitIndex0)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14205, 14201])).
% 25.99/17.31 tff(14207,plain,
% 25.99/17.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14208,plain,
% 25.99/17.31 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14209,plain,
% 25.99/17.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14208])).
% 25.99/17.31 tff(14210,plain,
% 25.99/17.31 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14209, 14207])).
% 25.99/17.31 tff(14211,plain,
% 25.99/17.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14212,plain,
% 25.99/17.31 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 25.99/17.31 tff(14213,plain,
% 25.99/17.31 ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14212, 1186, 14126])).
% 25.99/17.31 tff(14214,plain,
% 25.99/17.31 (~v90(constB112, bitIndex0)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14213, 14206])).
% 25.99/17.31 tff(14215,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14216,plain,
% 25.99/17.31 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14217,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14216])).
% 25.99/17.31 tff(14218,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14217, 14215])).
% 25.99/17.31 tff(14219,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14220,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14219, 14218])).
% 25.99/17.31 tff(14221,plain,
% 25.99/17.31 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14220, 416, 14137])).
% 25.99/17.31 tff(14222,plain,
% 25.99/17.31 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14221, 14149])).
% 25.99/17.31 tff(14223,plain,
% 25.99/17.31 (~v90(constB113, bitIndex0)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14222, 14214])).
% 25.99/17.31 tff(14224,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14225,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14226,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 25.99/17.31 tff(14227,plain,
% 25.99/17.31 (v121(constB113)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14226, 1213, 14223, 14189, 14158])).
% 25.99/17.31 tff(14228,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14229,plain,
% 25.99/17.31 (((~v121(constB113)) | v117(constB113)) <=> (v117(constB113) | (~v121(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14230,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14229])).
% 25.99/17.31 tff(14231,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14230, 14228])).
% 25.99/17.31 tff(14232,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14233,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14232, 14231])).
% 25.99/17.31 tff(14234,plain,
% 25.99/17.31 (v117(constB113)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14233, 1224, 14227])).
% 25.99/17.31 tff(14235,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14236,plain,
% 25.99/17.31 (((~v117(constB113)) | v116(constB113)) <=> (v116(constB113) | (~v117(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14237,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14236])).
% 25.99/17.31 tff(14238,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14237, 14235])).
% 25.99/17.31 tff(14239,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14240,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14239, 14238])).
% 25.99/17.31 tff(14241,plain,
% 25.99/17.31 (v116(constB113)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14240, 476, 14234])).
% 25.99/17.31 tff(14242,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14243,plain,
% 25.99/17.31 (((~v116(constB113)) | v115(constB113)) <=> (v115(constB113) | (~v116(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14244,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v116(constB113))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14243])).
% 25.99/17.31 tff(14245,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14244, 14242])).
% 25.99/17.31 tff(14246,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14247,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14246, 14245])).
% 25.99/17.31 tff(14248,plain,
% 25.99/17.31 (v115(constB113)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14247, 490, 14241])).
% 25.99/17.31 tff(14249,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14250,plain,
% 25.99/17.31 (((~v115(constB113)) | v114(constB113)) <=> (v114(constB113) | (~v115(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14251,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14250])).
% 25.99/17.31 tff(14252,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14251, 14249])).
% 25.99/17.31 tff(14253,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14254,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 25.99/17.31 tff(14255,plain,
% 25.99/17.31 (v114(constB113)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14254, 504, 14248])).
% 25.99/17.31 tff(14256,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14257,plain,
% 25.99/17.31 (((~v114(constB113)) | v113(constB113)) <=> (v113(constB113) | (~v114(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14258,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14257])).
% 25.99/17.31 tff(14259,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14258, 14256])).
% 25.99/17.31 tff(14260,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14261,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 25.99/17.31 tff(14262,plain,
% 25.99/17.31 (v113(constB113)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[14261, 518, 14255])).
% 25.99/17.31 tff(14263,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14264,plain,
% 25.99/17.31 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(14265,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[14264])).
% 25.99/17.31 tff(14266,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[14265, 14263])).
% 25.99/17.31 tff(14267,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(14268,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 25.99/17.32 tff(14269,plain,
% 25.99/17.32 (v26(constB113) | v112(constB113)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14268, 532, 14262])).
% 25.99/17.32 tff(14270,plain,
% 25.99/17.32 (v112(constB113)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14269, 8480])).
% 25.99/17.32 tff(14271,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14272,plain,
% 25.99/17.32 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14273,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14272])).
% 25.99/17.32 tff(14274,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14273, 14271])).
% 25.99/17.32 tff(14275,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14276,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 25.99/17.32 tff(14277,plain,
% 25.99/17.32 (v108(constB113)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14276, 544, 14270])).
% 25.99/17.32 tff(14278,plain,
% 25.99/17.32 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14279,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 25.99/17.32 tff(14280,plain,
% 25.99/17.32 (nextState(constB113, constB114)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 25.99/17.32 tff(14281,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14282,plain,
% 25.99/17.32 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14283,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14282])).
% 25.99/17.32 tff(14284,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14283, 14281])).
% 25.99/17.32 tff(14285,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14286,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 25.99/17.32 tff(14287,plain,
% 25.99/17.32 (v110(constB114) | (~v108(constB113))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14286, 564, 14280])).
% 25.99/17.32 tff(14288,plain,
% 25.99/17.32 (v110(constB114)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14287, 14277])).
% 25.99/17.32 tff(14289,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14290,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14291,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 25.99/17.32 tff(14292,plain,
% 25.99/17.32 (~v104(constB114)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14291, 582, 14280, 14134])).
% 25.99/17.32 tff(14293,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14294,plain,
% 25.99/17.32 (((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14295,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14294])).
% 25.99/17.32 tff(14296,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14295, 14293])).
% 25.99/17.32 tff(14297,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14298,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | v102(constB114)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14297, 14296])).
% 25.99/17.32 tff(14299,plain,
% 25.99/17.32 (v104(constB114) | v102(constB114)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14298, 596, 14280])).
% 25.99/17.32 tff(14300,plain,
% 25.99/17.32 (v102(constB114)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14299, 14292])).
% 25.99/17.32 tff(14301,plain,
% 25.99/17.32 (v1(constB114) <=> v1(constB114)),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14302,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 25.99/17.32 tff(14303,plain,
% 25.99/17.32 (v1(constB114)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 25.99/17.32 tff(14304,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14305,plain,
% 25.99/17.32 (((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))) <=> ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14306,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14305])).
% 25.99/17.32 tff(14307,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14306, 14304])).
% 25.99/17.32 tff(14308,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14309,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | (~v1(constB114)) | v101(constB114) | (~v102(constB114))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14308, 14307])).
% 25.99/17.32 tff(14310,plain,
% 25.99/17.32 (v101(constB114) | (~v102(constB114))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14309, 617, 14280, 14303])).
% 25.99/17.32 tff(14311,plain,
% 25.99/17.32 (v101(constB114)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14310, 14300])).
% 25.99/17.32 tff(14312,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14313,plain,
% 25.99/17.32 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14314,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14313])).
% 25.99/17.32 tff(14315,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14314, 14312])).
% 25.99/17.32 tff(14316,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14317,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14316, 14315])).
% 25.99/17.32 tff(14318,plain,
% 25.99/17.32 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14317, 635, 14280])).
% 25.99/17.32 tff(14319,plain,
% 25.99/17.32 (v100(constB114) | (~v110(constB114))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14318, 14311])).
% 25.99/17.32 tff(14320,plain,
% 25.99/17.32 (v100(constB114)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14319, 14288])).
% 25.99/17.32 tff(14321,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14322,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14323,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 25.99/17.32 tff(14324,plain,
% 25.99/17.32 (~v130(constB113, bitIndex2)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14323, 1325, 14227])).
% 25.99/17.32 tff(14325,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14326,plain,
% 25.99/17.32 ((v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2))) <=> ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14327,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14326])).
% 25.99/17.32 tff(14328,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14327, 14325])).
% 25.99/17.32 tff(14329,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14330,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 25.99/17.32 tff(14331,plain,
% 25.99/17.32 ((~v127(constB113, bitIndex2)) | v26(constB113)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14330, 665, 14324])).
% 25.99/17.32 tff(14332,plain,
% 25.99/17.32 (~v127(constB113, bitIndex2)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14331, 8480])).
% 25.99/17.32 tff(14333,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14334,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14335,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14334, 14333])).
% 25.99/17.32 tff(14336,plain,
% 25.99/17.32 (v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14335, 683, 14280])).
% 25.99/17.32 tff(14337,plain,
% 25.99/17.32 (~v129(constB114, bitIndex2)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14336, 14332])).
% 25.99/17.32 tff(14338,plain,
% 25.99/17.32 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14339,plain,
% 25.99/17.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14340,plain,
% 25.99/17.32 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14339, 14338])).
% 25.99/17.32 tff(14341,plain,
% 25.99/17.32 ((~v90(constB114, bitIndex2)) | (~v100(constB114))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14340, 698, 14337])).
% 25.99/17.32 tff(14342,plain,
% 25.99/17.32 (~v90(constB114, bitIndex2)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14341, 14320])).
% 25.99/17.32 tff(14343,plain,
% 25.99/17.32 ((~v1(constB115)) <=> (~v1(constB115))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14344,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 25.99/17.32 tff(14345,plain,
% 25.99/17.32 (~v1(constB115)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14344, 14343])).
% 25.99/17.32 tff(14346,plain,
% 25.99/17.32 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14347,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 25.99/17.32 tff(14348,plain,
% 25.99/17.32 (nextState(constB114, constB115)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14347, 14346])).
% 25.99/17.32 tff(14349,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14350,plain,
% 25.99/17.32 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14351,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14350])).
% 25.99/17.32 tff(14352,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14351, 14349])).
% 25.99/17.32 tff(14353,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14354,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 25.99/17.32 tff(14355,plain,
% 25.99/17.32 (~v101(constB115)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14354, 342, 14348, 14345])).
% 25.99/17.32 tff(14356,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14357,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14358,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 25.99/17.32 tff(14359,plain,
% 25.99/17.32 (v101(constB115) | (~v100(constB115))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14358, 359, 14348])).
% 25.99/17.32 tff(14360,plain,
% 25.99/17.32 (~v100(constB115)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14359, 14355])).
% 25.99/17.32 tff(14361,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14362,plain,
% 25.99/17.32 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14363,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14362])).
% 25.99/17.32 tff(14364,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14363, 14361])).
% 25.99/17.32 tff(14365,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14366,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14365, 14364])).
% 25.99/17.32 tff(14367,plain,
% 25.99/17.32 (v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14366, 374, 14348])).
% 25.99/17.32 tff(14368,plain,
% 25.99/17.32 (v90(constB114, bitIndex2) | (~v90(constB115, bitIndex2))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14367, 14360])).
% 25.99/17.32 tff(14369,plain,
% 25.99/17.32 (~v90(constB115, bitIndex2)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14368, 14342])).
% 25.99/17.32 tff(14370,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14371,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14372,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 25.99/17.32 tff(14373,plain,
% 25.99/17.32 (v130(constB113, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14372, 1375, 14227])).
% 25.99/17.32 tff(14374,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14375,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14376,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14375, 14374])).
% 25.99/17.32 tff(14377,plain,
% 25.99/17.32 (v26(constB113) | v127(constB113, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14376, 1075, 14373])).
% 25.99/17.32 tff(14378,plain,
% 25.99/17.32 (v127(constB113, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14377, 8480])).
% 25.99/17.32 tff(14379,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14380,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14381,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14380, 14379])).
% 25.99/17.32 tff(14382,plain,
% 25.99/17.32 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14381, 1090, 14280])).
% 25.99/17.32 tff(14383,plain,
% 25.99/17.32 (v129(constB114, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14382, 14378])).
% 25.99/17.32 tff(14384,plain,
% 25.99/17.32 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14385,plain,
% 25.99/17.32 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14386,plain,
% 25.99/17.32 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14385])).
% 25.99/17.32 tff(14387,plain,
% 25.99/17.32 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14386, 14384])).
% 25.99/17.32 tff(14388,plain,
% 25.99/17.32 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14389,plain,
% 25.99/17.32 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14388, 14387])).
% 25.99/17.32 tff(14390,plain,
% 25.99/17.32 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14389, 1105, 14383])).
% 25.99/17.32 tff(14391,plain,
% 25.99/17.32 (v90(constB114, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14390, 14320])).
% 25.99/17.32 tff(14392,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14393,plain,
% 25.99/17.32 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14394,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[14393])).
% 25.99/17.32 tff(14395,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.99/17.32 inference(transitivity,[status(thm)],[14394, 14392])).
% 25.99/17.32 tff(14396,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(14397,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[14396, 14395])).
% 25.99/17.32 tff(14398,plain,
% 25.99/17.32 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14397, 1123, 14348])).
% 25.99/17.32 tff(14399,plain,
% 25.99/17.32 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14398, 14360])).
% 25.99/17.32 tff(14400,plain,
% 25.99/17.32 (v90(constB115, bitIndex1)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[14399, 14391])).
% 25.99/17.32 tff(14401,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(14402,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14403,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 25.99/17.33 tff(14404,plain,
% 25.99/17.33 (v130(constB113, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14403, 1413, 14227])).
% 25.99/17.33 tff(14405,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14406,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14407,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14406, 14405])).
% 25.99/17.33 tff(14408,plain,
% 25.99/17.33 (v26(constB113) | v127(constB113, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14407, 822, 14404])).
% 25.99/17.33 tff(14409,plain,
% 25.99/17.33 (v127(constB113, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14408, 8480])).
% 25.99/17.33 tff(14410,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14411,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14412,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14411, 14410])).
% 25.99/17.33 tff(14413,plain,
% 25.99/17.33 ((~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14412, 837, 14280])).
% 25.99/17.33 tff(14414,plain,
% 25.99/17.33 (v129(constB114, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14413, 14409])).
% 25.99/17.33 tff(14415,plain,
% 25.99/17.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14416,plain,
% 25.99/17.33 ((v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14417,plain,
% 25.99/17.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14416])).
% 25.99/17.33 tff(14418,plain,
% 25.99/17.33 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14417, 14415])).
% 25.99/17.33 tff(14419,plain,
% 25.99/17.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14420,plain,
% 25.99/17.33 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 25.99/17.33 tff(14421,plain,
% 25.99/17.33 (v90(constB114, bitIndex0) | (~v100(constB114))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14420, 852, 14414])).
% 25.99/17.33 tff(14422,plain,
% 25.99/17.33 (v90(constB114, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14421, 14320])).
% 25.99/17.33 tff(14423,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14424,plain,
% 25.99/17.33 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14425,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14424])).
% 25.99/17.33 tff(14426,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14425, 14423])).
% 25.99/17.33 tff(14427,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14428,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 25.99/17.33 tff(14429,plain,
% 25.99/17.33 ((~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14428, 870, 14348])).
% 25.99/17.33 tff(14430,plain,
% 25.99/17.33 ((~v90(constB114, bitIndex0)) | v90(constB115, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14429, 14360])).
% 25.99/17.33 tff(14431,plain,
% 25.99/17.33 (v90(constB115, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14430, 14422])).
% 25.99/17.33 tff(14432,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14433,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14434,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14433, 14432])).
% 25.99/17.33 tff(14435,plain,
% 25.99/17.33 (v122(constB115)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14434, 1454, 14431, 14400, 14369])).
% 25.99/17.33 tff(14436,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14437,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14438,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 25.99/17.33 tff(14439,plain,
% 25.99/17.33 (v130(constB115, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14438, 1546, 14435])).
% 25.99/17.33 tff(14440,assumption,(v26(constB115)), introduced(assumption)).
% 25.99/17.33 tff(14441,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14442,plain,
% 25.99/17.33 ($false),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14441, 120, 14440])).
% 25.99/17.33 tff(14443,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.33 tff(14444,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14445,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14446,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 25.99/17.33 tff(14447,plain,
% 25.99/17.33 ((~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14446, 1560, 14443])).
% 25.99/17.33 tff(14448,plain,
% 25.99/17.33 (v127(constB115, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14447, 14439])).
% 25.99/17.33 tff(14449,plain,
% 25.99/17.33 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14450,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 25.99/17.33 tff(14451,plain,
% 25.99/17.33 (nextState(constB115, constB116)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14450, 14449])).
% 25.99/17.33 tff(14452,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14453,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14454,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14453, 14452])).
% 25.99/17.33 tff(14455,plain,
% 25.99/17.33 ((~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14454, 1575, 14451])).
% 25.99/17.33 tff(14456,plain,
% 25.99/17.33 (v129(constB116, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14455, 14448])).
% 25.99/17.33 tff(14457,assumption,(~v100(constB116)), introduced(assumption)).
% 25.99/17.33 tff(14458,assumption,(~v90(constB116, bitIndex1)), introduced(assumption)).
% 25.99/17.33 tff(14459,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB115, bitIndex1)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB115, bitIndex1)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex1))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14460,plain,
% 25.99/17.33 (((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex1)) | v100(constB116) | v90(constB116, bitIndex1)) <=> ((~v90(constB115, bitIndex1)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex1))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14461,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex1)) | v100(constB116) | v90(constB116, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB115, bitIndex1)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex1)))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14460])).
% 25.99/17.33 tff(14462,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex1)) | v100(constB116) | v90(constB116, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB115, bitIndex1)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex1))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14461, 14459])).
% 25.99/17.33 tff(14463,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex1)) | v100(constB116) | v90(constB116, bitIndex1))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14464,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB115, bitIndex1)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex1)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14463, 14462])).
% 25.99/17.33 tff(14465,plain,
% 25.99/17.33 ((~v90(constB115, bitIndex1)) | v100(constB116) | v90(constB116, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14464, 1123, 14451])).
% 25.99/17.33 tff(14466,plain,
% 25.99/17.33 (~v90(constB115, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14465, 14458, 14457])).
% 25.99/17.33 tff(14467,assumption,(~v90(constB116, bitIndex0)), introduced(assumption)).
% 25.99/17.33 tff(14468,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14469,plain,
% 25.99/17.33 (((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0)) <=> ((~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14470,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0)))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14469])).
% 25.99/17.33 tff(14471,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14470, 14468])).
% 25.99/17.33 tff(14472,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14473,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB115, bitIndex0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex0)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 25.99/17.33 tff(14474,plain,
% 25.99/17.33 ((~v90(constB115, bitIndex0)) | v100(constB116) | v90(constB116, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14473, 870, 14451])).
% 25.99/17.33 tff(14475,plain,
% 25.99/17.33 (~v90(constB115, bitIndex0)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14474, 14467, 14457])).
% 25.99/17.33 tff(14476,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14477,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14478,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14477, 14476])).
% 25.99/17.33 tff(14479,plain,
% 25.99/17.33 (~v104(constB116)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14478, 582, 14451, 14345])).
% 25.99/17.33 tff(14480,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14481,plain,
% 25.99/17.33 (((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14482,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14481])).
% 25.99/17.33 tff(14483,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14482, 14480])).
% 25.99/17.33 tff(14484,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14485,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | v102(constB116)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14484, 14483])).
% 25.99/17.33 tff(14486,plain,
% 25.99/17.33 (v104(constB116) | v102(constB116)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14485, 596, 14451])).
% 25.99/17.33 tff(14487,plain,
% 25.99/17.33 (v102(constB116)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14486, 14479])).
% 25.99/17.33 tff(14488,plain,
% 25.99/17.33 (v1(constB116) <=> v1(constB116)),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14489,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 25.99/17.33 tff(14490,plain,
% 25.99/17.33 (v1(constB116)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 25.99/17.33 tff(14491,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14492,plain,
% 25.99/17.33 (((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))) <=> ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14493,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14492])).
% 25.99/17.33 tff(14494,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116)))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14493, 14491])).
% 25.99/17.33 tff(14495,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14496,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | (~v1(constB116)) | v101(constB116) | (~v102(constB116))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14495, 14494])).
% 25.99/17.33 tff(14497,plain,
% 25.99/17.33 (v101(constB116) | (~v102(constB116))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14496, 617, 14451, 14490])).
% 25.99/17.33 tff(14498,plain,
% 25.99/17.33 (v101(constB116)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14497, 14487])).
% 25.99/17.33 tff(14499,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14500,plain,
% 25.99/17.33 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14501,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14500])).
% 25.99/17.33 tff(14502,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14501, 14499])).
% 25.99/17.33 tff(14503,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14504,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14503, 14502])).
% 25.99/17.33 tff(14505,plain,
% 25.99/17.33 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14504, 635, 14451])).
% 25.99/17.33 tff(14506,plain,
% 25.99/17.33 (v100(constB116) | (~v110(constB116))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14505, 14498])).
% 25.99/17.33 tff(14507,plain,
% 25.99/17.33 (~v110(constB116)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14506, 14457])).
% 25.99/17.33 tff(14508,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14509,plain,
% 25.99/17.33 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14510,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14509])).
% 25.99/17.33 tff(14511,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14510, 14508])).
% 25.99/17.33 tff(14512,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14513,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 25.99/17.33 tff(14514,plain,
% 25.99/17.33 (v110(constB116) | (~v108(constB115))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14513, 564, 14451])).
% 25.99/17.33 tff(14515,plain,
% 25.99/17.33 (~v108(constB115)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14514, 14507])).
% 25.99/17.33 tff(14516,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14517,plain,
% 25.99/17.33 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14518,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14517])).
% 25.99/17.33 tff(14519,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14518, 14516])).
% 25.99/17.33 tff(14520,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14521,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 25.99/17.33 tff(14522,plain,
% 25.99/17.33 (~v112(constB115)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14521, 544, 14515])).
% 25.99/17.33 tff(14523,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14524,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14525,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 25.99/17.33 tff(14526,plain,
% 25.99/17.33 ((~v113(constB115)) | v112(constB115)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14525, 532, 14443])).
% 25.99/17.33 tff(14527,plain,
% 25.99/17.33 (~v113(constB115)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14526, 14522])).
% 25.99/17.33 tff(14528,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB115)) | v113(constB115))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14529,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(14530,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB115)) | v113(constB115)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[14529, 14528])).
% 25.99/17.33 tff(14531,plain,
% 25.99/17.33 (~v114(constB115)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[14530, 518, 14527])).
% 25.99/17.33 tff(14532,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14533,plain,
% 25.99/17.33 (((~v115(constB115)) | v114(constB115)) <=> (v114(constB115) | (~v115(constB115)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(14534,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115))))),
% 25.99/17.33 inference(monotonicity,[status(thm)],[14533])).
% 25.99/17.33 tff(14535,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 25.99/17.33 inference(transitivity,[status(thm)],[14534, 14532])).
% 25.99/17.33 tff(14536,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14537,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 26.07/17.34 tff(14538,plain,
% 26.07/17.34 (~v115(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14537, 504, 14531])).
% 26.07/17.34 tff(14539,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14540,plain,
% 26.07/17.34 (((~v116(constB115)) | v115(constB115)) <=> (v115(constB115) | (~v116(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14541,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14540])).
% 26.07/17.34 tff(14542,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14541, 14539])).
% 26.07/17.34 tff(14543,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14544,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14543, 14542])).
% 26.07/17.34 tff(14545,plain,
% 26.07/17.34 (~v116(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14544, 490, 14538])).
% 26.07/17.34 tff(14546,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB115) | (~v117(constB115)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v117(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14547,plain,
% 26.07/17.34 (((~v117(constB115)) | v116(constB115)) <=> (v116(constB115) | (~v117(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14548,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB115) | (~v117(constB115))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14547])).
% 26.07/17.34 tff(14549,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v117(constB115)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14548, 14546])).
% 26.07/17.34 tff(14550,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB115)) | v116(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14551,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v117(constB115))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14550, 14549])).
% 26.07/17.34 tff(14552,plain,
% 26.07/17.34 (~v117(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14551, 476, 14545])).
% 26.07/17.34 tff(14553,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB115) | (~v118(constB115)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB115) | (~v118(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14554,plain,
% 26.07/17.34 (((~v118(constB115)) | v117(constB115)) <=> (v117(constB115) | (~v118(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14555,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB115)) | v117(constB115))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB115) | (~v118(constB115))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14554])).
% 26.07/17.34 tff(14556,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB115)) | v117(constB115))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB115) | (~v118(constB115)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14555, 14553])).
% 26.07/17.34 tff(14557,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB115)) | v117(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14558,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB115) | (~v118(constB115))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 26.07/17.34 tff(14559,plain,
% 26.07/17.34 (~v118(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14558, 462, 14552])).
% 26.07/17.34 tff(14560,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB115) | (~v119(constB115)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB115) | (~v119(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14561,plain,
% 26.07/17.34 (((~v119(constB115)) | v118(constB115)) <=> (v118(constB115) | (~v119(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14562,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB115)) | v118(constB115))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB115) | (~v119(constB115))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14561])).
% 26.07/17.34 tff(14563,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB115)) | v118(constB115))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB115) | (~v119(constB115)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14562, 14560])).
% 26.07/17.34 tff(14564,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB115)) | v118(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14565,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB115) | (~v119(constB115))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14564, 14563])).
% 26.07/17.34 tff(14566,plain,
% 26.07/17.34 (~v119(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14565, 451, 14559])).
% 26.07/17.34 tff(14567,assumption,(~v90(constB116, bitIndex2)), introduced(assumption)).
% 26.07/17.34 tff(14568,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB115, bitIndex2)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB115, bitIndex2)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex2))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14569,plain,
% 26.07/17.34 (((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex2)) | v100(constB116) | v90(constB116, bitIndex2)) <=> ((~v90(constB115, bitIndex2)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex2))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14570,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex2)) | v100(constB116) | v90(constB116, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB115, bitIndex2)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex2)))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14569])).
% 26.07/17.34 tff(14571,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex2)) | v100(constB116) | v90(constB116, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB115, bitIndex2)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex2))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14570, 14568])).
% 26.07/17.34 tff(14572,plain,
% 26.07/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v90(constB115, bitIndex2)) | v100(constB116) | v90(constB116, bitIndex2))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14573,plain,
% 26.07/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB115, bitIndex2)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, bitIndex2)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 26.07/17.34 tff(14574,plain,
% 26.07/17.34 ((~v90(constB115, bitIndex2)) | v100(constB116) | v90(constB116, bitIndex2)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14573, 1626, 14451])).
% 26.07/17.34 tff(14575,plain,
% 26.07/17.34 (~v90(constB115, bitIndex2)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14574, 14457, 14567])).
% 26.07/17.34 tff(14576,plain,
% 26.07/17.34 (~v90(constB115, bitIndex0)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14474, 14457, 14467])).
% 26.07/17.34 tff(14577,plain,
% 26.07/17.34 (~v90(constB115, bitIndex1)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14465, 14457, 14458])).
% 26.07/17.34 tff(14578,assumption,(~v119(constB115)), introduced(assumption)).
% 26.07/17.34 tff(14579,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v119(constB115))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v119(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14580,plain,
% 26.07/17.34 ((v90(constB115, bitIndex0) | v119(constB115) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)) <=> (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v119(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14581,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB115, bitIndex0) | v119(constB115) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v119(constB115)))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14580])).
% 26.07/17.34 tff(14582,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB115, bitIndex0) | v119(constB115) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v119(constB115))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14581, 14579])).
% 26.07/17.34 tff(14583,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB115, bitIndex0) | v119(constB115) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14584,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v119(constB115)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14583, 14582])).
% 26.07/17.34 tff(14585,plain,
% 26.07/17.34 (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14584, 437, 14578])).
% 26.07/17.34 tff(14586,plain,
% 26.07/17.34 ($false),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14585, 14577, 14576, 14575])).
% 26.07/17.34 tff(14587,plain,(v100(constB116) | v119(constB115) | v90(constB116, bitIndex1) | v90(constB116, bitIndex2) | v90(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.34 tff(14588,plain,
% 26.07/17.34 (v90(constB116, bitIndex2)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14587, 14467, 14457, 14458, 14566])).
% 26.07/17.34 tff(14589,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14590,plain,
% 26.07/17.34 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2))) <=> (v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14591,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14590])).
% 26.07/17.34 tff(14592,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14591, 14589])).
% 26.07/17.34 tff(14593,plain,
% 26.07/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2)))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14594,plain,
% 26.07/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB115, bitIndex2) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex2))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 26.07/17.34 tff(14595,plain,
% 26.07/17.34 (v90(constB115, bitIndex2) | v100(constB116) | (~v90(constB116, bitIndex2))),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14594, 374, 14451])).
% 26.07/17.34 tff(14596,plain,
% 26.07/17.34 (v90(constB115, bitIndex2)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14595, 14588, 14457])).
% 26.07/17.34 tff(14597,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v123(constB115)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v123(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14598,plain,
% 26.07/17.34 (((~v123(constB115)) | v115(constB115)) <=> (v115(constB115) | (~v123(constB115)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14599,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v123(constB115))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14598])).
% 26.07/17.34 tff(14600,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v123(constB115)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14599, 14597])).
% 26.07/17.34 tff(14601,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB115)) | v115(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14602,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v123(constB115))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 26.07/17.34 tff(14603,plain,
% 26.07/17.34 (~v123(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14602, 1784, 14538])).
% 26.07/17.34 tff(14604,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v123(constB115))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v123(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14605,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v123(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14606,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v123(constB115)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14605, 14604])).
% 26.07/17.34 tff(14607,plain,
% 26.07/17.34 (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2))),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14606, 1727, 14603])).
% 26.07/17.34 tff(14608,plain,
% 26.07/17.34 ($false),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14607, 14596, 14475, 14466])).
% 26.07/17.34 tff(14609,plain,(v90(constB116, bitIndex0) | v100(constB116) | v90(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.34 tff(14610,plain,
% 26.07/17.34 (v90(constB116, bitIndex0)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14609, 14458, 14457])).
% 26.07/17.34 tff(14611,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14612,plain,
% 26.07/17.34 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0))) <=> (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14613,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0))))),
% 26.07/17.34 inference(monotonicity,[status(thm)],[14612])).
% 26.07/17.34 tff(14614,plain,
% 26.07/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 26.07/17.34 inference(transitivity,[status(thm)],[14613, 14611])).
% 26.07/17.34 tff(14615,plain,
% 26.07/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0)))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14616,plain,
% 26.07/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB115, bitIndex0) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex0))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14615, 14614])).
% 26.07/17.34 tff(14617,plain,
% 26.07/17.34 (v90(constB115, bitIndex0) | v100(constB116) | (~v90(constB116, bitIndex0))),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14616, 416, 14451])).
% 26.07/17.34 tff(14618,plain,
% 26.07/17.34 (v90(constB115, bitIndex0)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14617, 14610, 14457])).
% 26.07/17.34 tff(14619,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB115)) | v114(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14620,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB115)) | v114(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14621,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB115)) | v114(constB115)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14620, 14619])).
% 26.07/17.34 tff(14622,plain,
% 26.07/17.34 (~v124(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14621, 1986, 14531])).
% 26.07/17.34 tff(14623,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v124(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v124(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14624,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v124(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14625,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | v124(constB115)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14624, 14623])).
% 26.07/17.34 tff(14626,plain,
% 26.07/17.34 ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2))),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14625, 1975, 14622])).
% 26.07/17.34 tff(14627,plain,
% 26.07/17.34 (~v90(constB115, bitIndex2)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14626, 14618, 14466])).
% 26.07/17.34 tff(14628,assumption,(~v114(constB115)), introduced(assumption)).
% 26.07/17.34 tff(14629,plain,
% 26.07/17.34 (~v115(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14537, 504, 14628])).
% 26.07/17.34 tff(14630,plain,
% 26.07/17.34 (~v116(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14544, 490, 14629])).
% 26.07/17.34 tff(14631,plain,
% 26.07/17.34 (~v117(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14551, 476, 14630])).
% 26.07/17.34 tff(14632,plain,
% 26.07/17.34 (~v118(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14558, 462, 14631])).
% 26.07/17.34 tff(14633,plain,
% 26.07/17.34 (~v124(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14621, 1986, 14628])).
% 26.07/17.34 tff(14634,assumption,(~v130(constB115, bitIndex0)), introduced(assumption)).
% 26.07/17.34 tff(14635,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB115)) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB115)) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14636,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB115)) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14637,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB115)) | v130(constB115, bitIndex0)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 26.07/17.34 tff(14638,plain,
% 26.07/17.34 (~v123(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14637, 1934, 14634])).
% 26.07/17.34 tff(14639,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB115)) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB115)) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14640,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB115)) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14641,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB115)) | v130(constB115, bitIndex0)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14640, 14639])).
% 26.07/17.34 tff(14642,plain,
% 26.07/17.34 (~v119(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14641, 808, 14634])).
% 26.07/17.34 tff(14643,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB115)) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB115)) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14644,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB115)) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14645,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB115)) | v130(constB115, bitIndex0)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14644, 14643])).
% 26.07/17.34 tff(14646,plain,
% 26.07/17.34 (~v121(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14645, 1413, 14634])).
% 26.07/17.34 tff(14647,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB115)) | v116(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14648,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14649,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB115)) | v116(constB115)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14648, 14647])).
% 26.07/17.34 tff(14650,plain,
% 26.07/17.34 (~v122(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14649, 1465, 14630])).
% 26.07/17.34 tff(14651,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14652,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14653,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14652, 14651])).
% 26.07/17.34 tff(14654,plain,
% 26.07/17.34 (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14653, 2459, 14634])).
% 26.07/17.34 tff(14655,plain,
% 26.07/17.34 (v120(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14654, 14650, 14646, 14642, 14638, 14633])).
% 26.07/17.34 tff(14656,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB115)) | v118(constB115))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB115)) | v118(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14657,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB115)) | v118(constB115))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14658,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB115)) | v118(constB115)),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14657, 14656])).
% 26.07/17.34 tff(14659,plain,
% 26.07/17.34 ($false),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14658, 900, 14655, 14632])).
% 26.07/17.34 tff(14660,plain,(v114(constB115) | v130(constB115, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.34 tff(14661,plain,
% 26.07/17.34 (v130(constB115, bitIndex0)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14660, 14531])).
% 26.07/17.34 tff(14662,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB115)) | (~v130(constB115, bitIndex0)))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14663,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB115)) | (~v130(constB115, bitIndex0)))),
% 26.07/17.34 inference(quant_inst,[status(thm)],[])).
% 26.07/17.34 tff(14664,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB115)) | (~v130(constB115, bitIndex0))),
% 26.07/17.34 inference(modus_ponens,[status(thm)],[14663, 14662])).
% 26.07/17.34 tff(14665,plain,
% 26.07/17.34 (~v120(constB115)),
% 26.07/17.34 inference(unit_resolution,[status(thm)],[14664, 1139, 14661])).
% 26.07/17.34 tff(14666,plain,
% 26.07/17.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v120(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v120(constB115))),
% 26.07/17.34 inference(rewrite,[status(thm)],[])).
% 26.07/17.34 tff(14667,plain,
% 26.07/17.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v120(constB115))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14668,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | v120(constB115)),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14667, 14666])).
% 26.07/17.35 tff(14669,plain,
% 26.07/17.35 ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14668, 889, 14665])).
% 26.07/17.35 tff(14670,plain,
% 26.07/17.35 ($false),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14669, 14627, 14618, 14466])).
% 26.07/17.35 tff(14671,plain,(v90(constB116, bitIndex1) | v100(constB116)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.35 tff(14672,plain,
% 26.07/17.35 (v90(constB116, bitIndex1)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14671, 14457])).
% 26.07/17.35 tff(14673,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14674,plain,
% 26.07/17.35 (((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1))) <=> (v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14675,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14674])).
% 26.07/17.35 tff(14676,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14675, 14673])).
% 26.07/17.35 tff(14677,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14678,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB115, bitIndex1) | (~nextState(constB115, constB116)) | v100(constB116) | (~v90(constB116, bitIndex1))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 26.07/17.35 tff(14679,plain,
% 26.07/17.35 (v90(constB115, bitIndex1) | v100(constB116) | (~v90(constB116, bitIndex1))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14678, 395, 14451])).
% 26.07/17.35 tff(14680,plain,
% 26.07/17.35 (v90(constB115, bitIndex1)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14679, 14672, 14457])).
% 26.07/17.35 tff(14681,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14682,plain,
% 26.07/17.35 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14683,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14682])).
% 26.07/17.35 tff(14684,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14683, 14681])).
% 26.07/17.35 tff(14685,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14686,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex1))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14685, 14684])).
% 26.07/17.35 tff(14687,plain,
% 26.07/17.35 (v90(constB114, bitIndex1) | v100(constB115) | (~v90(constB115, bitIndex1))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14686, 395, 14348])).
% 26.07/17.35 tff(14688,plain,
% 26.07/17.35 (v90(constB114, bitIndex1) | (~v90(constB115, bitIndex1))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14687, 14360])).
% 26.07/17.35 tff(14689,plain,
% 26.07/17.35 (v90(constB114, bitIndex1)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14688, 14680])).
% 26.07/17.35 tff(14690,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB115)) | v113(constB115))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14691,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB115)) | v113(constB115))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14692,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB115)) | v113(constB115)),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14691, 14690])).
% 26.07/17.35 tff(14693,plain,
% 26.07/17.35 (~v125(constB115)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14692, 2215, 14527])).
% 26.07/17.35 tff(14694,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB115) | (~v121(constB115)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB115) | (~v121(constB115)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14695,plain,
% 26.07/17.35 (((~v121(constB115)) | v117(constB115)) <=> (v117(constB115) | (~v121(constB115)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14696,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB115)) | v117(constB115))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB115) | (~v121(constB115))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14695])).
% 26.07/17.35 tff(14697,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB115)) | v117(constB115))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB115) | (~v121(constB115)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14696, 14694])).
% 26.07/17.35 tff(14698,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB115)) | v117(constB115))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14699,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB115) | (~v121(constB115))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14698, 14697])).
% 26.07/17.35 tff(14700,plain,
% 26.07/17.35 (~v121(constB115)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14699, 1224, 14552])).
% 26.07/17.35 tff(14701,assumption,(v90(constB115, bitIndex1)), introduced(assumption)).
% 26.07/17.35 tff(14702,assumption,(~v90(constB115, bitIndex0)), introduced(assumption)).
% 26.07/17.35 tff(14703,assumption,(~v125(constB115)), introduced(assumption)).
% 26.07/17.35 tff(14704,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14705,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14706,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115)),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 26.07/17.35 tff(14707,plain,
% 26.07/17.35 (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14706, 2204, 14703])).
% 26.07/17.35 tff(14708,plain,
% 26.07/17.35 (~v90(constB115, bitIndex2)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14707, 14702, 14701])).
% 26.07/17.35 tff(14709,assumption,(~v121(constB115)), introduced(assumption)).
% 26.07/17.35 tff(14710,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v121(constB115))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v121(constB115))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14711,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v121(constB115))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14712,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v121(constB115)),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 26.07/17.35 tff(14713,plain,
% 26.07/17.35 (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14712, 1213, 14709])).
% 26.07/17.35 tff(14714,plain,
% 26.07/17.35 ($false),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14713, 14708, 14702, 14701])).
% 26.07/17.35 tff(14715,plain,(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | v121(constB115) | v125(constB115)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.35 tff(14716,plain,
% 26.07/17.35 (v90(constB115, bitIndex0)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14715, 14700, 14693, 14680])).
% 26.07/17.35 tff(14717,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14718,plain,
% 26.07/17.35 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14719,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14718])).
% 26.07/17.35 tff(14720,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14719, 14717])).
% 26.07/17.35 tff(14721,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14722,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14721, 14720])).
% 26.07/17.35 tff(14723,plain,
% 26.07/17.35 (v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14722, 416, 14348])).
% 26.07/17.35 tff(14724,plain,
% 26.07/17.35 (v90(constB114, bitIndex0) | (~v90(constB115, bitIndex0))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14723, 14360])).
% 26.07/17.35 tff(14725,plain,
% 26.07/17.35 (v90(constB114, bitIndex0)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14724, 14716])).
% 26.07/17.35 tff(14726,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14727,plain,
% 26.07/17.35 (((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0))) <=> (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14728,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14727])).
% 26.07/17.35 tff(14729,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14728, 14726])).
% 26.07/17.35 tff(14730,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14731,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB113, bitIndex0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, bitIndex0))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14730, 14729])).
% 26.07/17.35 tff(14732,plain,
% 26.07/17.35 (v90(constB113, bitIndex0) | v100(constB114) | (~v90(constB114, bitIndex0))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14731, 416, 14280])).
% 26.07/17.35 tff(14733,plain,
% 26.07/17.35 (v100(constB114)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14732, 14725, 14223])).
% 26.07/17.35 tff(14734,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14735,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14736,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14735, 14734])).
% 26.07/17.35 tff(14737,plain,
% 26.07/17.35 (~v122(constB115)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14736, 1683, 14661])).
% 26.07/17.35 tff(14738,plain,
% 26.07/17.35 ((~v90(constB115, bitIndex0)) | v90(constB115, bitIndex2) | v122(constB115)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14434, 1454, 14680])).
% 26.07/17.35 tff(14739,plain,
% 26.07/17.35 (v90(constB115, bitIndex2)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14738, 14716, 14737])).
% 26.07/17.35 tff(14740,plain,
% 26.07/17.35 (v90(constB114, bitIndex2)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14368, 14739])).
% 26.07/17.35 tff(14741,assumption,(v90(constB114, bitIndex1)), introduced(assumption)).
% 26.07/17.35 tff(14742,assumption,(v90(constB114, bitIndex0)), introduced(assumption)).
% 26.07/17.35 tff(14743,assumption,(v90(constB114, bitIndex2)), introduced(assumption)).
% 26.07/17.35 tff(14744,assumption,(v100(constB114)), introduced(assumption)).
% 26.07/17.35 tff(14745,plain,
% 26.07/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14746,plain,
% 26.07/17.35 (((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14747,plain,
% 26.07/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14746])).
% 26.07/17.35 tff(14748,plain,
% 26.07/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14747, 14745])).
% 26.07/17.35 tff(14749,plain,
% 26.07/17.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14750,plain,
% 26.07/17.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14749, 14748])).
% 26.07/17.35 tff(14751,plain,
% 26.07/17.35 (v129(constB114, bitIndex0) | (~v100(constB114))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14750, 1186, 14742])).
% 26.07/17.35 tff(14752,plain,
% 26.07/17.35 (v129(constB114, bitIndex0)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14751, 14744])).
% 26.07/17.35 tff(14753,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14754,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14755,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14754, 14753])).
% 26.07/17.35 tff(14756,plain,
% 26.07/17.35 (v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14755, 1171, 14280])).
% 26.07/17.35 tff(14757,plain,
% 26.07/17.35 (v127(constB113, bitIndex0)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14756, 14752])).
% 26.07/17.35 tff(14758,assumption,(~v26(constB113)), introduced(assumption)).
% 26.07/17.35 tff(14759,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14760,plain,
% 26.07/17.35 ((v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0))) <=> ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14761,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14760])).
% 26.07/17.35 tff(14762,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14761, 14759])).
% 26.07/17.35 tff(14763,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14764,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14763, 14762])).
% 26.07/17.35 tff(14765,plain,
% 26.07/17.35 ((~v127(constB113, bitIndex0)) | v130(constB113, bitIndex0)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14764, 1153, 14758])).
% 26.07/17.35 tff(14766,plain,
% 26.07/17.35 (v130(constB113, bitIndex0)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14765, 14757])).
% 26.07/17.35 tff(14767,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB113)) | (~v130(constB113, bitIndex0)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14768,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB113)) | (~v130(constB113, bitIndex0)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14769,plain,
% 26.07/17.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB113)) | (~v130(constB113, bitIndex0))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 26.07/17.35 tff(14770,plain,
% 26.07/17.35 (~v124(constB113)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14769, 2160, 14766])).
% 26.07/17.35 tff(14771,plain,
% 26.07/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14772,plain,
% 26.07/17.35 (((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14773,plain,
% 26.07/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114))))),
% 26.07/17.35 inference(monotonicity,[status(thm)],[14772])).
% 26.07/17.35 tff(14774,plain,
% 26.07/17.35 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114)))),
% 26.07/17.35 inference(transitivity,[status(thm)],[14773, 14771])).
% 26.07/17.35 tff(14775,plain,
% 26.07/17.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~v100(constB114)) | v129(constB114, bitIndex1))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14776,plain,
% 26.07/17.35 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | v129(constB114, bitIndex1) | (~v100(constB114))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 26.07/17.35 tff(14777,plain,
% 26.07/17.35 (v129(constB114, bitIndex1) | (~v100(constB114))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14776, 784, 14741])).
% 26.07/17.35 tff(14778,plain,
% 26.07/17.35 (v129(constB114, bitIndex1)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14777, 14744])).
% 26.07/17.35 tff(14779,plain,
% 26.07/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1)))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14780,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1)))),
% 26.07/17.35 inference(quant_inst,[status(thm)],[])).
% 26.07/17.35 tff(14781,plain,
% 26.07/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1))),
% 26.07/17.35 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 26.07/17.35 tff(14782,plain,
% 26.07/17.35 (v127(constB113, bitIndex1) | (~v129(constB114, bitIndex1))),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14781, 769, 14280])).
% 26.07/17.35 tff(14783,plain,
% 26.07/17.35 (v127(constB113, bitIndex1)),
% 26.07/17.35 inference(unit_resolution,[status(thm)],[14782, 14778])).
% 26.07/17.35 tff(14784,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14785,plain,
% 26.07/17.35 ((v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1))) <=> ((~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))),
% 26.07/17.35 inference(rewrite,[status(thm)],[])).
% 26.07/17.35 tff(14786,plain,
% 26.07/17.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14785])).
% 26.07/17.36 tff(14787,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14786, 14784])).
% 26.07/17.36 tff(14788,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB113) | v130(constB113, bitIndex1) | (~v127(constB113, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14789,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB113, bitIndex1)) | v26(constB113) | v130(constB113, bitIndex1)),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 26.07/17.36 tff(14790,plain,
% 26.07/17.36 ((~v127(constB113, bitIndex1)) | v130(constB113, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14789, 751, 14758])).
% 26.07/17.36 tff(14791,plain,
% 26.07/17.36 (v130(constB113, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14790, 14783])).
% 26.07/17.36 tff(14792,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB113)) | (~v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14793,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14794,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB113)) | (~v130(constB113, bitIndex1))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14793, 14792])).
% 26.07/17.36 tff(14795,plain,
% 26.07/17.36 (~v123(constB113)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14794, 1893, 14791])).
% 26.07/17.36 tff(14796,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB113)) | (~v130(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB113)) | (~v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14797,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB113)) | (~v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14798,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB113)) | (~v130(constB113, bitIndex1))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 26.07/17.36 tff(14799,plain,
% 26.07/17.36 (~v122(constB113)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14798, 1642, 14791])).
% 26.07/17.36 tff(14800,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB113)) | (~v130(constB113, bitIndex0)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14801,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB113)) | (~v130(constB113, bitIndex0)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14802,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB113)) | (~v130(constB113, bitIndex0))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 26.07/17.36 tff(14803,plain,
% 26.07/17.36 (~v120(constB113)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14802, 1139, 14766])).
% 26.07/17.36 tff(14804,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB113)) | (~v130(constB113, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB113)) | (~v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14805,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB113)) | (~v130(constB113, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14806,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB113)) | (~v130(constB113, bitIndex1))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 26.07/17.36 tff(14807,plain,
% 26.07/17.36 (~v119(constB113)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14806, 737, 14791])).
% 26.07/17.36 tff(14808,plain,
% 26.07/17.36 (v129(constB114, bitIndex2) | (~v100(constB114))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14340, 698, 14743])).
% 26.07/17.36 tff(14809,plain,
% 26.07/17.36 (v129(constB114, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14808, 14744])).
% 26.07/17.36 tff(14810,plain,
% 26.07/17.36 (v127(constB113, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14336, 14809])).
% 26.07/17.36 tff(14811,plain,
% 26.07/17.36 ((~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14330, 665, 14758])).
% 26.07/17.36 tff(14812,plain,
% 26.07/17.36 (v130(constB113, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14811, 14810])).
% 26.07/17.36 tff(14813,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex2)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14814,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex2)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14815,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB113) | v120(constB113) | v121(constB113) | v122(constB113) | v123(constB113) | v124(constB113) | (~v130(constB113, bitIndex2))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14814, 14813])).
% 26.07/17.36 tff(14816,plain,
% 26.07/17.36 (v121(constB113)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14815, 2356, 14812, 14807, 14803, 14799, 14795, 14770])).
% 26.07/17.36 tff(14817,plain,
% 26.07/17.36 ($false),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14323, 1325, 14812, 14816])).
% 26.07/17.36 tff(14818,plain,((~v100(constB114)) | v26(constB113) | (~v90(constB114, bitIndex2)) | (~v90(constB114, bitIndex0)) | (~v90(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 26.07/17.36 tff(14819,plain,
% 26.07/17.36 (v26(constB113)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14818, 14744, 14743, 14742, 14741])).
% 26.07/17.36 tff(14820,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB113)) | (~v127(constB113, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB113)) | (~v127(constB113, bitIndex0)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14821,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB113)) | (~v127(constB113, bitIndex0)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14822,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB113)) | (~v127(constB113, bitIndex0))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14821, 14820])).
% 26.07/17.36 tff(14823,plain,
% 26.07/17.36 ($false),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14822, 4862, 14757, 14819])).
% 26.07/17.36 tff(14824,plain,((~v100(constB114)) | (~v90(constB114, bitIndex0)) | (~v90(constB114, bitIndex2)) | (~v90(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 26.07/17.36 tff(14825,plain,
% 26.07/17.36 ($false),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14824, 14740, 14733, 14725, 14689])).
% 26.07/17.36 tff(14826,plain,(v100(constB116)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.36 tff(14827,plain,
% 26.07/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14828,plain,
% 26.07/17.36 ((v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14829,plain,
% 26.07/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14828])).
% 26.07/17.36 tff(14830,plain,
% 26.07/17.36 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14829, 14827])).
% 26.07/17.36 tff(14831,plain,
% 26.07/17.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14832,plain,
% 26.07/17.36 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 26.07/17.36 tff(14833,plain,
% 26.07/17.36 (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14832, 1590, 14826])).
% 26.07/17.36 tff(14834,plain,
% 26.07/17.36 (v90(constB116, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14833, 14456])).
% 26.07/17.36 tff(14835,plain,
% 26.07/17.36 ((~v1(constB117)) <=> (~v1(constB117))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14836,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 26.07/17.36 tff(14837,plain,
% 26.07/17.36 (~v1(constB117)),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 26.07/17.36 tff(14838,plain,
% 26.07/17.36 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14839,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 26.07/17.36 tff(14840,plain,
% 26.07/17.36 (nextState(constB116, constB117)),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14839, 14838])).
% 26.07/17.36 tff(14841,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14842,plain,
% 26.07/17.36 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14843,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14842])).
% 26.07/17.36 tff(14844,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14843, 14841])).
% 26.07/17.36 tff(14845,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14846,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 26.07/17.36 tff(14847,plain,
% 26.07/17.36 (~v101(constB117)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14846, 342, 14840, 14837])).
% 26.07/17.36 tff(14848,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14849,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14850,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 26.07/17.36 tff(14851,plain,
% 26.07/17.36 (v101(constB117) | (~v100(constB117))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14850, 359, 14840])).
% 26.07/17.36 tff(14852,plain,
% 26.07/17.36 (~v100(constB117)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14851, 14847])).
% 26.07/17.36 tff(14853,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14854,plain,
% 26.07/17.36 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14855,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14854])).
% 26.07/17.36 tff(14856,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14855, 14853])).
% 26.07/17.36 tff(14857,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14858,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14857, 14856])).
% 26.07/17.36 tff(14859,plain,
% 26.07/17.36 ((~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14858, 1626, 14840])).
% 26.07/17.36 tff(14860,plain,
% 26.07/17.36 ((~v90(constB116, bitIndex2)) | v90(constB117, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14859, 14852])).
% 26.07/17.36 tff(14861,plain,
% 26.07/17.36 (v90(constB117, bitIndex2)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14860, 14834])).
% 26.07/17.36 tff(14862,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14863,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14864,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 26.07/17.36 tff(14865,plain,
% 26.07/17.36 (~v130(constB115, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14864, 1642, 14435])).
% 26.07/17.36 tff(14866,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14867,plain,
% 26.07/17.36 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14868,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14867])).
% 26.07/17.36 tff(14869,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14868, 14866])).
% 26.07/17.36 tff(14870,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14871,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 26.07/17.36 tff(14872,plain,
% 26.07/17.36 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14871, 751, 14443])).
% 26.07/17.36 tff(14873,plain,
% 26.07/17.36 (~v127(constB115, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14872, 14865])).
% 26.07/17.36 tff(14874,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14875,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14876,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 26.07/17.36 tff(14877,plain,
% 26.07/17.36 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14876, 769, 14451])).
% 26.07/17.36 tff(14878,plain,
% 26.07/17.36 (~v129(constB116, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14877, 14873])).
% 26.07/17.36 tff(14879,plain,
% 26.07/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14880,plain,
% 26.07/17.36 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14881,plain,
% 26.07/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14880])).
% 26.07/17.36 tff(14882,plain,
% 26.07/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14881, 14879])).
% 26.07/17.36 tff(14883,plain,
% 26.07/17.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14884,plain,
% 26.07/17.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14883, 14882])).
% 26.07/17.36 tff(14885,plain,
% 26.07/17.36 ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14884, 784, 14826])).
% 26.07/17.36 tff(14886,plain,
% 26.07/17.36 (~v90(constB116, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14885, 14878])).
% 26.07/17.36 tff(14887,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14888,plain,
% 26.07/17.36 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14889,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14888])).
% 26.07/17.36 tff(14890,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14889, 14887])).
% 26.07/17.36 tff(14891,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14892,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 26.07/17.36 tff(14893,plain,
% 26.07/17.36 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14892, 395, 14840])).
% 26.07/17.36 tff(14894,plain,
% 26.07/17.36 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14893, 14852])).
% 26.07/17.36 tff(14895,plain,
% 26.07/17.36 (~v90(constB117, bitIndex1)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14894, 14886])).
% 26.07/17.36 tff(14896,plain,
% 26.07/17.36 (~v130(constB115, bitIndex0)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14736, 1683, 14435])).
% 26.07/17.36 tff(14897,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14898,plain,
% 26.07/17.36 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14899,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14898])).
% 26.07/17.36 tff(14900,plain,
% 26.07/17.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14899, 14897])).
% 26.07/17.36 tff(14901,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14902,plain,
% 26.07/17.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 26.07/17.36 tff(14903,plain,
% 26.07/17.36 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14902, 1153, 14443])).
% 26.07/17.36 tff(14904,plain,
% 26.07/17.36 (~v127(constB115, bitIndex0)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14903, 14896])).
% 26.07/17.36 tff(14905,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14906,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14907,plain,
% 26.07/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 26.07/17.36 tff(14908,plain,
% 26.07/17.36 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14907, 1171, 14451])).
% 26.07/17.36 tff(14909,plain,
% 26.07/17.36 (~v129(constB116, bitIndex0)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14908, 14904])).
% 26.07/17.36 tff(14910,plain,
% 26.07/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14911,plain,
% 26.07/17.36 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14912,plain,
% 26.07/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))))),
% 26.07/17.36 inference(monotonicity,[status(thm)],[14911])).
% 26.07/17.36 tff(14913,plain,
% 26.07/17.36 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 26.07/17.36 inference(transitivity,[status(thm)],[14912, 14910])).
% 26.07/17.36 tff(14914,plain,
% 26.07/17.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 26.07/17.36 inference(quant_inst,[status(thm)],[])).
% 26.07/17.36 tff(14915,plain,
% 26.07/17.36 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 26.07/17.36 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 26.07/17.36 tff(14916,plain,
% 26.07/17.36 ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14915, 1186, 14826])).
% 26.07/17.36 tff(14917,plain,
% 26.07/17.36 (~v90(constB116, bitIndex0)),
% 26.07/17.36 inference(unit_resolution,[status(thm)],[14916, 14909])).
% 26.07/17.36 tff(14918,plain,
% 26.07/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 26.07/17.36 inference(rewrite,[status(thm)],[])).
% 26.07/17.36 tff(14919,plain,
% 26.07/17.36 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14920,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[14919])).
% 26.07/17.37 tff(14921,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[14920, 14918])).
% 26.07/17.37 tff(14922,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14923,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 26.07/17.37 tff(14924,plain,
% 26.07/17.37 (v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14923, 416, 14840])).
% 26.07/17.37 tff(14925,plain,
% 26.07/17.37 (v90(constB116, bitIndex0) | (~v90(constB117, bitIndex0))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14924, 14852])).
% 26.07/17.37 tff(14926,plain,
% 26.07/17.37 (~v90(constB117, bitIndex0)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14925, 14917])).
% 26.07/17.37 tff(14927,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14928,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14929,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14928, 14927])).
% 26.07/17.37 tff(14930,plain,
% 26.07/17.37 (v123(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14929, 1727, 14926, 14895, 14861])).
% 26.07/17.37 tff(14931,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB117) | (~v123(constB117)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v123(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14932,plain,
% 26.07/17.37 (((~v123(constB117)) | v115(constB117)) <=> (v115(constB117) | (~v123(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14933,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB117) | (~v123(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[14932])).
% 26.07/17.37 tff(14934,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v123(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[14933, 14931])).
% 26.07/17.37 tff(14935,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14936,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB117) | (~v123(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14935, 14934])).
% 26.07/17.37 tff(14937,plain,
% 26.07/17.37 (v115(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14936, 1784, 14930])).
% 26.07/17.37 tff(14938,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB117)) | v114(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14939,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14940,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB117)) | v114(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 26.07/17.37 tff(14941,plain,
% 26.07/17.37 (v114(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14940, 504, 14937])).
% 26.07/17.37 tff(14942,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB117)) | v113(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14943,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14944,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB117)) | v113(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 26.07/17.37 tff(14945,plain,
% 26.07/17.37 (v113(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14944, 518, 14941])).
% 26.07/17.37 tff(14946,assumption,(v26(constB116)), introduced(assumption)).
% 26.07/17.37 tff(14947,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB116))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14948,plain,
% 26.07/17.37 ($false),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14947, 120, 14946])).
% 26.07/17.37 tff(14949,plain,(~v26(constB116)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.37 tff(14950,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14951,plain,
% 26.07/17.37 ((v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117))) <=> ((~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14952,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[14951])).
% 26.07/17.37 tff(14953,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[14952, 14950])).
% 26.07/17.37 tff(14954,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB116) | (~nextState(constB116, constB117)) | (~v66(constB117)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14955,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB116, constB117)) | v26(constB116) | (~v66(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 26.07/17.37 tff(14956,plain,
% 26.07/17.37 (v26(constB116) | (~v66(constB117))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14955, 148, 14840])).
% 26.07/17.37 tff(14957,plain,
% 26.07/17.37 (~v66(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14956, 14949])).
% 26.07/17.37 tff(14958,assumption,(v18(constB118)), introduced(assumption)).
% 26.07/17.37 tff(14959,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB118))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14960,plain,
% 26.07/17.37 ($false),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14959, 8, 14958])).
% 26.07/17.37 tff(14961,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.37 tff(14962,plain,
% 26.07/17.37 (v1(constB118) <=> v1(constB118)),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14963,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 26.07/17.37 tff(14964,plain,
% 26.07/17.37 (v1(constB118)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14963, 14962])).
% 26.07/17.37 tff(14965,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14966,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14967,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 26.07/17.37 tff(14968,plain,
% 26.07/17.37 (v22(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14967, 24, 14964])).
% 26.07/17.37 tff(14969,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14970,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14971,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14970, 14969])).
% 26.07/17.37 tff(14972,plain,
% 26.07/17.37 (v18(constB118) | (~v19(constB118))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14971, 38, 14968])).
% 26.07/17.37 tff(14973,plain,
% 26.07/17.37 (~v19(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14972, 14961])).
% 26.07/17.37 tff(14974,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14975,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14976,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14975, 14974])).
% 26.07/17.37 tff(14977,plain,
% 26.07/17.37 (v13(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14976, 50, 14973])).
% 26.07/17.37 tff(14978,plain,
% 26.07/17.37 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14979,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 26.07/17.37 tff(14980,plain,
% 26.07/17.37 (nextState(constB117, constB118)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14979, 14978])).
% 26.07/17.37 tff(14981,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14982,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14983,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 26.07/17.37 tff(14984,plain,
% 26.07/17.37 (v9(constB117) | (~v13(constB118))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14983, 67, 14980])).
% 26.07/17.37 tff(14985,plain,
% 26.07/17.37 (v9(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14984, 14977])).
% 26.07/17.37 tff(14986,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | v64(constB117) | (~v9(constB117)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB117) | v64(constB117) | (~v9(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14987,plain,
% 26.07/17.37 ((v1(constB117) | (~v9(constB117)) | v64(constB117)) <=> (v1(constB117) | v64(constB117) | (~v9(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14988,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v64(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | v64(constB117) | (~v9(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[14987])).
% 26.07/17.37 tff(14989,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v64(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB117) | v64(constB117) | (~v9(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[14988, 14986])).
% 26.07/17.37 tff(14990,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v64(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14991,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB117) | v64(constB117) | (~v9(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 26.07/17.37 tff(14992,plain,
% 26.07/17.37 (v64(constB117) | (~v9(constB117))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14991, 197, 14837])).
% 26.07/17.37 tff(14993,plain,
% 26.07/17.37 (v64(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14992, 14985])).
% 26.07/17.37 tff(14994,plain,
% 26.07/17.37 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB117)) | v66(constB117) | (~v64(constB117)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB117)) | v66(constB117) | (~v64(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14995,plain,
% 26.07/17.37 (((~v64(constB117)) | v66(constB117) | (~v60(constB117))) <=> ((~v60(constB117)) | v66(constB117) | (~v64(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(14996,plain,
% 26.07/17.37 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB117)) | v66(constB117) | (~v60(constB117)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB117)) | v66(constB117) | (~v64(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[14995])).
% 26.07/17.37 tff(14997,plain,
% 26.07/17.37 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB117)) | v66(constB117) | (~v60(constB117)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB117)) | v66(constB117) | (~v64(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[14996, 14994])).
% 26.07/17.37 tff(14998,plain,
% 26.07/17.37 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB117)) | v66(constB117) | (~v60(constB117)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(14999,plain,
% 26.07/17.37 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB117)) | v66(constB117) | (~v64(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 26.07/17.37 tff(15000,plain,
% 26.07/17.37 ((~v60(constB117)) | v66(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[14999, 215, 14993])).
% 26.07/17.37 tff(15001,plain,
% 26.07/17.37 (~v60(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15000, 14957])).
% 26.07/17.37 tff(15002,assumption,(v71(constB117)), introduced(assumption)).
% 26.07/17.37 tff(15003,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15004,plain,
% 26.07/17.37 ($false),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15003, 231, 15002])).
% 26.07/17.37 tff(15005,plain,(~v71(constB117)), inference(lemma,lemma(discharge,[]))).
% 26.07/17.37 tff(15006,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB117)) | v80(constB117))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB117)) | v80(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15007,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB117)) | v80(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15008,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB117)) | v80(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15007, 15006])).
% 26.07/17.37 tff(15009,plain,
% 26.07/17.37 (v80(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15008, 241, 14985])).
% 26.07/17.37 tff(15010,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB117) | v78(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB117) | v78(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15011,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB117) | v78(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15012,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB117) | v78(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15011, 15010])).
% 26.07/17.37 tff(15013,plain,
% 26.07/17.37 (v78(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15012, 252, 14837])).
% 26.07/17.37 tff(15014,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB117) | (~v80(constB117)) | (~v78(constB117)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB117) | (~v80(constB117)) | (~v78(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15015,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB117) | (~v80(constB117)) | (~v78(constB117)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15016,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB117) | (~v80(constB117)) | (~v78(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15015, 15014])).
% 26.07/17.37 tff(15017,plain,
% 26.07/17.37 (v76(constB117) | (~v80(constB117))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15016, 266, 15013])).
% 26.07/17.37 tff(15018,plain,
% 26.07/17.37 (v76(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15017, 15009])).
% 26.07/17.37 tff(15019,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB117)) | (~v72(constB117)) | v71(constB117))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB117)) | (~v72(constB117)) | v71(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15020,plain,
% 26.07/17.37 ((v71(constB117) | (~v76(constB117)) | (~v72(constB117))) <=> ((~v76(constB117)) | (~v72(constB117)) | v71(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15021,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB117) | (~v76(constB117)) | (~v72(constB117)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB117)) | (~v72(constB117)) | v71(constB117)))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15020])).
% 26.07/17.37 tff(15022,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB117) | (~v76(constB117)) | (~v72(constB117)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB117)) | (~v72(constB117)) | v71(constB117))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15021, 15019])).
% 26.07/17.37 tff(15023,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB117) | (~v76(constB117)) | (~v72(constB117)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15024,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB117)) | (~v72(constB117)) | v71(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15023, 15022])).
% 26.07/17.37 tff(15025,plain,
% 26.07/17.37 ((~v72(constB117)) | v71(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15024, 281, 15018])).
% 26.07/17.37 tff(15026,plain,
% 26.07/17.37 (~v72(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15025, 15005])).
% 26.07/17.37 tff(15027,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB117) | v72(constB117) | v74(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB117) | v72(constB117) | v74(constB117))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15028,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB117) | v72(constB117) | v74(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15029,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB117) | v72(constB117) | v74(constB117)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15028, 15027])).
% 26.07/17.37 tff(15030,plain,
% 26.07/17.37 (v72(constB117) | v74(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15029, 299, 14837])).
% 26.07/17.37 tff(15031,plain,
% 26.07/17.37 (v74(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15030, 15026])).
% 26.07/17.37 tff(15032,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB117) | (~v26(constB117)) | (~v74(constB117)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB117) | (~v26(constB117)) | (~v74(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15033,plain,
% 26.07/17.37 (((~v26(constB117)) | v60(constB117) | (~v74(constB117))) <=> (v60(constB117) | (~v26(constB117)) | (~v74(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15034,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB117)) | v60(constB117) | (~v74(constB117)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB117) | (~v26(constB117)) | (~v74(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15033])).
% 26.07/17.37 tff(15035,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB117)) | v60(constB117) | (~v74(constB117)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB117) | (~v26(constB117)) | (~v74(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15034, 15032])).
% 26.07/17.37 tff(15036,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB117)) | v60(constB117) | (~v74(constB117)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15037,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB117) | (~v26(constB117)) | (~v74(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 26.07/17.37 tff(15038,plain,
% 26.07/17.37 (v60(constB117) | (~v26(constB117))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15037, 314, 15031])).
% 26.07/17.37 tff(15039,plain,
% 26.07/17.37 (~v26(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15038, 15001])).
% 26.07/17.37 tff(15040,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15041,plain,
% 26.07/17.37 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15042,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15041])).
% 26.07/17.37 tff(15043,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15042, 15040])).
% 26.07/17.37 tff(15044,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15045,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15044, 15043])).
% 26.07/17.37 tff(15046,plain,
% 26.07/17.37 (v112(constB117) | (~v113(constB117))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15045, 532, 15039])).
% 26.07/17.37 tff(15047,plain,
% 26.07/17.37 (v112(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15046, 14945])).
% 26.07/17.37 tff(15048,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15049,plain,
% 26.07/17.37 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15050,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15049])).
% 26.07/17.37 tff(15051,plain,
% 26.07/17.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15050, 15048])).
% 26.07/17.37 tff(15052,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15053,plain,
% 26.07/17.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 26.07/17.37 tff(15054,plain,
% 26.07/17.37 (v108(constB117)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15053, 544, 15047])).
% 26.07/17.37 tff(15055,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15056,plain,
% 26.07/17.37 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15057,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15056])).
% 26.07/17.37 tff(15058,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15057, 15055])).
% 26.07/17.37 tff(15059,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15060,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 26.07/17.37 tff(15061,plain,
% 26.07/17.37 (v110(constB118) | (~v108(constB117))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15060, 564, 14980])).
% 26.07/17.37 tff(15062,plain,
% 26.07/17.37 (v110(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15061, 15054])).
% 26.07/17.37 tff(15063,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15064,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15065,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 26.07/17.37 tff(15066,plain,
% 26.07/17.37 (~v104(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15065, 582, 14980, 14837])).
% 26.07/17.37 tff(15067,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15068,plain,
% 26.07/17.37 (((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15069,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15068])).
% 26.07/17.37 tff(15070,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15069, 15067])).
% 26.07/17.37 tff(15071,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15072,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | v102(constB118)),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15071, 15070])).
% 26.07/17.37 tff(15073,plain,
% 26.07/17.37 (v104(constB118) | v102(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15072, 596, 14980])).
% 26.07/17.37 tff(15074,plain,
% 26.07/17.37 (v102(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15073, 15066])).
% 26.07/17.37 tff(15075,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15076,plain,
% 26.07/17.37 (((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))) <=> ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15077,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))))),
% 26.07/17.37 inference(monotonicity,[status(thm)],[15076])).
% 26.07/17.37 tff(15078,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118)))),
% 26.07/17.37 inference(transitivity,[status(thm)],[15077, 15075])).
% 26.07/17.37 tff(15079,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 26.07/17.37 inference(quant_inst,[status(thm)],[])).
% 26.07/17.37 tff(15080,plain,
% 26.07/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | (~v1(constB118)) | v101(constB118) | (~v102(constB118))),
% 26.07/17.37 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 26.07/17.37 tff(15081,plain,
% 26.07/17.37 (v101(constB118) | (~v102(constB118))),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15080, 617, 14980, 14964])).
% 26.07/17.37 tff(15082,plain,
% 26.07/17.37 (v101(constB118)),
% 26.07/17.37 inference(unit_resolution,[status(thm)],[15081, 15074])).
% 26.07/17.37 tff(15083,plain,
% 26.07/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 26.07/17.37 inference(rewrite,[status(thm)],[])).
% 26.07/17.37 tff(15084,plain,
% 26.07/17.37 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15085,plain,
% 26.07/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 26.07/17.38 inference(monotonicity,[status(thm)],[15084])).
% 26.07/17.38 tff(15086,plain,
% 26.07/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 26.07/17.38 inference(transitivity,[status(thm)],[15085, 15083])).
% 26.07/17.38 tff(15087,plain,
% 26.07/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 26.07/17.38 inference(quant_inst,[status(thm)],[])).
% 26.07/17.38 tff(15088,plain,
% 26.07/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15087, 15086])).
% 26.07/17.38 tff(15089,plain,
% 26.07/17.38 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15088, 635, 14980])).
% 26.07/17.38 tff(15090,plain,
% 26.07/17.38 (v100(constB118) | (~v110(constB118))),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15089, 15082])).
% 26.07/17.38 tff(15091,plain,
% 26.07/17.38 (v100(constB118)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15090, 15062])).
% 26.07/17.38 tff(15092,plain,
% 26.07/17.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15093,plain,
% 26.07/17.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 26.07/17.38 inference(quant_inst,[status(thm)],[])).
% 26.07/17.38 tff(15094,plain,
% 26.07/17.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1))),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 26.07/17.38 tff(15095,plain,
% 26.07/17.38 (~v130(constB117, bitIndex1)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15094, 1893, 14930])).
% 26.07/17.38 tff(15096,plain,
% 26.07/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15097,plain,
% 26.07/17.38 ((v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1))) <=> ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15098,plain,
% 26.07/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)))),
% 26.07/17.38 inference(monotonicity,[status(thm)],[15097])).
% 26.07/17.38 tff(15099,plain,
% 26.07/17.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 26.07/17.38 inference(transitivity,[status(thm)],[15098, 15096])).
% 26.07/17.38 tff(15100,plain,
% 26.07/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))),
% 26.07/17.38 inference(quant_inst,[status(thm)],[])).
% 26.07/17.38 tff(15101,plain,
% 26.07/17.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 26.07/17.38 tff(15102,plain,
% 26.07/17.38 ((~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15101, 751, 15039])).
% 26.07/17.38 tff(15103,plain,
% 26.07/17.38 (~v127(constB117, bitIndex1)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15102, 15095])).
% 26.07/17.38 tff(15104,plain,
% 26.07/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15105,plain,
% 26.07/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 26.07/17.38 inference(quant_inst,[status(thm)],[])).
% 26.07/17.38 tff(15106,plain,
% 26.07/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 26.07/17.38 tff(15107,plain,
% 26.07/17.38 (v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15106, 769, 14980])).
% 26.07/17.38 tff(15108,plain,
% 26.07/17.38 (~v129(constB118, bitIndex1)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15107, 15103])).
% 26.07/17.38 tff(15109,plain,
% 26.07/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15110,plain,
% 26.07/17.38 (((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15111,plain,
% 26.07/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))))),
% 26.07/17.38 inference(monotonicity,[status(thm)],[15110])).
% 26.07/17.38 tff(15112,plain,
% 26.07/17.38 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 26.07/17.38 inference(transitivity,[status(thm)],[15111, 15109])).
% 26.07/17.38 tff(15113,plain,
% 26.07/17.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))),
% 26.07/17.38 inference(quant_inst,[status(thm)],[])).
% 26.07/17.38 tff(15114,plain,
% 26.07/17.38 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 26.07/17.38 tff(15115,plain,
% 26.07/17.38 ((~v90(constB118, bitIndex1)) | (~v100(constB118))),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15114, 784, 15108])).
% 26.07/17.38 tff(15116,plain,
% 26.07/17.38 (~v90(constB118, bitIndex1)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15115, 15091])).
% 26.07/17.38 tff(15117,plain,
% 26.07/17.38 ((~v1(constB119)) <=> (~v1(constB119))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15118,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 26.07/17.38 tff(15119,plain,
% 26.07/17.38 (~v1(constB119)),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 26.07/17.38 tff(15120,plain,
% 26.07/17.38 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15121,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 26.07/17.38 tff(15122,plain,
% 26.07/17.38 (nextState(constB118, constB119)),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 26.07/17.38 tff(15123,plain,
% 26.07/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15124,plain,
% 26.07/17.38 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 26.07/17.38 inference(rewrite,[status(thm)],[])).
% 26.07/17.38 tff(15125,plain,
% 26.07/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 26.07/17.38 inference(monotonicity,[status(thm)],[15124])).
% 26.07/17.38 tff(15126,plain,
% 26.07/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 26.07/17.38 inference(transitivity,[status(thm)],[15125, 15123])).
% 26.07/17.38 tff(15127,plain,
% 26.07/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 26.07/17.38 inference(quant_inst,[status(thm)],[])).
% 26.07/17.38 tff(15128,plain,
% 26.07/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 26.07/17.38 inference(modus_ponens,[status(thm)],[15127, 15126])).
% 26.07/17.38 tff(15129,plain,
% 26.07/17.38 (~v101(constB119)),
% 26.07/17.38 inference(unit_resolution,[status(thm)],[15128, 342, 15122, 15119])).
% 26.12/17.38 tff(15130,plain,
% 26.12/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15131,plain,
% 26.12/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15132,plain,
% 26.12/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15131, 15130])).
% 26.12/17.38 tff(15133,plain,
% 26.12/17.38 (v101(constB119) | (~v100(constB119))),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15132, 359, 15122])).
% 26.12/17.38 tff(15134,plain,
% 26.12/17.38 (~v100(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15133, 15129])).
% 26.12/17.38 tff(15135,plain,
% 26.12/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15136,plain,
% 26.12/17.38 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15137,plain,
% 26.12/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15136])).
% 26.12/17.38 tff(15138,plain,
% 26.12/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15137, 15135])).
% 26.12/17.38 tff(15139,plain,
% 26.12/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15140,plain,
% 26.12/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15139, 15138])).
% 26.12/17.38 tff(15141,plain,
% 26.12/17.38 (v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15140, 395, 15122])).
% 26.12/17.38 tff(15142,plain,
% 26.12/17.38 (v90(constB118, bitIndex1) | (~v90(constB119, bitIndex1))),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15141, 15134])).
% 26.12/17.38 tff(15143,plain,
% 26.12/17.38 (~v90(constB119, bitIndex1)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15142, 15116])).
% 26.12/17.38 tff(15144,assumption,(~v114(constB119)), introduced(assumption)).
% 26.12/17.38 tff(15145,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15146,plain,
% 26.12/17.38 (((~v115(constB119)) | v114(constB119)) <=> (v114(constB119) | (~v115(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15147,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v115(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15146])).
% 26.12/17.38 tff(15148,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15147, 15145])).
% 26.12/17.38 tff(15149,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15150,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15149, 15148])).
% 26.12/17.38 tff(15151,plain,
% 26.12/17.38 (~v115(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15150, 504, 15144])).
% 26.12/17.38 tff(15152,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15153,plain,
% 26.12/17.38 (((~v116(constB119)) | v115(constB119)) <=> (v115(constB119) | (~v116(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15154,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v116(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15153])).
% 26.12/17.38 tff(15155,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15154, 15152])).
% 26.12/17.38 tff(15156,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15157,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v116(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15156, 15155])).
% 26.12/17.38 tff(15158,plain,
% 26.12/17.38 (~v116(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15157, 490, 15151])).
% 26.12/17.38 tff(15159,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15160,plain,
% 26.12/17.38 (((~v117(constB119)) | v116(constB119)) <=> (v116(constB119) | (~v117(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15161,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15160])).
% 26.12/17.38 tff(15162,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15161, 15159])).
% 26.12/17.38 tff(15163,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15164,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15163, 15162])).
% 26.12/17.38 tff(15165,plain,
% 26.12/17.38 (~v117(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15164, 476, 15158])).
% 26.12/17.38 tff(15166,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB119) | (~v118(constB119)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15167,plain,
% 26.12/17.38 (((~v118(constB119)) | v117(constB119)) <=> (v117(constB119) | (~v118(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15168,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB119) | (~v118(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15167])).
% 26.12/17.38 tff(15169,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15168, 15166])).
% 26.12/17.38 tff(15170,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15171,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15170, 15169])).
% 26.12/17.38 tff(15172,plain,
% 26.12/17.38 (~v118(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15171, 462, 15165])).
% 26.12/17.38 tff(15173,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v120(constB119)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15174,plain,
% 26.12/17.38 (((~v120(constB119)) | v118(constB119)) <=> (v118(constB119) | (~v120(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15175,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v120(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15174])).
% 26.12/17.38 tff(15176,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15175, 15173])).
% 26.12/17.38 tff(15177,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15178,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 26.12/17.38 tff(15179,plain,
% 26.12/17.38 (~v120(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15178, 900, 15172])).
% 26.12/17.38 tff(15180,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v123(constB119)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v123(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15181,plain,
% 26.12/17.38 (((~v123(constB119)) | v115(constB119)) <=> (v115(constB119) | (~v123(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15182,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v123(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15181])).
% 26.12/17.38 tff(15183,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v123(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15182, 15180])).
% 26.12/17.38 tff(15184,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15185,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v123(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15184, 15183])).
% 26.12/17.38 tff(15186,plain,
% 26.12/17.38 (~v123(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15185, 1784, 15151])).
% 26.12/17.38 tff(15187,assumption,(~v90(constB119, bitIndex1)), introduced(assumption)).
% 26.12/17.38 tff(15188,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v119(constB119)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15189,plain,
% 26.12/17.38 (((~v119(constB119)) | v118(constB119)) <=> (v118(constB119) | (~v119(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15190,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v119(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15189])).
% 26.12/17.38 tff(15191,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15190, 15188])).
% 26.12/17.38 tff(15192,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15193,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15192, 15191])).
% 26.12/17.38 tff(15194,plain,
% 26.12/17.38 (~v119(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15193, 451, 15172])).
% 26.12/17.38 tff(15195,assumption,(~v119(constB119)), introduced(assumption)).
% 26.12/17.38 tff(15196,assumption,(~v90(constB119, bitIndex0)), introduced(assumption)).
% 26.12/17.38 tff(15197,assumption,(~v123(constB119)), introduced(assumption)).
% 26.12/17.38 tff(15198,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15199,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15200,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119)),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15199, 15198])).
% 26.12/17.38 tff(15201,plain,
% 26.12/17.38 (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex2)) | v123(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15200, 1727, 15187])).
% 26.12/17.38 tff(15202,plain,
% 26.12/17.38 (~v90(constB119, bitIndex2)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15201, 15196, 15197])).
% 26.12/17.38 tff(15203,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15204,plain,
% 26.12/17.38 ((v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2)) <=> (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15205,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119)))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15204])).
% 26.12/17.38 tff(15206,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15205, 15203])).
% 26.12/17.38 tff(15207,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15208,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v119(constB119)),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15207, 15206])).
% 26.12/17.38 tff(15209,plain,
% 26.12/17.38 (v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | v119(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15208, 437, 15187])).
% 26.12/17.38 tff(15210,plain,
% 26.12/17.38 ($false),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15209, 15202, 15196, 15195])).
% 26.12/17.38 tff(15211,plain,(v90(constB119, bitIndex0) | v119(constB119) | v90(constB119, bitIndex1) | v123(constB119)), inference(lemma,lemma(discharge,[]))).
% 26.12/17.38 tff(15212,plain,
% 26.12/17.38 (v90(constB119, bitIndex0)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15211, 15194, 15187, 15186])).
% 26.12/17.38 tff(15213,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15214,plain,
% 26.12/17.38 (((~v124(constB119)) | v114(constB119)) <=> (v114(constB119) | (~v124(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15215,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v124(constB119))))),
% 26.12/17.38 inference(monotonicity,[status(thm)],[15214])).
% 26.12/17.38 tff(15216,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119)))),
% 26.12/17.38 inference(transitivity,[status(thm)],[15215, 15213])).
% 26.12/17.38 tff(15217,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15218,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119))),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15217, 15216])).
% 26.12/17.38 tff(15219,plain,
% 26.12/17.38 (~v124(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15218, 1986, 15144])).
% 26.12/17.38 tff(15220,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15221,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15222,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 26.12/17.38 tff(15223,plain,
% 26.12/17.38 ((~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15222, 1975, 15187])).
% 26.12/17.38 tff(15224,plain,
% 26.12/17.38 (~v90(constB119, bitIndex2)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15223, 15212, 15219])).
% 26.12/17.38 tff(15225,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15226,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 26.12/17.38 inference(quant_inst,[status(thm)],[])).
% 26.12/17.38 tff(15227,plain,
% 26.12/17.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119)),
% 26.12/17.38 inference(modus_ponens,[status(thm)],[15226, 15225])).
% 26.12/17.38 tff(15228,plain,
% 26.12/17.38 ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex2) | v120(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15227, 889, 15187])).
% 26.12/17.38 tff(15229,plain,
% 26.12/17.38 ($false),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15228, 15224, 15212, 15179])).
% 26.12/17.38 tff(15230,plain,(v114(constB119) | v90(constB119, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 26.12/17.38 tff(15231,plain,
% 26.12/17.38 (v114(constB119)),
% 26.12/17.38 inference(unit_resolution,[status(thm)],[15230, 15143])).
% 26.12/17.38 tff(15232,plain,
% 26.12/17.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 26.12/17.38 inference(rewrite,[status(thm)],[])).
% 26.12/17.38 tff(15233,plain,
% 26.12/17.39 (((~v114(constB119)) | v113(constB119)) <=> (v113(constB119) | (~v114(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15234,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15233])).
% 26.12/17.39 tff(15235,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15234, 15232])).
% 26.12/17.39 tff(15236,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15237,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 26.12/17.39 tff(15238,plain,
% 26.12/17.39 (v113(constB119)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15237, 518, 15231])).
% 26.12/17.39 tff(15239,assumption,(v26(constB119)), introduced(assumption)).
% 26.12/17.39 tff(15240,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15241,plain,
% 26.12/17.39 ($false),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15240, 120, 15239])).
% 26.12/17.39 tff(15242,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 26.12/17.39 tff(15243,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | v112(constB119) | (~v113(constB119)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | v112(constB119) | (~v113(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15244,plain,
% 26.12/17.39 ((v26(constB119) | (~v113(constB119)) | v112(constB119)) <=> (v26(constB119) | v112(constB119) | (~v113(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15245,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | v112(constB119) | (~v113(constB119))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15244])).
% 26.12/17.39 tff(15246,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | v112(constB119) | (~v113(constB119)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15245, 15243])).
% 26.12/17.39 tff(15247,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15248,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | v112(constB119) | (~v113(constB119))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 26.12/17.39 tff(15249,plain,
% 26.12/17.39 (v112(constB119) | (~v113(constB119))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15248, 532, 15242])).
% 26.12/17.39 tff(15250,plain,
% 26.12/17.39 (v112(constB119)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15249, 15238])).
% 26.12/17.39 tff(15251,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15252,plain,
% 26.12/17.39 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15253,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15252])).
% 26.12/17.39 tff(15254,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15253, 15251])).
% 26.12/17.39 tff(15255,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15256,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15255, 15254])).
% 26.12/17.39 tff(15257,plain,
% 26.12/17.39 (v108(constB119)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15256, 544, 15250])).
% 26.12/17.39 tff(15258,plain,
% 26.12/17.39 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15259,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 26.12/17.39 tff(15260,plain,
% 26.12/17.39 (nextState(constB119, constB120)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 26.12/17.39 tff(15261,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15262,plain,
% 26.12/17.39 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15263,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15262])).
% 26.12/17.39 tff(15264,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15263, 15261])).
% 26.12/17.39 tff(15265,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15266,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 26.12/17.39 tff(15267,plain,
% 26.12/17.39 (v110(constB120) | (~v108(constB119))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15266, 564, 15260])).
% 26.12/17.39 tff(15268,plain,
% 26.12/17.39 (v110(constB120)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15267, 15257])).
% 26.12/17.39 tff(15269,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15270,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15271,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15270, 15269])).
% 26.12/17.39 tff(15272,plain,
% 26.12/17.39 (~v104(constB120)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15271, 582, 15260, 15119])).
% 26.12/17.39 tff(15273,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15274,plain,
% 26.12/17.39 (((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15275,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15274])).
% 26.12/17.39 tff(15276,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15275, 15273])).
% 26.12/17.39 tff(15277,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15278,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | v102(constB120)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15277, 15276])).
% 26.12/17.39 tff(15279,plain,
% 26.12/17.39 (v104(constB120) | v102(constB120)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15278, 596, 15260])).
% 26.12/17.39 tff(15280,plain,
% 26.12/17.39 (v102(constB120)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15279, 15272])).
% 26.12/17.39 tff(15281,plain,
% 26.12/17.39 (v1(constB120) <=> v1(constB120)),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15282,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 26.12/17.39 tff(15283,plain,
% 26.12/17.39 (v1(constB120)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15282, 15281])).
% 26.12/17.39 tff(15284,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15285,plain,
% 26.12/17.39 (((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))) <=> ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15286,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15285])).
% 26.12/17.39 tff(15287,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15286, 15284])).
% 26.12/17.39 tff(15288,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15289,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | (~v1(constB120)) | v101(constB120) | (~v102(constB120))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 26.12/17.39 tff(15290,plain,
% 26.12/17.39 (v101(constB120) | (~v102(constB120))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15289, 617, 15260, 15283])).
% 26.12/17.39 tff(15291,plain,
% 26.12/17.39 (v101(constB120)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15290, 15280])).
% 26.12/17.39 tff(15292,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15293,plain,
% 26.12/17.39 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15294,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15293])).
% 26.12/17.39 tff(15295,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15294, 15292])).
% 26.12/17.39 tff(15296,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15297,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 26.12/17.39 tff(15298,plain,
% 26.12/17.39 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15297, 635, 15260])).
% 26.12/17.39 tff(15299,plain,
% 26.12/17.39 (v100(constB120) | (~v110(constB120))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15298, 15291])).
% 26.12/17.39 tff(15300,plain,
% 26.12/17.39 (v100(constB120)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15299, 15268])).
% 26.12/17.39 tff(15301,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15302,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15303,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15302, 15301])).
% 26.12/17.39 tff(15304,plain,
% 26.12/17.39 (v130(constB117, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15303, 1738, 14930])).
% 26.12/17.39 tff(15305,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15306,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15307,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 26.12/17.39 tff(15308,plain,
% 26.12/17.39 ((~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15307, 1560, 15039])).
% 26.12/17.39 tff(15309,plain,
% 26.12/17.39 (v127(constB117, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15308, 15304])).
% 26.12/17.39 tff(15310,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15311,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15312,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 26.12/17.39 tff(15313,plain,
% 26.12/17.39 ((~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15312, 1575, 14980])).
% 26.12/17.39 tff(15314,plain,
% 26.12/17.39 (v129(constB118, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15313, 15309])).
% 26.12/17.39 tff(15315,plain,
% 26.12/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15316,plain,
% 26.12/17.39 ((v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15317,plain,
% 26.12/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15316])).
% 26.12/17.39 tff(15318,plain,
% 26.12/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15317, 15315])).
% 26.12/17.39 tff(15319,plain,
% 26.12/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15320,plain,
% 26.12/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15319, 15318])).
% 26.12/17.39 tff(15321,plain,
% 26.12/17.39 (v90(constB118, bitIndex2) | (~v100(constB118))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15320, 1590, 15314])).
% 26.12/17.39 tff(15322,plain,
% 26.12/17.39 (v90(constB118, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15321, 15091])).
% 26.12/17.39 tff(15323,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15324,plain,
% 26.12/17.39 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15325,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15324])).
% 26.12/17.39 tff(15326,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15325, 15323])).
% 26.12/17.39 tff(15327,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15328,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15327, 15326])).
% 26.12/17.39 tff(15329,plain,
% 26.12/17.39 ((~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15328, 1626, 15122])).
% 26.12/17.39 tff(15330,plain,
% 26.12/17.39 ((~v90(constB118, bitIndex2)) | v90(constB119, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15329, 15134])).
% 26.12/17.39 tff(15331,plain,
% 26.12/17.39 (v90(constB119, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15330, 15322])).
% 26.12/17.39 tff(15332,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15333,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15334,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15333, 15332])).
% 26.12/17.39 tff(15335,plain,
% 26.12/17.39 (v130(constB117, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15334, 1934, 14930])).
% 26.12/17.39 tff(15336,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15337,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15338,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 26.12/17.39 tff(15339,plain,
% 26.12/17.39 ((~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15338, 822, 15039])).
% 26.12/17.39 tff(15340,plain,
% 26.12/17.39 (v127(constB117, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15339, 15335])).
% 26.12/17.39 tff(15341,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15342,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15343,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 26.12/17.39 tff(15344,plain,
% 26.12/17.39 ((~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15343, 837, 14980])).
% 26.12/17.39 tff(15345,plain,
% 26.12/17.39 (v129(constB118, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15344, 15340])).
% 26.12/17.39 tff(15346,plain,
% 26.12/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15347,plain,
% 26.12/17.39 ((v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15348,plain,
% 26.12/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15347])).
% 26.12/17.39 tff(15349,plain,
% 26.12/17.39 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15348, 15346])).
% 26.12/17.39 tff(15350,plain,
% 26.12/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15351,plain,
% 26.12/17.39 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 26.12/17.39 tff(15352,plain,
% 26.12/17.39 (v90(constB118, bitIndex0) | (~v100(constB118))),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15351, 852, 15345])).
% 26.12/17.39 tff(15353,plain,
% 26.12/17.39 (v90(constB118, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15352, 15091])).
% 26.12/17.39 tff(15354,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15355,plain,
% 26.12/17.39 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15356,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)))),
% 26.12/17.39 inference(monotonicity,[status(thm)],[15355])).
% 26.12/17.39 tff(15357,plain,
% 26.12/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 26.12/17.39 inference(transitivity,[status(thm)],[15356, 15354])).
% 26.12/17.39 tff(15358,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15359,plain,
% 26.12/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15358, 15357])).
% 26.12/17.39 tff(15360,plain,
% 26.12/17.39 ((~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15359, 870, 15122])).
% 26.12/17.39 tff(15361,plain,
% 26.12/17.39 ((~v90(constB118, bitIndex0)) | v90(constB119, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15360, 15134])).
% 26.12/17.39 tff(15362,plain,
% 26.12/17.39 (v90(constB119, bitIndex0)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15361, 15353])).
% 26.12/17.39 tff(15363,plain,
% 26.12/17.39 (v124(constB119)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15222, 1975, 15362, 15143, 15331])).
% 26.12/17.39 tff(15364,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15365,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))),
% 26.12/17.39 inference(quant_inst,[status(thm)],[])).
% 26.12/17.39 tff(15366,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2)),
% 26.12/17.39 inference(modus_ponens,[status(thm)],[15365, 15364])).
% 26.12/17.39 tff(15367,plain,
% 26.12/17.39 (v130(constB119, bitIndex2)),
% 26.12/17.39 inference(unit_resolution,[status(thm)],[15366, 2066, 15363])).
% 26.12/17.39 tff(15368,plain,
% 26.12/17.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 26.12/17.39 inference(rewrite,[status(thm)],[])).
% 26.12/17.39 tff(15369,plain,
% 26.12/17.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15370,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15369, 15368])).
% 26.12/17.40 tff(15371,plain,
% 26.12/17.40 ((~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15370, 1560, 15242])).
% 26.12/17.40 tff(15372,plain,
% 26.12/17.40 (v127(constB119, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15371, 15367])).
% 26.12/17.40 tff(15373,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15374,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15375,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 26.12/17.40 tff(15376,plain,
% 26.12/17.40 ((~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15375, 1575, 15260])).
% 26.12/17.40 tff(15377,plain,
% 26.12/17.40 (v129(constB120, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15376, 15372])).
% 26.12/17.40 tff(15378,plain,
% 26.12/17.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15379,plain,
% 26.12/17.40 ((v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15380,plain,
% 26.12/17.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))))),
% 26.12/17.40 inference(monotonicity,[status(thm)],[15379])).
% 26.12/17.40 tff(15381,plain,
% 26.12/17.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 26.12/17.40 inference(transitivity,[status(thm)],[15380, 15378])).
% 26.12/17.40 tff(15382,plain,
% 26.12/17.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15383,plain,
% 26.12/17.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 26.12/17.40 tff(15384,plain,
% 26.12/17.40 (v90(constB120, bitIndex2) | (~v100(constB120))),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15383, 1590, 15377])).
% 26.12/17.40 tff(15385,plain,
% 26.12/17.40 (v90(constB120, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15384, 15300])).
% 26.12/17.40 tff(15386,plain,
% 26.12/17.40 ((~v1(constB121)) <=> (~v1(constB121))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15387,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 26.12/17.40 tff(15388,plain,
% 26.12/17.40 (~v1(constB121)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 26.12/17.40 tff(15389,plain,
% 26.12/17.40 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15390,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 26.12/17.40 tff(15391,plain,
% 26.12/17.40 (nextState(constB120, constB121)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 26.12/17.40 tff(15392,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15393,plain,
% 26.12/17.40 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15394,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 26.12/17.40 inference(monotonicity,[status(thm)],[15393])).
% 26.12/17.40 tff(15395,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 26.12/17.40 inference(transitivity,[status(thm)],[15394, 15392])).
% 26.12/17.40 tff(15396,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15397,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15396, 15395])).
% 26.12/17.40 tff(15398,plain,
% 26.12/17.40 (~v101(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15397, 342, 15391, 15388])).
% 26.12/17.40 tff(15399,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15400,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15401,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 26.12/17.40 tff(15402,plain,
% 26.12/17.40 (v101(constB121) | (~v100(constB121))),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15401, 359, 15391])).
% 26.12/17.40 tff(15403,plain,
% 26.12/17.40 (~v100(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15402, 15398])).
% 26.12/17.40 tff(15404,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15405,plain,
% 26.12/17.40 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15406,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)))),
% 26.12/17.40 inference(monotonicity,[status(thm)],[15405])).
% 26.12/17.40 tff(15407,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 26.12/17.40 inference(transitivity,[status(thm)],[15406, 15404])).
% 26.12/17.40 tff(15408,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15409,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15408, 15407])).
% 26.12/17.40 tff(15410,plain,
% 26.12/17.40 ((~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15409, 1626, 15391])).
% 26.12/17.40 tff(15411,plain,
% 26.12/17.40 ((~v90(constB120, bitIndex2)) | v90(constB121, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15410, 15403])).
% 26.12/17.40 tff(15412,plain,
% 26.12/17.40 (v90(constB121, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15411, 15385])).
% 26.12/17.40 tff(15413,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v90(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v90(constB121, bitIndex2)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15414,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB121)) | (~v90(constB121, bitIndex2)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15415,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB121)) | (~v90(constB121, bitIndex2))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 26.12/17.40 tff(15416,plain,
% 26.12/17.40 (~v121(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15415, 2287, 15412])).
% 26.12/17.40 tff(15417,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB121)) | (~v90(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB121)) | (~v90(constB121, bitIndex2)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15418,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB121)) | (~v90(constB121, bitIndex2)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15419,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB121)) | (~v90(constB121, bitIndex2))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 26.12/17.40 tff(15420,plain,
% 26.12/17.40 (~v122(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15419, 2298, 15412])).
% 26.12/17.40 tff(15421,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15422,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15423,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15422, 15421])).
% 26.12/17.40 tff(15424,plain,
% 26.12/17.40 (v130(constB119, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15423, 2122, 15363])).
% 26.12/17.40 tff(15425,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15426,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15427,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15426, 15425])).
% 26.12/17.40 tff(15428,plain,
% 26.12/17.40 ((~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15427, 1075, 15242])).
% 26.12/17.40 tff(15429,plain,
% 26.12/17.40 (v127(constB119, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15428, 15424])).
% 26.12/17.40 tff(15430,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15431,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15432,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 26.12/17.40 tff(15433,plain,
% 26.12/17.40 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15432, 1090, 15260])).
% 26.12/17.40 tff(15434,plain,
% 26.12/17.40 (v129(constB120, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15433, 15429])).
% 26.12/17.40 tff(15435,plain,
% 26.12/17.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15436,plain,
% 26.12/17.40 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15437,plain,
% 26.12/17.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 26.12/17.40 inference(monotonicity,[status(thm)],[15436])).
% 26.12/17.40 tff(15438,plain,
% 26.12/17.40 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 26.12/17.40 inference(transitivity,[status(thm)],[15437, 15435])).
% 26.12/17.40 tff(15439,plain,
% 26.12/17.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15440,plain,
% 26.12/17.40 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15439, 15438])).
% 26.12/17.40 tff(15441,plain,
% 26.12/17.40 (v90(constB120, bitIndex1) | (~v100(constB120))),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15440, 1105, 15434])).
% 26.12/17.40 tff(15442,plain,
% 26.12/17.40 (v90(constB120, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15441, 15300])).
% 26.12/17.40 tff(15443,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15444,plain,
% 26.12/17.40 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15445,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(monotonicity,[status(thm)],[15444])).
% 26.12/17.40 tff(15446,plain,
% 26.12/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 26.12/17.40 inference(transitivity,[status(thm)],[15445, 15443])).
% 26.12/17.40 tff(15447,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15448,plain,
% 26.12/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 26.12/17.40 tff(15449,plain,
% 26.12/17.40 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15448, 1123, 15391])).
% 26.12/17.40 tff(15450,plain,
% 26.12/17.40 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15449, 15403])).
% 26.12/17.40 tff(15451,plain,
% 26.12/17.40 (v90(constB121, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15450, 15442])).
% 26.12/17.40 tff(15452,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15453,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15454,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15453, 15452])).
% 26.12/17.40 tff(15455,plain,
% 26.12/17.40 (~v119(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15454, 2309, 15451])).
% 26.12/17.40 tff(15456,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15457,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15458,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB121)) | (~v90(constB121, bitIndex1))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 26.12/17.40 tff(15459,plain,
% 26.12/17.40 (~v120(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15458, 2320, 15451])).
% 26.12/17.40 tff(15460,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15461,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15462,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB121)) | (~v90(constB121, bitIndex1))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15461, 15460])).
% 26.12/17.40 tff(15463,plain,
% 26.12/17.40 (~v123(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15462, 2331, 15451])).
% 26.12/17.40 tff(15464,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15465,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB121)) | (~v90(constB121, bitIndex1)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15466,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB121)) | (~v90(constB121, bitIndex1))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 26.12/17.40 tff(15467,plain,
% 26.12/17.40 (~v124(constB121)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15466, 2342, 15451])).
% 26.12/17.40 tff(15468,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15469,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15470,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15469, 15468])).
% 26.12/17.40 tff(15471,plain,
% 26.12/17.40 (~v130(constB121, bitIndex2)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15470, 2356, 15467, 15463, 15459, 15455, 15420, 15416])).
% 26.12/17.40 tff(15472,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15473,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15474,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15473, 15472])).
% 26.12/17.40 tff(15475,plain,
% 26.12/17.40 (~v130(constB121, bitIndex1)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15474, 2415, 15467, 15463, 15459, 15455, 15420, 15416])).
% 26.12/17.40 tff(15476,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15477,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15478,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0)),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15477, 15476])).
% 26.12/17.40 tff(15479,plain,
% 26.12/17.40 (v130(constB121, bitIndex0)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15478, 2459, 15467, 15463, 15459, 15455, 15420, 15416])).
% 26.12/17.40 tff(15480,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15481,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 26.12/17.40 inference(quant_inst,[status(thm)],[])).
% 26.12/17.40 tff(15482,plain,
% 26.12/17.40 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0))),
% 26.12/17.40 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 26.12/17.40 tff(15483,plain,
% 26.12/17.40 (~v130(constB119, bitIndex0)),
% 26.12/17.40 inference(unit_resolution,[status(thm)],[15482, 2160, 15363])).
% 26.12/17.40 tff(15484,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15485,plain,
% 26.12/17.40 ((v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0))) <=> ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 26.12/17.40 inference(rewrite,[status(thm)],[])).
% 26.12/17.40 tff(15486,plain,
% 26.12/17.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)))),
% 26.12/17.40 inference(monotonicity,[status(thm)],[15485])).
% 26.12/17.41 tff(15487,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15486, 15484])).
% 26.12/17.41 tff(15488,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15489,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15488, 15487])).
% 26.12/17.41 tff(15490,plain,
% 26.12/17.41 ((~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15489, 1153, 15242])).
% 26.12/17.41 tff(15491,plain,
% 26.12/17.41 (~v127(constB119, bitIndex0)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15490, 15483])).
% 26.12/17.41 tff(15492,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15493,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15494,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 26.12/17.41 tff(15495,plain,
% 26.12/17.41 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15494, 1171, 15260])).
% 26.12/17.41 tff(15496,plain,
% 26.12/17.41 (~v129(constB120, bitIndex0)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15495, 15491])).
% 26.12/17.41 tff(15497,plain,
% 26.12/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15498,plain,
% 26.12/17.41 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15499,plain,
% 26.12/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15498])).
% 26.12/17.41 tff(15500,plain,
% 26.12/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15499, 15497])).
% 26.12/17.41 tff(15501,plain,
% 26.12/17.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15502,plain,
% 26.12/17.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15501, 15500])).
% 26.12/17.41 tff(15503,plain,
% 26.12/17.41 ((~v90(constB120, bitIndex0)) | (~v100(constB120))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15502, 1186, 15496])).
% 26.12/17.41 tff(15504,plain,
% 26.12/17.41 (~v90(constB120, bitIndex0)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15503, 15300])).
% 26.12/17.41 tff(15505,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15506,plain,
% 26.12/17.41 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15507,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15506])).
% 26.12/17.41 tff(15508,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15507, 15505])).
% 26.12/17.41 tff(15509,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15510,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15509, 15508])).
% 26.12/17.41 tff(15511,plain,
% 26.12/17.41 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15510, 416, 15391])).
% 26.12/17.41 tff(15512,plain,
% 26.12/17.41 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15511, 15403])).
% 26.12/17.41 tff(15513,plain,
% 26.12/17.41 (~v90(constB121, bitIndex0)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15512, 15504])).
% 26.12/17.41 tff(15514,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15515,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15516,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15515, 15514])).
% 26.12/17.41 tff(15517,plain,
% 26.12/17.41 (v125(constB121)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15516, 2204, 15513, 15451, 15412])).
% 26.12/17.41 tff(15518,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB121) | (~v125(constB121)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v125(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15519,plain,
% 26.12/17.41 (((~v125(constB121)) | v113(constB121)) <=> (v113(constB121) | (~v125(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15520,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB121) | (~v125(constB121))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15519])).
% 26.12/17.41 tff(15521,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v125(constB121)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15520, 15518])).
% 26.12/17.41 tff(15522,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15523,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB121) | (~v125(constB121))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 26.12/17.41 tff(15524,plain,
% 26.12/17.41 (v113(constB121)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15523, 2215, 15517])).
% 26.12/17.41 tff(15525,assumption,(v26(constB121)), introduced(assumption)).
% 26.12/17.41 tff(15526,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15527,plain,
% 26.12/17.41 ($false),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15526, 120, 15525])).
% 26.12/17.41 tff(15528,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 26.12/17.41 tff(15529,assumption,(~v26(constB121)), introduced(assumption)).
% 26.12/17.41 tff(15530,assumption,(v113(constB121)), introduced(assumption)).
% 26.12/17.41 tff(15531,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15532,plain,
% 26.12/17.41 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15533,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15532])).
% 26.12/17.41 tff(15534,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15533, 15531])).
% 26.12/17.41 tff(15535,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15536,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 26.12/17.41 tff(15537,plain,
% 26.12/17.41 (v26(constB121) | v112(constB121)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15536, 532, 15530])).
% 26.12/17.41 tff(15538,plain,
% 26.12/17.41 (v112(constB121)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15537, 15529])).
% 26.12/17.41 tff(15539,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15540,plain,
% 26.12/17.41 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15541,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15540])).
% 26.12/17.41 tff(15542,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15541, 15539])).
% 26.12/17.41 tff(15543,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15544,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 26.12/17.41 tff(15545,plain,
% 26.12/17.41 (v108(constB121)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15544, 544, 15538])).
% 26.12/17.41 tff(15546,plain,
% 26.12/17.41 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15547,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 26.12/17.41 tff(15548,plain,
% 26.12/17.41 (nextState(constB121, constB122)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 26.12/17.41 tff(15549,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15550,plain,
% 26.12/17.41 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15551,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15550])).
% 26.12/17.41 tff(15552,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15551, 15549])).
% 26.12/17.41 tff(15553,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15554,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 26.12/17.41 tff(15555,plain,
% 26.12/17.41 (v110(constB122) | (~v108(constB121))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15554, 564, 15548])).
% 26.12/17.41 tff(15556,plain,
% 26.12/17.41 (v110(constB122)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15555, 15545])).
% 26.12/17.41 tff(15557,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15558,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15559,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 26.12/17.41 tff(15560,plain,
% 26.12/17.41 (~v104(constB122)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15559, 582, 15548, 15388])).
% 26.12/17.41 tff(15561,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15562,plain,
% 26.12/17.41 (((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15563,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15562])).
% 26.12/17.41 tff(15564,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15563, 15561])).
% 26.12/17.41 tff(15565,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15566,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | v102(constB122)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 26.12/17.41 tff(15567,plain,
% 26.12/17.41 (v104(constB122) | v102(constB122)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15566, 596, 15548])).
% 26.12/17.41 tff(15568,plain,
% 26.12/17.41 (v102(constB122)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15567, 15560])).
% 26.12/17.41 tff(15569,plain,
% 26.12/17.41 (v1(constB122) <=> v1(constB122)),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15570,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 26.12/17.41 tff(15571,plain,
% 26.12/17.41 (v1(constB122)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15570, 15569])).
% 26.12/17.41 tff(15572,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15573,plain,
% 26.12/17.41 (((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))) <=> ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15574,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15573])).
% 26.12/17.41 tff(15575,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15574, 15572])).
% 26.12/17.41 tff(15576,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15577,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | (~v1(constB122)) | v101(constB122) | (~v102(constB122))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 26.12/17.41 tff(15578,plain,
% 26.12/17.41 (v101(constB122) | (~v102(constB122))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15577, 617, 15548, 15571])).
% 26.12/17.41 tff(15579,plain,
% 26.12/17.41 (v101(constB122)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15578, 15568])).
% 26.12/17.41 tff(15580,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15581,plain,
% 26.12/17.41 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15582,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15581])).
% 26.12/17.41 tff(15583,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15582, 15580])).
% 26.12/17.41 tff(15584,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15585,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15584, 15583])).
% 26.12/17.41 tff(15586,plain,
% 26.12/17.41 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15585, 635, 15548])).
% 26.12/17.41 tff(15587,plain,
% 26.12/17.41 (v100(constB122) | (~v110(constB122))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15586, 15579])).
% 26.12/17.41 tff(15588,plain,
% 26.12/17.41 (v100(constB122)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15587, 15556])).
% 26.12/17.41 tff(15589,assumption,(~v130(constB121, bitIndex2)), introduced(assumption)).
% 26.12/17.41 tff(15590,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15591,plain,
% 26.12/17.41 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15592,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15591])).
% 26.12/17.41 tff(15593,plain,
% 26.12/17.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15592, 15590])).
% 26.12/17.41 tff(15594,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15595,plain,
% 26.12/17.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 26.12/17.41 tff(15596,plain,
% 26.12/17.41 ((~v127(constB121, bitIndex2)) | v26(constB121)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15595, 665, 15589])).
% 26.12/17.41 tff(15597,plain,
% 26.12/17.41 (~v127(constB121, bitIndex2)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15596, 15529])).
% 26.12/17.41 tff(15598,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15599,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15600,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15599, 15598])).
% 26.12/17.41 tff(15601,plain,
% 26.12/17.41 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15600, 683, 15548])).
% 26.12/17.41 tff(15602,plain,
% 26.12/17.41 (~v129(constB122, bitIndex2)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15601, 15597])).
% 26.12/17.41 tff(15603,plain,
% 26.12/17.41 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15604,plain,
% 26.12/17.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15605,plain,
% 26.12/17.41 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 26.12/17.41 tff(15606,plain,
% 26.12/17.41 ((~v90(constB122, bitIndex2)) | (~v100(constB122))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15605, 698, 15602])).
% 26.12/17.41 tff(15607,plain,
% 26.12/17.41 (~v90(constB122, bitIndex2)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15606, 15588])).
% 26.12/17.41 tff(15608,plain,
% 26.12/17.41 ((~v1(constB123)) <=> (~v1(constB123))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15609,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 26.12/17.41 tff(15610,plain,
% 26.12/17.41 (~v1(constB123)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 26.12/17.41 tff(15611,plain,
% 26.12/17.41 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15612,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 26.12/17.41 tff(15613,plain,
% 26.12/17.41 (nextState(constB122, constB123)),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15612, 15611])).
% 26.12/17.41 tff(15614,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15615,plain,
% 26.12/17.41 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15616,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 26.12/17.41 inference(monotonicity,[status(thm)],[15615])).
% 26.12/17.41 tff(15617,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 26.12/17.41 inference(transitivity,[status(thm)],[15616, 15614])).
% 26.12/17.41 tff(15618,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15619,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 26.12/17.41 tff(15620,plain,
% 26.12/17.41 (~v101(constB123)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15619, 342, 15613, 15610])).
% 26.12/17.41 tff(15621,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 26.12/17.41 inference(rewrite,[status(thm)],[])).
% 26.12/17.41 tff(15622,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 26.12/17.41 inference(quant_inst,[status(thm)],[])).
% 26.12/17.41 tff(15623,plain,
% 26.12/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 26.12/17.41 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 26.12/17.41 tff(15624,plain,
% 26.12/17.41 (v101(constB123) | (~v100(constB123))),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15623, 359, 15613])).
% 26.12/17.41 tff(15625,plain,
% 26.12/17.41 (~v100(constB123)),
% 26.12/17.41 inference(unit_resolution,[status(thm)],[15624, 15620])).
% 26.12/17.41 tff(15626,plain,
% 26.12/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15627,plain,
% 26.12/17.42 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15628,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15627])).
% 26.12/17.42 tff(15629,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15628, 15626])).
% 26.12/17.42 tff(15630,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15631,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 26.12/17.42 tff(15632,plain,
% 26.12/17.42 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15631, 374, 15613])).
% 26.12/17.42 tff(15633,plain,
% 26.12/17.42 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15632, 15625])).
% 26.12/17.42 tff(15634,plain,
% 26.12/17.42 (~v90(constB123, bitIndex2)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15633, 15607])).
% 26.12/17.42 tff(15635,assumption,(v130(constB121, bitIndex0)), introduced(assumption)).
% 26.12/17.42 tff(15636,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15637,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15638,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15637, 15636])).
% 26.12/17.42 tff(15639,plain,
% 26.12/17.42 (v26(constB121) | v127(constB121, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15638, 822, 15635])).
% 26.12/17.42 tff(15640,plain,
% 26.12/17.42 (v127(constB121, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15639, 15529])).
% 26.12/17.42 tff(15641,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15642,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15643,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 26.12/17.42 tff(15644,plain,
% 26.12/17.42 ((~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15643, 837, 15548])).
% 26.12/17.42 tff(15645,plain,
% 26.12/17.42 (v129(constB122, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15644, 15640])).
% 26.12/17.42 tff(15646,plain,
% 26.12/17.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15647,plain,
% 26.12/17.42 ((v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15648,plain,
% 26.12/17.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15647])).
% 26.12/17.42 tff(15649,plain,
% 26.12/17.42 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15648, 15646])).
% 26.12/17.42 tff(15650,plain,
% 26.12/17.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15651,plain,
% 26.12/17.42 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 26.12/17.42 tff(15652,plain,
% 26.12/17.42 (v90(constB122, bitIndex0) | (~v100(constB122))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15651, 852, 15645])).
% 26.12/17.42 tff(15653,plain,
% 26.12/17.42 (v90(constB122, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15652, 15588])).
% 26.12/17.42 tff(15654,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15655,plain,
% 26.12/17.42 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15656,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15655])).
% 26.12/17.42 tff(15657,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15656, 15654])).
% 26.12/17.42 tff(15658,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15659,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15658, 15657])).
% 26.12/17.42 tff(15660,plain,
% 26.12/17.42 ((~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15659, 870, 15613])).
% 26.12/17.42 tff(15661,plain,
% 26.12/17.42 ((~v90(constB122, bitIndex0)) | v90(constB123, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15660, 15625])).
% 26.12/17.42 tff(15662,plain,
% 26.12/17.42 (v90(constB123, bitIndex0)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15661, 15653])).
% 26.12/17.42 tff(15663,assumption,(~v130(constB121, bitIndex1)), introduced(assumption)).
% 26.12/17.42 tff(15664,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15665,plain,
% 26.12/17.42 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15666,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15665])).
% 26.12/17.42 tff(15667,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15666, 15664])).
% 26.12/17.42 tff(15668,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15669,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 26.12/17.42 tff(15670,plain,
% 26.12/17.42 ((~v127(constB121, bitIndex1)) | v26(constB121)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15669, 751, 15663])).
% 26.12/17.42 tff(15671,plain,
% 26.12/17.42 (~v127(constB121, bitIndex1)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15670, 15529])).
% 26.12/17.42 tff(15672,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15673,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15674,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 26.12/17.42 tff(15675,plain,
% 26.12/17.42 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15674, 769, 15548])).
% 26.12/17.42 tff(15676,plain,
% 26.12/17.42 (~v129(constB122, bitIndex1)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15675, 15671])).
% 26.12/17.42 tff(15677,plain,
% 26.12/17.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15678,plain,
% 26.12/17.42 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15679,plain,
% 26.12/17.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15678])).
% 26.12/17.42 tff(15680,plain,
% 26.12/17.42 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15679, 15677])).
% 26.12/17.42 tff(15681,plain,
% 26.12/17.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15682,plain,
% 26.12/17.42 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 26.12/17.42 tff(15683,plain,
% 26.12/17.42 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15682, 784, 15676])).
% 26.12/17.42 tff(15684,plain,
% 26.12/17.42 (~v90(constB122, bitIndex1)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15683, 15588])).
% 26.12/17.42 tff(15685,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15686,plain,
% 26.12/17.42 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15687,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15686])).
% 26.12/17.42 tff(15688,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15687, 15685])).
% 26.12/17.42 tff(15689,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15690,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 26.12/17.42 tff(15691,plain,
% 26.12/17.42 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15690, 395, 15613])).
% 26.12/17.42 tff(15692,plain,
% 26.12/17.42 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15691, 15625])).
% 26.12/17.42 tff(15693,plain,
% 26.12/17.42 (~v90(constB123, bitIndex1)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15692, 15684])).
% 26.12/17.42 tff(15694,assumption,(~v120(constB123)), introduced(assumption)).
% 26.12/17.42 tff(15695,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15696,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15697,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15696, 15695])).
% 26.12/17.42 tff(15698,plain,
% 26.12/17.42 ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15697, 889, 15694])).
% 26.12/17.42 tff(15699,plain,
% 26.12/17.42 ($false),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15698, 15693, 15662, 15634])).
% 26.12/17.42 tff(15700,plain,(v26(constB121) | v120(constB123) | v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)) | (~v113(constB121))), inference(lemma,lemma(discharge,[]))).
% 26.12/17.42 tff(15701,plain,
% 26.12/17.42 (v120(constB123) | v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)) | (~v113(constB121))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15700, 15528])).
% 26.12/17.42 tff(15702,plain,
% 26.12/17.42 (v120(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15701, 15524, 15479, 15475, 15471])).
% 26.12/17.42 tff(15703,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB123)) | v118(constB123))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15704,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15705,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB123)) | v118(constB123)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 26.12/17.42 tff(15706,plain,
% 26.12/17.42 (v118(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15705, 900, 15702])).
% 26.12/17.42 tff(15707,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15708,plain,
% 26.12/17.42 (((~v118(constB123)) | v117(constB123)) <=> (v117(constB123) | (~v118(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15709,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15708])).
% 26.12/17.42 tff(15710,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15709, 15707])).
% 26.12/17.42 tff(15711,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15712,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 26.12/17.42 tff(15713,plain,
% 26.12/17.42 (v117(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15712, 462, 15706])).
% 26.12/17.42 tff(15714,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB123)) | v116(constB123))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15715,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15716,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB123)) | v116(constB123)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 26.12/17.42 tff(15717,plain,
% 26.12/17.42 (v116(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15716, 476, 15713])).
% 26.12/17.42 tff(15718,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15719,plain,
% 26.12/17.42 (((~v116(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v116(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15720,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15719])).
% 26.12/17.42 tff(15721,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15720, 15718])).
% 26.12/17.42 tff(15722,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15723,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 26.12/17.42 tff(15724,plain,
% 26.12/17.42 (v115(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15723, 490, 15717])).
% 26.12/17.42 tff(15725,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15726,plain,
% 26.12/17.42 (((~v115(constB123)) | v114(constB123)) <=> (v114(constB123) | (~v115(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15727,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15726])).
% 26.12/17.42 tff(15728,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15727, 15725])).
% 26.12/17.42 tff(15729,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15730,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15729, 15728])).
% 26.12/17.42 tff(15731,plain,
% 26.12/17.42 (v114(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15730, 504, 15724])).
% 26.12/17.42 tff(15732,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15733,plain,
% 26.12/17.42 (((~v114(constB123)) | v113(constB123)) <=> (v113(constB123) | (~v114(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15734,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15733])).
% 26.12/17.42 tff(15735,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15734, 15732])).
% 26.12/17.42 tff(15736,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15737,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15736, 15735])).
% 26.12/17.42 tff(15738,plain,
% 26.12/17.42 (v113(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15737, 518, 15731])).
% 26.12/17.42 tff(15739,assumption,(v26(constB123)), introduced(assumption)).
% 26.12/17.42 tff(15740,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15741,plain,
% 26.12/17.42 ($false),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15740, 120, 15739])).
% 26.12/17.42 tff(15742,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 26.12/17.42 tff(15743,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15744,plain,
% 26.12/17.42 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15745,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15744])).
% 26.12/17.42 tff(15746,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15745, 15743])).
% 26.12/17.42 tff(15747,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15748,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 26.12/17.42 tff(15749,plain,
% 26.12/17.42 (v112(constB123) | (~v113(constB123))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15748, 532, 15742])).
% 26.12/17.42 tff(15750,plain,
% 26.12/17.42 (v112(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15749, 15738])).
% 26.12/17.42 tff(15751,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15752,plain,
% 26.12/17.42 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15753,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15752])).
% 26.12/17.42 tff(15754,plain,
% 26.12/17.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15753, 15751])).
% 26.12/17.42 tff(15755,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15756,plain,
% 26.12/17.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15755, 15754])).
% 26.12/17.42 tff(15757,plain,
% 26.12/17.42 (v108(constB123)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15756, 544, 15750])).
% 26.12/17.42 tff(15758,plain,
% 26.12/17.42 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15759,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 26.12/17.42 tff(15760,plain,
% 26.12/17.42 (nextState(constB123, constB124)),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 26.12/17.42 tff(15761,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15762,plain,
% 26.12/17.42 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 26.12/17.42 inference(rewrite,[status(thm)],[])).
% 26.12/17.42 tff(15763,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 26.12/17.42 inference(monotonicity,[status(thm)],[15762])).
% 26.12/17.42 tff(15764,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 26.12/17.42 inference(transitivity,[status(thm)],[15763, 15761])).
% 26.12/17.42 tff(15765,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 26.12/17.42 inference(quant_inst,[status(thm)],[])).
% 26.12/17.42 tff(15766,plain,
% 26.12/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 26.12/17.42 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 26.12/17.42 tff(15767,plain,
% 26.12/17.42 (v110(constB124) | (~v108(constB123))),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15766, 564, 15760])).
% 26.12/17.42 tff(15768,plain,
% 26.12/17.42 (v110(constB124)),
% 26.12/17.42 inference(unit_resolution,[status(thm)],[15767, 15757])).
% 26.12/17.42 tff(15769,plain,
% 26.12/17.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15770,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15771,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15770, 15769])).
% 26.12/17.43 tff(15772,plain,
% 26.12/17.43 (~v104(constB124)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15771, 582, 15760, 15610])).
% 26.12/17.43 tff(15773,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15774,plain,
% 26.12/17.43 (((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15775,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15774])).
% 26.12/17.43 tff(15776,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15775, 15773])).
% 26.12/17.43 tff(15777,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15778,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | v102(constB124)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15777, 15776])).
% 26.12/17.43 tff(15779,plain,
% 26.12/17.43 (v104(constB124) | v102(constB124)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15778, 596, 15760])).
% 26.12/17.43 tff(15780,plain,
% 26.12/17.43 (v102(constB124)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15779, 15772])).
% 26.12/17.43 tff(15781,plain,
% 26.12/17.43 (v1(constB124) <=> v1(constB124)),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15782,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 26.12/17.43 tff(15783,plain,
% 26.12/17.43 (v1(constB124)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15782, 15781])).
% 26.12/17.43 tff(15784,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15785,plain,
% 26.12/17.43 (((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))) <=> ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15786,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15785])).
% 26.12/17.43 tff(15787,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124)))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15786, 15784])).
% 26.12/17.43 tff(15788,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15789,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | (~v1(constB124)) | v101(constB124) | (~v102(constB124))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15788, 15787])).
% 26.12/17.43 tff(15790,plain,
% 26.12/17.43 (v101(constB124) | (~v102(constB124))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15789, 617, 15760, 15783])).
% 26.12/17.43 tff(15791,plain,
% 26.12/17.43 (v101(constB124)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15790, 15780])).
% 26.12/17.43 tff(15792,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15793,plain,
% 26.12/17.43 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15794,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15793])).
% 26.12/17.43 tff(15795,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15794, 15792])).
% 26.12/17.43 tff(15796,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15797,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15796, 15795])).
% 26.12/17.43 tff(15798,plain,
% 26.12/17.43 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15797, 635, 15760])).
% 26.12/17.43 tff(15799,plain,
% 26.12/17.43 (v100(constB124) | (~v110(constB124))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15798, 15791])).
% 26.12/17.43 tff(15800,plain,
% 26.12/17.43 (v100(constB124)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15799, 15768])).
% 26.12/17.43 tff(15801,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15802,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15803,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 26.12/17.43 tff(15804,plain,
% 26.12/17.43 (~v130(constB123, bitIndex2)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15803, 1005, 15702])).
% 26.12/17.43 tff(15805,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15806,plain,
% 26.12/17.43 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15807,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15806])).
% 26.12/17.43 tff(15808,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15807, 15805])).
% 26.12/17.43 tff(15809,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15810,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 26.12/17.43 tff(15811,plain,
% 26.12/17.43 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15810, 665, 15742])).
% 26.12/17.43 tff(15812,plain,
% 26.12/17.43 (~v127(constB123, bitIndex2)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15811, 15804])).
% 26.12/17.43 tff(15813,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15814,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15815,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 26.12/17.43 tff(15816,plain,
% 26.12/17.43 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15815, 683, 15760])).
% 26.12/17.43 tff(15817,plain,
% 26.12/17.43 (~v129(constB124, bitIndex2)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15816, 15812])).
% 26.12/17.43 tff(15818,plain,
% 26.12/17.43 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15819,plain,
% 26.12/17.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15820,plain,
% 26.12/17.43 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 26.12/17.43 tff(15821,plain,
% 26.12/17.43 ((~v90(constB124, bitIndex2)) | (~v100(constB124))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15820, 698, 15817])).
% 26.12/17.43 tff(15822,plain,
% 26.12/17.43 (~v90(constB124, bitIndex2)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15821, 15800])).
% 26.12/17.43 tff(15823,plain,
% 26.12/17.43 ((~v1(constB125)) <=> (~v1(constB125))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15824,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 26.12/17.43 tff(15825,plain,
% 26.12/17.43 (~v1(constB125)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 26.12/17.43 tff(15826,plain,
% 26.12/17.43 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15827,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 26.12/17.43 tff(15828,plain,
% 26.12/17.43 (nextState(constB124, constB125)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 26.12/17.43 tff(15829,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15830,plain,
% 26.12/17.43 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15831,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15830])).
% 26.12/17.43 tff(15832,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15831, 15829])).
% 26.12/17.43 tff(15833,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15834,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15833, 15832])).
% 26.12/17.43 tff(15835,plain,
% 26.12/17.43 (~v101(constB125)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15834, 342, 15828, 15825])).
% 26.12/17.43 tff(15836,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15837,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15838,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15837, 15836])).
% 26.12/17.43 tff(15839,plain,
% 26.12/17.43 (v101(constB125) | (~v100(constB125))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15838, 359, 15828])).
% 26.12/17.43 tff(15840,plain,
% 26.12/17.43 (~v100(constB125)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15839, 15835])).
% 26.12/17.43 tff(15841,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15842,plain,
% 26.12/17.43 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15843,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15842])).
% 26.12/17.43 tff(15844,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15843, 15841])).
% 26.12/17.43 tff(15845,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15846,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15845, 15844])).
% 26.12/17.43 tff(15847,plain,
% 26.12/17.43 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15846, 374, 15828])).
% 26.12/17.43 tff(15848,plain,
% 26.12/17.43 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15847, 15840])).
% 26.12/17.43 tff(15849,plain,
% 26.12/17.43 (~v90(constB125, bitIndex2)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15848, 15822])).
% 26.12/17.43 tff(15850,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15851,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15852,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 26.12/17.43 tff(15853,plain,
% 26.12/17.43 (v130(constB123, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15852, 1061, 15702])).
% 26.12/17.43 tff(15854,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15855,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15856,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 26.12/17.43 tff(15857,plain,
% 26.12/17.43 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15856, 1075, 15742])).
% 26.12/17.43 tff(15858,plain,
% 26.12/17.43 (v127(constB123, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15857, 15853])).
% 26.12/17.43 tff(15859,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15860,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15861,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 26.12/17.43 tff(15862,plain,
% 26.12/17.43 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15861, 1090, 15760])).
% 26.12/17.43 tff(15863,plain,
% 26.12/17.43 (v129(constB124, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15862, 15858])).
% 26.12/17.43 tff(15864,plain,
% 26.12/17.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15865,plain,
% 26.12/17.43 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15866,plain,
% 26.12/17.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15865])).
% 26.12/17.43 tff(15867,plain,
% 26.12/17.43 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15866, 15864])).
% 26.12/17.43 tff(15868,plain,
% 26.12/17.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15869,plain,
% 26.12/17.43 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 26.12/17.43 tff(15870,plain,
% 26.12/17.43 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15869, 1105, 15863])).
% 26.12/17.43 tff(15871,plain,
% 26.12/17.43 (v90(constB124, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15870, 15800])).
% 26.12/17.43 tff(15872,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15873,plain,
% 26.12/17.43 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15874,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 26.12/17.43 inference(monotonicity,[status(thm)],[15873])).
% 26.12/17.43 tff(15875,plain,
% 26.12/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 26.12/17.43 inference(transitivity,[status(thm)],[15874, 15872])).
% 26.12/17.43 tff(15876,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15877,plain,
% 26.12/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15876, 15875])).
% 26.12/17.43 tff(15878,plain,
% 26.12/17.43 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15877, 1123, 15828])).
% 26.12/17.43 tff(15879,plain,
% 26.12/17.43 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15878, 15840])).
% 26.12/17.43 tff(15880,plain,
% 26.12/17.43 (v90(constB125, bitIndex1)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15879, 15871])).
% 26.12/17.43 tff(15881,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 26.12/17.43 inference(rewrite,[status(thm)],[])).
% 26.12/17.43 tff(15882,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 26.12/17.43 inference(quant_inst,[status(thm)],[])).
% 26.12/17.43 tff(15883,plain,
% 26.12/17.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 26.12/17.43 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 26.12/17.43 tff(15884,plain,
% 26.12/17.43 (~v130(constB123, bitIndex0)),
% 26.12/17.43 inference(unit_resolution,[status(thm)],[15883, 1139, 15702])).
% 26.12/17.43 tff(15885,plain,
% 26.12/17.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15886,plain,
% 26.12/17.44 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15887,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15886])).
% 26.12/17.44 tff(15888,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15887, 15885])).
% 26.12/17.44 tff(15889,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15890,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15889, 15888])).
% 26.12/17.44 tff(15891,plain,
% 26.12/17.44 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15890, 1153, 15742])).
% 26.12/17.44 tff(15892,plain,
% 26.12/17.44 (~v127(constB123, bitIndex0)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15891, 15884])).
% 26.12/17.44 tff(15893,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15894,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15895,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 26.12/17.44 tff(15896,plain,
% 26.12/17.44 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15895, 1171, 15760])).
% 26.12/17.44 tff(15897,plain,
% 26.12/17.44 (~v129(constB124, bitIndex0)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15896, 15892])).
% 26.12/17.44 tff(15898,plain,
% 26.12/17.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15899,plain,
% 26.12/17.44 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15900,plain,
% 26.12/17.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15899])).
% 26.12/17.44 tff(15901,plain,
% 26.12/17.44 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15900, 15898])).
% 26.12/17.44 tff(15902,plain,
% 26.12/17.44 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15903,plain,
% 26.12/17.44 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 26.12/17.44 tff(15904,plain,
% 26.12/17.44 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15903, 1186, 15897])).
% 26.12/17.44 tff(15905,plain,
% 26.12/17.44 (~v90(constB124, bitIndex0)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15904, 15800])).
% 26.12/17.44 tff(15906,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15907,plain,
% 26.12/17.44 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15908,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15907])).
% 26.12/17.44 tff(15909,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15908, 15906])).
% 26.12/17.44 tff(15910,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15911,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15910, 15909])).
% 26.12/17.44 tff(15912,plain,
% 26.12/17.44 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15911, 416, 15828])).
% 26.12/17.44 tff(15913,plain,
% 26.12/17.44 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15912, 15840])).
% 26.12/17.44 tff(15914,plain,
% 26.12/17.44 (~v90(constB125, bitIndex0)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15913, 15905])).
% 26.12/17.44 tff(15915,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15916,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15917,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 26.12/17.44 tff(15918,plain,
% 26.12/17.44 (v121(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15917, 1213, 15914, 15880, 15849])).
% 26.12/17.44 tff(15919,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB125)) | v117(constB125))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15920,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15921,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB125)) | v117(constB125)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 26.12/17.44 tff(15922,plain,
% 26.12/17.44 (v117(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15921, 1224, 15918])).
% 26.12/17.44 tff(15923,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB125)) | v116(constB125))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15924,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15925,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB125)) | v116(constB125)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 26.12/17.44 tff(15926,plain,
% 26.12/17.44 (v116(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15925, 476, 15922])).
% 26.12/17.44 tff(15927,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15928,plain,
% 26.12/17.44 (((~v116(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v116(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15929,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15928])).
% 26.12/17.44 tff(15930,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15929, 15927])).
% 26.12/17.44 tff(15931,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15932,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 26.12/17.44 tff(15933,plain,
% 26.12/17.44 (v115(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15932, 490, 15926])).
% 26.12/17.44 tff(15934,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15935,plain,
% 26.12/17.44 (((~v115(constB125)) | v114(constB125)) <=> (v114(constB125) | (~v115(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15936,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15935])).
% 26.12/17.44 tff(15937,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15936, 15934])).
% 26.12/17.44 tff(15938,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15939,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 26.12/17.44 tff(15940,plain,
% 26.12/17.44 (v114(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15939, 504, 15933])).
% 26.12/17.44 tff(15941,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15942,plain,
% 26.12/17.44 (((~v114(constB125)) | v113(constB125)) <=> (v113(constB125) | (~v114(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15943,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15942])).
% 26.12/17.44 tff(15944,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15943, 15941])).
% 26.12/17.44 tff(15945,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15946,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 26.12/17.44 tff(15947,plain,
% 26.12/17.44 (v113(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15946, 518, 15940])).
% 26.12/17.44 tff(15948,assumption,(v26(constB125)), introduced(assumption)).
% 26.12/17.44 tff(15949,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15950,plain,
% 26.12/17.44 ($false),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15949, 120, 15948])).
% 26.12/17.44 tff(15951,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 26.12/17.44 tff(15952,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15953,plain,
% 26.12/17.44 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15954,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15953])).
% 26.12/17.44 tff(15955,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15954, 15952])).
% 26.12/17.44 tff(15956,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15957,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 26.12/17.44 tff(15958,plain,
% 26.12/17.44 (v112(constB125) | (~v113(constB125))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15957, 532, 15951])).
% 26.12/17.44 tff(15959,plain,
% 26.12/17.44 (v112(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15958, 15947])).
% 26.12/17.44 tff(15960,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15961,plain,
% 26.12/17.44 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15962,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15961])).
% 26.12/17.44 tff(15963,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15962, 15960])).
% 26.12/17.44 tff(15964,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15965,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 26.12/17.44 tff(15966,plain,
% 26.12/17.44 (v108(constB125)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15965, 544, 15959])).
% 26.12/17.44 tff(15967,plain,
% 26.12/17.44 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15968,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 26.12/17.44 tff(15969,plain,
% 26.12/17.44 (nextState(constB125, constB126)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15968, 15967])).
% 26.12/17.44 tff(15970,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15971,plain,
% 26.12/17.44 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15972,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15971])).
% 26.12/17.44 tff(15973,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15972, 15970])).
% 26.12/17.44 tff(15974,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15975,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 26.12/17.44 tff(15976,plain,
% 26.12/17.44 (v110(constB126) | (~v108(constB125))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15975, 564, 15969])).
% 26.12/17.44 tff(15977,plain,
% 26.12/17.44 (v110(constB126)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15976, 15966])).
% 26.12/17.44 tff(15978,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15979,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15980,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15979, 15978])).
% 26.12/17.44 tff(15981,plain,
% 26.12/17.44 (~v104(constB126)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15980, 582, 15969, 15825])).
% 26.12/17.44 tff(15982,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15983,plain,
% 26.12/17.44 (((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15984,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15983])).
% 26.12/17.44 tff(15985,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15984, 15982])).
% 26.12/17.44 tff(15986,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15987,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | v102(constB126)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15986, 15985])).
% 26.12/17.44 tff(15988,plain,
% 26.12/17.44 (v104(constB126) | v102(constB126)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15987, 596, 15969])).
% 26.12/17.44 tff(15989,plain,
% 26.12/17.44 (v102(constB126)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15988, 15981])).
% 26.12/17.44 tff(15990,plain,
% 26.12/17.44 (v1(constB126) <=> v1(constB126)),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15991,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 26.12/17.44 tff(15992,plain,
% 26.12/17.44 (v1(constB126)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 26.12/17.44 tff(15993,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15994,plain,
% 26.12/17.44 (((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))) <=> ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(15995,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[15994])).
% 26.12/17.44 tff(15996,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[15995, 15993])).
% 26.12/17.44 tff(15997,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(15998,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | (~v1(constB126)) | v101(constB126) | (~v102(constB126))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 26.12/17.44 tff(15999,plain,
% 26.12/17.44 (v101(constB126) | (~v102(constB126))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15998, 617, 15969, 15992])).
% 26.12/17.44 tff(16000,plain,
% 26.12/17.44 (v101(constB126)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[15999, 15989])).
% 26.12/17.44 tff(16001,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(16002,plain,
% 26.12/17.44 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(16003,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[16002])).
% 26.12/17.44 tff(16004,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 26.12/17.44 inference(transitivity,[status(thm)],[16003, 16001])).
% 26.12/17.44 tff(16005,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(16006,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 26.12/17.44 tff(16007,plain,
% 26.12/17.44 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16006, 635, 15969])).
% 26.12/17.44 tff(16008,plain,
% 26.12/17.44 (v100(constB126) | (~v110(constB126))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16007, 16000])).
% 26.12/17.44 tff(16009,plain,
% 26.12/17.44 (v100(constB126)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16008, 15977])).
% 26.12/17.44 tff(16010,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(16011,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(16012,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 26.12/17.44 tff(16013,plain,
% 26.12/17.44 (~v130(constB125, bitIndex2)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16012, 1325, 15918])).
% 26.12/17.44 tff(16014,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(16015,plain,
% 26.12/17.44 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(16016,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 26.12/17.44 inference(monotonicity,[status(thm)],[16015])).
% 26.12/17.44 tff(16017,plain,
% 26.12/17.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 26.12/17.44 inference(transitivity,[status(thm)],[16016, 16014])).
% 26.12/17.44 tff(16018,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(16019,plain,
% 26.12/17.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 26.12/17.44 tff(16020,plain,
% 26.12/17.44 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16019, 665, 15951])).
% 26.12/17.44 tff(16021,plain,
% 26.12/17.44 (~v127(constB125, bitIndex2)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16020, 16013])).
% 26.12/17.44 tff(16022,plain,
% 26.12/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 26.12/17.44 inference(rewrite,[status(thm)],[])).
% 26.12/17.44 tff(16023,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 26.12/17.44 inference(quant_inst,[status(thm)],[])).
% 26.12/17.44 tff(16024,plain,
% 26.12/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 26.12/17.44 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 26.12/17.44 tff(16025,plain,
% 26.12/17.44 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16024, 683, 15969])).
% 26.12/17.44 tff(16026,plain,
% 26.12/17.44 (~v129(constB126, bitIndex2)),
% 26.12/17.44 inference(unit_resolution,[status(thm)],[16025, 16021])).
% 26.12/17.45 tff(16027,plain,
% 26.12/17.45 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16028,plain,
% 26.12/17.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16029,plain,
% 26.12/17.45 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16028, 16027])).
% 26.12/17.45 tff(16030,plain,
% 26.12/17.45 ((~v90(constB126, bitIndex2)) | (~v100(constB126))),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16029, 698, 16026])).
% 26.12/17.45 tff(16031,plain,
% 26.12/17.45 (~v90(constB126, bitIndex2)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16030, 16009])).
% 26.12/17.45 tff(16032,plain,
% 26.12/17.45 ((~v1(constB127)) <=> (~v1(constB127))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16033,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 26.12/17.45 tff(16034,plain,
% 26.12/17.45 (~v1(constB127)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16033, 16032])).
% 26.12/17.45 tff(16035,plain,
% 26.12/17.45 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16036,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 26.12/17.45 tff(16037,plain,
% 26.12/17.45 (nextState(constB126, constB127)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 26.12/17.45 tff(16038,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16039,plain,
% 26.12/17.45 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16040,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16039])).
% 26.12/17.45 tff(16041,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16040, 16038])).
% 26.12/17.45 tff(16042,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16043,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 26.12/17.45 tff(16044,plain,
% 26.12/17.45 (~v101(constB127)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16043, 342, 16037, 16034])).
% 26.12/17.45 tff(16045,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16046,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16047,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 26.12/17.45 tff(16048,plain,
% 26.12/17.45 (v101(constB127) | (~v100(constB127))),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16047, 359, 16037])).
% 26.12/17.45 tff(16049,plain,
% 26.12/17.45 (~v100(constB127)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16048, 16044])).
% 26.12/17.45 tff(16050,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16051,plain,
% 26.12/17.45 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16052,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16051])).
% 26.12/17.45 tff(16053,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16052, 16050])).
% 26.12/17.45 tff(16054,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16055,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16054, 16053])).
% 26.12/17.45 tff(16056,plain,
% 26.12/17.45 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16055, 374, 16037])).
% 26.12/17.45 tff(16057,plain,
% 26.12/17.45 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16056, 16049])).
% 26.12/17.45 tff(16058,plain,
% 26.12/17.45 (~v90(constB127, bitIndex2)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16057, 16031])).
% 26.12/17.45 tff(16059,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16060,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16061,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 26.12/17.45 tff(16062,plain,
% 26.12/17.45 (v130(constB125, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16061, 1375, 15918])).
% 26.12/17.45 tff(16063,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16064,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16065,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16064, 16063])).
% 26.12/17.45 tff(16066,plain,
% 26.12/17.45 ((~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16065, 1075, 15951])).
% 26.12/17.45 tff(16067,plain,
% 26.12/17.45 (v127(constB125, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16066, 16062])).
% 26.12/17.45 tff(16068,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16069,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16070,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 26.12/17.45 tff(16071,plain,
% 26.12/17.45 ((~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16070, 1090, 15969])).
% 26.12/17.45 tff(16072,plain,
% 26.12/17.45 (v129(constB126, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16071, 16067])).
% 26.12/17.45 tff(16073,plain,
% 26.12/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16074,plain,
% 26.12/17.45 ((v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16075,plain,
% 26.12/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16074])).
% 26.12/17.45 tff(16076,plain,
% 26.12/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16075, 16073])).
% 26.12/17.45 tff(16077,plain,
% 26.12/17.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16078,plain,
% 26.12/17.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 26.12/17.45 tff(16079,plain,
% 26.12/17.45 (v90(constB126, bitIndex1) | (~v100(constB126))),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16078, 1105, 16072])).
% 26.12/17.45 tff(16080,plain,
% 26.12/17.45 (v90(constB126, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16079, 16009])).
% 26.12/17.45 tff(16081,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16082,plain,
% 26.12/17.45 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16083,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16082])).
% 26.12/17.45 tff(16084,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16083, 16081])).
% 26.12/17.45 tff(16085,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16086,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 26.12/17.45 tff(16087,plain,
% 26.12/17.45 ((~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16086, 1123, 16037])).
% 26.12/17.45 tff(16088,plain,
% 26.12/17.45 ((~v90(constB126, bitIndex1)) | v90(constB127, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16087, 16049])).
% 26.12/17.45 tff(16089,plain,
% 26.12/17.45 (v90(constB127, bitIndex1)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16088, 16080])).
% 26.12/17.45 tff(16090,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16091,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16092,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16091, 16090])).
% 26.12/17.45 tff(16093,plain,
% 26.12/17.45 (v130(constB125, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16092, 1413, 15918])).
% 26.12/17.45 tff(16094,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16095,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16096,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16095, 16094])).
% 26.12/17.45 tff(16097,plain,
% 26.12/17.45 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16096, 822, 15951])).
% 26.12/17.45 tff(16098,plain,
% 26.12/17.45 (v127(constB125, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16097, 16093])).
% 26.12/17.45 tff(16099,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16100,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16101,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 26.12/17.45 tff(16102,plain,
% 26.12/17.45 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16101, 837, 15969])).
% 26.12/17.45 tff(16103,plain,
% 26.12/17.45 (v129(constB126, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16102, 16098])).
% 26.12/17.45 tff(16104,plain,
% 26.12/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16105,plain,
% 26.12/17.45 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16106,plain,
% 26.12/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16105])).
% 26.12/17.45 tff(16107,plain,
% 26.12/17.45 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16106, 16104])).
% 26.12/17.45 tff(16108,plain,
% 26.12/17.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16109,plain,
% 26.12/17.45 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 26.12/17.45 tff(16110,plain,
% 26.12/17.45 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16109, 852, 16103])).
% 26.12/17.45 tff(16111,plain,
% 26.12/17.45 (v90(constB126, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16110, 16009])).
% 26.12/17.45 tff(16112,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16113,plain,
% 26.12/17.45 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16114,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16113])).
% 26.12/17.45 tff(16115,plain,
% 26.12/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16114, 16112])).
% 26.12/17.45 tff(16116,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16117,plain,
% 26.12/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16116, 16115])).
% 26.12/17.45 tff(16118,plain,
% 26.12/17.45 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16117, 870, 16037])).
% 26.12/17.45 tff(16119,plain,
% 26.12/17.45 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16118, 16049])).
% 26.12/17.45 tff(16120,plain,
% 26.12/17.45 (v90(constB127, bitIndex0)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16119, 16111])).
% 26.12/17.45 tff(16121,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16122,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16123,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 26.12/17.45 tff(16124,plain,
% 26.12/17.45 (v122(constB127)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16123, 1454, 16120, 16089, 16058])).
% 26.12/17.45 tff(16125,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16126,plain,
% 26.12/17.45 (((~v122(constB127)) | v116(constB127)) <=> (v116(constB127) | (~v122(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16127,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v122(constB127))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16126])).
% 26.12/17.45 tff(16128,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127)))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16127, 16125])).
% 26.12/17.45 tff(16129,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16130,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16129, 16128])).
% 26.12/17.45 tff(16131,plain,
% 26.12/17.45 (v116(constB127)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16130, 1465, 16124])).
% 26.12/17.45 tff(16132,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB127)) | v115(constB127))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16133,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16134,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB127)) | v115(constB127)),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16133, 16132])).
% 26.12/17.45 tff(16135,plain,
% 26.12/17.45 (v115(constB127)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16134, 490, 16131])).
% 26.12/17.45 tff(16136,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16137,plain,
% 26.12/17.45 (((~v115(constB127)) | v114(constB127)) <=> (v114(constB127) | (~v115(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16138,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB127) | (~v115(constB127))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16137])).
% 26.12/17.45 tff(16139,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127)))),
% 26.12/17.45 inference(transitivity,[status(thm)],[16138, 16136])).
% 26.12/17.45 tff(16140,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 26.12/17.45 inference(quant_inst,[status(thm)],[])).
% 26.12/17.45 tff(16141,plain,
% 26.12/17.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127))),
% 26.12/17.45 inference(modus_ponens,[status(thm)],[16140, 16139])).
% 26.12/17.45 tff(16142,plain,
% 26.12/17.45 (v114(constB127)),
% 26.12/17.45 inference(unit_resolution,[status(thm)],[16141, 504, 16135])).
% 26.12/17.45 tff(16143,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16144,plain,
% 26.12/17.45 (((~v114(constB127)) | v113(constB127)) <=> (v113(constB127) | (~v114(constB127)))),
% 26.12/17.45 inference(rewrite,[status(thm)],[])).
% 26.12/17.45 tff(16145,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127))))),
% 26.12/17.45 inference(monotonicity,[status(thm)],[16144])).
% 26.12/17.45 tff(16146,plain,
% 26.12/17.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16145, 16143])).
% 26.19/17.46 tff(16147,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16148,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 26.19/17.46 tff(16149,plain,
% 26.19/17.46 (v113(constB127)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16148, 518, 16142])).
% 26.19/17.46 tff(16150,assumption,(v26(constB127)), introduced(assumption)).
% 26.19/17.46 tff(16151,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16152,plain,
% 26.19/17.46 ($false),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16151, 120, 16150])).
% 26.19/17.46 tff(16153,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.46 tff(16154,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16155,plain,
% 26.19/17.46 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16156,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16155])).
% 26.19/17.46 tff(16157,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16156, 16154])).
% 26.19/17.46 tff(16158,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16159,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 26.19/17.46 tff(16160,plain,
% 26.19/17.46 (v112(constB127) | (~v113(constB127))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16159, 532, 16153])).
% 26.19/17.46 tff(16161,plain,
% 26.19/17.46 (v112(constB127)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16160, 16149])).
% 26.19/17.46 tff(16162,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16163,plain,
% 26.19/17.46 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16164,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16163])).
% 26.19/17.46 tff(16165,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16164, 16162])).
% 26.19/17.46 tff(16166,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16167,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 26.19/17.46 tff(16168,plain,
% 26.19/17.46 (v108(constB127)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16167, 544, 16161])).
% 26.19/17.46 tff(16169,plain,
% 26.19/17.46 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16170,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 26.19/17.46 tff(16171,plain,
% 26.19/17.46 (nextState(constB127, constB128)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 26.19/17.46 tff(16172,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16173,plain,
% 26.19/17.46 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16174,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16173])).
% 26.19/17.46 tff(16175,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16174, 16172])).
% 26.19/17.46 tff(16176,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16177,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 26.19/17.46 tff(16178,plain,
% 26.19/17.46 (v110(constB128) | (~v108(constB127))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16177, 564, 16171])).
% 26.19/17.46 tff(16179,plain,
% 26.19/17.46 (v110(constB128)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16178, 16168])).
% 26.19/17.46 tff(16180,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16181,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16182,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 26.19/17.46 tff(16183,plain,
% 26.19/17.46 (~v104(constB128)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16182, 582, 16171, 16034])).
% 26.19/17.46 tff(16184,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16185,plain,
% 26.19/17.46 (((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16186,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16185])).
% 26.19/17.46 tff(16187,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16186, 16184])).
% 26.19/17.46 tff(16188,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16189,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | v102(constB128)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 26.19/17.46 tff(16190,plain,
% 26.19/17.46 (v104(constB128) | v102(constB128)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16189, 596, 16171])).
% 26.19/17.46 tff(16191,plain,
% 26.19/17.46 (v102(constB128)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16190, 16183])).
% 26.19/17.46 tff(16192,plain,
% 26.19/17.46 (v1(constB128) <=> v1(constB128)),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16193,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 26.19/17.46 tff(16194,plain,
% 26.19/17.46 (v1(constB128)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 26.19/17.46 tff(16195,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16196,plain,
% 26.19/17.46 (((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))) <=> ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16197,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16196])).
% 26.19/17.46 tff(16198,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16197, 16195])).
% 26.19/17.46 tff(16199,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16200,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | (~v1(constB128)) | v101(constB128) | (~v102(constB128))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16199, 16198])).
% 26.19/17.46 tff(16201,plain,
% 26.19/17.46 (v101(constB128) | (~v102(constB128))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16200, 617, 16171, 16194])).
% 26.19/17.46 tff(16202,plain,
% 26.19/17.46 (v101(constB128)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16201, 16191])).
% 26.19/17.46 tff(16203,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16204,plain,
% 26.19/17.46 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16205,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16204])).
% 26.19/17.46 tff(16206,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16205, 16203])).
% 26.19/17.46 tff(16207,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16208,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16207, 16206])).
% 26.19/17.46 tff(16209,plain,
% 26.19/17.46 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16208, 635, 16171])).
% 26.19/17.46 tff(16210,plain,
% 26.19/17.46 (v100(constB128) | (~v110(constB128))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16209, 16202])).
% 26.19/17.46 tff(16211,plain,
% 26.19/17.46 (v100(constB128)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16210, 16179])).
% 26.19/17.46 tff(16212,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16213,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16214,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 26.19/17.46 tff(16215,plain,
% 26.19/17.46 (v130(constB127, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16214, 1546, 16124])).
% 26.19/17.46 tff(16216,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16217,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16218,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16217, 16216])).
% 26.19/17.46 tff(16219,plain,
% 26.19/17.46 ((~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16218, 1560, 16153])).
% 26.19/17.46 tff(16220,plain,
% 26.19/17.46 (v127(constB127, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16219, 16215])).
% 26.19/17.46 tff(16221,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16222,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16223,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 26.19/17.46 tff(16224,plain,
% 26.19/17.46 ((~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16223, 1575, 16171])).
% 26.19/17.46 tff(16225,plain,
% 26.19/17.46 (v129(constB128, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16224, 16220])).
% 26.19/17.46 tff(16226,plain,
% 26.19/17.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16227,plain,
% 26.19/17.46 ((v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16228,plain,
% 26.19/17.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16227])).
% 26.19/17.46 tff(16229,plain,
% 26.19/17.46 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16228, 16226])).
% 26.19/17.46 tff(16230,plain,
% 26.19/17.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16231,plain,
% 26.19/17.46 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 26.19/17.46 tff(16232,plain,
% 26.19/17.46 (v90(constB128, bitIndex2) | (~v100(constB128))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16231, 1590, 16225])).
% 26.19/17.46 tff(16233,plain,
% 26.19/17.46 (v90(constB128, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16232, 16211])).
% 26.19/17.46 tff(16234,plain,
% 26.19/17.46 ((~v1(constB129)) <=> (~v1(constB129))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16235,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 26.19/17.46 tff(16236,plain,
% 26.19/17.46 (~v1(constB129)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16235, 16234])).
% 26.19/17.46 tff(16237,plain,
% 26.19/17.46 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16238,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 26.19/17.46 tff(16239,plain,
% 26.19/17.46 (nextState(constB128, constB129)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16238, 16237])).
% 26.19/17.46 tff(16240,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16241,plain,
% 26.19/17.46 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16242,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16241])).
% 26.19/17.46 tff(16243,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16242, 16240])).
% 26.19/17.46 tff(16244,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16245,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16244, 16243])).
% 26.19/17.46 tff(16246,plain,
% 26.19/17.46 (~v101(constB129)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16245, 342, 16239, 16236])).
% 26.19/17.46 tff(16247,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16248,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16249,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 26.19/17.46 tff(16250,plain,
% 26.19/17.46 (v101(constB129) | (~v100(constB129))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16249, 359, 16239])).
% 26.19/17.46 tff(16251,plain,
% 26.19/17.46 (~v100(constB129)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16250, 16246])).
% 26.19/17.46 tff(16252,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16253,plain,
% 26.19/17.46 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16254,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16253])).
% 26.19/17.46 tff(16255,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16254, 16252])).
% 26.19/17.46 tff(16256,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16257,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16256, 16255])).
% 26.19/17.46 tff(16258,plain,
% 26.19/17.46 ((~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16257, 1626, 16239])).
% 26.19/17.46 tff(16259,plain,
% 26.19/17.46 ((~v90(constB128, bitIndex2)) | v90(constB129, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16258, 16251])).
% 26.19/17.46 tff(16260,plain,
% 26.19/17.46 (v90(constB129, bitIndex2)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16259, 16233])).
% 26.19/17.46 tff(16261,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16262,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16263,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 26.19/17.46 tff(16264,plain,
% 26.19/17.46 (~v130(constB127, bitIndex1)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16263, 1642, 16124])).
% 26.19/17.46 tff(16265,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16266,plain,
% 26.19/17.46 ((v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1))) <=> ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16267,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16266])).
% 26.19/17.46 tff(16268,plain,
% 26.19/17.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16267, 16265])).
% 26.19/17.46 tff(16269,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16270,plain,
% 26.19/17.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16269, 16268])).
% 26.19/17.46 tff(16271,plain,
% 26.19/17.46 ((~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16270, 751, 16153])).
% 26.19/17.46 tff(16272,plain,
% 26.19/17.46 (~v127(constB127, bitIndex1)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16271, 16264])).
% 26.19/17.46 tff(16273,plain,
% 26.19/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16274,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16275,plain,
% 26.19/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16274, 16273])).
% 26.19/17.46 tff(16276,plain,
% 26.19/17.46 (v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16275, 769, 16171])).
% 26.19/17.46 tff(16277,plain,
% 26.19/17.46 (~v129(constB128, bitIndex1)),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16276, 16272])).
% 26.19/17.46 tff(16278,plain,
% 26.19/17.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16279,plain,
% 26.19/17.46 (((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 26.19/17.46 inference(rewrite,[status(thm)],[])).
% 26.19/17.46 tff(16280,plain,
% 26.19/17.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))))),
% 26.19/17.46 inference(monotonicity,[status(thm)],[16279])).
% 26.19/17.46 tff(16281,plain,
% 26.19/17.46 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 26.19/17.46 inference(transitivity,[status(thm)],[16280, 16278])).
% 26.19/17.46 tff(16282,plain,
% 26.19/17.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))),
% 26.19/17.46 inference(quant_inst,[status(thm)],[])).
% 26.19/17.46 tff(16283,plain,
% 26.19/17.46 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))),
% 26.19/17.46 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 26.19/17.46 tff(16284,plain,
% 26.19/17.46 ((~v90(constB128, bitIndex1)) | (~v100(constB128))),
% 26.19/17.46 inference(unit_resolution,[status(thm)],[16283, 784, 16277])).
% 26.19/17.46 tff(16285,plain,
% 26.19/17.47 (~v90(constB128, bitIndex1)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16284, 16211])).
% 26.19/17.47 tff(16286,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16287,plain,
% 26.19/17.47 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16288,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))))),
% 26.19/17.47 inference(monotonicity,[status(thm)],[16287])).
% 26.19/17.47 tff(16289,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 26.19/17.47 inference(transitivity,[status(thm)],[16288, 16286])).
% 26.19/17.47 tff(16290,plain,
% 26.19/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16291,plain,
% 26.19/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 26.19/17.47 tff(16292,plain,
% 26.19/17.47 (v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16291, 395, 16239])).
% 26.19/17.47 tff(16293,plain,
% 26.19/17.47 (v90(constB128, bitIndex1) | (~v90(constB129, bitIndex1))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16292, 16251])).
% 26.19/17.47 tff(16294,plain,
% 26.19/17.47 (~v90(constB129, bitIndex1)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16293, 16285])).
% 26.19/17.47 tff(16295,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16296,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16297,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16296, 16295])).
% 26.19/17.47 tff(16298,plain,
% 26.19/17.47 (~v130(constB127, bitIndex0)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16297, 1683, 16124])).
% 26.19/17.47 tff(16299,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16300,plain,
% 26.19/17.47 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16301,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 26.19/17.47 inference(monotonicity,[status(thm)],[16300])).
% 26.19/17.47 tff(16302,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 26.19/17.47 inference(transitivity,[status(thm)],[16301, 16299])).
% 26.19/17.47 tff(16303,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16304,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16303, 16302])).
% 26.19/17.47 tff(16305,plain,
% 26.19/17.47 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16304, 1153, 16153])).
% 26.19/17.47 tff(16306,plain,
% 26.19/17.47 (~v127(constB127, bitIndex0)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16305, 16298])).
% 26.19/17.47 tff(16307,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16308,plain,
% 26.19/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16309,plain,
% 26.19/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16308, 16307])).
% 26.19/17.47 tff(16310,plain,
% 26.19/17.47 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16309, 1171, 16171])).
% 26.19/17.47 tff(16311,plain,
% 26.19/17.47 (~v129(constB128, bitIndex0)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16310, 16306])).
% 26.19/17.47 tff(16312,plain,
% 26.19/17.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16313,plain,
% 26.19/17.47 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16314,plain,
% 26.19/17.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 26.19/17.47 inference(monotonicity,[status(thm)],[16313])).
% 26.19/17.47 tff(16315,plain,
% 26.19/17.47 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 26.19/17.47 inference(transitivity,[status(thm)],[16314, 16312])).
% 26.19/17.47 tff(16316,plain,
% 26.19/17.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16317,plain,
% 26.19/17.47 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16316, 16315])).
% 26.19/17.47 tff(16318,plain,
% 26.19/17.47 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16317, 1186, 16311])).
% 26.19/17.47 tff(16319,plain,
% 26.19/17.47 (~v90(constB128, bitIndex0)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16318, 16211])).
% 26.19/17.47 tff(16320,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16321,plain,
% 26.19/17.47 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16322,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 26.19/17.47 inference(monotonicity,[status(thm)],[16321])).
% 26.19/17.47 tff(16323,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 26.19/17.47 inference(transitivity,[status(thm)],[16322, 16320])).
% 26.19/17.47 tff(16324,plain,
% 26.19/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16325,plain,
% 26.19/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 26.19/17.47 tff(16326,plain,
% 26.19/17.47 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16325, 416, 16239])).
% 26.19/17.47 tff(16327,plain,
% 26.19/17.47 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16326, 16251])).
% 26.19/17.47 tff(16328,plain,
% 26.19/17.47 (~v90(constB129, bitIndex0)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16327, 16319])).
% 26.19/17.47 tff(16329,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16330,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16331,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 26.19/17.47 tff(16332,plain,
% 26.19/17.47 (v123(constB129)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16331, 1727, 16328, 16294, 16260])).
% 26.19/17.47 tff(16333,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB129)) | v115(constB129))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16334,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16335,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB129)) | v115(constB129)),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16334, 16333])).
% 26.19/17.47 tff(16336,plain,
% 26.19/17.47 (v115(constB129)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16335, 1784, 16332])).
% 26.19/17.47 tff(16337,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16338,plain,
% 26.19/17.47 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16339,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 26.19/17.47 inference(monotonicity,[status(thm)],[16338])).
% 26.19/17.47 tff(16340,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 26.19/17.47 inference(transitivity,[status(thm)],[16339, 16337])).
% 26.19/17.47 tff(16341,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16342,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16341, 16340])).
% 26.19/17.47 tff(16343,plain,
% 26.19/17.47 (v114(constB129)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16342, 504, 16336])).
% 26.19/17.47 tff(16344,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16345,plain,
% 26.19/17.47 (((~v114(constB129)) | v113(constB129)) <=> (v113(constB129) | (~v114(constB129)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16346,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129))))),
% 26.19/17.47 inference(monotonicity,[status(thm)],[16345])).
% 26.19/17.47 tff(16347,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 26.19/17.47 inference(transitivity,[status(thm)],[16346, 16344])).
% 26.19/17.47 tff(16348,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16349,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 26.19/17.47 tff(16350,plain,
% 26.19/17.47 (v113(constB129)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16349, 518, 16343])).
% 26.19/17.47 tff(16351,assumption,(v71(constB129)), introduced(assumption)).
% 26.19/17.47 tff(16352,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB129))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16353,plain,
% 26.19/17.47 ($false),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16352, 231, 16351])).
% 26.19/17.47 tff(16354,plain,(~v71(constB129)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.47 tff(16355,assumption,(v18(constB130)), introduced(assumption)).
% 26.19/17.47 tff(16356,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB130))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16357,plain,
% 26.19/17.47 ($false),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16356, 8, 16355])).
% 26.19/17.47 tff(16358,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.47 tff(16359,plain,
% 26.19/17.47 (v1(constB130) <=> v1(constB130)),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16360,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 26.19/17.47 tff(16361,plain,
% 26.19/17.47 (v1(constB130)),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 26.19/17.47 tff(16362,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16363,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16364,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16363, 16362])).
% 26.19/17.47 tff(16365,plain,
% 26.19/17.47 (v22(constB130)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16364, 24, 16361])).
% 26.19/17.47 tff(16366,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16367,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16368,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130))),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16367, 16366])).
% 26.19/17.47 tff(16369,plain,
% 26.19/17.47 (v18(constB130) | (~v19(constB130))),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16368, 38, 16365])).
% 26.19/17.47 tff(16370,plain,
% 26.19/17.47 (~v19(constB130)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16369, 16358])).
% 26.19/17.47 tff(16371,plain,
% 26.19/17.47 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16372,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 26.19/17.47 inference(quant_inst,[status(thm)],[])).
% 26.19/17.47 tff(16373,plain,
% 26.19/17.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 26.19/17.47 tff(16374,plain,
% 26.19/17.47 (v13(constB130)),
% 26.19/17.47 inference(unit_resolution,[status(thm)],[16373, 50, 16370])).
% 26.19/17.47 tff(16375,plain,
% 26.19/17.47 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 26.19/17.47 inference(rewrite,[status(thm)],[])).
% 26.19/17.47 tff(16376,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 26.19/17.47 tff(16377,plain,
% 26.19/17.47 (nextState(constB129, constB130)),
% 26.19/17.47 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 26.19/17.47 tff(16378,plain,
% 26.19/17.47 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16379,plain,
% 26.21/17.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16380,plain,
% 26.21/17.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16379, 16378])).
% 26.21/17.47 tff(16381,plain,
% 26.21/17.47 (v9(constB129) | (~v13(constB130))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16380, 67, 16377])).
% 26.21/17.47 tff(16382,plain,
% 26.21/17.47 (v9(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16381, 16374])).
% 26.21/17.47 tff(16383,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB129)) | v80(constB129))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB129)) | v80(constB129))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16384,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB129)) | v80(constB129))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16385,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB129)) | v80(constB129)),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16384, 16383])).
% 26.21/17.47 tff(16386,plain,
% 26.21/17.47 (v80(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16385, 241, 16382])).
% 26.21/17.47 tff(16387,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB129) | v78(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB129) | v78(constB129))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16388,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB129) | v78(constB129))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16389,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB129) | v78(constB129)),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16388, 16387])).
% 26.21/17.47 tff(16390,plain,
% 26.21/17.47 (v78(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16389, 252, 16236])).
% 26.21/17.47 tff(16391,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB129) | (~v80(constB129)) | (~v78(constB129)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB129) | (~v80(constB129)) | (~v78(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16392,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB129) | (~v80(constB129)) | (~v78(constB129)))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16393,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB129) | (~v80(constB129)) | (~v78(constB129))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 26.21/17.47 tff(16394,plain,
% 26.21/17.47 (v76(constB129) | (~v80(constB129))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16393, 266, 16390])).
% 26.21/17.47 tff(16395,plain,
% 26.21/17.47 (v76(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16394, 16386])).
% 26.21/17.47 tff(16396,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB129) | (~v76(constB129)) | (~v72(constB129)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB129) | (~v76(constB129)) | (~v72(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16397,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB129) | (~v76(constB129)) | (~v72(constB129)))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16398,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB129) | (~v76(constB129)) | (~v72(constB129))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 26.21/17.47 tff(16399,plain,
% 26.21/17.47 (v71(constB129) | (~v72(constB129))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16398, 281, 16395])).
% 26.21/17.47 tff(16400,plain,
% 26.21/17.47 (~v72(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16399, 16354])).
% 26.21/17.47 tff(16401,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB129) | v72(constB129) | v74(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB129) | v72(constB129) | v74(constB129))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16402,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB129) | v72(constB129) | v74(constB129))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16403,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB129) | v72(constB129) | v74(constB129)),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 26.21/17.47 tff(16404,plain,
% 26.21/17.47 (v72(constB129) | v74(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16403, 299, 16236])).
% 26.21/17.47 tff(16405,plain,
% 26.21/17.47 (v74(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16404, 16400])).
% 26.21/17.47 tff(16406,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB129) | v64(constB129) | (~v9(constB129)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB129) | v64(constB129) | (~v9(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16407,plain,
% 26.21/17.47 ((v1(constB129) | (~v9(constB129)) | v64(constB129)) <=> (v1(constB129) | v64(constB129) | (~v9(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16408,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v64(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB129) | v64(constB129) | (~v9(constB129))))),
% 26.21/17.47 inference(monotonicity,[status(thm)],[16407])).
% 26.21/17.47 tff(16409,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v64(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB129) | v64(constB129) | (~v9(constB129)))),
% 26.21/17.47 inference(transitivity,[status(thm)],[16408, 16406])).
% 26.21/17.47 tff(16410,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v64(constB129))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16411,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB129) | v64(constB129) | (~v9(constB129))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16410, 16409])).
% 26.21/17.47 tff(16412,plain,
% 26.21/17.47 (v64(constB129) | (~v9(constB129))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16411, 197, 16236])).
% 26.21/17.47 tff(16413,plain,
% 26.21/17.47 (v64(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16412, 16382])).
% 26.21/17.47 tff(16414,assumption,(v26(constB128)), introduced(assumption)).
% 26.21/17.47 tff(16415,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB128))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16416,plain,
% 26.21/17.47 ($false),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16415, 120, 16414])).
% 26.21/17.47 tff(16417,plain,(~v26(constB128)), inference(lemma,lemma(discharge,[]))).
% 26.21/17.47 tff(16418,plain,
% 26.21/17.47 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB128, constB129)) | v26(constB128) | (~v66(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB128, constB129)) | v26(constB128) | (~v66(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16419,plain,
% 26.21/17.47 ((v26(constB128) | (~nextState(constB128, constB129)) | (~v66(constB129))) <=> ((~nextState(constB128, constB129)) | v26(constB128) | (~v66(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16420,plain,
% 26.21/17.47 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB128) | (~nextState(constB128, constB129)) | (~v66(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB128, constB129)) | v26(constB128) | (~v66(constB129))))),
% 26.21/17.47 inference(monotonicity,[status(thm)],[16419])).
% 26.21/17.47 tff(16421,plain,
% 26.21/17.47 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB128) | (~nextState(constB128, constB129)) | (~v66(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB128, constB129)) | v26(constB128) | (~v66(constB129)))),
% 26.21/17.47 inference(transitivity,[status(thm)],[16420, 16418])).
% 26.21/17.47 tff(16422,plain,
% 26.21/17.47 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB128) | (~nextState(constB128, constB129)) | (~v66(constB129)))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16423,plain,
% 26.21/17.47 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB128, constB129)) | v26(constB128) | (~v66(constB129))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16422, 16421])).
% 26.21/17.47 tff(16424,plain,
% 26.21/17.47 (v26(constB128) | (~v66(constB129))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16423, 148, 16239])).
% 26.21/17.47 tff(16425,plain,
% 26.21/17.47 (~v66(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16424, 16417])).
% 26.21/17.47 tff(16426,plain,
% 26.21/17.47 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB129)) | v66(constB129) | (~v64(constB129)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB129)) | v66(constB129) | (~v64(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16427,plain,
% 26.21/17.47 (((~v64(constB129)) | v66(constB129) | (~v60(constB129))) <=> ((~v60(constB129)) | v66(constB129) | (~v64(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16428,plain,
% 26.21/17.47 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB129)) | v66(constB129) | (~v60(constB129)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB129)) | v66(constB129) | (~v64(constB129))))),
% 26.21/17.47 inference(monotonicity,[status(thm)],[16427])).
% 26.21/17.47 tff(16429,plain,
% 26.21/17.47 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB129)) | v66(constB129) | (~v60(constB129)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB129)) | v66(constB129) | (~v64(constB129)))),
% 26.21/17.47 inference(transitivity,[status(thm)],[16428, 16426])).
% 26.21/17.47 tff(16430,plain,
% 26.21/17.47 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB129)) | v66(constB129) | (~v60(constB129)))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16431,plain,
% 26.21/17.47 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB129)) | v66(constB129) | (~v64(constB129))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16430, 16429])).
% 26.21/17.47 tff(16432,plain,
% 26.21/17.47 ((~v60(constB129)) | (~v64(constB129))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16431, 215, 16425])).
% 26.21/17.47 tff(16433,plain,
% 26.21/17.47 (~v60(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16432, 16413])).
% 26.21/17.47 tff(16434,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB129) | (~v26(constB129)) | (~v74(constB129)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB129) | (~v26(constB129)) | (~v74(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16435,plain,
% 26.21/17.47 (((~v26(constB129)) | v60(constB129) | (~v74(constB129))) <=> (v60(constB129) | (~v26(constB129)) | (~v74(constB129)))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16436,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB129)) | v60(constB129) | (~v74(constB129)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB129) | (~v26(constB129)) | (~v74(constB129))))),
% 26.21/17.47 inference(monotonicity,[status(thm)],[16435])).
% 26.21/17.47 tff(16437,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB129)) | v60(constB129) | (~v74(constB129)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB129) | (~v26(constB129)) | (~v74(constB129)))),
% 26.21/17.47 inference(transitivity,[status(thm)],[16436, 16434])).
% 26.21/17.47 tff(16438,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB129)) | v60(constB129) | (~v74(constB129)))),
% 26.21/17.47 inference(quant_inst,[status(thm)],[])).
% 26.21/17.47 tff(16439,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB129) | (~v26(constB129)) | (~v74(constB129))),
% 26.21/17.47 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 26.21/17.47 tff(16440,plain,
% 26.21/17.47 ((~v26(constB129)) | (~v74(constB129))),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16439, 314, 16433])).
% 26.21/17.47 tff(16441,plain,
% 26.21/17.47 (~v26(constB129)),
% 26.21/17.47 inference(unit_resolution,[status(thm)],[16440, 16405])).
% 26.21/17.47 tff(16442,plain,
% 26.21/17.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 26.21/17.47 inference(rewrite,[status(thm)],[])).
% 26.21/17.47 tff(16443,plain,
% 26.21/17.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16444,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 26.21/17.48 tff(16445,plain,
% 26.21/17.48 ((~v113(constB129)) | v112(constB129)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16444, 532, 16441])).
% 26.21/17.48 tff(16446,plain,
% 26.21/17.48 (v112(constB129)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16445, 16350])).
% 26.21/17.48 tff(16447,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16448,plain,
% 26.21/17.48 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16449,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16448])).
% 26.21/17.48 tff(16450,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16449, 16447])).
% 26.21/17.48 tff(16451,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16452,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 26.21/17.48 tff(16453,plain,
% 26.21/17.48 (v108(constB129)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16452, 544, 16446])).
% 26.21/17.48 tff(16454,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16455,plain,
% 26.21/17.48 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16456,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16455])).
% 26.21/17.48 tff(16457,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16456, 16454])).
% 26.21/17.48 tff(16458,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16459,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 26.21/17.48 tff(16460,plain,
% 26.21/17.48 (v110(constB130) | (~v108(constB129))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16459, 564, 16377])).
% 26.21/17.48 tff(16461,plain,
% 26.21/17.48 (v110(constB130)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16460, 16453])).
% 26.21/17.48 tff(16462,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16463,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16464,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 26.21/17.48 tff(16465,plain,
% 26.21/17.48 (~v104(constB130)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16464, 582, 16377, 16236])).
% 26.21/17.48 tff(16466,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16467,plain,
% 26.21/17.48 (((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16468,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16467])).
% 26.21/17.48 tff(16469,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16468, 16466])).
% 26.21/17.48 tff(16470,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16471,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | v102(constB130)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 26.21/17.48 tff(16472,plain,
% 26.21/17.48 (v104(constB130) | v102(constB130)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16471, 596, 16377])).
% 26.21/17.48 tff(16473,plain,
% 26.21/17.48 (v102(constB130)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16472, 16465])).
% 26.21/17.48 tff(16474,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16475,plain,
% 26.21/17.48 (((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))) <=> ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16476,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16475])).
% 26.21/17.48 tff(16477,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130)))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16476, 16474])).
% 26.21/17.48 tff(16478,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16479,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | (~v1(constB130)) | v101(constB130) | (~v102(constB130))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 26.21/17.48 tff(16480,plain,
% 26.21/17.48 (v101(constB130) | (~v102(constB130))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16479, 617, 16377, 16361])).
% 26.21/17.48 tff(16481,plain,
% 26.21/17.48 (v101(constB130)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16480, 16473])).
% 26.21/17.48 tff(16482,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16483,plain,
% 26.21/17.48 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16484,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16483])).
% 26.21/17.48 tff(16485,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16484, 16482])).
% 26.21/17.48 tff(16486,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16487,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16486, 16485])).
% 26.21/17.48 tff(16488,plain,
% 26.21/17.48 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16487, 635, 16377])).
% 26.21/17.48 tff(16489,plain,
% 26.21/17.48 (v100(constB130) | (~v110(constB130))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16488, 16481])).
% 26.21/17.48 tff(16490,plain,
% 26.21/17.48 (v100(constB130)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16489, 16461])).
% 26.21/17.48 tff(16491,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16492,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16493,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 26.21/17.48 tff(16494,plain,
% 26.21/17.48 (v130(constB129, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16493, 1738, 16332])).
% 26.21/17.48 tff(16495,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16496,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16497,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 26.21/17.48 tff(16498,plain,
% 26.21/17.48 ((~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16497, 1560, 16441])).
% 26.21/17.48 tff(16499,plain,
% 26.21/17.48 (v127(constB129, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16498, 16494])).
% 26.21/17.48 tff(16500,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16501,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16502,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16501, 16500])).
% 26.21/17.48 tff(16503,plain,
% 26.21/17.48 ((~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16502, 1575, 16377])).
% 26.21/17.48 tff(16504,plain,
% 26.21/17.48 (v129(constB130, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16503, 16499])).
% 26.21/17.48 tff(16505,plain,
% 26.21/17.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16506,plain,
% 26.21/17.48 ((v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16507,plain,
% 26.21/17.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16506])).
% 26.21/17.48 tff(16508,plain,
% 26.21/17.48 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16507, 16505])).
% 26.21/17.48 tff(16509,plain,
% 26.21/17.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16510,plain,
% 26.21/17.48 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16509, 16508])).
% 26.21/17.48 tff(16511,plain,
% 26.21/17.48 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16510, 1590, 16504])).
% 26.21/17.48 tff(16512,plain,
% 26.21/17.48 (v90(constB130, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16511, 16490])).
% 26.21/17.48 tff(16513,plain,
% 26.21/17.48 ((~v1(constB131)) <=> (~v1(constB131))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16514,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 26.21/17.48 tff(16515,plain,
% 26.21/17.48 (~v1(constB131)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 26.21/17.48 tff(16516,plain,
% 26.21/17.48 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16517,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 26.21/17.48 tff(16518,plain,
% 26.21/17.48 (nextState(constB130, constB131)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16517, 16516])).
% 26.21/17.48 tff(16519,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16520,plain,
% 26.21/17.48 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16521,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16520])).
% 26.21/17.48 tff(16522,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16521, 16519])).
% 26.21/17.48 tff(16523,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16524,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 26.21/17.48 tff(16525,plain,
% 26.21/17.48 (~v101(constB131)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16524, 342, 16518, 16515])).
% 26.21/17.48 tff(16526,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16527,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16528,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 26.21/17.48 tff(16529,plain,
% 26.21/17.48 (v101(constB131) | (~v100(constB131))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16528, 359, 16518])).
% 26.21/17.48 tff(16530,plain,
% 26.21/17.48 (~v100(constB131)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16529, 16525])).
% 26.21/17.48 tff(16531,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16532,plain,
% 26.21/17.48 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16533,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16532])).
% 26.21/17.48 tff(16534,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16533, 16531])).
% 26.21/17.48 tff(16535,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16536,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 26.21/17.48 tff(16537,plain,
% 26.21/17.48 ((~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16536, 1626, 16518])).
% 26.21/17.48 tff(16538,plain,
% 26.21/17.48 ((~v90(constB130, bitIndex2)) | v90(constB131, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16537, 16530])).
% 26.21/17.48 tff(16539,plain,
% 26.21/17.48 (v90(constB131, bitIndex2)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16538, 16512])).
% 26.21/17.48 tff(16540,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16541,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16542,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16541, 16540])).
% 26.21/17.48 tff(16543,plain,
% 26.21/17.48 (~v130(constB129, bitIndex1)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16542, 1893, 16332])).
% 26.21/17.48 tff(16544,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16545,plain,
% 26.21/17.48 ((v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1))) <=> ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16546,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16545])).
% 26.21/17.48 tff(16547,plain,
% 26.21/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 26.21/17.48 inference(transitivity,[status(thm)],[16546, 16544])).
% 26.21/17.48 tff(16548,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16549,plain,
% 26.21/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16548, 16547])).
% 26.21/17.48 tff(16550,plain,
% 26.21/17.48 ((~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16549, 751, 16441])).
% 26.21/17.48 tff(16551,plain,
% 26.21/17.48 (~v127(constB129, bitIndex1)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16550, 16543])).
% 26.21/17.48 tff(16552,plain,
% 26.21/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16553,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 26.21/17.48 inference(quant_inst,[status(thm)],[])).
% 26.21/17.48 tff(16554,plain,
% 26.21/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 26.21/17.48 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 26.21/17.48 tff(16555,plain,
% 26.21/17.48 (v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16554, 769, 16377])).
% 26.21/17.48 tff(16556,plain,
% 26.21/17.48 (~v129(constB130, bitIndex1)),
% 26.21/17.48 inference(unit_resolution,[status(thm)],[16555, 16551])).
% 26.21/17.48 tff(16557,plain,
% 26.21/17.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16558,plain,
% 26.21/17.48 (((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 26.21/17.48 inference(rewrite,[status(thm)],[])).
% 26.21/17.48 tff(16559,plain,
% 26.21/17.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))))),
% 26.21/17.48 inference(monotonicity,[status(thm)],[16558])).
% 26.21/17.48 tff(16560,plain,
% 26.21/17.48 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16559, 16557])).
% 26.21/17.49 tff(16561,plain,
% 26.21/17.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16562,plain,
% 26.21/17.49 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 26.21/17.49 tff(16563,plain,
% 26.21/17.49 ((~v90(constB130, bitIndex1)) | (~v100(constB130))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16562, 784, 16556])).
% 26.21/17.49 tff(16564,plain,
% 26.21/17.49 (~v90(constB130, bitIndex1)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16563, 16490])).
% 26.21/17.49 tff(16565,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16566,plain,
% 26.21/17.49 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16567,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16566])).
% 26.21/17.49 tff(16568,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16567, 16565])).
% 26.21/17.49 tff(16569,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16570,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 26.21/17.49 tff(16571,plain,
% 26.21/17.49 (v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16570, 395, 16518])).
% 26.21/17.49 tff(16572,plain,
% 26.21/17.49 (v90(constB130, bitIndex1) | (~v90(constB131, bitIndex1))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16571, 16530])).
% 26.21/17.49 tff(16573,plain,
% 26.21/17.49 (~v90(constB131, bitIndex1)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16572, 16564])).
% 26.21/17.49 tff(16574,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16575,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16576,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16575, 16574])).
% 26.21/17.49 tff(16577,plain,
% 26.21/17.49 (v130(constB129, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16576, 1934, 16332])).
% 26.21/17.49 tff(16578,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16579,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16580,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16579, 16578])).
% 26.21/17.49 tff(16581,plain,
% 26.21/17.49 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16580, 822, 16441])).
% 26.21/17.49 tff(16582,plain,
% 26.21/17.49 (v127(constB129, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16581, 16577])).
% 26.21/17.49 tff(16583,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16584,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16585,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 26.21/17.49 tff(16586,plain,
% 26.21/17.49 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16585, 837, 16377])).
% 26.21/17.49 tff(16587,plain,
% 26.21/17.49 (v129(constB130, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16586, 16582])).
% 26.21/17.49 tff(16588,plain,
% 26.21/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16589,plain,
% 26.21/17.49 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16590,plain,
% 26.21/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16589])).
% 26.21/17.49 tff(16591,plain,
% 26.21/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16590, 16588])).
% 26.21/17.49 tff(16592,plain,
% 26.21/17.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16593,plain,
% 26.21/17.49 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16592, 16591])).
% 26.21/17.49 tff(16594,plain,
% 26.21/17.49 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16593, 852, 16587])).
% 26.21/17.49 tff(16595,plain,
% 26.21/17.49 (v90(constB130, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16594, 16490])).
% 26.21/17.49 tff(16596,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16597,plain,
% 26.21/17.49 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16598,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16597])).
% 26.21/17.49 tff(16599,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16598, 16596])).
% 26.21/17.49 tff(16600,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16601,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 26.21/17.49 tff(16602,plain,
% 26.21/17.49 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16601, 870, 16518])).
% 26.21/17.49 tff(16603,plain,
% 26.21/17.49 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16602, 16530])).
% 26.21/17.49 tff(16604,plain,
% 26.21/17.49 (v90(constB131, bitIndex0)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16603, 16595])).
% 26.21/17.49 tff(16605,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16606,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16607,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 26.21/17.49 tff(16608,plain,
% 26.21/17.49 (v124(constB131)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16607, 1975, 16604, 16573, 16539])).
% 26.21/17.49 tff(16609,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16610,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16611,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 26.21/17.49 tff(16612,plain,
% 26.21/17.49 (v114(constB131)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16611, 1986, 16608])).
% 26.21/17.49 tff(16613,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16614,plain,
% 26.21/17.49 (((~v114(constB131)) | v113(constB131)) <=> (v113(constB131) | (~v114(constB131)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16615,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16614])).
% 26.21/17.49 tff(16616,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16615, 16613])).
% 26.21/17.49 tff(16617,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16618,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16617, 16616])).
% 26.21/17.49 tff(16619,plain,
% 26.21/17.49 (v113(constB131)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16618, 518, 16612])).
% 26.21/17.49 tff(16620,assumption,(v26(constB131)), introduced(assumption)).
% 26.21/17.49 tff(16621,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16622,plain,
% 26.21/17.49 ($false),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16621, 120, 16620])).
% 26.21/17.49 tff(16623,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 26.21/17.49 tff(16624,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16625,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16626,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 26.21/17.49 tff(16627,plain,
% 26.21/17.49 ((~v113(constB131)) | v112(constB131)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16626, 532, 16623])).
% 26.21/17.49 tff(16628,plain,
% 26.21/17.49 (v112(constB131)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16627, 16619])).
% 26.21/17.49 tff(16629,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16630,plain,
% 26.21/17.49 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16631,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16630])).
% 26.21/17.49 tff(16632,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16631, 16629])).
% 26.21/17.49 tff(16633,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16634,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 26.21/17.49 tff(16635,plain,
% 26.21/17.49 (v108(constB131)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16634, 544, 16628])).
% 26.21/17.49 tff(16636,plain,
% 26.21/17.49 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16637,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 26.21/17.49 tff(16638,plain,
% 26.21/17.49 (nextState(constB131, constB132)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16637, 16636])).
% 26.21/17.49 tff(16639,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16640,plain,
% 26.21/17.49 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16641,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16640])).
% 26.21/17.49 tff(16642,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16641, 16639])).
% 26.21/17.49 tff(16643,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16644,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16643, 16642])).
% 26.21/17.49 tff(16645,plain,
% 26.21/17.49 (v110(constB132) | (~v108(constB131))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16644, 564, 16638])).
% 26.21/17.49 tff(16646,plain,
% 26.21/17.49 (v110(constB132)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16645, 16635])).
% 26.21/17.49 tff(16647,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16648,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16649,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16648, 16647])).
% 26.21/17.49 tff(16650,plain,
% 26.21/17.49 (~v104(constB132)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16649, 582, 16638, 16515])).
% 26.21/17.49 tff(16651,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16652,plain,
% 26.21/17.49 (((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16653,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16652])).
% 26.21/17.49 tff(16654,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16653, 16651])).
% 26.21/17.49 tff(16655,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16656,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | v102(constB132)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 26.21/17.49 tff(16657,plain,
% 26.21/17.49 (v104(constB132) | v102(constB132)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16656, 596, 16638])).
% 26.21/17.49 tff(16658,plain,
% 26.21/17.49 (v102(constB132)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16657, 16650])).
% 26.21/17.49 tff(16659,plain,
% 26.21/17.49 (v1(constB132) <=> v1(constB132)),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16660,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 26.21/17.49 tff(16661,plain,
% 26.21/17.49 (v1(constB132)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16660, 16659])).
% 26.21/17.49 tff(16662,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16663,plain,
% 26.21/17.49 (((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))) <=> ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16664,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16663])).
% 26.21/17.49 tff(16665,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16664, 16662])).
% 26.21/17.49 tff(16666,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16667,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | (~v1(constB132)) | v101(constB132) | (~v102(constB132))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16666, 16665])).
% 26.21/17.49 tff(16668,plain,
% 26.21/17.49 (v101(constB132) | (~v102(constB132))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16667, 617, 16638, 16661])).
% 26.21/17.49 tff(16669,plain,
% 26.21/17.49 (v101(constB132)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16668, 16658])).
% 26.21/17.49 tff(16670,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16671,plain,
% 26.21/17.49 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16672,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16671])).
% 26.21/17.49 tff(16673,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 26.21/17.49 inference(transitivity,[status(thm)],[16672, 16670])).
% 26.21/17.49 tff(16674,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16675,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 26.21/17.49 tff(16676,plain,
% 26.21/17.49 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16675, 635, 16638])).
% 26.21/17.49 tff(16677,plain,
% 26.21/17.49 (v100(constB132) | (~v110(constB132))),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16676, 16669])).
% 26.21/17.49 tff(16678,plain,
% 26.21/17.49 (v100(constB132)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16677, 16646])).
% 26.21/17.49 tff(16679,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16680,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16681,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 26.21/17.49 tff(16682,plain,
% 26.21/17.49 (v130(constB131, bitIndex2)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16681, 2066, 16608])).
% 26.21/17.49 tff(16683,plain,
% 26.21/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16684,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16685,plain,
% 26.21/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16684, 16683])).
% 26.21/17.49 tff(16686,plain,
% 26.21/17.49 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16685, 1560, 16623])).
% 26.21/17.49 tff(16687,plain,
% 26.21/17.49 (v127(constB131, bitIndex2)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16686, 16682])).
% 26.21/17.49 tff(16688,plain,
% 26.21/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16689,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 26.21/17.49 inference(quant_inst,[status(thm)],[])).
% 26.21/17.49 tff(16690,plain,
% 26.21/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 26.21/17.49 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 26.21/17.49 tff(16691,plain,
% 26.21/17.49 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16690, 1575, 16638])).
% 26.21/17.49 tff(16692,plain,
% 26.21/17.49 (v129(constB132, bitIndex2)),
% 26.21/17.49 inference(unit_resolution,[status(thm)],[16691, 16687])).
% 26.21/17.49 tff(16693,plain,
% 26.21/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16694,plain,
% 26.21/17.49 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 26.21/17.49 inference(rewrite,[status(thm)],[])).
% 26.21/17.49 tff(16695,plain,
% 26.21/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 26.21/17.49 inference(monotonicity,[status(thm)],[16694])).
% 26.21/17.49 tff(16696,plain,
% 26.21/17.49 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16695, 16693])).
% 26.21/17.50 tff(16697,plain,
% 26.21/17.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16698,plain,
% 26.21/17.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16697, 16696])).
% 26.21/17.50 tff(16699,plain,
% 26.21/17.50 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16698, 1590, 16692])).
% 26.21/17.50 tff(16700,plain,
% 26.21/17.50 (v90(constB132, bitIndex2)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16699, 16678])).
% 26.21/17.50 tff(16701,plain,
% 26.21/17.50 ((~v1(constB133)) <=> (~v1(constB133))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16702,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 26.21/17.50 tff(16703,plain,
% 26.21/17.50 (~v1(constB133)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16702, 16701])).
% 26.21/17.50 tff(16704,plain,
% 26.21/17.50 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16705,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 26.21/17.50 tff(16706,plain,
% 26.21/17.50 (nextState(constB132, constB133)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 26.21/17.50 tff(16707,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16708,plain,
% 26.21/17.50 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16709,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16708])).
% 26.21/17.50 tff(16710,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16709, 16707])).
% 26.21/17.50 tff(16711,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16712,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16711, 16710])).
% 26.21/17.50 tff(16713,plain,
% 26.21/17.50 (~v101(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16712, 342, 16706, 16703])).
% 26.21/17.50 tff(16714,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16715,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16716,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 26.21/17.50 tff(16717,plain,
% 26.21/17.50 (v101(constB133) | (~v100(constB133))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16716, 359, 16706])).
% 26.21/17.50 tff(16718,plain,
% 26.21/17.50 (~v100(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16717, 16713])).
% 26.21/17.50 tff(16719,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16720,plain,
% 26.21/17.50 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16721,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16720])).
% 26.21/17.50 tff(16722,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16721, 16719])).
% 26.21/17.50 tff(16723,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16724,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 26.21/17.50 tff(16725,plain,
% 26.21/17.50 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16724, 1626, 16706])).
% 26.21/17.50 tff(16726,plain,
% 26.21/17.50 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16725, 16718])).
% 26.21/17.50 tff(16727,plain,
% 26.21/17.50 (v90(constB133, bitIndex2)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16726, 16700])).
% 26.21/17.50 tff(16728,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16729,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16730,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16729, 16728])).
% 26.21/17.50 tff(16731,plain,
% 26.21/17.50 (v130(constB131, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16730, 2122, 16608])).
% 26.21/17.50 tff(16732,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16733,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16734,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16733, 16732])).
% 26.21/17.50 tff(16735,plain,
% 26.21/17.50 ((~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16734, 1075, 16623])).
% 26.21/17.50 tff(16736,plain,
% 26.21/17.50 (v127(constB131, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16735, 16731])).
% 26.21/17.50 tff(16737,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16738,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16739,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 26.21/17.50 tff(16740,plain,
% 26.21/17.50 ((~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16739, 1090, 16638])).
% 26.21/17.50 tff(16741,plain,
% 26.21/17.50 (v129(constB132, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16740, 16736])).
% 26.21/17.50 tff(16742,plain,
% 26.21/17.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16743,plain,
% 26.21/17.50 ((v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16744,plain,
% 26.21/17.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16743])).
% 26.21/17.50 tff(16745,plain,
% 26.21/17.50 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16744, 16742])).
% 26.21/17.50 tff(16746,plain,
% 26.21/17.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16747,plain,
% 26.21/17.50 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16746, 16745])).
% 26.21/17.50 tff(16748,plain,
% 26.21/17.50 (v90(constB132, bitIndex1) | (~v100(constB132))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16747, 1105, 16741])).
% 26.21/17.50 tff(16749,plain,
% 26.21/17.50 (v90(constB132, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16748, 16678])).
% 26.21/17.50 tff(16750,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16751,plain,
% 26.21/17.50 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16752,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16751])).
% 26.21/17.50 tff(16753,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16752, 16750])).
% 26.21/17.50 tff(16754,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16755,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 26.21/17.50 tff(16756,plain,
% 26.21/17.50 ((~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16755, 1123, 16706])).
% 26.21/17.50 tff(16757,plain,
% 26.21/17.50 ((~v90(constB132, bitIndex1)) | v90(constB133, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16756, 16718])).
% 26.21/17.50 tff(16758,plain,
% 26.21/17.50 (v90(constB133, bitIndex1)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16757, 16749])).
% 26.21/17.50 tff(16759,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16760,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16761,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 26.21/17.50 tff(16762,plain,
% 26.21/17.50 (~v130(constB131, bitIndex0)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16761, 2160, 16608])).
% 26.21/17.50 tff(16763,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16764,plain,
% 26.21/17.50 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16765,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16764])).
% 26.21/17.50 tff(16766,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16765, 16763])).
% 26.21/17.50 tff(16767,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16768,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 26.21/17.50 tff(16769,plain,
% 26.21/17.50 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16768, 1153, 16623])).
% 26.21/17.50 tff(16770,plain,
% 26.21/17.50 (~v127(constB131, bitIndex0)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16769, 16762])).
% 26.21/17.50 tff(16771,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16772,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16773,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 26.21/17.50 tff(16774,plain,
% 26.21/17.50 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16773, 1171, 16638])).
% 26.21/17.50 tff(16775,plain,
% 26.21/17.50 (~v129(constB132, bitIndex0)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16774, 16770])).
% 26.21/17.50 tff(16776,plain,
% 26.21/17.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16777,plain,
% 26.21/17.50 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16778,plain,
% 26.21/17.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16777])).
% 26.21/17.50 tff(16779,plain,
% 26.21/17.50 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16778, 16776])).
% 26.21/17.50 tff(16780,plain,
% 26.21/17.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16781,plain,
% 26.21/17.50 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16780, 16779])).
% 26.21/17.50 tff(16782,plain,
% 26.21/17.50 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16781, 1186, 16775])).
% 26.21/17.50 tff(16783,plain,
% 26.21/17.50 (~v90(constB132, bitIndex0)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16782, 16678])).
% 26.21/17.50 tff(16784,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16785,plain,
% 26.21/17.50 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16786,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16785])).
% 26.21/17.50 tff(16787,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16786, 16784])).
% 26.21/17.50 tff(16788,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16789,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 26.21/17.50 tff(16790,plain,
% 26.21/17.50 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16789, 416, 16706])).
% 26.21/17.50 tff(16791,plain,
% 26.21/17.50 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16790, 16718])).
% 26.21/17.50 tff(16792,plain,
% 26.21/17.50 (~v90(constB133, bitIndex0)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16791, 16783])).
% 26.21/17.50 tff(16793,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16794,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16795,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 26.21/17.50 tff(16796,plain,
% 26.21/17.50 (v125(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16795, 2204, 16792, 16758, 16727])).
% 26.21/17.50 tff(16797,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB133)) | v113(constB133))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16798,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16799,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB133)) | v113(constB133)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16798, 16797])).
% 26.21/17.50 tff(16800,plain,
% 26.21/17.50 (v113(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16799, 2215, 16796])).
% 26.21/17.50 tff(16801,assumption,(v26(constB133)), introduced(assumption)).
% 26.21/17.50 tff(16802,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16803,plain,
% 26.21/17.50 ($false),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16802, 120, 16801])).
% 26.21/17.50 tff(16804,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 26.21/17.50 tff(16805,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16806,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16807,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | (~v113(constB133)) | v112(constB133)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 26.21/17.50 tff(16808,plain,
% 26.21/17.50 ((~v113(constB133)) | v112(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16807, 532, 16804])).
% 26.21/17.50 tff(16809,plain,
% 26.21/17.50 (v112(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16808, 16800])).
% 26.21/17.50 tff(16810,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16811,plain,
% 26.21/17.50 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16812,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16811])).
% 26.21/17.50 tff(16813,plain,
% 26.21/17.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16812, 16810])).
% 26.21/17.50 tff(16814,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16815,plain,
% 26.21/17.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 26.21/17.50 tff(16816,plain,
% 26.21/17.50 (v108(constB133)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16815, 544, 16809])).
% 26.21/17.50 tff(16817,plain,
% 26.21/17.50 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16818,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 26.21/17.50 tff(16819,plain,
% 26.21/17.50 (nextState(constB133, constB134)),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 26.21/17.50 tff(16820,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16821,plain,
% 26.21/17.50 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16822,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 26.21/17.50 inference(monotonicity,[status(thm)],[16821])).
% 26.21/17.50 tff(16823,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 26.21/17.50 inference(transitivity,[status(thm)],[16822, 16820])).
% 26.21/17.50 tff(16824,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16825,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 26.21/17.50 tff(16826,plain,
% 26.21/17.50 (v110(constB134) | (~v108(constB133))),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16825, 564, 16819])).
% 26.21/17.50 tff(16827,plain,
% 26.21/17.50 (v110(constB134)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16826, 16816])).
% 26.21/17.50 tff(16828,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 26.21/17.50 inference(rewrite,[status(thm)],[])).
% 26.21/17.50 tff(16829,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 26.21/17.50 inference(quant_inst,[status(thm)],[])).
% 26.21/17.50 tff(16830,plain,
% 26.21/17.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 26.21/17.50 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 26.21/17.50 tff(16831,plain,
% 26.21/17.50 (~v104(constB134)),
% 26.21/17.50 inference(unit_resolution,[status(thm)],[16830, 582, 16819, 16703])).
% 26.21/17.50 tff(16832,plain,
% 26.21/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16833,plain,
% 26.21/17.51 (((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16834,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16833])).
% 26.21/17.51 tff(16835,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16834, 16832])).
% 26.21/17.51 tff(16836,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16837,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | v102(constB134)),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16836, 16835])).
% 26.21/17.51 tff(16838,plain,
% 26.21/17.51 (v104(constB134) | v102(constB134)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16837, 596, 16819])).
% 26.21/17.51 tff(16839,plain,
% 26.21/17.51 (v102(constB134)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16838, 16831])).
% 26.21/17.51 tff(16840,plain,
% 26.21/17.51 (v1(constB134) <=> v1(constB134)),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16841,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 26.21/17.51 tff(16842,plain,
% 26.21/17.51 (v1(constB134)),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 26.21/17.51 tff(16843,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16844,plain,
% 26.21/17.51 (((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))) <=> ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16845,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16844])).
% 26.21/17.51 tff(16846,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134)))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16845, 16843])).
% 26.21/17.51 tff(16847,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16848,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | (~v1(constB134)) | v101(constB134) | (~v102(constB134))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16847, 16846])).
% 26.21/17.51 tff(16849,plain,
% 26.21/17.51 (v101(constB134) | (~v102(constB134))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16848, 617, 16819, 16842])).
% 26.21/17.51 tff(16850,plain,
% 26.21/17.51 (v101(constB134)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16849, 16839])).
% 26.21/17.51 tff(16851,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16852,plain,
% 26.21/17.51 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16853,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16852])).
% 26.21/17.51 tff(16854,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16853, 16851])).
% 26.21/17.51 tff(16855,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16856,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 26.21/17.51 tff(16857,plain,
% 26.21/17.51 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16856, 635, 16819])).
% 26.21/17.51 tff(16858,plain,
% 26.21/17.51 (v100(constB134) | (~v110(constB134))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16857, 16850])).
% 26.21/17.51 tff(16859,plain,
% 26.21/17.51 (v100(constB134)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16858, 16827])).
% 26.21/17.51 tff(16860,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB133)) | (~v90(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB133)) | (~v90(constB133, bitIndex2)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16861,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB133)) | (~v90(constB133, bitIndex2)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16862,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB133)) | (~v90(constB133, bitIndex2))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 26.21/17.51 tff(16863,plain,
% 26.21/17.51 (~v121(constB133)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16862, 2287, 16727])).
% 26.21/17.51 tff(16864,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB133)) | (~v90(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB133)) | (~v90(constB133, bitIndex2)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16865,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB133)) | (~v90(constB133, bitIndex2)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16866,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB133)) | (~v90(constB133, bitIndex2))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 26.21/17.51 tff(16867,plain,
% 26.21/17.51 (~v122(constB133)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16866, 2298, 16727])).
% 26.21/17.51 tff(16868,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16869,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16870,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 26.21/17.51 tff(16871,plain,
% 26.21/17.51 (~v119(constB133)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16870, 2309, 16758])).
% 26.21/17.51 tff(16872,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16873,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16874,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB133)) | (~v90(constB133, bitIndex1))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 26.21/17.51 tff(16875,plain,
% 26.21/17.51 (~v120(constB133)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16874, 2320, 16758])).
% 26.21/17.51 tff(16876,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16877,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16878,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB133)) | (~v90(constB133, bitIndex1))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16877, 16876])).
% 26.21/17.51 tff(16879,plain,
% 26.21/17.51 (~v123(constB133)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16878, 2331, 16758])).
% 26.21/17.51 tff(16880,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16881,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB133)) | (~v90(constB133, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16882,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB133)) | (~v90(constB133, bitIndex1))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16881, 16880])).
% 26.21/17.51 tff(16883,plain,
% 26.21/17.51 (~v124(constB133)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16882, 2342, 16758])).
% 26.21/17.51 tff(16884,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16885,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16886,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16885, 16884])).
% 26.21/17.51 tff(16887,plain,
% 26.21/17.51 (~v130(constB133, bitIndex2)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16886, 2356, 16883, 16879, 16875, 16871, 16867, 16863])).
% 26.21/17.51 tff(16888,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16889,plain,
% 26.21/17.51 ((v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2))) <=> ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16890,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16889])).
% 26.21/17.51 tff(16891,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16890, 16888])).
% 26.21/17.51 tff(16892,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16893,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16892, 16891])).
% 26.21/17.51 tff(16894,plain,
% 26.21/17.51 ((~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16893, 665, 16804])).
% 26.21/17.51 tff(16895,plain,
% 26.21/17.51 (~v127(constB133, bitIndex2)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16894, 16887])).
% 26.21/17.51 tff(16896,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16897,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16898,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16897, 16896])).
% 26.21/17.51 tff(16899,plain,
% 26.21/17.51 (v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16898, 683, 16819])).
% 26.21/17.51 tff(16900,plain,
% 26.21/17.51 (~v129(constB134, bitIndex2)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16899, 16895])).
% 26.21/17.51 tff(16901,plain,
% 26.21/17.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16902,plain,
% 26.21/17.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16903,plain,
% 26.21/17.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16902, 16901])).
% 26.21/17.51 tff(16904,plain,
% 26.21/17.51 ((~v90(constB134, bitIndex2)) | (~v100(constB134))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16903, 698, 16900])).
% 26.21/17.51 tff(16905,plain,
% 26.21/17.51 (~v90(constB134, bitIndex2)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16904, 16859])).
% 26.21/17.51 tff(16906,plain,
% 26.21/17.51 ((~v1(constB135)) <=> (~v1(constB135))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16907,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 26.21/17.51 tff(16908,plain,
% 26.21/17.51 (~v1(constB135)),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 26.21/17.51 tff(16909,plain,
% 26.21/17.51 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16910,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 26.21/17.51 tff(16911,plain,
% 26.21/17.51 (nextState(constB134, constB135)),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 26.21/17.51 tff(16912,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16913,plain,
% 26.21/17.51 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16914,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16913])).
% 26.21/17.51 tff(16915,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16914, 16912])).
% 26.21/17.51 tff(16916,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16917,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16916, 16915])).
% 26.21/17.51 tff(16918,plain,
% 26.21/17.51 (~v101(constB135)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16917, 342, 16911, 16908])).
% 26.21/17.51 tff(16919,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16920,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16921,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16920, 16919])).
% 26.21/17.51 tff(16922,plain,
% 26.21/17.51 (v101(constB135) | (~v100(constB135))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16921, 359, 16911])).
% 26.21/17.51 tff(16923,plain,
% 26.21/17.51 (~v100(constB135)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16922, 16918])).
% 26.21/17.51 tff(16924,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16925,plain,
% 26.21/17.51 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16926,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16925])).
% 26.21/17.51 tff(16927,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16926, 16924])).
% 26.21/17.51 tff(16928,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16929,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16928, 16927])).
% 26.21/17.51 tff(16930,plain,
% 26.21/17.51 (v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16929, 374, 16911])).
% 26.21/17.51 tff(16931,plain,
% 26.21/17.51 (v90(constB134, bitIndex2) | (~v90(constB135, bitIndex2))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16930, 16923])).
% 26.21/17.51 tff(16932,plain,
% 26.21/17.51 (~v90(constB135, bitIndex2)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16931, 16905])).
% 26.21/17.51 tff(16933,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16934,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16935,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 26.21/17.51 tff(16936,plain,
% 26.21/17.51 (~v130(constB133, bitIndex1)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16935, 2415, 16883, 16879, 16875, 16871, 16867, 16863])).
% 26.21/17.51 tff(16937,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16938,plain,
% 26.21/17.51 ((v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1))) <=> ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16939,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16938])).
% 26.21/17.51 tff(16940,plain,
% 26.21/17.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16939, 16937])).
% 26.21/17.51 tff(16941,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16942,plain,
% 26.21/17.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16941, 16940])).
% 26.21/17.51 tff(16943,plain,
% 26.21/17.51 ((~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16942, 751, 16804])).
% 26.21/17.51 tff(16944,plain,
% 26.21/17.51 (~v127(constB133, bitIndex1)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16943, 16936])).
% 26.21/17.51 tff(16945,plain,
% 26.21/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16946,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16947,plain,
% 26.21/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16946, 16945])).
% 26.21/17.51 tff(16948,plain,
% 26.21/17.51 (v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16947, 769, 16819])).
% 26.21/17.51 tff(16949,plain,
% 26.21/17.51 (~v129(constB134, bitIndex1)),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16948, 16944])).
% 26.21/17.51 tff(16950,plain,
% 26.21/17.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16951,plain,
% 26.21/17.51 (((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 26.21/17.51 inference(rewrite,[status(thm)],[])).
% 26.21/17.51 tff(16952,plain,
% 26.21/17.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))))),
% 26.21/17.51 inference(monotonicity,[status(thm)],[16951])).
% 26.21/17.51 tff(16953,plain,
% 26.21/17.51 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 26.21/17.51 inference(transitivity,[status(thm)],[16952, 16950])).
% 26.21/17.51 tff(16954,plain,
% 26.21/17.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))),
% 26.21/17.51 inference(quant_inst,[status(thm)],[])).
% 26.21/17.51 tff(16955,plain,
% 26.21/17.51 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))),
% 26.21/17.51 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 26.21/17.51 tff(16956,plain,
% 26.21/17.51 ((~v90(constB134, bitIndex1)) | (~v100(constB134))),
% 26.21/17.51 inference(unit_resolution,[status(thm)],[16955, 784, 16949])).
% 26.21/17.52 tff(16957,plain,
% 26.21/17.52 (~v90(constB134, bitIndex1)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16956, 16859])).
% 26.21/17.52 tff(16958,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16959,plain,
% 26.21/17.52 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16960,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[16959])).
% 26.21/17.52 tff(16961,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[16960, 16958])).
% 26.21/17.52 tff(16962,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(16963,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 26.21/17.52 tff(16964,plain,
% 26.21/17.52 (v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16963, 395, 16911])).
% 26.21/17.52 tff(16965,plain,
% 26.21/17.52 (v90(constB134, bitIndex1) | (~v90(constB135, bitIndex1))),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16964, 16923])).
% 26.21/17.52 tff(16966,plain,
% 26.21/17.52 (~v90(constB135, bitIndex1)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16965, 16957])).
% 26.21/17.52 tff(16967,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16968,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(16969,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16968, 16967])).
% 26.21/17.52 tff(16970,plain,
% 26.21/17.52 (v130(constB133, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16969, 2459, 16883, 16879, 16875, 16871, 16867, 16863])).
% 26.21/17.52 tff(16971,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16972,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(16973,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16972, 16971])).
% 26.21/17.52 tff(16974,plain,
% 26.21/17.52 ((~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16973, 822, 16804])).
% 26.21/17.52 tff(16975,plain,
% 26.21/17.52 (v127(constB133, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16974, 16970])).
% 26.21/17.52 tff(16976,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16977,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(16978,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 26.21/17.52 tff(16979,plain,
% 26.21/17.52 ((~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16978, 837, 16819])).
% 26.21/17.52 tff(16980,plain,
% 26.21/17.52 (v129(constB134, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16979, 16975])).
% 26.21/17.52 tff(16981,plain,
% 26.21/17.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16982,plain,
% 26.21/17.52 ((v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16983,plain,
% 26.21/17.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[16982])).
% 26.21/17.52 tff(16984,plain,
% 26.21/17.52 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[16983, 16981])).
% 26.21/17.52 tff(16985,plain,
% 26.21/17.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(16986,plain,
% 26.21/17.52 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16985, 16984])).
% 26.21/17.52 tff(16987,plain,
% 26.21/17.52 (v90(constB134, bitIndex0) | (~v100(constB134))),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16986, 852, 16980])).
% 26.21/17.52 tff(16988,plain,
% 26.21/17.52 (v90(constB134, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16987, 16859])).
% 26.21/17.52 tff(16989,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16990,plain,
% 26.21/17.52 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16991,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[16990])).
% 26.21/17.52 tff(16992,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 26.21/17.52 inference(transitivity,[status(thm)],[16991, 16989])).
% 26.21/17.52 tff(16993,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(16994,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 26.21/17.52 tff(16995,plain,
% 26.21/17.52 ((~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16994, 870, 16911])).
% 26.21/17.52 tff(16996,plain,
% 26.21/17.52 ((~v90(constB134, bitIndex0)) | v90(constB135, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16995, 16923])).
% 26.21/17.52 tff(16997,plain,
% 26.21/17.52 (v90(constB135, bitIndex0)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[16996, 16988])).
% 26.21/17.52 tff(16998,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(16999,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17000,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 26.21/17.52 tff(17001,plain,
% 26.21/17.52 (v120(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17000, 889, 16997, 16966, 16932])).
% 26.21/17.52 tff(17002,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB135)) | v118(constB135))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17003,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17004,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB135)) | v118(constB135)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 26.21/17.52 tff(17005,plain,
% 26.21/17.52 (v118(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17004, 900, 17001])).
% 26.21/17.52 tff(17006,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB135)) | v117(constB135))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17007,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17008,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB135)) | v117(constB135)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17007, 17006])).
% 26.21/17.52 tff(17009,plain,
% 26.21/17.52 (v117(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17008, 462, 17005])).
% 26.21/17.52 tff(17010,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17011,plain,
% 26.21/17.52 (((~v117(constB135)) | v116(constB135)) <=> (v116(constB135) | (~v117(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17012,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17011])).
% 26.21/17.52 tff(17013,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17012, 17010])).
% 26.21/17.52 tff(17014,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17015,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17014, 17013])).
% 26.21/17.52 tff(17016,plain,
% 26.21/17.52 (v116(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17015, 476, 17009])).
% 26.21/17.52 tff(17017,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17018,plain,
% 26.21/17.52 (((~v116(constB135)) | v115(constB135)) <=> (v115(constB135) | (~v116(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17019,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17018])).
% 26.21/17.52 tff(17020,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17019, 17017])).
% 26.21/17.52 tff(17021,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17022,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17021, 17020])).
% 26.21/17.52 tff(17023,plain,
% 26.21/17.52 (v115(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17022, 490, 17016])).
% 26.21/17.52 tff(17024,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17025,plain,
% 26.21/17.52 (((~v115(constB135)) | v114(constB135)) <=> (v114(constB135) | (~v115(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17026,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17025])).
% 26.21/17.52 tff(17027,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17026, 17024])).
% 26.21/17.52 tff(17028,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17029,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17028, 17027])).
% 26.21/17.52 tff(17030,plain,
% 26.21/17.52 (v114(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17029, 504, 17023])).
% 26.21/17.52 tff(17031,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17032,plain,
% 26.21/17.52 (((~v114(constB135)) | v113(constB135)) <=> (v113(constB135) | (~v114(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17033,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17032])).
% 26.21/17.52 tff(17034,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17033, 17031])).
% 26.21/17.52 tff(17035,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17036,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 26.21/17.52 tff(17037,plain,
% 26.21/17.52 (v113(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17036, 518, 17030])).
% 26.21/17.52 tff(17038,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17039,plain,
% 26.21/17.52 ((v26(constB135) | (~v113(constB135)) | v112(constB135)) <=> (v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17040,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | v112(constB135) | (~v113(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17039])).
% 26.21/17.52 tff(17041,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17040, 17038])).
% 26.21/17.52 tff(17042,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17043,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | v112(constB135) | (~v113(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 26.21/17.52 tff(17044,plain,
% 26.21/17.52 (v26(constB135) | v112(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17043, 532, 17037])).
% 26.21/17.52 tff(17045,plain,
% 26.21/17.52 (v112(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17044, 8476])).
% 26.21/17.52 tff(17046,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17047,plain,
% 26.21/17.52 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17048,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17047])).
% 26.21/17.52 tff(17049,plain,
% 26.21/17.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17048, 17046])).
% 26.21/17.52 tff(17050,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17051,plain,
% 26.21/17.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 26.21/17.52 tff(17052,plain,
% 26.21/17.52 (v108(constB135)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17051, 544, 17045])).
% 26.21/17.52 tff(17053,plain,
% 26.21/17.52 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17054,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 26.21/17.52 tff(17055,plain,
% 26.21/17.52 (nextState(constB135, constB136)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17054, 17053])).
% 26.21/17.52 tff(17056,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17057,plain,
% 26.21/17.52 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17058,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17057])).
% 26.21/17.52 tff(17059,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17058, 17056])).
% 26.21/17.52 tff(17060,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17061,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17060, 17059])).
% 26.21/17.52 tff(17062,plain,
% 26.21/17.52 (v110(constB136) | (~v108(constB135))),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17061, 564, 17055])).
% 26.21/17.52 tff(17063,plain,
% 26.21/17.52 (v110(constB136)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17062, 17052])).
% 26.21/17.52 tff(17064,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17065,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17066,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17065, 17064])).
% 26.21/17.52 tff(17067,plain,
% 26.21/17.52 (~v104(constB136)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17066, 582, 17055, 16908])).
% 26.21/17.52 tff(17068,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17069,plain,
% 26.21/17.52 (((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17070,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17069])).
% 26.21/17.52 tff(17071,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17070, 17068])).
% 26.21/17.52 tff(17072,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17073,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | v102(constB136)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17072, 17071])).
% 26.21/17.52 tff(17074,plain,
% 26.21/17.52 (v104(constB136) | v102(constB136)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17073, 596, 17055])).
% 26.21/17.52 tff(17075,plain,
% 26.21/17.52 (v102(constB136)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17074, 17067])).
% 26.21/17.52 tff(17076,plain,
% 26.21/17.52 (v1(constB136) <=> v1(constB136)),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17077,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 26.21/17.52 tff(17078,plain,
% 26.21/17.52 (v1(constB136)),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17077, 17076])).
% 26.21/17.52 tff(17079,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17080,plain,
% 26.21/17.52 (((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))) <=> ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17081,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17080])).
% 26.21/17.52 tff(17082,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17081, 17079])).
% 26.21/17.52 tff(17083,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17084,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | (~v1(constB136)) | v101(constB136) | (~v102(constB136))),
% 26.21/17.52 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 26.21/17.52 tff(17085,plain,
% 26.21/17.52 (v101(constB136) | (~v102(constB136))),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17084, 617, 17055, 17078])).
% 26.21/17.52 tff(17086,plain,
% 26.21/17.52 (v101(constB136)),
% 26.21/17.52 inference(unit_resolution,[status(thm)],[17085, 17075])).
% 26.21/17.52 tff(17087,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17088,plain,
% 26.21/17.52 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 26.21/17.52 inference(rewrite,[status(thm)],[])).
% 26.21/17.52 tff(17089,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 26.21/17.52 inference(monotonicity,[status(thm)],[17088])).
% 26.21/17.52 tff(17090,plain,
% 26.21/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 26.21/17.52 inference(transitivity,[status(thm)],[17089, 17087])).
% 26.21/17.52 tff(17091,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 26.21/17.52 inference(quant_inst,[status(thm)],[])).
% 26.21/17.52 tff(17092,plain,
% 26.21/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17091, 17090])).
% 26.21/17.53 tff(17093,plain,
% 26.21/17.53 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17092, 635, 17055])).
% 26.21/17.53 tff(17094,plain,
% 26.21/17.53 (v100(constB136) | (~v110(constB136))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17093, 17086])).
% 26.21/17.53 tff(17095,plain,
% 26.21/17.53 (v100(constB136)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17094, 17063])).
% 26.21/17.53 tff(17096,plain,
% 26.21/17.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17097,plain,
% 26.21/17.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17098,plain,
% 26.21/17.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17097, 17096])).
% 26.21/17.53 tff(17099,plain,
% 26.21/17.53 (~v130(constB135, bitIndex2)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17098, 1005, 17001])).
% 26.21/17.53 tff(17100,plain,
% 26.21/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17101,plain,
% 26.21/17.53 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17102,plain,
% 26.21/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 26.21/17.53 inference(monotonicity,[status(thm)],[17101])).
% 26.21/17.53 tff(17103,plain,
% 26.21/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 26.21/17.53 inference(transitivity,[status(thm)],[17102, 17100])).
% 26.21/17.53 tff(17104,plain,
% 26.21/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17105,plain,
% 26.21/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 26.21/17.53 tff(17106,plain,
% 26.21/17.53 ((~v127(constB135, bitIndex2)) | v26(constB135)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17105, 665, 17099])).
% 26.21/17.53 tff(17107,plain,
% 26.21/17.53 (~v127(constB135, bitIndex2)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17106, 8476])).
% 26.21/17.53 tff(17108,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17109,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17110,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 26.21/17.53 tff(17111,plain,
% 26.21/17.53 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17110, 683, 17055])).
% 26.21/17.53 tff(17112,plain,
% 26.21/17.53 (~v129(constB136, bitIndex2)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17111, 17107])).
% 26.21/17.53 tff(17113,plain,
% 26.21/17.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17114,plain,
% 26.21/17.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17115,plain,
% 26.21/17.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 26.21/17.53 tff(17116,plain,
% 26.21/17.53 ((~v90(constB136, bitIndex2)) | (~v100(constB136))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17115, 698, 17112])).
% 26.21/17.53 tff(17117,plain,
% 26.21/17.53 (~v90(constB136, bitIndex2)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17116, 17095])).
% 26.21/17.53 tff(17118,plain,
% 26.21/17.53 ((~v1(constB137)) <=> (~v1(constB137))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17119,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 26.21/17.53 tff(17120,plain,
% 26.21/17.53 (~v1(constB137)),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17119, 17118])).
% 26.21/17.53 tff(17121,plain,
% 26.21/17.53 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17122,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 26.21/17.53 tff(17123,plain,
% 26.21/17.53 (nextState(constB136, constB137)),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 26.21/17.53 tff(17124,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17125,plain,
% 26.21/17.53 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17126,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 26.21/17.53 inference(monotonicity,[status(thm)],[17125])).
% 26.21/17.53 tff(17127,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 26.21/17.53 inference(transitivity,[status(thm)],[17126, 17124])).
% 26.21/17.53 tff(17128,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17129,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 26.21/17.53 tff(17130,plain,
% 26.21/17.53 (~v101(constB137)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17129, 342, 17123, 17120])).
% 26.21/17.53 tff(17131,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17132,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17133,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17132, 17131])).
% 26.21/17.53 tff(17134,plain,
% 26.21/17.53 (v101(constB137) | (~v100(constB137))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17133, 359, 17123])).
% 26.21/17.53 tff(17135,plain,
% 26.21/17.53 (~v100(constB137)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17134, 17130])).
% 26.21/17.53 tff(17136,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17137,plain,
% 26.21/17.53 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17138,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 26.21/17.53 inference(monotonicity,[status(thm)],[17137])).
% 26.21/17.53 tff(17139,plain,
% 26.21/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 26.21/17.53 inference(transitivity,[status(thm)],[17138, 17136])).
% 26.21/17.53 tff(17140,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 26.21/17.53 inference(quant_inst,[status(thm)],[])).
% 26.21/17.53 tff(17141,plain,
% 26.21/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 26.21/17.53 inference(modus_ponens,[status(thm)],[17140, 17139])).
% 26.21/17.53 tff(17142,plain,
% 26.21/17.53 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17141, 374, 17123])).
% 26.21/17.53 tff(17143,plain,
% 26.21/17.53 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17142, 17135])).
% 26.21/17.53 tff(17144,plain,
% 26.21/17.53 (~v90(constB137, bitIndex2)),
% 26.21/17.53 inference(unit_resolution,[status(thm)],[17143, 17117])).
% 26.21/17.53 tff(17145,plain,
% 26.21/17.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1))),
% 26.21/17.53 inference(rewrite,[status(thm)],[])).
% 26.21/17.53 tff(17146,plain,
% 26.21/17.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17147,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1)),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17146, 17145])).
% 26.27/17.53 tff(17148,plain,
% 26.27/17.53 (v130(constB135, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17147, 1061, 17001])).
% 26.27/17.53 tff(17149,plain,
% 26.27/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17150,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17151,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17150, 17149])).
% 26.27/17.53 tff(17152,plain,
% 26.27/17.53 (v26(constB135) | v127(constB135, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17151, 1075, 17148])).
% 26.27/17.53 tff(17153,plain,
% 26.27/17.53 (v127(constB135, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17152, 8476])).
% 26.27/17.53 tff(17154,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17155,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17156,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17155, 17154])).
% 26.27/17.53 tff(17157,plain,
% 26.27/17.53 ((~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17156, 1090, 17055])).
% 26.27/17.53 tff(17158,plain,
% 26.27/17.53 (v129(constB136, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17157, 17153])).
% 26.27/17.53 tff(17159,plain,
% 26.27/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17160,plain,
% 26.27/17.53 ((v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17161,plain,
% 26.27/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))))),
% 26.27/17.53 inference(monotonicity,[status(thm)],[17160])).
% 26.27/17.53 tff(17162,plain,
% 26.27/17.53 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 26.27/17.53 inference(transitivity,[status(thm)],[17161, 17159])).
% 26.27/17.53 tff(17163,plain,
% 26.27/17.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17164,plain,
% 26.27/17.53 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17163, 17162])).
% 26.27/17.53 tff(17165,plain,
% 26.27/17.53 (v90(constB136, bitIndex1) | (~v100(constB136))),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17164, 1105, 17158])).
% 26.27/17.53 tff(17166,plain,
% 26.27/17.53 (v90(constB136, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17165, 17095])).
% 26.27/17.53 tff(17167,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17168,plain,
% 26.27/17.53 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17169,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)))),
% 26.27/17.53 inference(monotonicity,[status(thm)],[17168])).
% 26.27/17.53 tff(17170,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 26.27/17.53 inference(transitivity,[status(thm)],[17169, 17167])).
% 26.27/17.53 tff(17171,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17172,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 26.27/17.53 tff(17173,plain,
% 26.27/17.53 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17172, 1123, 17123])).
% 26.27/17.53 tff(17174,plain,
% 26.27/17.53 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17173, 17135])).
% 26.27/17.53 tff(17175,plain,
% 26.27/17.53 (v90(constB137, bitIndex1)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17174, 17166])).
% 26.27/17.53 tff(17176,plain,
% 26.27/17.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17177,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17178,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0))),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17177, 17176])).
% 26.27/17.53 tff(17179,plain,
% 26.27/17.53 (~v130(constB135, bitIndex0)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17178, 1139, 17001])).
% 26.27/17.53 tff(17180,plain,
% 26.27/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17181,plain,
% 26.27/17.53 ((v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0))) <=> ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17182,plain,
% 26.27/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)))),
% 26.27/17.53 inference(monotonicity,[status(thm)],[17181])).
% 26.27/17.53 tff(17183,plain,
% 26.27/17.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 26.27/17.53 inference(transitivity,[status(thm)],[17182, 17180])).
% 26.27/17.53 tff(17184,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17185,plain,
% 26.27/17.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17184, 17183])).
% 26.27/17.53 tff(17186,plain,
% 26.27/17.53 ((~v127(constB135, bitIndex0)) | v26(constB135)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17185, 1153, 17179])).
% 26.27/17.53 tff(17187,plain,
% 26.27/17.53 (~v127(constB135, bitIndex0)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17186, 8476])).
% 26.27/17.53 tff(17188,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17189,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17190,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 26.27/17.53 tff(17191,plain,
% 26.27/17.53 (v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17190, 1171, 17055])).
% 26.27/17.53 tff(17192,plain,
% 26.27/17.53 (~v129(constB136, bitIndex0)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17191, 17187])).
% 26.27/17.53 tff(17193,plain,
% 26.27/17.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17194,plain,
% 26.27/17.53 (((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17195,plain,
% 26.27/17.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))))),
% 26.27/17.53 inference(monotonicity,[status(thm)],[17194])).
% 26.27/17.53 tff(17196,plain,
% 26.27/17.53 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 26.27/17.53 inference(transitivity,[status(thm)],[17195, 17193])).
% 26.27/17.53 tff(17197,plain,
% 26.27/17.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17198,plain,
% 26.27/17.53 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 26.27/17.53 tff(17199,plain,
% 26.27/17.53 ((~v90(constB136, bitIndex0)) | (~v100(constB136))),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17198, 1186, 17192])).
% 26.27/17.53 tff(17200,plain,
% 26.27/17.53 (~v90(constB136, bitIndex0)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17199, 17095])).
% 26.27/17.53 tff(17201,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17202,plain,
% 26.27/17.53 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.53 tff(17203,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))))),
% 26.27/17.53 inference(monotonicity,[status(thm)],[17202])).
% 26.27/17.53 tff(17204,plain,
% 26.27/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 26.27/17.53 inference(transitivity,[status(thm)],[17203, 17201])).
% 26.27/17.53 tff(17205,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 26.27/17.53 inference(quant_inst,[status(thm)],[])).
% 26.27/17.53 tff(17206,plain,
% 26.27/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 26.27/17.53 inference(modus_ponens,[status(thm)],[17205, 17204])).
% 26.27/17.53 tff(17207,plain,
% 26.27/17.53 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17206, 416, 17123])).
% 26.27/17.53 tff(17208,plain,
% 26.27/17.53 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17207, 17135])).
% 26.27/17.53 tff(17209,plain,
% 26.27/17.53 (~v90(constB137, bitIndex0)),
% 26.27/17.53 inference(unit_resolution,[status(thm)],[17208, 17200])).
% 26.27/17.53 tff(17210,plain,
% 26.27/17.53 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 26.27/17.53 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17211,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17212,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 26.27/17.54 tff(17213,plain,
% 26.27/17.54 (v121(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17212, 1213, 17209, 17175, 17144])).
% 26.27/17.54 tff(17214,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB137)) | v117(constB137))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17215,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17216,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB137)) | v117(constB137)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 26.27/17.54 tff(17217,plain,
% 26.27/17.54 (v117(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17216, 1224, 17213])).
% 26.27/17.54 tff(17218,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17219,plain,
% 26.27/17.54 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17220,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17219])).
% 26.27/17.54 tff(17221,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17220, 17218])).
% 26.27/17.54 tff(17222,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17223,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 26.27/17.54 tff(17224,plain,
% 26.27/17.54 (v116(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17223, 476, 17217])).
% 26.27/17.54 tff(17225,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB137)) | v115(constB137))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17226,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17227,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB137)) | v115(constB137)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 26.27/17.54 tff(17228,plain,
% 26.27/17.54 (v115(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17227, 490, 17224])).
% 26.27/17.54 tff(17229,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17230,plain,
% 26.27/17.54 (((~v115(constB137)) | v114(constB137)) <=> (v114(constB137) | (~v115(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17231,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17230])).
% 26.27/17.54 tff(17232,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17231, 17229])).
% 26.27/17.54 tff(17233,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17234,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 26.27/17.54 tff(17235,plain,
% 26.27/17.54 (v114(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17234, 504, 17228])).
% 26.27/17.54 tff(17236,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17237,plain,
% 26.27/17.54 (((~v114(constB137)) | v113(constB137)) <=> (v113(constB137) | (~v114(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17238,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17237])).
% 26.27/17.54 tff(17239,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17238, 17236])).
% 26.27/17.54 tff(17240,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17241,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 26.27/17.54 tff(17242,plain,
% 26.27/17.54 (v113(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17241, 518, 17235])).
% 26.27/17.54 tff(17243,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17244,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17245,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 26.27/17.54 tff(17246,plain,
% 26.27/17.54 (v26(constB137) | v112(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17245, 532, 17242])).
% 26.27/17.54 tff(17247,plain,
% 26.27/17.54 (v112(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17246, 8472])).
% 26.27/17.54 tff(17248,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17249,plain,
% 26.27/17.54 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17250,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17249])).
% 26.27/17.54 tff(17251,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17250, 17248])).
% 26.27/17.54 tff(17252,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17253,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17252, 17251])).
% 26.27/17.54 tff(17254,plain,
% 26.27/17.54 (v108(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17253, 544, 17247])).
% 26.27/17.54 tff(17255,plain,
% 26.27/17.54 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17256,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 26.27/17.54 tff(17257,plain,
% 26.27/17.54 (nextState(constB137, constB138)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 26.27/17.54 tff(17258,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17259,plain,
% 26.27/17.54 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17260,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17259])).
% 26.27/17.54 tff(17261,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17260, 17258])).
% 26.27/17.54 tff(17262,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17263,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17262, 17261])).
% 26.27/17.54 tff(17264,plain,
% 26.27/17.54 (v110(constB138) | (~v108(constB137))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17263, 564, 17257])).
% 26.27/17.54 tff(17265,plain,
% 26.27/17.54 (v110(constB138)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17264, 17254])).
% 26.27/17.54 tff(17266,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17267,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17268,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 26.27/17.54 tff(17269,plain,
% 26.27/17.54 (~v104(constB138)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17268, 582, 17257, 17120])).
% 26.27/17.54 tff(17270,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17271,plain,
% 26.27/17.54 (((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17272,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17271])).
% 26.27/17.54 tff(17273,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17272, 17270])).
% 26.27/17.54 tff(17274,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17275,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | v102(constB138)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 26.27/17.54 tff(17276,plain,
% 26.27/17.54 (v104(constB138) | v102(constB138)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17275, 596, 17257])).
% 26.27/17.54 tff(17277,plain,
% 26.27/17.54 (v102(constB138)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17276, 17269])).
% 26.27/17.54 tff(17278,plain,
% 26.27/17.54 (v1(constB138) <=> v1(constB138)),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17279,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 26.27/17.54 tff(17280,plain,
% 26.27/17.54 (v1(constB138)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 26.27/17.54 tff(17281,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17282,plain,
% 26.27/17.54 (((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))) <=> ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17283,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17282])).
% 26.27/17.54 tff(17284,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17283, 17281])).
% 26.27/17.54 tff(17285,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17286,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | (~v1(constB138)) | v101(constB138) | (~v102(constB138))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17285, 17284])).
% 26.27/17.54 tff(17287,plain,
% 26.27/17.54 (v101(constB138) | (~v102(constB138))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17286, 617, 17257, 17280])).
% 26.27/17.54 tff(17288,plain,
% 26.27/17.54 (v101(constB138)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17287, 17277])).
% 26.27/17.54 tff(17289,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17290,plain,
% 26.27/17.54 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17291,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17290])).
% 26.27/17.54 tff(17292,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17291, 17289])).
% 26.27/17.54 tff(17293,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17294,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 26.27/17.54 tff(17295,plain,
% 26.27/17.54 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17294, 635, 17257])).
% 26.27/17.54 tff(17296,plain,
% 26.27/17.54 (v100(constB138) | (~v110(constB138))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17295, 17288])).
% 26.27/17.54 tff(17297,plain,
% 26.27/17.54 (v100(constB138)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17296, 17265])).
% 26.27/17.54 tff(17298,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17299,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17300,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 26.27/17.54 tff(17301,plain,
% 26.27/17.54 (~v130(constB137, bitIndex2)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17300, 1325, 17213])).
% 26.27/17.54 tff(17302,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17303,plain,
% 26.27/17.54 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17304,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17303])).
% 26.27/17.54 tff(17305,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17304, 17302])).
% 26.27/17.54 tff(17306,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17307,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 26.27/17.54 tff(17308,plain,
% 26.27/17.54 ((~v127(constB137, bitIndex2)) | v26(constB137)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17307, 665, 17301])).
% 26.27/17.54 tff(17309,plain,
% 26.27/17.54 (~v127(constB137, bitIndex2)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17308, 8472])).
% 26.27/17.54 tff(17310,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17311,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17312,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17311, 17310])).
% 26.27/17.54 tff(17313,plain,
% 26.27/17.54 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17312, 683, 17257])).
% 26.27/17.54 tff(17314,plain,
% 26.27/17.54 (~v129(constB138, bitIndex2)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17313, 17309])).
% 26.27/17.54 tff(17315,plain,
% 26.27/17.54 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17316,plain,
% 26.27/17.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17317,plain,
% 26.27/17.54 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 26.27/17.54 tff(17318,plain,
% 26.27/17.54 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17317, 698, 17314])).
% 26.27/17.54 tff(17319,plain,
% 26.27/17.54 (~v90(constB138, bitIndex2)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17318, 17297])).
% 26.27/17.54 tff(17320,plain,
% 26.27/17.54 ((~v1(constB139)) <=> (~v1(constB139))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17321,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 26.27/17.54 tff(17322,plain,
% 26.27/17.54 (~v1(constB139)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 26.27/17.54 tff(17323,plain,
% 26.27/17.54 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17324,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 26.27/17.54 tff(17325,plain,
% 26.27/17.54 (nextState(constB138, constB139)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17324, 17323])).
% 26.27/17.54 tff(17326,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17327,plain,
% 26.27/17.54 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17328,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17327])).
% 26.27/17.54 tff(17329,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17328, 17326])).
% 26.27/17.54 tff(17330,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17331,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 26.27/17.54 tff(17332,plain,
% 26.27/17.54 (~v101(constB139)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17331, 342, 17325, 17322])).
% 26.27/17.54 tff(17333,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17334,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17335,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17334, 17333])).
% 26.27/17.54 tff(17336,plain,
% 26.27/17.54 (v101(constB139) | (~v100(constB139))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17335, 359, 17325])).
% 26.27/17.54 tff(17337,plain,
% 26.27/17.54 (~v100(constB139)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17336, 17332])).
% 26.27/17.54 tff(17338,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17339,plain,
% 26.27/17.54 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17340,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 26.27/17.54 inference(monotonicity,[status(thm)],[17339])).
% 26.27/17.54 tff(17341,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 26.27/17.54 inference(transitivity,[status(thm)],[17340, 17338])).
% 26.27/17.54 tff(17342,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17343,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 26.27/17.54 tff(17344,plain,
% 26.27/17.54 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17343, 374, 17325])).
% 26.27/17.54 tff(17345,plain,
% 26.27/17.54 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17344, 17337])).
% 26.27/17.54 tff(17346,plain,
% 26.27/17.54 (~v90(constB139, bitIndex2)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17345, 17319])).
% 26.27/17.54 tff(17347,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17348,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17349,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 26.27/17.54 tff(17350,plain,
% 26.27/17.54 (v130(constB137, bitIndex1)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17349, 1375, 17213])).
% 26.27/17.54 tff(17351,plain,
% 26.27/17.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17352,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17353,plain,
% 26.27/17.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 26.27/17.54 tff(17354,plain,
% 26.27/17.54 (v26(constB137) | v127(constB137, bitIndex1)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17353, 1075, 17350])).
% 26.27/17.54 tff(17355,plain,
% 26.27/17.54 (v127(constB137, bitIndex1)),
% 26.27/17.54 inference(unit_resolution,[status(thm)],[17354, 8472])).
% 26.27/17.54 tff(17356,plain,
% 26.27/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 26.27/17.54 inference(rewrite,[status(thm)],[])).
% 26.27/17.54 tff(17357,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 26.27/17.54 inference(quant_inst,[status(thm)],[])).
% 26.27/17.54 tff(17358,plain,
% 26.27/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 26.27/17.54 inference(modus_ponens,[status(thm)],[17357, 17356])).
% 26.27/17.54 tff(17359,plain,
% 26.27/17.54 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17358, 1090, 17257])).
% 26.27/17.55 tff(17360,plain,
% 26.27/17.55 (v129(constB138, bitIndex1)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17359, 17355])).
% 26.27/17.55 tff(17361,plain,
% 26.27/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17362,plain,
% 26.27/17.55 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17363,plain,
% 26.27/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17362])).
% 26.27/17.55 tff(17364,plain,
% 26.27/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17363, 17361])).
% 26.27/17.55 tff(17365,plain,
% 26.27/17.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17366,plain,
% 26.27/17.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 26.27/17.55 tff(17367,plain,
% 26.27/17.55 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17366, 1105, 17360])).
% 26.27/17.55 tff(17368,plain,
% 26.27/17.55 (v90(constB138, bitIndex1)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17367, 17297])).
% 26.27/17.55 tff(17369,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17370,plain,
% 26.27/17.55 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17371,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17370])).
% 26.27/17.55 tff(17372,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17371, 17369])).
% 26.27/17.55 tff(17373,plain,
% 26.27/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17374,plain,
% 26.27/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 26.27/17.55 tff(17375,plain,
% 26.27/17.55 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17374, 1123, 17325])).
% 26.27/17.55 tff(17376,plain,
% 26.27/17.55 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17375, 17337])).
% 26.27/17.55 tff(17377,plain,
% 26.27/17.55 (v90(constB139, bitIndex1)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17376, 17368])).
% 26.27/17.55 tff(17378,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17379,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17380,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17379, 17378])).
% 26.27/17.55 tff(17381,plain,
% 26.27/17.55 (v130(constB137, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17380, 1413, 17213])).
% 26.27/17.55 tff(17382,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17383,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17384,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17383, 17382])).
% 26.27/17.55 tff(17385,plain,
% 26.27/17.55 (v26(constB137) | v127(constB137, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17384, 822, 17381])).
% 26.27/17.55 tff(17386,plain,
% 26.27/17.55 (v127(constB137, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17385, 8472])).
% 26.27/17.55 tff(17387,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17388,plain,
% 26.27/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17389,plain,
% 26.27/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 26.27/17.55 tff(17390,plain,
% 26.27/17.55 ((~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17389, 837, 17257])).
% 26.27/17.55 tff(17391,plain,
% 26.27/17.55 (v129(constB138, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17390, 17386])).
% 26.27/17.55 tff(17392,plain,
% 26.27/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17393,plain,
% 26.27/17.55 ((v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17394,plain,
% 26.27/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17393])).
% 26.27/17.55 tff(17395,plain,
% 26.27/17.55 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17394, 17392])).
% 26.27/17.55 tff(17396,plain,
% 26.27/17.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17397,plain,
% 26.27/17.55 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17396, 17395])).
% 26.27/17.55 tff(17398,plain,
% 26.27/17.55 (v90(constB138, bitIndex0) | (~v100(constB138))),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17397, 852, 17391])).
% 26.27/17.55 tff(17399,plain,
% 26.27/17.55 (v90(constB138, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17398, 17297])).
% 26.27/17.55 tff(17400,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17401,plain,
% 26.27/17.55 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17402,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17401])).
% 26.27/17.55 tff(17403,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17402, 17400])).
% 26.27/17.55 tff(17404,plain,
% 26.27/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17405,plain,
% 26.27/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17404, 17403])).
% 26.27/17.55 tff(17406,plain,
% 26.27/17.55 ((~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17405, 870, 17325])).
% 26.27/17.55 tff(17407,plain,
% 26.27/17.55 ((~v90(constB138, bitIndex0)) | v90(constB139, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17406, 17337])).
% 26.27/17.55 tff(17408,plain,
% 26.27/17.55 (v90(constB139, bitIndex0)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17407, 17399])).
% 26.27/17.55 tff(17409,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17410,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17411,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17410, 17409])).
% 26.27/17.55 tff(17412,plain,
% 26.27/17.55 (v122(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17411, 1454, 17408, 17377, 17346])).
% 26.27/17.55 tff(17413,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB139)) | v116(constB139))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17414,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17415,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB139)) | v116(constB139)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17414, 17413])).
% 26.27/17.55 tff(17416,plain,
% 26.27/17.55 (v116(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17415, 1465, 17412])).
% 26.27/17.55 tff(17417,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17418,plain,
% 26.27/17.55 (((~v116(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v116(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17419,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139))))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17418])).
% 26.27/17.55 tff(17420,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17419, 17417])).
% 26.27/17.55 tff(17421,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17422,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139))),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17421, 17420])).
% 26.27/17.55 tff(17423,plain,
% 26.27/17.55 (v115(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17422, 490, 17416])).
% 26.27/17.55 tff(17424,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB139)) | v114(constB139))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17425,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17426,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB139)) | v114(constB139)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 26.27/17.55 tff(17427,plain,
% 26.27/17.55 (v114(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17426, 504, 17423])).
% 26.27/17.55 tff(17428,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17429,plain,
% 26.27/17.55 (((~v114(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v114(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17430,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139))))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17429])).
% 26.27/17.55 tff(17431,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17430, 17428])).
% 26.27/17.55 tff(17432,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17433,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139))),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 26.27/17.55 tff(17434,plain,
% 26.27/17.55 (v113(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17433, 518, 17427])).
% 26.27/17.55 tff(17435,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17436,plain,
% 26.27/17.55 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17437,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17436])).
% 26.27/17.55 tff(17438,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17437, 17435])).
% 26.27/17.55 tff(17439,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17440,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 26.27/17.55 tff(17441,plain,
% 26.27/17.55 (v26(constB139) | v112(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17440, 532, 17434])).
% 26.27/17.55 tff(17442,plain,
% 26.27/17.55 (v112(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17441, 8468])).
% 26.27/17.55 tff(17443,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17444,plain,
% 26.27/17.55 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17445,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 26.27/17.55 inference(monotonicity,[status(thm)],[17444])).
% 26.27/17.55 tff(17446,plain,
% 26.27/17.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 26.27/17.55 inference(transitivity,[status(thm)],[17445, 17443])).
% 26.27/17.55 tff(17447,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 26.27/17.55 inference(quant_inst,[status(thm)],[])).
% 26.27/17.55 tff(17448,plain,
% 26.27/17.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17447, 17446])).
% 26.27/17.55 tff(17449,plain,
% 26.27/17.55 (v108(constB139)),
% 26.27/17.55 inference(unit_resolution,[status(thm)],[17448, 544, 17442])).
% 26.27/17.55 tff(17450,plain,
% 26.27/17.55 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 26.27/17.55 inference(rewrite,[status(thm)],[])).
% 26.27/17.55 tff(17451,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 26.27/17.55 tff(17452,plain,
% 26.27/17.55 (nextState(constB139, constB140)),
% 26.27/17.55 inference(modus_ponens,[status(thm)],[17451, 17450])).
% 26.27/17.55 tff(17453,plain,
% 26.27/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17454,plain,
% 26.29/17.55 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17455,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 26.29/17.55 inference(monotonicity,[status(thm)],[17454])).
% 26.29/17.55 tff(17456,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 26.29/17.55 inference(transitivity,[status(thm)],[17455, 17453])).
% 26.29/17.55 tff(17457,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 26.29/17.55 inference(quant_inst,[status(thm)],[])).
% 26.29/17.55 tff(17458,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 26.29/17.55 inference(modus_ponens,[status(thm)],[17457, 17456])).
% 26.29/17.55 tff(17459,plain,
% 26.29/17.55 (v110(constB140) | (~v108(constB139))),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17458, 564, 17452])).
% 26.29/17.55 tff(17460,plain,
% 26.29/17.55 (v110(constB140)),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17459, 17449])).
% 26.29/17.55 tff(17461,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17462,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 26.29/17.55 inference(quant_inst,[status(thm)],[])).
% 26.29/17.55 tff(17463,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 26.29/17.55 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 26.29/17.55 tff(17464,plain,
% 26.29/17.55 (~v104(constB140)),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17463, 582, 17452, 17322])).
% 26.29/17.55 tff(17465,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17466,plain,
% 26.29/17.55 (((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17467,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)))),
% 26.29/17.55 inference(monotonicity,[status(thm)],[17466])).
% 26.29/17.55 tff(17468,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140))),
% 26.29/17.55 inference(transitivity,[status(thm)],[17467, 17465])).
% 26.29/17.55 tff(17469,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 26.29/17.55 inference(quant_inst,[status(thm)],[])).
% 26.29/17.55 tff(17470,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | v102(constB140)),
% 26.29/17.55 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 26.29/17.55 tff(17471,plain,
% 26.29/17.55 (v104(constB140) | v102(constB140)),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17470, 596, 17452])).
% 26.29/17.55 tff(17472,plain,
% 26.29/17.55 (v102(constB140)),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17471, 17464])).
% 26.29/17.55 tff(17473,plain,
% 26.29/17.55 (v1(constB140) <=> v1(constB140)),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17474,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 26.29/17.55 tff(17475,plain,
% 26.29/17.55 (v1(constB140)),
% 26.29/17.55 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 26.29/17.55 tff(17476,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17477,plain,
% 26.29/17.55 (((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))) <=> ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17478,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))))),
% 26.29/17.55 inference(monotonicity,[status(thm)],[17477])).
% 26.29/17.55 tff(17479,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140)))),
% 26.29/17.55 inference(transitivity,[status(thm)],[17478, 17476])).
% 26.29/17.55 tff(17480,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 26.29/17.55 inference(quant_inst,[status(thm)],[])).
% 26.29/17.55 tff(17481,plain,
% 26.29/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | (~v1(constB140)) | v101(constB140) | (~v102(constB140))),
% 26.29/17.55 inference(modus_ponens,[status(thm)],[17480, 17479])).
% 26.29/17.55 tff(17482,plain,
% 26.29/17.55 (v101(constB140) | (~v102(constB140))),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17481, 617, 17452, 17475])).
% 26.29/17.55 tff(17483,plain,
% 26.29/17.55 (v101(constB140)),
% 26.29/17.55 inference(unit_resolution,[status(thm)],[17482, 17472])).
% 26.29/17.55 tff(17484,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17485,plain,
% 26.29/17.55 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 26.29/17.55 inference(rewrite,[status(thm)],[])).
% 26.29/17.55 tff(17486,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 26.29/17.55 inference(monotonicity,[status(thm)],[17485])).
% 26.29/17.55 tff(17487,plain,
% 26.29/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17486, 17484])).
% 26.29/17.56 tff(17488,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17489,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17488, 17487])).
% 26.29/17.56 tff(17490,plain,
% 26.29/17.56 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17489, 635, 17452])).
% 26.29/17.56 tff(17491,plain,
% 26.29/17.56 (v100(constB140) | (~v110(constB140))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17490, 17483])).
% 26.29/17.56 tff(17492,plain,
% 26.29/17.56 (v100(constB140)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17491, 17460])).
% 26.29/17.56 tff(17493,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17494,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17495,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17494, 17493])).
% 26.29/17.56 tff(17496,plain,
% 26.29/17.56 (v130(constB139, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17495, 1546, 17412])).
% 26.29/17.56 tff(17497,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17498,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17499,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 26.29/17.56 tff(17500,plain,
% 26.29/17.56 (v26(constB139) | v127(constB139, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17499, 1560, 17496])).
% 26.29/17.56 tff(17501,plain,
% 26.29/17.56 (v127(constB139, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17500, 8468])).
% 26.29/17.56 tff(17502,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17503,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17504,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17503, 17502])).
% 26.29/17.56 tff(17505,plain,
% 26.29/17.56 ((~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17504, 1575, 17452])).
% 26.29/17.56 tff(17506,plain,
% 26.29/17.56 (v129(constB140, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17505, 17501])).
% 26.29/17.56 tff(17507,plain,
% 26.29/17.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17508,plain,
% 26.29/17.56 ((v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17509,plain,
% 26.29/17.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17508])).
% 26.29/17.56 tff(17510,plain,
% 26.29/17.56 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17509, 17507])).
% 26.29/17.56 tff(17511,plain,
% 26.29/17.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17512,plain,
% 26.29/17.56 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17511, 17510])).
% 26.29/17.56 tff(17513,plain,
% 26.29/17.56 (v90(constB140, bitIndex2) | (~v100(constB140))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17512, 1590, 17506])).
% 26.29/17.56 tff(17514,plain,
% 26.29/17.56 (v90(constB140, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17513, 17492])).
% 26.29/17.56 tff(17515,plain,
% 26.29/17.56 ((~v1(constB141)) <=> (~v1(constB141))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17516,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 26.29/17.56 tff(17517,plain,
% 26.29/17.56 (~v1(constB141)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 26.29/17.56 tff(17518,plain,
% 26.29/17.56 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17519,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 26.29/17.56 tff(17520,plain,
% 26.29/17.56 (nextState(constB140, constB141)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 26.29/17.56 tff(17521,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17522,plain,
% 26.29/17.56 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17523,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17522])).
% 26.29/17.56 tff(17524,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17523, 17521])).
% 26.29/17.56 tff(17525,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17526,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17525, 17524])).
% 26.29/17.56 tff(17527,plain,
% 26.29/17.56 (~v101(constB141)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17526, 342, 17520, 17517])).
% 26.29/17.56 tff(17528,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17529,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17530,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17529, 17528])).
% 26.29/17.56 tff(17531,plain,
% 26.29/17.56 (v101(constB141) | (~v100(constB141))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17530, 359, 17520])).
% 26.29/17.56 tff(17532,plain,
% 26.29/17.56 (~v100(constB141)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17531, 17527])).
% 26.29/17.56 tff(17533,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17534,plain,
% 26.29/17.56 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17535,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17534])).
% 26.29/17.56 tff(17536,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17535, 17533])).
% 26.29/17.56 tff(17537,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17538,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 26.29/17.56 tff(17539,plain,
% 26.29/17.56 ((~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17538, 1626, 17520])).
% 26.29/17.56 tff(17540,plain,
% 26.29/17.56 ((~v90(constB140, bitIndex2)) | v90(constB141, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17539, 17532])).
% 26.29/17.56 tff(17541,plain,
% 26.29/17.56 (v90(constB141, bitIndex2)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17540, 17514])).
% 26.29/17.56 tff(17542,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17543,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17544,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17543, 17542])).
% 26.29/17.56 tff(17545,plain,
% 26.29/17.56 (~v130(constB139, bitIndex1)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17544, 1642, 17412])).
% 26.29/17.56 tff(17546,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17547,plain,
% 26.29/17.56 ((v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1))) <=> ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17548,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17547])).
% 26.29/17.56 tff(17549,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17548, 17546])).
% 26.29/17.56 tff(17550,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17551,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17550, 17549])).
% 26.29/17.56 tff(17552,plain,
% 26.29/17.56 ((~v127(constB139, bitIndex1)) | v26(constB139)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17551, 751, 17545])).
% 26.29/17.56 tff(17553,plain,
% 26.29/17.56 (~v127(constB139, bitIndex1)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17552, 8468])).
% 26.29/17.56 tff(17554,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17555,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17556,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17555, 17554])).
% 26.29/17.56 tff(17557,plain,
% 26.29/17.56 (v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17556, 769, 17452])).
% 26.29/17.56 tff(17558,plain,
% 26.29/17.56 (~v129(constB140, bitIndex1)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17557, 17553])).
% 26.29/17.56 tff(17559,plain,
% 26.29/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17560,plain,
% 26.29/17.56 (((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17561,plain,
% 26.29/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17560])).
% 26.29/17.56 tff(17562,plain,
% 26.29/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17561, 17559])).
% 26.29/17.56 tff(17563,plain,
% 26.29/17.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17564,plain,
% 26.29/17.56 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 26.29/17.56 tff(17565,plain,
% 26.29/17.56 ((~v90(constB140, bitIndex1)) | (~v100(constB140))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17564, 784, 17558])).
% 26.29/17.56 tff(17566,plain,
% 26.29/17.56 (~v90(constB140, bitIndex1)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17565, 17492])).
% 26.29/17.56 tff(17567,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17568,plain,
% 26.29/17.56 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17569,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17568])).
% 26.29/17.56 tff(17570,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17569, 17567])).
% 26.29/17.56 tff(17571,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17572,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 26.29/17.56 tff(17573,plain,
% 26.29/17.56 (v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17572, 395, 17520])).
% 26.29/17.56 tff(17574,plain,
% 26.29/17.56 (v90(constB140, bitIndex1) | (~v90(constB141, bitIndex1))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17573, 17532])).
% 26.29/17.56 tff(17575,plain,
% 26.29/17.56 (~v90(constB141, bitIndex1)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17574, 17566])).
% 26.29/17.56 tff(17576,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17577,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17578,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 26.29/17.56 tff(17579,plain,
% 26.29/17.56 (~v130(constB139, bitIndex0)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17578, 1683, 17412])).
% 26.29/17.56 tff(17580,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17581,plain,
% 26.29/17.56 ((v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0))) <=> ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17582,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)))),
% 26.29/17.56 inference(monotonicity,[status(thm)],[17581])).
% 26.29/17.56 tff(17583,plain,
% 26.29/17.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 26.29/17.56 inference(transitivity,[status(thm)],[17582, 17580])).
% 26.29/17.56 tff(17584,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17585,plain,
% 26.29/17.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17584, 17583])).
% 26.29/17.56 tff(17586,plain,
% 26.29/17.56 ((~v127(constB139, bitIndex0)) | v26(constB139)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17585, 1153, 17579])).
% 26.29/17.56 tff(17587,plain,
% 26.29/17.56 (~v127(constB139, bitIndex0)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17586, 8468])).
% 26.29/17.56 tff(17588,plain,
% 26.29/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17589,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 26.29/17.56 inference(quant_inst,[status(thm)],[])).
% 26.29/17.56 tff(17590,plain,
% 26.29/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 26.29/17.56 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 26.29/17.56 tff(17591,plain,
% 26.29/17.56 (v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17590, 1171, 17452])).
% 26.29/17.56 tff(17592,plain,
% 26.29/17.56 (~v129(constB140, bitIndex0)),
% 26.29/17.56 inference(unit_resolution,[status(thm)],[17591, 17587])).
% 26.29/17.56 tff(17593,plain,
% 26.29/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17594,plain,
% 26.29/17.56 (((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 26.29/17.56 inference(rewrite,[status(thm)],[])).
% 26.29/17.56 tff(17595,plain,
% 26.29/17.56 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17594])).
% 26.29/17.57 tff(17596,plain,
% 26.29/17.57 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17595, 17593])).
% 26.29/17.57 tff(17597,plain,
% 26.29/17.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17598,plain,
% 26.29/17.57 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 26.29/17.57 tff(17599,plain,
% 26.29/17.57 ((~v90(constB140, bitIndex0)) | (~v100(constB140))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17598, 1186, 17592])).
% 26.29/17.57 tff(17600,plain,
% 26.29/17.57 (~v90(constB140, bitIndex0)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17599, 17492])).
% 26.29/17.57 tff(17601,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17602,plain,
% 26.29/17.57 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17603,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17602])).
% 26.29/17.57 tff(17604,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17603, 17601])).
% 26.29/17.57 tff(17605,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17606,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 26.29/17.57 tff(17607,plain,
% 26.29/17.57 (v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17606, 416, 17520])).
% 26.29/17.57 tff(17608,plain,
% 26.29/17.57 (v90(constB140, bitIndex0) | (~v90(constB141, bitIndex0))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17607, 17532])).
% 26.29/17.57 tff(17609,plain,
% 26.29/17.57 (~v90(constB141, bitIndex0)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17608, 17600])).
% 26.29/17.57 tff(17610,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17611,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17612,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17611, 17610])).
% 26.29/17.57 tff(17613,plain,
% 26.29/17.57 (v123(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17612, 1727, 17609, 17575, 17541])).
% 26.29/17.57 tff(17614,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17615,plain,
% 26.29/17.57 (((~v123(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v123(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17616,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17615])).
% 26.29/17.57 tff(17617,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17616, 17614])).
% 26.29/17.57 tff(17618,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17619,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 26.29/17.57 tff(17620,plain,
% 26.29/17.57 (v115(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17619, 1784, 17613])).
% 26.29/17.57 tff(17621,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17622,plain,
% 26.29/17.57 (((~v115(constB141)) | v114(constB141)) <=> (v114(constB141) | (~v115(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17623,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17622])).
% 26.29/17.57 tff(17624,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17623, 17621])).
% 26.29/17.57 tff(17625,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17626,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 26.29/17.57 tff(17627,plain,
% 26.29/17.57 (v114(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17626, 504, 17620])).
% 26.29/17.57 tff(17628,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17629,plain,
% 26.29/17.57 (((~v114(constB141)) | v113(constB141)) <=> (v113(constB141) | (~v114(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17630,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17629])).
% 26.29/17.57 tff(17631,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17630, 17628])).
% 26.29/17.57 tff(17632,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17633,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 26.29/17.57 tff(17634,plain,
% 26.29/17.57 (v113(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17633, 518, 17627])).
% 26.29/17.57 tff(17635,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17636,plain,
% 26.29/17.57 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17637,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17636])).
% 26.29/17.57 tff(17638,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17637, 17635])).
% 26.29/17.57 tff(17639,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17640,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 26.29/17.57 tff(17641,plain,
% 26.29/17.57 (v26(constB141) | v112(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17640, 532, 17634])).
% 26.29/17.57 tff(17642,plain,
% 26.29/17.57 (v112(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17641, 8464])).
% 26.29/17.57 tff(17643,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17644,plain,
% 26.29/17.57 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17645,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17644])).
% 26.29/17.57 tff(17646,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17645, 17643])).
% 26.29/17.57 tff(17647,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17648,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17647, 17646])).
% 26.29/17.57 tff(17649,plain,
% 26.29/17.57 (v108(constB141)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17648, 544, 17642])).
% 26.29/17.57 tff(17650,plain,
% 26.29/17.57 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17651,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 26.29/17.57 tff(17652,plain,
% 26.29/17.57 (nextState(constB141, constB142)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17651, 17650])).
% 26.29/17.57 tff(17653,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17654,plain,
% 26.29/17.57 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17655,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17654])).
% 26.29/17.57 tff(17656,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17655, 17653])).
% 26.29/17.57 tff(17657,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17658,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17657, 17656])).
% 26.29/17.57 tff(17659,plain,
% 26.29/17.57 (v110(constB142) | (~v108(constB141))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17658, 564, 17652])).
% 26.29/17.57 tff(17660,plain,
% 26.29/17.57 (v110(constB142)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17659, 17649])).
% 26.29/17.57 tff(17661,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17662,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17663,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17662, 17661])).
% 26.29/17.57 tff(17664,plain,
% 26.29/17.57 (~v104(constB142)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17663, 582, 17652, 17517])).
% 26.29/17.57 tff(17665,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17666,plain,
% 26.29/17.57 (((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17667,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17666])).
% 26.29/17.57 tff(17668,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17667, 17665])).
% 26.29/17.57 tff(17669,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17670,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | v102(constB142)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 26.29/17.57 tff(17671,plain,
% 26.29/17.57 (v104(constB142) | v102(constB142)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17670, 596, 17652])).
% 26.29/17.57 tff(17672,plain,
% 26.29/17.57 (v102(constB142)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17671, 17664])).
% 26.29/17.57 tff(17673,plain,
% 26.29/17.57 (v1(constB142) <=> v1(constB142)),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17674,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 26.29/17.57 tff(17675,plain,
% 26.29/17.57 (v1(constB142)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17674, 17673])).
% 26.29/17.57 tff(17676,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17677,plain,
% 26.29/17.57 (((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))) <=> ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17678,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17677])).
% 26.29/17.57 tff(17679,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17678, 17676])).
% 26.29/17.57 tff(17680,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17681,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | (~v1(constB142)) | v101(constB142) | (~v102(constB142))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17680, 17679])).
% 26.29/17.57 tff(17682,plain,
% 26.29/17.57 (v101(constB142) | (~v102(constB142))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17681, 617, 17652, 17675])).
% 26.29/17.57 tff(17683,plain,
% 26.29/17.57 (v101(constB142)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17682, 17672])).
% 26.29/17.57 tff(17684,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17685,plain,
% 26.29/17.57 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17686,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17685])).
% 26.29/17.57 tff(17687,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17686, 17684])).
% 26.29/17.57 tff(17688,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17689,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 26.29/17.57 tff(17690,plain,
% 26.29/17.57 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17689, 635, 17652])).
% 26.29/17.57 tff(17691,plain,
% 26.29/17.57 (v100(constB142) | (~v110(constB142))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17690, 17683])).
% 26.29/17.57 tff(17692,plain,
% 26.29/17.57 (v100(constB142)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17691, 17660])).
% 26.29/17.57 tff(17693,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17694,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17695,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17694, 17693])).
% 26.29/17.57 tff(17696,plain,
% 26.29/17.57 (v130(constB141, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17695, 1738, 17613])).
% 26.29/17.57 tff(17697,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17698,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17699,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 26.29/17.57 tff(17700,plain,
% 26.29/17.57 (v26(constB141) | v127(constB141, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17699, 1560, 17696])).
% 26.29/17.57 tff(17701,plain,
% 26.29/17.57 (v127(constB141, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17700, 8464])).
% 26.29/17.57 tff(17702,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17703,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17704,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17703, 17702])).
% 26.29/17.57 tff(17705,plain,
% 26.29/17.57 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17704, 1575, 17652])).
% 26.29/17.57 tff(17706,plain,
% 26.29/17.57 (v129(constB142, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17705, 17701])).
% 26.29/17.57 tff(17707,plain,
% 26.29/17.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17708,plain,
% 26.29/17.57 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17709,plain,
% 26.29/17.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17708])).
% 26.29/17.57 tff(17710,plain,
% 26.29/17.57 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17709, 17707])).
% 26.29/17.57 tff(17711,plain,
% 26.29/17.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17712,plain,
% 26.29/17.57 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17711, 17710])).
% 26.29/17.57 tff(17713,plain,
% 26.29/17.57 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17712, 1590, 17706])).
% 26.29/17.57 tff(17714,plain,
% 26.29/17.57 (v90(constB142, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17713, 17692])).
% 26.29/17.57 tff(17715,plain,
% 26.29/17.57 ((~v1(constB143)) <=> (~v1(constB143))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17716,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 26.29/17.57 tff(17717,plain,
% 26.29/17.57 (~v1(constB143)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 26.29/17.57 tff(17718,plain,
% 26.29/17.57 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17719,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 26.29/17.57 tff(17720,plain,
% 26.29/17.57 (nextState(constB142, constB143)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17719, 17718])).
% 26.29/17.57 tff(17721,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17722,plain,
% 26.29/17.57 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17723,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17722])).
% 26.29/17.57 tff(17724,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17723, 17721])).
% 26.29/17.57 tff(17725,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17726,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17725, 17724])).
% 26.29/17.57 tff(17727,plain,
% 26.29/17.57 (~v101(constB143)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17726, 342, 17720, 17717])).
% 26.29/17.57 tff(17728,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17729,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17730,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17729, 17728])).
% 26.29/17.57 tff(17731,plain,
% 26.29/17.57 (v101(constB143) | (~v100(constB143))),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17730, 359, 17720])).
% 26.29/17.57 tff(17732,plain,
% 26.29/17.57 (~v100(constB143)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17731, 17727])).
% 26.29/17.57 tff(17733,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17734,plain,
% 26.29/17.57 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17735,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 26.29/17.57 inference(monotonicity,[status(thm)],[17734])).
% 26.29/17.57 tff(17736,plain,
% 26.29/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 26.29/17.57 inference(transitivity,[status(thm)],[17735, 17733])).
% 26.29/17.57 tff(17737,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17738,plain,
% 26.29/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 26.29/17.57 tff(17739,plain,
% 26.29/17.57 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17738, 1626, 17720])).
% 26.29/17.57 tff(17740,plain,
% 26.29/17.57 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17739, 17732])).
% 26.29/17.57 tff(17741,plain,
% 26.29/17.57 (v90(constB143, bitIndex2)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17740, 17714])).
% 26.29/17.57 tff(17742,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17743,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 26.29/17.57 inference(quant_inst,[status(thm)],[])).
% 26.29/17.57 tff(17744,plain,
% 26.29/17.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1))),
% 26.29/17.57 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 26.29/17.57 tff(17745,plain,
% 26.29/17.57 (~v130(constB141, bitIndex1)),
% 26.29/17.57 inference(unit_resolution,[status(thm)],[17744, 1893, 17613])).
% 26.29/17.57 tff(17746,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17747,plain,
% 26.29/17.57 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 26.29/17.57 inference(rewrite,[status(thm)],[])).
% 26.29/17.57 tff(17748,plain,
% 26.29/17.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17747])).
% 26.29/17.58 tff(17749,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17748, 17746])).
% 26.29/17.58 tff(17750,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17751,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 26.29/17.58 tff(17752,plain,
% 26.29/17.58 ((~v127(constB141, bitIndex1)) | v26(constB141)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17751, 751, 17745])).
% 26.29/17.58 tff(17753,plain,
% 26.29/17.58 (~v127(constB141, bitIndex1)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17752, 8464])).
% 26.29/17.58 tff(17754,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17755,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17756,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17755, 17754])).
% 26.29/17.58 tff(17757,plain,
% 26.29/17.58 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17756, 769, 17652])).
% 26.29/17.58 tff(17758,plain,
% 26.29/17.58 (~v129(constB142, bitIndex1)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17757, 17753])).
% 26.29/17.58 tff(17759,plain,
% 26.29/17.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17760,plain,
% 26.29/17.58 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17761,plain,
% 26.29/17.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17760])).
% 26.29/17.58 tff(17762,plain,
% 26.29/17.58 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17761, 17759])).
% 26.29/17.58 tff(17763,plain,
% 26.29/17.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17764,plain,
% 26.29/17.58 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17763, 17762])).
% 26.29/17.58 tff(17765,plain,
% 26.29/17.58 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17764, 784, 17758])).
% 26.29/17.58 tff(17766,plain,
% 26.29/17.58 (~v90(constB142, bitIndex1)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17765, 17692])).
% 26.29/17.58 tff(17767,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17768,plain,
% 26.29/17.58 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17769,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17768])).
% 26.29/17.58 tff(17770,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17769, 17767])).
% 26.29/17.58 tff(17771,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17772,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 26.29/17.58 tff(17773,plain,
% 26.29/17.58 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17772, 395, 17720])).
% 26.29/17.58 tff(17774,plain,
% 26.29/17.58 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17773, 17732])).
% 26.29/17.58 tff(17775,plain,
% 26.29/17.58 (~v90(constB143, bitIndex1)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17774, 17766])).
% 26.29/17.58 tff(17776,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17777,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17778,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 26.29/17.58 tff(17779,plain,
% 26.29/17.58 (v130(constB141, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17778, 1934, 17613])).
% 26.29/17.58 tff(17780,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17781,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17782,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17781, 17780])).
% 26.29/17.58 tff(17783,plain,
% 26.29/17.58 (v26(constB141) | v127(constB141, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17782, 822, 17779])).
% 26.29/17.58 tff(17784,plain,
% 26.29/17.58 (v127(constB141, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17783, 8464])).
% 26.29/17.58 tff(17785,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17786,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17787,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 26.29/17.58 tff(17788,plain,
% 26.29/17.58 ((~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17787, 837, 17652])).
% 26.29/17.58 tff(17789,plain,
% 26.29/17.58 (v129(constB142, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17788, 17784])).
% 26.29/17.58 tff(17790,plain,
% 26.29/17.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17791,plain,
% 26.29/17.58 ((v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17792,plain,
% 26.29/17.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17791])).
% 26.29/17.58 tff(17793,plain,
% 26.29/17.58 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17792, 17790])).
% 26.29/17.58 tff(17794,plain,
% 26.29/17.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17795,plain,
% 26.29/17.58 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 26.29/17.58 tff(17796,plain,
% 26.29/17.58 (v90(constB142, bitIndex0) | (~v100(constB142))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17795, 852, 17789])).
% 26.29/17.58 tff(17797,plain,
% 26.29/17.58 (v90(constB142, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17796, 17692])).
% 26.29/17.58 tff(17798,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17799,plain,
% 26.29/17.58 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17800,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17799])).
% 26.29/17.58 tff(17801,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17800, 17798])).
% 26.29/17.58 tff(17802,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17803,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 26.29/17.58 tff(17804,plain,
% 26.29/17.58 ((~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17803, 870, 17720])).
% 26.29/17.58 tff(17805,plain,
% 26.29/17.58 ((~v90(constB142, bitIndex0)) | v90(constB143, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17804, 17732])).
% 26.29/17.58 tff(17806,plain,
% 26.29/17.58 (v90(constB143, bitIndex0)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17805, 17797])).
% 26.29/17.58 tff(17807,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17808,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17809,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17808, 17807])).
% 26.29/17.58 tff(17810,plain,
% 26.29/17.58 (v124(constB143)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17809, 1975, 17806, 17775, 17741])).
% 26.29/17.58 tff(17811,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17812,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17813,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 26.29/17.58 tff(17814,plain,
% 26.29/17.58 (v114(constB143)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17813, 1986, 17810])).
% 26.29/17.58 tff(17815,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17816,plain,
% 26.29/17.58 (((~v114(constB143)) | v113(constB143)) <=> (v113(constB143) | (~v114(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17817,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17816])).
% 26.29/17.58 tff(17818,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17817, 17815])).
% 26.29/17.58 tff(17819,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17820,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17819, 17818])).
% 26.29/17.58 tff(17821,plain,
% 26.29/17.58 (v113(constB143)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17820, 518, 17814])).
% 26.29/17.58 tff(17822,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17823,plain,
% 26.29/17.58 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17824,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17823])).
% 26.29/17.58 tff(17825,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17824, 17822])).
% 26.29/17.58 tff(17826,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17827,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17826, 17825])).
% 26.29/17.58 tff(17828,plain,
% 26.29/17.58 (v26(constB143) | v112(constB143)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17827, 532, 17821])).
% 26.29/17.58 tff(17829,plain,
% 26.29/17.58 (v112(constB143)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17828, 8460])).
% 26.29/17.58 tff(17830,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17831,plain,
% 26.29/17.58 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17832,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17831])).
% 26.29/17.58 tff(17833,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17832, 17830])).
% 26.29/17.58 tff(17834,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17835,plain,
% 26.29/17.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17834, 17833])).
% 26.29/17.58 tff(17836,plain,
% 26.29/17.58 (v108(constB143)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17835, 544, 17829])).
% 26.29/17.58 tff(17837,plain,
% 26.29/17.58 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17838,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 26.29/17.58 tff(17839,plain,
% 26.29/17.58 (nextState(constB143, constB144)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 26.29/17.58 tff(17840,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17841,plain,
% 26.29/17.58 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17842,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17841])).
% 26.29/17.58 tff(17843,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17842, 17840])).
% 26.29/17.58 tff(17844,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17845,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17844, 17843])).
% 26.29/17.58 tff(17846,plain,
% 26.29/17.58 (v110(constB144) | (~v108(constB143))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17845, 564, 17839])).
% 26.29/17.58 tff(17847,plain,
% 26.29/17.58 (v110(constB144)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17846, 17836])).
% 26.29/17.58 tff(17848,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17849,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17850,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 26.29/17.58 tff(17851,plain,
% 26.29/17.58 (~v104(constB144)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17850, 582, 17839, 17717])).
% 26.29/17.58 tff(17852,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17853,plain,
% 26.29/17.58 (((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17854,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17853])).
% 26.29/17.58 tff(17855,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17854, 17852])).
% 26.29/17.58 tff(17856,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17857,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | v102(constB144)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17856, 17855])).
% 26.29/17.58 tff(17858,plain,
% 26.29/17.58 (v104(constB144) | v102(constB144)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17857, 596, 17839])).
% 26.29/17.58 tff(17859,plain,
% 26.29/17.58 (v102(constB144)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17858, 17851])).
% 26.29/17.58 tff(17860,plain,
% 26.29/17.58 (v1(constB144) <=> v1(constB144)),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17861,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 26.29/17.58 tff(17862,plain,
% 26.29/17.58 (v1(constB144)),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17861, 17860])).
% 26.29/17.58 tff(17863,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17864,plain,
% 26.29/17.58 (((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))) <=> ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17865,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17864])).
% 26.29/17.58 tff(17866,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17865, 17863])).
% 26.29/17.58 tff(17867,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17868,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | (~v1(constB144)) | v101(constB144) | (~v102(constB144))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 26.29/17.58 tff(17869,plain,
% 26.29/17.58 (v101(constB144) | (~v102(constB144))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17868, 617, 17839, 17862])).
% 26.29/17.58 tff(17870,plain,
% 26.29/17.58 (v101(constB144)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17869, 17859])).
% 26.29/17.58 tff(17871,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17872,plain,
% 26.29/17.58 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 26.29/17.58 inference(rewrite,[status(thm)],[])).
% 26.29/17.58 tff(17873,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 26.29/17.58 inference(monotonicity,[status(thm)],[17872])).
% 26.29/17.58 tff(17874,plain,
% 26.29/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 26.29/17.58 inference(transitivity,[status(thm)],[17873, 17871])).
% 26.29/17.58 tff(17875,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 26.29/17.58 inference(quant_inst,[status(thm)],[])).
% 26.29/17.58 tff(17876,plain,
% 26.29/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 26.29/17.58 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 26.29/17.58 tff(17877,plain,
% 26.29/17.58 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17876, 635, 17839])).
% 26.29/17.58 tff(17878,plain,
% 26.29/17.58 (v100(constB144) | (~v110(constB144))),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17877, 17870])).
% 26.29/17.58 tff(17879,plain,
% 26.29/17.58 (v100(constB144)),
% 26.29/17.58 inference(unit_resolution,[status(thm)],[17878, 17847])).
% 26.29/17.58 tff(17880,plain,
% 26.29/17.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17881,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17882,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 26.29/17.59 tff(17883,plain,
% 26.29/17.59 (v130(constB143, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17882, 2066, 17810])).
% 26.29/17.59 tff(17884,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17885,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17886,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 26.29/17.59 tff(17887,plain,
% 26.29/17.59 (v26(constB143) | v127(constB143, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17886, 1560, 17883])).
% 26.29/17.59 tff(17888,plain,
% 26.29/17.59 (v127(constB143, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17887, 8460])).
% 26.29/17.59 tff(17889,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17890,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17891,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17890, 17889])).
% 26.29/17.59 tff(17892,plain,
% 26.29/17.59 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17891, 1575, 17839])).
% 26.29/17.59 tff(17893,plain,
% 26.29/17.59 (v129(constB144, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17892, 17888])).
% 26.29/17.59 tff(17894,plain,
% 26.29/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17895,plain,
% 26.29/17.59 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17896,plain,
% 26.29/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17895])).
% 26.29/17.59 tff(17897,plain,
% 26.29/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17896, 17894])).
% 26.29/17.59 tff(17898,plain,
% 26.29/17.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17899,plain,
% 26.29/17.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 26.29/17.59 tff(17900,plain,
% 26.29/17.59 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17899, 1590, 17893])).
% 26.29/17.59 tff(17901,plain,
% 26.29/17.59 (v90(constB144, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17900, 17879])).
% 26.29/17.59 tff(17902,plain,
% 26.29/17.59 ((~v1(constB145)) <=> (~v1(constB145))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17903,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 26.29/17.59 tff(17904,plain,
% 26.29/17.59 (~v1(constB145)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17903, 17902])).
% 26.29/17.59 tff(17905,plain,
% 26.29/17.59 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17906,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 26.29/17.59 tff(17907,plain,
% 26.29/17.59 (nextState(constB144, constB145)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 26.29/17.59 tff(17908,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17909,plain,
% 26.29/17.59 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17910,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17909])).
% 26.29/17.59 tff(17911,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17910, 17908])).
% 26.29/17.59 tff(17912,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17913,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17912, 17911])).
% 26.29/17.59 tff(17914,plain,
% 26.29/17.59 (~v101(constB145)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17913, 342, 17907, 17904])).
% 26.29/17.59 tff(17915,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17916,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17917,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17916, 17915])).
% 26.29/17.59 tff(17918,plain,
% 26.29/17.59 (v101(constB145) | (~v100(constB145))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17917, 359, 17907])).
% 26.29/17.59 tff(17919,plain,
% 26.29/17.59 (~v100(constB145)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17918, 17914])).
% 26.29/17.59 tff(17920,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17921,plain,
% 26.29/17.59 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17922,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17921])).
% 26.29/17.59 tff(17923,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17922, 17920])).
% 26.29/17.59 tff(17924,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17925,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17924, 17923])).
% 26.29/17.59 tff(17926,plain,
% 26.29/17.59 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17925, 1626, 17907])).
% 26.29/17.59 tff(17927,plain,
% 26.29/17.59 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17926, 17919])).
% 26.29/17.59 tff(17928,plain,
% 26.29/17.59 (v90(constB145, bitIndex2)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17927, 17901])).
% 26.29/17.59 tff(17929,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17930,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17931,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 26.29/17.59 tff(17932,plain,
% 26.29/17.59 (v130(constB143, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17931, 2122, 17810])).
% 26.29/17.59 tff(17933,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17934,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17935,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 26.29/17.59 tff(17936,plain,
% 26.29/17.59 (v26(constB143) | v127(constB143, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17935, 1075, 17932])).
% 26.29/17.59 tff(17937,plain,
% 26.29/17.59 (v127(constB143, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17936, 8460])).
% 26.29/17.59 tff(17938,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17939,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17940,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17939, 17938])).
% 26.29/17.59 tff(17941,plain,
% 26.29/17.59 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17940, 1090, 17839])).
% 26.29/17.59 tff(17942,plain,
% 26.29/17.59 (v129(constB144, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17941, 17937])).
% 26.29/17.59 tff(17943,plain,
% 26.29/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17944,plain,
% 26.29/17.59 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17945,plain,
% 26.29/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17944])).
% 26.29/17.59 tff(17946,plain,
% 26.29/17.59 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17945, 17943])).
% 26.29/17.59 tff(17947,plain,
% 26.29/17.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17948,plain,
% 26.29/17.59 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 26.29/17.59 tff(17949,plain,
% 26.29/17.59 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17948, 1105, 17942])).
% 26.29/17.59 tff(17950,plain,
% 26.29/17.59 (v90(constB144, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17949, 17879])).
% 26.29/17.59 tff(17951,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17952,plain,
% 26.29/17.59 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17953,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17952])).
% 26.29/17.59 tff(17954,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17953, 17951])).
% 26.29/17.59 tff(17955,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17956,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 26.29/17.59 tff(17957,plain,
% 26.29/17.59 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17956, 1123, 17907])).
% 26.29/17.59 tff(17958,plain,
% 26.29/17.59 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17957, 17919])).
% 26.29/17.59 tff(17959,plain,
% 26.29/17.59 (v90(constB145, bitIndex1)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17958, 17950])).
% 26.29/17.59 tff(17960,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17961,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17962,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17961, 17960])).
% 26.29/17.59 tff(17963,plain,
% 26.29/17.59 (~v130(constB143, bitIndex0)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17962, 2160, 17810])).
% 26.29/17.59 tff(17964,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17965,plain,
% 26.29/17.59 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17966,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17965])).
% 26.29/17.59 tff(17967,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17966, 17964])).
% 26.29/17.59 tff(17968,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17969,plain,
% 26.29/17.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 26.29/17.59 tff(17970,plain,
% 26.29/17.59 ((~v127(constB143, bitIndex0)) | v26(constB143)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17969, 1153, 17963])).
% 26.29/17.59 tff(17971,plain,
% 26.29/17.59 (~v127(constB143, bitIndex0)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17970, 8460])).
% 26.29/17.59 tff(17972,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17973,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17974,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 26.29/17.59 tff(17975,plain,
% 26.29/17.59 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17974, 1171, 17839])).
% 26.29/17.59 tff(17976,plain,
% 26.29/17.59 (~v129(constB144, bitIndex0)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17975, 17971])).
% 26.29/17.59 tff(17977,plain,
% 26.29/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17978,plain,
% 26.29/17.59 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17979,plain,
% 26.29/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17978])).
% 26.29/17.59 tff(17980,plain,
% 26.29/17.59 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17979, 17977])).
% 26.29/17.59 tff(17981,plain,
% 26.29/17.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17982,plain,
% 26.29/17.59 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 26.29/17.59 tff(17983,plain,
% 26.29/17.59 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17982, 1186, 17976])).
% 26.29/17.59 tff(17984,plain,
% 26.29/17.59 (~v90(constB144, bitIndex0)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17983, 17879])).
% 26.29/17.59 tff(17985,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17986,plain,
% 26.29/17.59 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 26.29/17.59 inference(rewrite,[status(thm)],[])).
% 26.29/17.59 tff(17987,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 26.29/17.59 inference(monotonicity,[status(thm)],[17986])).
% 26.29/17.59 tff(17988,plain,
% 26.29/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 26.29/17.59 inference(transitivity,[status(thm)],[17987, 17985])).
% 26.29/17.59 tff(17989,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 26.29/17.59 inference(quant_inst,[status(thm)],[])).
% 26.29/17.59 tff(17990,plain,
% 26.29/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 26.29/17.59 inference(modus_ponens,[status(thm)],[17989, 17988])).
% 26.29/17.59 tff(17991,plain,
% 26.29/17.59 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17990, 416, 17907])).
% 26.29/17.59 tff(17992,plain,
% 26.29/17.59 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17991, 17919])).
% 26.29/17.59 tff(17993,plain,
% 26.29/17.59 (~v90(constB145, bitIndex0)),
% 26.29/17.59 inference(unit_resolution,[status(thm)],[17992, 17984])).
% 26.29/17.59 tff(17994,plain,
% 26.29/17.59 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(17995,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(17996,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[17995, 17994])).
% 26.29/17.60 tff(17997,plain,
% 26.29/17.60 (v125(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[17996, 2204, 17993, 17959, 17928])).
% 26.29/17.60 tff(17998,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(17999,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18000,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 26.29/17.60 tff(18001,plain,
% 26.29/17.60 (v113(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18000, 2215, 17997])).
% 26.29/17.60 tff(18002,assumption,(v26(constB145)), introduced(assumption)).
% 26.29/17.60 tff(18003,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18004,plain,
% 26.29/17.60 ($false),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18003, 120, 18002])).
% 26.29/17.60 tff(18005,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 26.29/17.60 tff(18006,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18007,plain,
% 26.29/17.60 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18008,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18007])).
% 26.29/17.60 tff(18009,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18008, 18006])).
% 26.29/17.60 tff(18010,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18011,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 26.29/17.60 tff(18012,plain,
% 26.29/17.60 (v112(constB145) | (~v113(constB145))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18011, 532, 18005])).
% 26.29/17.60 tff(18013,plain,
% 26.29/17.60 (v112(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18012, 18001])).
% 26.29/17.60 tff(18014,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18015,plain,
% 26.29/17.60 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18016,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18015])).
% 26.29/17.60 tff(18017,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18016, 18014])).
% 26.29/17.60 tff(18018,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18019,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 26.29/17.60 tff(18020,plain,
% 26.29/17.60 (v108(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18019, 544, 18013])).
% 26.29/17.60 tff(18021,plain,
% 26.29/17.60 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18022,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 26.29/17.60 tff(18023,plain,
% 26.29/17.60 (nextState(constB145, constB146)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 26.29/17.60 tff(18024,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18025,plain,
% 26.29/17.60 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18026,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18025])).
% 26.29/17.60 tff(18027,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18026, 18024])).
% 26.29/17.60 tff(18028,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18029,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 26.29/17.60 tff(18030,plain,
% 26.29/17.60 (v110(constB146) | (~v108(constB145))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18029, 564, 18023])).
% 26.29/17.60 tff(18031,plain,
% 26.29/17.60 (v110(constB146)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18030, 18020])).
% 26.29/17.60 tff(18032,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18033,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18034,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18033, 18032])).
% 26.29/17.60 tff(18035,plain,
% 26.29/17.60 (~v104(constB146)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18034, 582, 18023, 17904])).
% 26.29/17.60 tff(18036,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18037,plain,
% 26.29/17.60 (((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18038,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18037])).
% 26.29/17.60 tff(18039,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18038, 18036])).
% 26.29/17.60 tff(18040,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18041,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | v102(constB146)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18040, 18039])).
% 26.29/17.60 tff(18042,plain,
% 26.29/17.60 (v104(constB146) | v102(constB146)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18041, 596, 18023])).
% 26.29/17.60 tff(18043,plain,
% 26.29/17.60 (v102(constB146)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18042, 18035])).
% 26.29/17.60 tff(18044,plain,
% 26.29/17.60 (v1(constB146) <=> v1(constB146)),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18045,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 26.29/17.60 tff(18046,plain,
% 26.29/17.60 (v1(constB146)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18045, 18044])).
% 26.29/17.60 tff(18047,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18048,plain,
% 26.29/17.60 (((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))) <=> ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18049,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18048])).
% 26.29/17.60 tff(18050,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18049, 18047])).
% 26.29/17.60 tff(18051,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18052,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | (~v1(constB146)) | v101(constB146) | (~v102(constB146))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18051, 18050])).
% 26.29/17.60 tff(18053,plain,
% 26.29/17.60 (v101(constB146) | (~v102(constB146))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18052, 617, 18023, 18046])).
% 26.29/17.60 tff(18054,plain,
% 26.29/17.60 (v101(constB146)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18053, 18043])).
% 26.29/17.60 tff(18055,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18056,plain,
% 26.29/17.60 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18057,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18056])).
% 26.29/17.60 tff(18058,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18057, 18055])).
% 26.29/17.60 tff(18059,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18060,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18059, 18058])).
% 26.29/17.60 tff(18061,plain,
% 26.29/17.60 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18060, 635, 18023])).
% 26.29/17.60 tff(18062,plain,
% 26.29/17.60 (v100(constB146) | (~v110(constB146))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18061, 18054])).
% 26.29/17.60 tff(18063,plain,
% 26.29/17.60 (v100(constB146)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18062, 18031])).
% 26.29/17.60 tff(18064,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB145)) | (~v90(constB145, bitIndex2)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18065,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB145)) | (~v90(constB145, bitIndex2)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18066,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB145)) | (~v90(constB145, bitIndex2))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18065, 18064])).
% 26.29/17.60 tff(18067,plain,
% 26.29/17.60 (~v122(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18066, 2298, 17928])).
% 26.29/17.60 tff(18068,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18069,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18070,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB145)) | (~v90(constB145, bitIndex1))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18069, 18068])).
% 26.29/17.60 tff(18071,plain,
% 26.29/17.60 (~v120(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18070, 2320, 17959])).
% 26.29/17.60 tff(18072,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18073,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18074,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB145)) | (~v90(constB145, bitIndex1))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18073, 18072])).
% 26.29/17.60 tff(18075,plain,
% 26.29/17.60 (~v124(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18074, 2342, 17959])).
% 26.29/17.60 tff(18076,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18077,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18078,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB145)) | (~v90(constB145, bitIndex1))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18077, 18076])).
% 26.29/17.60 tff(18079,plain,
% 26.29/17.60 (~v123(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18078, 2331, 17959])).
% 26.29/17.60 tff(18080,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v90(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v90(constB145, bitIndex2)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18081,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB145)) | (~v90(constB145, bitIndex2)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18082,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB145)) | (~v90(constB145, bitIndex2))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 26.29/17.60 tff(18083,plain,
% 26.29/17.60 (~v121(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18082, 2287, 17928])).
% 26.29/17.60 tff(18084,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18085,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18086,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 26.29/17.60 tff(18087,plain,
% 26.29/17.60 (~v119(constB145)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18086, 2309, 17959])).
% 26.29/17.60 tff(18088,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18089,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18090,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18089, 18088])).
% 26.29/17.60 tff(18091,plain,
% 26.29/17.60 (~v130(constB145, bitIndex2)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18090, 2356, 18087, 18083, 18079, 18075, 18071, 18067])).
% 26.29/17.60 tff(18092,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18093,plain,
% 26.29/17.60 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18094,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18093])).
% 26.29/17.60 tff(18095,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18094, 18092])).
% 26.29/17.60 tff(18096,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18097,plain,
% 26.29/17.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 26.29/17.60 tff(18098,plain,
% 26.29/17.60 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18097, 665, 18005])).
% 26.29/17.60 tff(18099,plain,
% 26.29/17.60 (~v127(constB145, bitIndex2)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18098, 18091])).
% 26.29/17.60 tff(18100,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18101,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18102,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 26.29/17.60 tff(18103,plain,
% 26.29/17.60 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18102, 683, 18023])).
% 26.29/17.60 tff(18104,plain,
% 26.29/17.60 (~v129(constB146, bitIndex2)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18103, 18099])).
% 26.29/17.60 tff(18105,plain,
% 26.29/17.60 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18106,plain,
% 26.29/17.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18107,plain,
% 26.29/17.60 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 26.29/17.60 tff(18108,plain,
% 26.29/17.60 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18107, 698, 18104])).
% 26.29/17.60 tff(18109,plain,
% 26.29/17.60 (~v90(constB146, bitIndex2)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18108, 18063])).
% 26.29/17.60 tff(18110,plain,
% 26.29/17.60 ((~v1(constB147)) <=> (~v1(constB147))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18111,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 26.29/17.60 tff(18112,plain,
% 26.29/17.60 (~v1(constB147)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18111, 18110])).
% 26.29/17.60 tff(18113,plain,
% 26.29/17.60 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18114,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 26.29/17.60 tff(18115,plain,
% 26.29/17.60 (nextState(constB146, constB147)),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18114, 18113])).
% 26.29/17.60 tff(18116,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18117,plain,
% 26.29/17.60 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18118,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18117])).
% 26.29/17.60 tff(18119,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18118, 18116])).
% 26.29/17.60 tff(18120,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18121,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18120, 18119])).
% 26.29/17.60 tff(18122,plain,
% 26.29/17.60 (~v101(constB147)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18121, 342, 18115, 18112])).
% 26.29/17.60 tff(18123,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18124,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18125,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18124, 18123])).
% 26.29/17.60 tff(18126,plain,
% 26.29/17.60 (v101(constB147) | (~v100(constB147))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18125, 359, 18115])).
% 26.29/17.60 tff(18127,plain,
% 26.29/17.60 (~v100(constB147)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18126, 18122])).
% 26.29/17.60 tff(18128,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18129,plain,
% 26.29/17.60 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 26.29/17.60 inference(rewrite,[status(thm)],[])).
% 26.29/17.60 tff(18130,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 26.29/17.60 inference(monotonicity,[status(thm)],[18129])).
% 26.29/17.60 tff(18131,plain,
% 26.29/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 26.29/17.60 inference(transitivity,[status(thm)],[18130, 18128])).
% 26.29/17.60 tff(18132,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 26.29/17.60 inference(quant_inst,[status(thm)],[])).
% 26.29/17.60 tff(18133,plain,
% 26.29/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 26.29/17.60 inference(modus_ponens,[status(thm)],[18132, 18131])).
% 26.29/17.60 tff(18134,plain,
% 26.29/17.60 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18133, 374, 18115])).
% 26.29/17.60 tff(18135,plain,
% 26.29/17.60 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18134, 18127])).
% 26.29/17.60 tff(18136,plain,
% 26.29/17.60 (~v90(constB147, bitIndex2)),
% 26.29/17.60 inference(unit_resolution,[status(thm)],[18135, 18109])).
% 26.29/17.60 tff(18137,plain,
% 26.29/17.60 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18138,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18139,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 26.29/17.61 tff(18140,plain,
% 26.29/17.61 (~v130(constB145, bitIndex1)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18139, 2415, 18087, 18083, 18079, 18075, 18071, 18067])).
% 26.29/17.61 tff(18141,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18142,plain,
% 26.29/17.61 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18143,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18142])).
% 26.29/17.61 tff(18144,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18143, 18141])).
% 26.29/17.61 tff(18145,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18146,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18145, 18144])).
% 26.29/17.61 tff(18147,plain,
% 26.29/17.61 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18146, 751, 18005])).
% 26.29/17.61 tff(18148,plain,
% 26.29/17.61 (~v127(constB145, bitIndex1)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18147, 18140])).
% 26.29/17.61 tff(18149,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18150,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18151,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 26.29/17.61 tff(18152,plain,
% 26.29/17.61 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18151, 769, 18023])).
% 26.29/17.61 tff(18153,plain,
% 26.29/17.61 (~v129(constB146, bitIndex1)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18152, 18148])).
% 26.29/17.61 tff(18154,plain,
% 26.29/17.61 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18155,plain,
% 26.29/17.61 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18156,plain,
% 26.29/17.61 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18155])).
% 26.29/17.61 tff(18157,plain,
% 26.29/17.61 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18156, 18154])).
% 26.29/17.61 tff(18158,plain,
% 26.29/17.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18159,plain,
% 26.29/17.61 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 26.29/17.61 tff(18160,plain,
% 26.29/17.61 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18159, 784, 18153])).
% 26.29/17.61 tff(18161,plain,
% 26.29/17.61 (~v90(constB146, bitIndex1)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18160, 18063])).
% 26.29/17.61 tff(18162,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18163,plain,
% 26.29/17.61 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18164,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18163])).
% 26.29/17.61 tff(18165,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18164, 18162])).
% 26.29/17.61 tff(18166,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18167,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18166, 18165])).
% 26.29/17.61 tff(18168,plain,
% 26.29/17.61 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18167, 395, 18115])).
% 26.29/17.61 tff(18169,plain,
% 26.29/17.61 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18168, 18127])).
% 26.29/17.61 tff(18170,plain,
% 26.29/17.61 (~v90(constB147, bitIndex1)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18169, 18161])).
% 26.29/17.61 tff(18171,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18172,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18173,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18172, 18171])).
% 26.29/17.61 tff(18174,plain,
% 26.29/17.61 (v130(constB145, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18173, 2459, 18087, 18083, 18079, 18075, 18071, 18067])).
% 26.29/17.61 tff(18175,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18176,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18177,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18176, 18175])).
% 26.29/17.61 tff(18178,plain,
% 26.29/17.61 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18177, 822, 18005])).
% 26.29/17.61 tff(18179,plain,
% 26.29/17.61 (v127(constB145, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18178, 18174])).
% 26.29/17.61 tff(18180,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18181,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18182,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 26.29/17.61 tff(18183,plain,
% 26.29/17.61 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18182, 837, 18023])).
% 26.29/17.61 tff(18184,plain,
% 26.29/17.61 (v129(constB146, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18183, 18179])).
% 26.29/17.61 tff(18185,plain,
% 26.29/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18186,plain,
% 26.29/17.61 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18187,plain,
% 26.29/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18186])).
% 26.29/17.61 tff(18188,plain,
% 26.29/17.61 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18187, 18185])).
% 26.29/17.61 tff(18189,plain,
% 26.29/17.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18190,plain,
% 26.29/17.61 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 26.29/17.61 tff(18191,plain,
% 26.29/17.61 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18190, 852, 18184])).
% 26.29/17.61 tff(18192,plain,
% 26.29/17.61 (v90(constB146, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18191, 18063])).
% 26.29/17.61 tff(18193,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18194,plain,
% 26.29/17.61 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18195,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18194])).
% 26.29/17.61 tff(18196,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18195, 18193])).
% 26.29/17.61 tff(18197,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18198,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 26.29/17.61 tff(18199,plain,
% 26.29/17.61 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18198, 870, 18115])).
% 26.29/17.61 tff(18200,plain,
% 26.29/17.61 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18199, 18127])).
% 26.29/17.61 tff(18201,plain,
% 26.29/17.61 (v90(constB147, bitIndex0)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18200, 18192])).
% 26.29/17.61 tff(18202,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18203,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18204,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 26.29/17.61 tff(18205,plain,
% 26.29/17.61 (v120(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18204, 889, 18201, 18170, 18136])).
% 26.29/17.61 tff(18206,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB147) | (~v120(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18207,plain,
% 26.29/17.61 (((~v120(constB147)) | v118(constB147)) <=> (v118(constB147) | (~v120(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18208,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB147) | (~v120(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18207])).
% 26.29/17.61 tff(18209,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB147) | (~v120(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18208, 18206])).
% 26.29/17.61 tff(18210,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18211,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB147) | (~v120(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18210, 18209])).
% 26.29/17.61 tff(18212,plain,
% 26.29/17.61 (v118(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18211, 900, 18205])).
% 26.29/17.61 tff(18213,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18214,plain,
% 26.29/17.61 (((~v118(constB147)) | v117(constB147)) <=> (v117(constB147) | (~v118(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18215,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18214])).
% 26.29/17.61 tff(18216,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18215, 18213])).
% 26.29/17.61 tff(18217,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18218,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 26.29/17.61 tff(18219,plain,
% 26.29/17.61 (v117(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18218, 462, 18212])).
% 26.29/17.61 tff(18220,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18221,plain,
% 26.29/17.61 (((~v117(constB147)) | v116(constB147)) <=> (v116(constB147) | (~v117(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18222,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18221])).
% 26.29/17.61 tff(18223,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18222, 18220])).
% 26.29/17.61 tff(18224,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18225,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18224, 18223])).
% 26.29/17.61 tff(18226,plain,
% 26.29/17.61 (v116(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18225, 476, 18219])).
% 26.29/17.61 tff(18227,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB147)) | v115(constB147))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18228,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18229,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB147)) | v115(constB147)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 26.29/17.61 tff(18230,plain,
% 26.29/17.61 (v115(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18229, 490, 18226])).
% 26.29/17.61 tff(18231,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18232,plain,
% 26.29/17.61 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18233,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18232])).
% 26.29/17.61 tff(18234,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18233, 18231])).
% 26.29/17.61 tff(18235,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18236,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 26.29/17.61 tff(18237,plain,
% 26.29/17.61 (v114(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18236, 504, 18230])).
% 26.29/17.61 tff(18238,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18239,plain,
% 26.29/17.61 (((~v114(constB147)) | v113(constB147)) <=> (v113(constB147) | (~v114(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18240,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18239])).
% 26.29/17.61 tff(18241,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18240, 18238])).
% 26.29/17.61 tff(18242,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18243,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18242, 18241])).
% 26.29/17.61 tff(18244,plain,
% 26.29/17.61 (v113(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18243, 518, 18237])).
% 26.29/17.61 tff(18245,assumption,(v26(constB147)), introduced(assumption)).
% 26.29/17.61 tff(18246,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18247,plain,
% 26.29/17.61 ($false),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18246, 120, 18245])).
% 26.29/17.61 tff(18248,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 26.29/17.61 tff(18249,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18250,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18251,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 26.29/17.61 tff(18252,plain,
% 26.29/17.61 ((~v113(constB147)) | v112(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18251, 532, 18248])).
% 26.29/17.61 tff(18253,plain,
% 26.29/17.61 (v112(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18252, 18244])).
% 26.29/17.61 tff(18254,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18255,plain,
% 26.29/17.61 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18256,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18255])).
% 26.29/17.61 tff(18257,plain,
% 26.29/17.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18256, 18254])).
% 26.29/17.61 tff(18258,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18259,plain,
% 26.29/17.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 26.29/17.61 tff(18260,plain,
% 26.29/17.61 (v108(constB147)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18259, 544, 18253])).
% 26.29/17.61 tff(18261,plain,
% 26.29/17.61 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18262,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 26.29/17.61 tff(18263,plain,
% 26.29/17.61 (nextState(constB147, constB148)),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18262, 18261])).
% 26.29/17.61 tff(18264,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18265,plain,
% 26.29/17.61 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18266,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 26.29/17.61 inference(monotonicity,[status(thm)],[18265])).
% 26.29/17.61 tff(18267,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 26.29/17.61 inference(transitivity,[status(thm)],[18266, 18264])).
% 26.29/17.61 tff(18268,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18269,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18268, 18267])).
% 26.29/17.61 tff(18270,plain,
% 26.29/17.61 (v110(constB148) | (~v108(constB147))),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18269, 564, 18263])).
% 26.29/17.61 tff(18271,plain,
% 26.29/17.61 (v110(constB148)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18270, 18260])).
% 26.29/17.61 tff(18272,plain,
% 26.29/17.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 26.29/17.61 inference(rewrite,[status(thm)],[])).
% 26.29/17.61 tff(18273,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 26.29/17.61 inference(quant_inst,[status(thm)],[])).
% 26.29/17.61 tff(18274,plain,
% 26.29/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 26.29/17.61 inference(modus_ponens,[status(thm)],[18273, 18272])).
% 26.29/17.61 tff(18275,plain,
% 26.29/17.61 (~v104(constB148)),
% 26.29/17.61 inference(unit_resolution,[status(thm)],[18274, 582, 18263, 18112])).
% 26.29/17.62 tff(18276,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18277,plain,
% 26.29/17.62 (((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18278,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)))),
% 26.29/17.62 inference(monotonicity,[status(thm)],[18277])).
% 26.29/17.62 tff(18279,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148))),
% 26.29/17.62 inference(transitivity,[status(thm)],[18278, 18276])).
% 26.29/17.62 tff(18280,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18281,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | v102(constB148)),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18280, 18279])).
% 26.29/17.62 tff(18282,plain,
% 26.29/17.62 (v104(constB148) | v102(constB148)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18281, 596, 18263])).
% 26.29/17.62 tff(18283,plain,
% 26.29/17.62 (v102(constB148)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18282, 18275])).
% 26.29/17.62 tff(18284,plain,
% 26.29/17.62 (v1(constB148) <=> v1(constB148)),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18285,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 26.29/17.62 tff(18286,plain,
% 26.29/17.62 (v1(constB148)),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18285, 18284])).
% 26.29/17.62 tff(18287,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18288,plain,
% 26.29/17.62 (((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))) <=> ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18289,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))))),
% 26.29/17.62 inference(monotonicity,[status(thm)],[18288])).
% 26.29/17.62 tff(18290,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148)))),
% 26.29/17.62 inference(transitivity,[status(thm)],[18289, 18287])).
% 26.29/17.62 tff(18291,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18292,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | (~v1(constB148)) | v101(constB148) | (~v102(constB148))),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18291, 18290])).
% 26.29/17.62 tff(18293,plain,
% 26.29/17.62 (v101(constB148) | (~v102(constB148))),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18292, 617, 18263, 18286])).
% 26.29/17.62 tff(18294,plain,
% 26.29/17.62 (v101(constB148)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18293, 18283])).
% 26.29/17.62 tff(18295,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18296,plain,
% 26.29/17.62 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18297,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 26.29/17.62 inference(monotonicity,[status(thm)],[18296])).
% 26.29/17.62 tff(18298,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 26.29/17.62 inference(transitivity,[status(thm)],[18297, 18295])).
% 26.29/17.62 tff(18299,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18300,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18299, 18298])).
% 26.29/17.62 tff(18301,plain,
% 26.29/17.62 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18300, 635, 18263])).
% 26.29/17.62 tff(18302,plain,
% 26.29/17.62 (v100(constB148) | (~v110(constB148))),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18301, 18294])).
% 26.29/17.62 tff(18303,plain,
% 26.29/17.62 (v100(constB148)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18302, 18271])).
% 26.29/17.62 tff(18304,plain,
% 26.29/17.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18305,plain,
% 26.29/17.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18306,plain,
% 26.29/17.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18305, 18304])).
% 26.29/17.62 tff(18307,plain,
% 26.29/17.62 (~v130(constB147, bitIndex2)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18306, 1005, 18205])).
% 26.29/17.62 tff(18308,plain,
% 26.29/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18309,plain,
% 26.29/17.62 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18310,plain,
% 26.29/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 26.29/17.62 inference(monotonicity,[status(thm)],[18309])).
% 26.29/17.62 tff(18311,plain,
% 26.29/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 26.29/17.62 inference(transitivity,[status(thm)],[18310, 18308])).
% 26.29/17.62 tff(18312,plain,
% 26.29/17.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18313,plain,
% 26.29/17.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 26.29/17.62 tff(18314,plain,
% 26.29/17.62 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18313, 665, 18248])).
% 26.29/17.62 tff(18315,plain,
% 26.29/17.62 (~v127(constB147, bitIndex2)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18314, 18307])).
% 26.29/17.62 tff(18316,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18317,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18318,plain,
% 26.29/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18317, 18316])).
% 26.29/17.62 tff(18319,plain,
% 26.29/17.62 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18318, 683, 18263])).
% 26.29/17.62 tff(18320,plain,
% 26.29/17.62 (~v129(constB148, bitIndex2)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18319, 18315])).
% 26.29/17.62 tff(18321,plain,
% 26.29/17.62 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18322,plain,
% 26.29/17.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 26.29/17.62 inference(quant_inst,[status(thm)],[])).
% 26.29/17.62 tff(18323,plain,
% 26.29/17.62 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18322, 18321])).
% 26.29/17.62 tff(18324,plain,
% 26.29/17.62 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18323, 698, 18320])).
% 26.29/17.62 tff(18325,plain,
% 26.29/17.62 (~v90(constB148, bitIndex2)),
% 26.29/17.62 inference(unit_resolution,[status(thm)],[18324, 18303])).
% 26.29/17.62 tff(18326,plain,
% 26.29/17.62 ((~v1(constB149)) <=> (~v1(constB149))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18327,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 26.29/17.62 tff(18328,plain,
% 26.29/17.62 (~v1(constB149)),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18327, 18326])).
% 26.29/17.62 tff(18329,plain,
% 26.29/17.62 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18330,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 26.29/17.62 tff(18331,plain,
% 26.29/17.62 (nextState(constB148, constB149)),
% 26.29/17.62 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 26.29/17.62 tff(18332,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18333,plain,
% 26.29/17.62 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 26.29/17.62 inference(rewrite,[status(thm)],[])).
% 26.29/17.62 tff(18334,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 26.29/17.62 inference(monotonicity,[status(thm)],[18333])).
% 26.29/17.62 tff(18335,plain,
% 26.29/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 26.36/17.62 inference(transitivity,[status(thm)],[18334, 18332])).
% 26.36/17.62 tff(18336,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18337,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 26.36/17.62 tff(18338,plain,
% 26.36/17.62 (~v101(constB149)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18337, 342, 18331, 18328])).
% 26.36/17.62 tff(18339,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18340,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18341,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 26.36/17.62 tff(18342,plain,
% 26.36/17.62 (v101(constB149) | (~v100(constB149))),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18341, 359, 18331])).
% 26.36/17.62 tff(18343,plain,
% 26.36/17.62 (~v100(constB149)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18342, 18338])).
% 26.36/17.62 tff(18344,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18345,plain,
% 26.36/17.62 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18346,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 26.36/17.62 inference(monotonicity,[status(thm)],[18345])).
% 26.36/17.62 tff(18347,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 26.36/17.62 inference(transitivity,[status(thm)],[18346, 18344])).
% 26.36/17.62 tff(18348,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18349,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18348, 18347])).
% 26.36/17.62 tff(18350,plain,
% 26.36/17.62 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18349, 374, 18331])).
% 26.36/17.62 tff(18351,plain,
% 26.36/17.62 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18350, 18343])).
% 26.36/17.62 tff(18352,plain,
% 26.36/17.62 (~v90(constB149, bitIndex2)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18351, 18325])).
% 26.36/17.62 tff(18353,plain,
% 26.36/17.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18354,plain,
% 26.36/17.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18355,plain,
% 26.36/17.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 26.36/17.62 tff(18356,plain,
% 26.36/17.62 (v130(constB147, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18355, 1061, 18205])).
% 26.36/17.62 tff(18357,plain,
% 26.36/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18358,plain,
% 26.36/17.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18359,plain,
% 26.36/17.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 26.36/17.62 tff(18360,plain,
% 26.36/17.62 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18359, 1075, 18248])).
% 26.36/17.62 tff(18361,plain,
% 26.36/17.62 (v127(constB147, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18360, 18356])).
% 26.36/17.62 tff(18362,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18363,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18364,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18363, 18362])).
% 26.36/17.62 tff(18365,plain,
% 26.36/17.62 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18364, 1090, 18263])).
% 26.36/17.62 tff(18366,plain,
% 26.36/17.62 (v129(constB148, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18365, 18361])).
% 26.36/17.62 tff(18367,plain,
% 26.36/17.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18368,plain,
% 26.36/17.62 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18369,plain,
% 26.36/17.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 26.36/17.62 inference(monotonicity,[status(thm)],[18368])).
% 26.36/17.62 tff(18370,plain,
% 26.36/17.62 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 26.36/17.62 inference(transitivity,[status(thm)],[18369, 18367])).
% 26.36/17.62 tff(18371,plain,
% 26.36/17.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18372,plain,
% 26.36/17.62 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 26.36/17.62 tff(18373,plain,
% 26.36/17.62 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18372, 1105, 18366])).
% 26.36/17.62 tff(18374,plain,
% 26.36/17.62 (v90(constB148, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18373, 18303])).
% 26.36/17.62 tff(18375,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18376,plain,
% 26.36/17.62 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18377,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 26.36/17.62 inference(monotonicity,[status(thm)],[18376])).
% 26.36/17.62 tff(18378,plain,
% 26.36/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 26.36/17.62 inference(transitivity,[status(thm)],[18377, 18375])).
% 26.36/17.62 tff(18379,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18380,plain,
% 26.36/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 26.36/17.62 tff(18381,plain,
% 26.36/17.62 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18380, 1123, 18331])).
% 26.36/17.62 tff(18382,plain,
% 26.36/17.62 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18381, 18343])).
% 26.36/17.62 tff(18383,plain,
% 26.36/17.62 (v90(constB149, bitIndex1)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18382, 18374])).
% 26.36/17.62 tff(18384,plain,
% 26.36/17.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18385,plain,
% 26.36/17.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 26.36/17.62 inference(quant_inst,[status(thm)],[])).
% 26.36/17.62 tff(18386,plain,
% 26.36/17.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 26.36/17.62 inference(modus_ponens,[status(thm)],[18385, 18384])).
% 26.36/17.62 tff(18387,plain,
% 26.36/17.62 (~v130(constB147, bitIndex0)),
% 26.36/17.62 inference(unit_resolution,[status(thm)],[18386, 1139, 18205])).
% 26.36/17.62 tff(18388,plain,
% 26.36/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18389,plain,
% 26.36/17.62 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 26.36/17.62 inference(rewrite,[status(thm)],[])).
% 26.36/17.62 tff(18390,plain,
% 26.36/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 26.36/17.62 inference(monotonicity,[status(thm)],[18389])).
% 26.36/17.62 tff(18391,plain,
% 26.36/17.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18390, 18388])).
% 26.36/17.63 tff(18392,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18393,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 26.36/17.63 tff(18394,plain,
% 26.36/17.63 ((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18393, 1153, 18248])).
% 26.36/17.63 tff(18395,plain,
% 26.36/17.63 (~v127(constB147, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18394, 18387])).
% 26.36/17.63 tff(18396,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18397,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18398,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 26.36/17.63 tff(18399,plain,
% 26.36/17.63 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18398, 1171, 18263])).
% 26.36/17.63 tff(18400,plain,
% 26.36/17.63 (~v129(constB148, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18399, 18395])).
% 26.36/17.63 tff(18401,plain,
% 26.36/17.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18402,plain,
% 26.36/17.63 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18403,plain,
% 26.36/17.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18402])).
% 26.36/17.63 tff(18404,plain,
% 26.36/17.63 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18403, 18401])).
% 26.36/17.63 tff(18405,plain,
% 26.36/17.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18406,plain,
% 26.36/17.63 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18405, 18404])).
% 26.36/17.63 tff(18407,plain,
% 26.36/17.63 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18406, 1186, 18400])).
% 26.36/17.63 tff(18408,plain,
% 26.36/17.63 (~v90(constB148, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18407, 18303])).
% 26.36/17.63 tff(18409,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18410,plain,
% 26.36/17.63 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18411,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18410])).
% 26.36/17.63 tff(18412,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18411, 18409])).
% 26.36/17.63 tff(18413,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18414,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18413, 18412])).
% 26.36/17.63 tff(18415,plain,
% 26.36/17.63 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18414, 416, 18331])).
% 26.36/17.63 tff(18416,plain,
% 26.36/17.63 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18415, 18343])).
% 26.36/17.63 tff(18417,plain,
% 26.36/17.63 (~v90(constB149, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18416, 18408])).
% 26.36/17.63 tff(18418,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18419,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18420,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 26.36/17.63 tff(18421,plain,
% 26.36/17.63 (v121(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18420, 1213, 18417, 18383, 18352])).
% 26.36/17.63 tff(18422,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18423,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18424,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18423, 18422])).
% 26.36/17.63 tff(18425,plain,
% 26.36/17.63 (v130(constB149, bitIndex1)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18424, 1375, 18421])).
% 26.36/17.63 tff(18426,assumption,(v26(constB149)), introduced(assumption)).
% 26.36/17.63 tff(18427,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18428,plain,
% 26.36/17.63 ($false),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18427, 120, 18426])).
% 26.36/17.63 tff(18429,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 26.36/17.63 tff(18430,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18431,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18432,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18431, 18430])).
% 26.36/17.63 tff(18433,plain,
% 26.36/17.63 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18432, 1075, 18429])).
% 26.36/17.63 tff(18434,plain,
% 26.36/17.63 (v127(constB149, bitIndex1)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18433, 18425])).
% 26.36/17.63 tff(18435,plain,
% 26.36/17.63 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18436,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 26.36/17.63 tff(18437,plain,
% 26.36/17.63 (nextState(constB149, constB150)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18436, 18435])).
% 26.36/17.63 tff(18438,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18439,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18440,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18439, 18438])).
% 26.36/17.63 tff(18441,plain,
% 26.36/17.63 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18440, 1090, 18437])).
% 26.36/17.63 tff(18442,plain,
% 26.36/17.63 (v129(constB150, bitIndex1)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18441, 18434])).
% 26.36/17.63 tff(18443,assumption,(v121(constB149)), introduced(assumption)).
% 26.36/17.63 tff(18444,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18445,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18446,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 26.36/17.63 tff(18447,plain,
% 26.36/17.63 (v130(constB149, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18446, 1413, 18443])).
% 26.36/17.63 tff(18448,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18449,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18450,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 26.36/17.63 tff(18451,plain,
% 26.36/17.63 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18450, 822, 18429])).
% 26.36/17.63 tff(18452,plain,
% 26.36/17.63 (v127(constB149, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18451, 18447])).
% 26.36/17.63 tff(18453,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18454,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18455,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18454, 18453])).
% 26.36/17.63 tff(18456,plain,
% 26.36/17.63 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18455, 837, 18437])).
% 26.36/17.63 tff(18457,plain,
% 26.36/17.63 (v129(constB150, bitIndex0)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18456, 18452])).
% 26.36/17.63 tff(18458,assumption,(~v90(constB150, bitIndex0)), introduced(assumption)).
% 26.36/17.63 tff(18459,plain,
% 26.36/17.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18460,plain,
% 26.36/17.63 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18461,plain,
% 26.36/17.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18460])).
% 26.36/17.63 tff(18462,plain,
% 26.36/17.63 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18461, 18459])).
% 26.36/17.63 tff(18463,plain,
% 26.36/17.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18464,plain,
% 26.36/17.63 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 26.36/17.63 tff(18465,plain,
% 26.36/17.63 ((~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18464, 852, 18458])).
% 26.36/17.63 tff(18466,plain,
% 26.36/17.63 (~v100(constB150)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18465, 18457])).
% 26.36/17.63 tff(18467,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18468,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18469,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18468, 18467])).
% 26.36/17.63 tff(18470,plain,
% 26.36/17.63 (~v104(constB150)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18469, 582, 18437, 18328])).
% 26.36/17.63 tff(18471,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18472,plain,
% 26.36/17.63 (((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18473,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18472])).
% 26.36/17.63 tff(18474,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18473, 18471])).
% 26.36/17.63 tff(18475,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18476,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | v102(constB150)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 26.36/17.63 tff(18477,plain,
% 26.36/17.63 (v104(constB150) | v102(constB150)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18476, 596, 18437])).
% 26.36/17.63 tff(18478,plain,
% 26.36/17.63 (v102(constB150)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18477, 18470])).
% 26.36/17.63 tff(18479,plain,
% 26.36/17.63 (v1(constB150) <=> v1(constB150)),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18480,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 26.36/17.63 tff(18481,plain,
% 26.36/17.63 (v1(constB150)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18480, 18479])).
% 26.36/17.63 tff(18482,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18483,plain,
% 26.36/17.63 (((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))) <=> ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18484,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18483])).
% 26.36/17.63 tff(18485,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18484, 18482])).
% 26.36/17.63 tff(18486,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18487,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | (~v1(constB150)) | v101(constB150) | (~v102(constB150))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18486, 18485])).
% 26.36/17.63 tff(18488,plain,
% 26.36/17.63 (v101(constB150) | (~v102(constB150))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18487, 617, 18437, 18481])).
% 26.36/17.63 tff(18489,plain,
% 26.36/17.63 (v101(constB150)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18488, 18478])).
% 26.36/17.63 tff(18490,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18491,plain,
% 26.36/17.63 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18492,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18491])).
% 26.36/17.63 tff(18493,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18492, 18490])).
% 26.36/17.63 tff(18494,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18495,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 26.36/17.63 tff(18496,plain,
% 26.36/17.63 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18495, 635, 18437])).
% 26.36/17.63 tff(18497,plain,
% 26.36/17.63 (v100(constB150) | (~v110(constB150))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18496, 18489])).
% 26.36/17.63 tff(18498,plain,
% 26.36/17.63 (~v110(constB150)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18497, 18466])).
% 26.36/17.63 tff(18499,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18500,plain,
% 26.36/17.63 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18501,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18500])).
% 26.36/17.63 tff(18502,plain,
% 26.36/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18501, 18499])).
% 26.36/17.63 tff(18503,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18504,plain,
% 26.36/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 26.36/17.63 tff(18505,plain,
% 26.36/17.63 (v110(constB150) | (~v108(constB149))),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18504, 564, 18437])).
% 26.36/17.63 tff(18506,plain,
% 26.36/17.63 (~v108(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18505, 18498])).
% 26.36/17.63 tff(18507,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18508,plain,
% 26.36/17.63 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18509,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18508])).
% 26.36/17.63 tff(18510,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18509, 18507])).
% 26.36/17.63 tff(18511,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18512,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18511, 18510])).
% 26.36/17.63 tff(18513,plain,
% 26.36/17.63 (~v112(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18512, 544, 18506])).
% 26.36/17.63 tff(18514,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18515,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18516,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | (~v113(constB149)) | v112(constB149)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18515, 18514])).
% 26.36/17.63 tff(18517,plain,
% 26.36/17.63 ((~v113(constB149)) | v112(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18516, 532, 18429])).
% 26.36/17.63 tff(18518,plain,
% 26.36/17.63 (~v113(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18517, 18513])).
% 26.36/17.63 tff(18519,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18520,plain,
% 26.36/17.63 (((~v114(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v114(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18521,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149))))),
% 26.36/17.63 inference(monotonicity,[status(thm)],[18520])).
% 26.36/17.63 tff(18522,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 26.36/17.63 inference(transitivity,[status(thm)],[18521, 18519])).
% 26.36/17.63 tff(18523,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18524,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149))),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18523, 18522])).
% 26.36/17.63 tff(18525,plain,
% 26.36/17.63 (~v114(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18524, 518, 18518])).
% 26.36/17.63 tff(18526,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB149)) | v117(constB149))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18527,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 26.36/17.63 inference(quant_inst,[status(thm)],[])).
% 26.36/17.63 tff(18528,plain,
% 26.36/17.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB149)) | v117(constB149)),
% 26.36/17.63 inference(modus_ponens,[status(thm)],[18527, 18526])).
% 26.36/17.63 tff(18529,plain,
% 26.36/17.63 (v117(constB149)),
% 26.36/17.63 inference(unit_resolution,[status(thm)],[18528, 1224, 18443])).
% 26.36/17.63 tff(18530,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18531,plain,
% 26.36/17.63 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 26.36/17.63 inference(rewrite,[status(thm)],[])).
% 26.36/17.63 tff(18532,plain,
% 26.36/17.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18531])).
% 26.36/17.64 tff(18533,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18532, 18530])).
% 26.36/17.64 tff(18534,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18535,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18534, 18533])).
% 26.36/17.64 tff(18536,plain,
% 26.36/17.64 (v116(constB149)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18535, 476, 18529])).
% 26.36/17.64 tff(18537,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB149)) | v115(constB149))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18538,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18539,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB149)) | v115(constB149)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 26.36/17.64 tff(18540,plain,
% 26.36/17.64 (v115(constB149)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18539, 490, 18536])).
% 26.36/17.64 tff(18541,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18542,plain,
% 26.36/17.64 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18543,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18542])).
% 26.36/17.64 tff(18544,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18543, 18541])).
% 26.36/17.64 tff(18545,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18546,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 26.36/17.64 tff(18547,plain,
% 26.36/17.64 ($false),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18546, 504, 18540, 18525])).
% 26.36/17.64 tff(18548,plain,((~v121(constB149)) | v90(constB150, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.36/17.64 tff(18549,plain,
% 26.36/17.64 (v90(constB150, bitIndex0)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18548, 18421])).
% 26.36/17.64 tff(18550,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18551,plain,
% 26.36/17.64 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))) <=> (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18552,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18551])).
% 26.36/17.64 tff(18553,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18552, 18550])).
% 26.36/17.64 tff(18554,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18555,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18554, 18553])).
% 26.36/17.64 tff(18556,plain,
% 26.36/17.64 (v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18555, 416, 18437])).
% 26.36/17.64 tff(18557,plain,
% 26.36/17.64 (v100(constB150)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18556, 18549, 18417])).
% 26.36/17.64 tff(18558,plain,
% 26.36/17.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18559,plain,
% 26.36/17.64 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18560,plain,
% 26.36/17.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18559])).
% 26.36/17.64 tff(18561,plain,
% 26.36/17.64 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18560, 18558])).
% 26.36/17.64 tff(18562,plain,
% 26.36/17.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18563,plain,
% 26.36/17.64 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18562, 18561])).
% 26.36/17.64 tff(18564,plain,
% 26.36/17.64 (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18563, 1105, 18557])).
% 26.36/17.64 tff(18565,plain,
% 26.36/17.64 (v90(constB150, bitIndex1)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18564, 18442])).
% 26.36/17.64 tff(18566,plain,
% 26.36/17.64 ((~v1(constB151)) <=> (~v1(constB151))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18567,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 26.36/17.64 tff(18568,plain,
% 26.36/17.64 (~v1(constB151)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18567, 18566])).
% 26.36/17.64 tff(18569,plain,
% 26.36/17.64 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18570,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 26.36/17.64 tff(18571,plain,
% 26.36/17.64 (nextState(constB150, constB151)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 26.36/17.64 tff(18572,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18573,plain,
% 26.36/17.64 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18574,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18573])).
% 26.36/17.64 tff(18575,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18574, 18572])).
% 26.36/17.64 tff(18576,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18577,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18576, 18575])).
% 26.36/17.64 tff(18578,plain,
% 26.36/17.64 (~v101(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18577, 342, 18571, 18568])).
% 26.36/17.64 tff(18579,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18580,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18581,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18580, 18579])).
% 26.36/17.64 tff(18582,plain,
% 26.36/17.64 (v101(constB151) | (~v100(constB151))),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18581, 359, 18571])).
% 26.36/17.64 tff(18583,plain,
% 26.36/17.64 (~v100(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18582, 18578])).
% 26.36/17.64 tff(18584,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18585,plain,
% 26.36/17.64 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18586,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18585])).
% 26.36/17.64 tff(18587,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18586, 18584])).
% 26.36/17.64 tff(18588,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18589,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18588, 18587])).
% 26.36/17.64 tff(18590,plain,
% 26.36/17.64 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18589, 1123, 18571])).
% 26.36/17.64 tff(18591,plain,
% 26.36/17.64 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18590, 18583])).
% 26.36/17.64 tff(18592,plain,
% 26.36/17.64 (v90(constB151, bitIndex1)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18591, 18565])).
% 26.36/17.64 tff(18593,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18594,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18595,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 26.36/17.64 tff(18596,plain,
% 26.36/17.64 (~v130(constB149, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18595, 1325, 18421])).
% 26.36/17.64 tff(18597,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18598,plain,
% 26.36/17.64 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18599,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18598])).
% 26.36/17.64 tff(18600,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18599, 18597])).
% 26.36/17.64 tff(18601,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18602,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18601, 18600])).
% 26.36/17.64 tff(18603,plain,
% 26.36/17.64 ((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18602, 665, 18429])).
% 26.36/17.64 tff(18604,plain,
% 26.36/17.64 (~v127(constB149, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18603, 18596])).
% 26.36/17.64 tff(18605,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18606,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18607,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18606, 18605])).
% 26.36/17.64 tff(18608,plain,
% 26.36/17.64 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18607, 683, 18437])).
% 26.36/17.64 tff(18609,plain,
% 26.36/17.64 (~v129(constB150, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18608, 18604])).
% 26.36/17.64 tff(18610,plain,
% 26.36/17.64 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18611,plain,
% 26.36/17.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18612,plain,
% 26.36/17.64 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 26.36/17.64 tff(18613,plain,
% 26.36/17.64 ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18612, 698, 18557])).
% 26.36/17.64 tff(18614,plain,
% 26.36/17.64 (~v90(constB150, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18613, 18609])).
% 26.36/17.64 tff(18615,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18616,plain,
% 26.36/17.64 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18617,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18616])).
% 26.36/17.64 tff(18618,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18617, 18615])).
% 26.36/17.64 tff(18619,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18620,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18619, 18618])).
% 26.36/17.64 tff(18621,plain,
% 26.36/17.64 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18620, 374, 18571])).
% 26.36/17.64 tff(18622,plain,
% 26.36/17.64 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18621, 18583])).
% 26.36/17.64 tff(18623,plain,
% 26.36/17.64 (~v90(constB151, bitIndex2)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18622, 18614])).
% 26.36/17.64 tff(18624,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18625,plain,
% 26.36/17.64 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18626,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18625])).
% 26.36/17.64 tff(18627,plain,
% 26.36/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18626, 18624])).
% 26.36/17.64 tff(18628,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18629,plain,
% 26.36/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 26.36/17.64 tff(18630,plain,
% 26.36/17.64 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18629, 870, 18571])).
% 26.36/17.64 tff(18631,plain,
% 26.36/17.64 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18630, 18583])).
% 26.36/17.64 tff(18632,plain,
% 26.36/17.64 (v90(constB151, bitIndex0)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18631, 18549])).
% 26.36/17.64 tff(18633,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18634,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18635,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18634, 18633])).
% 26.36/17.64 tff(18636,plain,
% 26.36/17.64 ((~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18635, 1454, 18632])).
% 26.36/17.64 tff(18637,plain,
% 26.36/17.64 (v122(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18636, 18623, 18592])).
% 26.36/17.64 tff(18638,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18639,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18640,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151)),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18639, 18638])).
% 26.36/17.64 tff(18641,plain,
% 26.36/17.64 (v116(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18640, 1465, 18637])).
% 26.36/17.64 tff(18642,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18643,plain,
% 26.36/17.64 (((~v116(constB151)) | v115(constB151)) <=> (v115(constB151) | (~v116(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18644,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18643])).
% 26.36/17.64 tff(18645,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18644, 18642])).
% 26.36/17.64 tff(18646,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18647,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 26.36/17.64 tff(18648,plain,
% 26.36/17.64 (v115(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18647, 490, 18641])).
% 26.36/17.64 tff(18649,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18650,plain,
% 26.36/17.64 (((~v115(constB151)) | v114(constB151)) <=> (v114(constB151) | (~v115(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18651,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18650])).
% 26.36/17.64 tff(18652,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18651, 18649])).
% 26.36/17.64 tff(18653,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18654,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 26.36/17.64 tff(18655,plain,
% 26.36/17.64 (v114(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18654, 504, 18648])).
% 26.36/17.64 tff(18656,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18657,plain,
% 26.36/17.64 (((~v114(constB151)) | v113(constB151)) <=> (v113(constB151) | (~v114(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18658,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151))))),
% 26.36/17.64 inference(monotonicity,[status(thm)],[18657])).
% 26.36/17.64 tff(18659,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 26.36/17.64 inference(transitivity,[status(thm)],[18658, 18656])).
% 26.36/17.64 tff(18660,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 26.36/17.64 inference(quant_inst,[status(thm)],[])).
% 26.36/17.64 tff(18661,plain,
% 26.36/17.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151))),
% 26.36/17.64 inference(modus_ponens,[status(thm)],[18660, 18659])).
% 26.36/17.64 tff(18662,plain,
% 26.36/17.64 (v113(constB151)),
% 26.36/17.64 inference(unit_resolution,[status(thm)],[18661, 518, 18655])).
% 26.36/17.64 tff(18663,assumption,(~v108(constB151)), introduced(assumption)).
% 26.36/17.64 tff(18664,plain,
% 26.36/17.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.64 tff(18665,plain,
% 26.36/17.64 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 26.36/17.64 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18666,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18665])).
% 26.36/17.65 tff(18667,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18666, 18664])).
% 26.36/17.65 tff(18668,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18669,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 26.36/17.65 tff(18670,plain,
% 26.36/17.65 (~v112(constB151)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18669, 544, 18663])).
% 26.36/17.65 tff(18671,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18672,plain,
% 26.36/17.65 (((~v26(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v26(constB151)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18673,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18672])).
% 26.36/17.65 tff(18674,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18673, 18671])).
% 26.36/17.65 tff(18675,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18676,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 26.36/17.65 tff(18677,plain,
% 26.36/17.65 (~v26(constB151)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18676, 1770, 18663])).
% 26.36/17.65 tff(18678,assumption,(v113(constB151)), introduced(assumption)).
% 26.36/17.65 tff(18679,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18680,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18681,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 26.36/17.65 tff(18682,plain,
% 26.36/17.65 (v26(constB151) | v112(constB151)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18681, 532, 18678])).
% 26.36/17.65 tff(18683,plain,
% 26.36/17.65 ($false),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18682, 18677, 18670])).
% 26.36/17.65 tff(18684,plain,(v108(constB151) | (~v113(constB151))), inference(lemma,lemma(discharge,[]))).
% 26.36/17.65 tff(18685,plain,
% 26.36/17.65 (v108(constB151)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18684, 18662])).
% 26.36/17.65 tff(18686,plain,
% 26.36/17.65 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18687,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 26.36/17.65 tff(18688,plain,
% 26.36/17.65 (nextState(constB151, constB152)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 26.36/17.65 tff(18689,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18690,plain,
% 26.36/17.65 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18691,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18690])).
% 26.36/17.65 tff(18692,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18691, 18689])).
% 26.36/17.65 tff(18693,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18694,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18693, 18692])).
% 26.36/17.65 tff(18695,plain,
% 26.36/17.65 (v110(constB152) | (~v108(constB151))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18694, 564, 18688])).
% 26.36/17.65 tff(18696,plain,
% 26.36/17.65 (v110(constB152)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18695, 18685])).
% 26.36/17.65 tff(18697,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18698,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18699,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 26.36/17.65 tff(18700,plain,
% 26.36/17.65 (~v104(constB152)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18699, 582, 18688, 18568])).
% 26.36/17.65 tff(18701,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18702,plain,
% 26.36/17.65 (((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18703,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18702])).
% 26.36/17.65 tff(18704,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18703, 18701])).
% 26.36/17.65 tff(18705,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18706,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | v102(constB152)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 26.36/17.65 tff(18707,plain,
% 26.36/17.65 (v104(constB152) | v102(constB152)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18706, 596, 18688])).
% 26.36/17.65 tff(18708,plain,
% 26.36/17.65 (v102(constB152)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18707, 18700])).
% 26.36/17.65 tff(18709,plain,
% 26.36/17.65 (v1(constB152) <=> v1(constB152)),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18710,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 26.36/17.65 tff(18711,plain,
% 26.36/17.65 (v1(constB152)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18710, 18709])).
% 26.36/17.65 tff(18712,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18713,plain,
% 26.36/17.65 (((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))) <=> ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18714,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18713])).
% 26.36/17.65 tff(18715,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18714, 18712])).
% 26.36/17.65 tff(18716,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18717,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | (~v1(constB152)) | v101(constB152) | (~v102(constB152))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18716, 18715])).
% 26.36/17.65 tff(18718,plain,
% 26.36/17.65 (v101(constB152) | (~v102(constB152))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18717, 617, 18688, 18711])).
% 26.36/17.65 tff(18719,plain,
% 26.36/17.65 (v101(constB152)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18718, 18708])).
% 26.36/17.65 tff(18720,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18721,plain,
% 26.36/17.65 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18722,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18721])).
% 26.36/17.65 tff(18723,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18722, 18720])).
% 26.36/17.65 tff(18724,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18725,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 26.36/17.65 tff(18726,plain,
% 26.36/17.65 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18725, 635, 18688])).
% 26.36/17.65 tff(18727,plain,
% 26.36/17.65 (v100(constB152) | (~v110(constB152))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18726, 18719])).
% 26.36/17.65 tff(18728,plain,
% 26.36/17.65 (v100(constB152)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18727, 18696])).
% 26.36/17.65 tff(18729,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18730,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18731,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18730, 18729])).
% 26.36/17.65 tff(18732,plain,
% 26.36/17.65 (v130(constB151, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18731, 1546, 18637])).
% 26.36/17.65 tff(18733,assumption,(v26(constB151)), introduced(assumption)).
% 26.36/17.65 tff(18734,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18735,plain,
% 26.36/17.65 ($false),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18734, 120, 18733])).
% 26.36/17.65 tff(18736,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 26.36/17.65 tff(18737,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18738,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18739,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 26.36/17.65 tff(18740,plain,
% 26.36/17.65 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18739, 1560, 18736])).
% 26.36/17.65 tff(18741,plain,
% 26.36/17.65 (v127(constB151, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18740, 18732])).
% 26.36/17.65 tff(18742,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18743,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18744,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18743, 18742])).
% 26.36/17.65 tff(18745,plain,
% 26.36/17.65 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18744, 1575, 18688])).
% 26.36/17.65 tff(18746,plain,
% 26.36/17.65 (v129(constB152, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18745, 18741])).
% 26.36/17.65 tff(18747,plain,
% 26.36/17.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18748,plain,
% 26.36/17.65 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18749,plain,
% 26.36/17.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18748])).
% 26.36/17.65 tff(18750,plain,
% 26.36/17.65 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18749, 18747])).
% 26.36/17.65 tff(18751,plain,
% 26.36/17.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18752,plain,
% 26.36/17.65 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18751, 18750])).
% 26.36/17.65 tff(18753,plain,
% 26.36/17.65 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18752, 1590, 18746])).
% 26.36/17.65 tff(18754,plain,
% 26.36/17.65 (v90(constB152, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18753, 18728])).
% 26.36/17.65 tff(18755,plain,
% 26.36/17.65 ((~v1(constB153)) <=> (~v1(constB153))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18756,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 26.36/17.65 tff(18757,plain,
% 26.36/17.65 (~v1(constB153)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18756, 18755])).
% 26.36/17.65 tff(18758,plain,
% 26.36/17.65 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18759,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 26.36/17.65 tff(18760,plain,
% 26.36/17.65 (nextState(constB152, constB153)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18759, 18758])).
% 26.36/17.65 tff(18761,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18762,plain,
% 26.36/17.65 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18763,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18762])).
% 26.36/17.65 tff(18764,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18763, 18761])).
% 26.36/17.65 tff(18765,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18766,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18765, 18764])).
% 26.36/17.65 tff(18767,plain,
% 26.36/17.65 (~v101(constB153)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18766, 342, 18760, 18757])).
% 26.36/17.65 tff(18768,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18769,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18770,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18769, 18768])).
% 26.36/17.65 tff(18771,plain,
% 26.36/17.65 (v101(constB153) | (~v100(constB153))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18770, 359, 18760])).
% 26.36/17.65 tff(18772,plain,
% 26.36/17.65 (~v100(constB153)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18771, 18767])).
% 26.36/17.65 tff(18773,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18774,plain,
% 26.36/17.65 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18775,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18774])).
% 26.36/17.65 tff(18776,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18775, 18773])).
% 26.36/17.65 tff(18777,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18778,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18777, 18776])).
% 26.36/17.65 tff(18779,plain,
% 26.36/17.65 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18778, 1626, 18760])).
% 26.36/17.65 tff(18780,plain,
% 26.36/17.65 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18779, 18772])).
% 26.36/17.65 tff(18781,plain,
% 26.36/17.65 (v90(constB153, bitIndex2)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18780, 18754])).
% 26.36/17.65 tff(18782,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18783,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18784,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18783, 18782])).
% 26.36/17.65 tff(18785,plain,
% 26.36/17.65 (~v130(constB151, bitIndex1)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18784, 1642, 18637])).
% 26.36/17.65 tff(18786,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18787,plain,
% 26.36/17.65 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18788,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18787])).
% 26.36/17.65 tff(18789,plain,
% 26.36/17.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18788, 18786])).
% 26.36/17.65 tff(18790,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18791,plain,
% 26.36/17.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 26.36/17.65 tff(18792,plain,
% 26.36/17.65 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18791, 751, 18736])).
% 26.36/17.65 tff(18793,plain,
% 26.36/17.65 (~v127(constB151, bitIndex1)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18792, 18785])).
% 26.36/17.65 tff(18794,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18795,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18796,plain,
% 26.36/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18795, 18794])).
% 26.36/17.65 tff(18797,plain,
% 26.36/17.65 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18796, 769, 18688])).
% 26.36/17.65 tff(18798,plain,
% 26.36/17.65 (~v129(constB152, bitIndex1)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18797, 18793])).
% 26.36/17.65 tff(18799,plain,
% 26.36/17.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18800,plain,
% 26.36/17.65 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 26.36/17.65 inference(rewrite,[status(thm)],[])).
% 26.36/17.65 tff(18801,plain,
% 26.36/17.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 26.36/17.65 inference(monotonicity,[status(thm)],[18800])).
% 26.36/17.65 tff(18802,plain,
% 26.36/17.65 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 26.36/17.65 inference(transitivity,[status(thm)],[18801, 18799])).
% 26.36/17.65 tff(18803,plain,
% 26.36/17.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 26.36/17.65 inference(quant_inst,[status(thm)],[])).
% 26.36/17.65 tff(18804,plain,
% 26.36/17.65 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 26.36/17.65 inference(modus_ponens,[status(thm)],[18803, 18802])).
% 26.36/17.65 tff(18805,plain,
% 26.36/17.65 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18804, 784, 18798])).
% 26.36/17.65 tff(18806,plain,
% 26.36/17.65 (~v90(constB152, bitIndex1)),
% 26.36/17.65 inference(unit_resolution,[status(thm)],[18805, 18728])).
% 26.36/17.65 tff(18807,plain,
% 26.36/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18808,plain,
% 26.36/17.66 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18809,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18808])).
% 26.36/17.66 tff(18810,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18809, 18807])).
% 26.36/17.66 tff(18811,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18812,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 26.36/17.66 tff(18813,plain,
% 26.36/17.66 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18812, 395, 18760])).
% 26.36/17.66 tff(18814,plain,
% 26.36/17.66 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18813, 18772])).
% 26.36/17.66 tff(18815,plain,
% 26.36/17.66 (~v90(constB153, bitIndex1)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18814, 18806])).
% 26.36/17.66 tff(18816,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18817,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18818,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18817, 18816])).
% 26.36/17.66 tff(18819,plain,
% 26.36/17.66 (~v130(constB151, bitIndex0)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18818, 1683, 18637])).
% 26.36/17.66 tff(18820,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18821,plain,
% 26.36/17.66 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18822,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18821])).
% 26.36/17.66 tff(18823,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18822, 18820])).
% 26.36/17.66 tff(18824,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18825,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18824, 18823])).
% 26.36/17.66 tff(18826,plain,
% 26.36/17.66 ((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18825, 1153, 18736])).
% 26.36/17.66 tff(18827,plain,
% 26.36/17.66 (~v127(constB151, bitIndex0)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18826, 18819])).
% 26.36/17.66 tff(18828,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18829,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18830,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18829, 18828])).
% 26.36/17.66 tff(18831,plain,
% 26.36/17.66 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18830, 1171, 18688])).
% 26.36/17.66 tff(18832,plain,
% 26.36/17.66 (~v129(constB152, bitIndex0)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18831, 18827])).
% 26.36/17.66 tff(18833,plain,
% 26.36/17.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18834,plain,
% 26.36/17.66 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18835,plain,
% 26.36/17.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18834])).
% 26.36/17.66 tff(18836,plain,
% 26.36/17.66 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18835, 18833])).
% 26.36/17.66 tff(18837,plain,
% 26.36/17.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18838,plain,
% 26.36/17.66 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18837, 18836])).
% 26.36/17.66 tff(18839,plain,
% 26.36/17.66 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18838, 1186, 18832])).
% 26.36/17.66 tff(18840,plain,
% 26.36/17.66 (~v90(constB152, bitIndex0)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18839, 18728])).
% 26.36/17.66 tff(18841,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18842,plain,
% 26.36/17.66 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18843,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18842])).
% 26.36/17.66 tff(18844,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18843, 18841])).
% 26.36/17.66 tff(18845,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18846,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 26.36/17.66 tff(18847,plain,
% 26.36/17.66 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18846, 416, 18760])).
% 26.36/17.66 tff(18848,plain,
% 26.36/17.66 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18847, 18772])).
% 26.36/17.66 tff(18849,plain,
% 26.36/17.66 (~v90(constB153, bitIndex0)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18848, 18840])).
% 26.36/17.66 tff(18850,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18851,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18852,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18851, 18850])).
% 26.36/17.66 tff(18853,plain,
% 26.36/17.66 (v123(constB153)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18852, 1727, 18849, 18815, 18781])).
% 26.36/17.66 tff(18854,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB153)) | v115(constB153))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18855,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18856,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB153)) | v115(constB153)),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 26.36/17.66 tff(18857,plain,
% 26.36/17.66 (v115(constB153)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18856, 1784, 18853])).
% 26.36/17.66 tff(18858,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18859,plain,
% 26.36/17.66 (((~v115(constB153)) | v114(constB153)) <=> (v114(constB153) | (~v115(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18860,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18859])).
% 26.36/17.66 tff(18861,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18860, 18858])).
% 26.36/17.66 tff(18862,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18863,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18862, 18861])).
% 26.36/17.66 tff(18864,plain,
% 26.36/17.66 (v114(constB153)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18863, 504, 18857])).
% 26.36/17.66 tff(18865,assumption,(v114(constB153)), introduced(assumption)).
% 26.36/17.66 tff(18866,assumption,(~v113(constB153)), introduced(assumption)).
% 26.36/17.66 tff(18867,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18868,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18869,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153)),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18868, 18867])).
% 26.36/17.66 tff(18870,plain,
% 26.36/17.66 ($false),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18869, 518, 18866, 18865])).
% 26.36/17.66 tff(18871,plain,(v113(constB153) | (~v114(constB153))), inference(lemma,lemma(discharge,[]))).
% 26.36/17.66 tff(18872,plain,
% 26.36/17.66 (v113(constB153)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18871, 18864])).
% 26.36/17.66 tff(18873,assumption,(v26(constB153)), introduced(assumption)).
% 26.36/17.66 tff(18874,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18875,plain,
% 26.36/17.66 ($false),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18874, 120, 18873])).
% 26.36/17.66 tff(18876,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 26.36/17.66 tff(18877,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18878,plain,
% 26.36/17.66 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18879,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18878])).
% 26.36/17.66 tff(18880,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18879, 18877])).
% 26.36/17.66 tff(18881,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18882,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 26.36/17.66 tff(18883,plain,
% 26.36/17.66 (v112(constB153) | (~v113(constB153))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18882, 532, 18876])).
% 26.36/17.66 tff(18884,plain,
% 26.36/17.66 (v112(constB153)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18883, 18872])).
% 26.36/17.66 tff(18885,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18886,plain,
% 26.36/17.66 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18887,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18886])).
% 26.36/17.66 tff(18888,plain,
% 26.36/17.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18887, 18885])).
% 26.36/17.66 tff(18889,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18890,plain,
% 26.36/17.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18889, 18888])).
% 26.36/17.66 tff(18891,plain,
% 26.36/17.66 (v108(constB153)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18890, 544, 18884])).
% 26.36/17.66 tff(18892,plain,
% 26.36/17.66 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18893,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 26.36/17.66 tff(18894,plain,
% 26.36/17.66 (nextState(constB153, constB154)),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18893, 18892])).
% 26.36/17.66 tff(18895,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18896,plain,
% 26.36/17.66 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18897,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 26.36/17.66 inference(monotonicity,[status(thm)],[18896])).
% 26.36/17.66 tff(18898,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 26.36/17.66 inference(transitivity,[status(thm)],[18897, 18895])).
% 26.36/17.66 tff(18899,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18900,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18899, 18898])).
% 26.36/17.66 tff(18901,plain,
% 26.36/17.66 (v110(constB154) | (~v108(constB153))),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18900, 564, 18894])).
% 26.36/17.66 tff(18902,plain,
% 26.36/17.66 (v110(constB154)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18901, 18891])).
% 26.36/17.66 tff(18903,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 26.36/17.66 inference(rewrite,[status(thm)],[])).
% 26.36/17.66 tff(18904,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 26.36/17.66 inference(quant_inst,[status(thm)],[])).
% 26.36/17.66 tff(18905,plain,
% 26.36/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 26.36/17.66 inference(modus_ponens,[status(thm)],[18904, 18903])).
% 26.36/17.66 tff(18906,plain,
% 26.36/17.66 (~v104(constB154)),
% 26.36/17.66 inference(unit_resolution,[status(thm)],[18905, 582, 18894, 18757])).
% 26.36/17.66 tff(18907,plain,
% 26.36/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18908,plain,
% 26.40/17.66 (((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18909,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)))),
% 26.40/17.66 inference(monotonicity,[status(thm)],[18908])).
% 26.40/17.66 tff(18910,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154))),
% 26.40/17.66 inference(transitivity,[status(thm)],[18909, 18907])).
% 26.40/17.66 tff(18911,plain,
% 26.40/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 26.40/17.66 inference(quant_inst,[status(thm)],[])).
% 26.40/17.66 tff(18912,plain,
% 26.40/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | v102(constB154)),
% 26.40/17.66 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 26.40/17.66 tff(18913,plain,
% 26.40/17.66 (v104(constB154) | v102(constB154)),
% 26.40/17.66 inference(unit_resolution,[status(thm)],[18912, 596, 18894])).
% 26.40/17.66 tff(18914,plain,
% 26.40/17.66 (v102(constB154)),
% 26.40/17.66 inference(unit_resolution,[status(thm)],[18913, 18906])).
% 26.40/17.66 tff(18915,plain,
% 26.40/17.66 (v1(constB154) <=> v1(constB154)),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18916,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 26.40/17.66 tff(18917,plain,
% 26.40/17.66 (v1(constB154)),
% 26.40/17.66 inference(modus_ponens,[status(thm)],[18916, 18915])).
% 26.40/17.66 tff(18918,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18919,plain,
% 26.40/17.66 (((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))) <=> ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18920,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))))),
% 26.40/17.66 inference(monotonicity,[status(thm)],[18919])).
% 26.40/17.66 tff(18921,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154)))),
% 26.40/17.66 inference(transitivity,[status(thm)],[18920, 18918])).
% 26.40/17.66 tff(18922,plain,
% 26.40/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 26.40/17.66 inference(quant_inst,[status(thm)],[])).
% 26.40/17.66 tff(18923,plain,
% 26.40/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | (~v1(constB154)) | v101(constB154) | (~v102(constB154))),
% 26.40/17.66 inference(modus_ponens,[status(thm)],[18922, 18921])).
% 26.40/17.66 tff(18924,plain,
% 26.40/17.66 (v101(constB154) | (~v102(constB154))),
% 26.40/17.66 inference(unit_resolution,[status(thm)],[18923, 617, 18894, 18917])).
% 26.40/17.66 tff(18925,plain,
% 26.40/17.66 (v101(constB154)),
% 26.40/17.66 inference(unit_resolution,[status(thm)],[18924, 18914])).
% 26.40/17.66 tff(18926,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18927,plain,
% 26.40/17.66 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 26.40/17.66 inference(rewrite,[status(thm)],[])).
% 26.40/17.66 tff(18928,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 26.40/17.66 inference(monotonicity,[status(thm)],[18927])).
% 26.40/17.66 tff(18929,plain,
% 26.40/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 26.40/17.66 inference(transitivity,[status(thm)],[18928, 18926])).
% 26.40/17.66 tff(18930,plain,
% 26.40/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 26.40/17.66 inference(quant_inst,[status(thm)],[])).
% 26.40/17.66 tff(18931,plain,
% 26.40/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 26.40/17.66 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 26.40/17.66 tff(18932,plain,
% 26.40/17.66 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 26.40/17.66 inference(unit_resolution,[status(thm)],[18931, 635, 18894])).
% 26.40/17.66 tff(18933,plain,
% 26.40/17.66 (v100(constB154) | (~v110(constB154))),
% 26.40/17.66 inference(unit_resolution,[status(thm)],[18932, 18925])).
% 26.40/17.66 tff(18934,plain,
% 26.40/17.66 (v100(constB154)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18933, 18902])).
% 26.40/17.67 tff(18935,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18936,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18937,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18936, 18935])).
% 26.40/17.67 tff(18938,plain,
% 26.40/17.67 (v130(constB153, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18937, 1738, 18853])).
% 26.40/17.67 tff(18939,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18940,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18941,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 26.40/17.67 tff(18942,plain,
% 26.40/17.67 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18941, 1560, 18876])).
% 26.40/17.67 tff(18943,plain,
% 26.40/17.67 (v127(constB153, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18942, 18938])).
% 26.40/17.67 tff(18944,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18945,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18946,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18945, 18944])).
% 26.40/17.67 tff(18947,plain,
% 26.40/17.67 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18946, 1575, 18894])).
% 26.40/17.67 tff(18948,plain,
% 26.40/17.67 (v129(constB154, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18947, 18943])).
% 26.40/17.67 tff(18949,plain,
% 26.40/17.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18950,plain,
% 26.40/17.67 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18951,plain,
% 26.40/17.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[18950])).
% 26.40/17.67 tff(18952,plain,
% 26.40/17.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[18951, 18949])).
% 26.40/17.67 tff(18953,plain,
% 26.40/17.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18954,plain,
% 26.40/17.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18953, 18952])).
% 26.40/17.67 tff(18955,plain,
% 26.40/17.67 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18954, 1590, 18948])).
% 26.40/17.67 tff(18956,plain,
% 26.40/17.67 (v90(constB154, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18955, 18934])).
% 26.40/17.67 tff(18957,plain,
% 26.40/17.67 ((~v1(constB155)) <=> (~v1(constB155))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18958,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 26.40/17.67 tff(18959,plain,
% 26.40/17.67 (~v1(constB155)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 26.40/17.67 tff(18960,plain,
% 26.40/17.67 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18961,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 26.40/17.67 tff(18962,plain,
% 26.40/17.67 (nextState(constB154, constB155)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18961, 18960])).
% 26.40/17.67 tff(18963,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18964,plain,
% 26.40/17.67 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18965,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[18964])).
% 26.40/17.67 tff(18966,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[18965, 18963])).
% 26.40/17.67 tff(18967,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18968,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18967, 18966])).
% 26.40/17.67 tff(18969,plain,
% 26.40/17.67 (~v101(constB155)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18968, 342, 18962, 18959])).
% 26.40/17.67 tff(18970,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18971,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18972,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18971, 18970])).
% 26.40/17.67 tff(18973,plain,
% 26.40/17.67 (v101(constB155) | (~v100(constB155))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18972, 359, 18962])).
% 26.40/17.67 tff(18974,plain,
% 26.40/17.67 (~v100(constB155)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18973, 18969])).
% 26.40/17.67 tff(18975,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18976,plain,
% 26.40/17.67 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18977,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[18976])).
% 26.40/17.67 tff(18978,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 26.40/17.67 inference(transitivity,[status(thm)],[18977, 18975])).
% 26.40/17.67 tff(18979,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18980,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18979, 18978])).
% 26.40/17.67 tff(18981,plain,
% 26.40/17.67 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18980, 1626, 18962])).
% 26.40/17.67 tff(18982,plain,
% 26.40/17.67 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18981, 18974])).
% 26.40/17.67 tff(18983,plain,
% 26.40/17.67 (v90(constB155, bitIndex2)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18982, 18956])).
% 26.40/17.67 tff(18984,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18985,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18986,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 26.40/17.67 tff(18987,plain,
% 26.40/17.67 (~v130(constB153, bitIndex1)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18986, 1893, 18853])).
% 26.40/17.67 tff(18988,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18989,plain,
% 26.40/17.67 ((v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1))) <=> ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18990,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[18989])).
% 26.40/17.67 tff(18991,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 26.40/17.67 inference(transitivity,[status(thm)],[18990, 18988])).
% 26.40/17.67 tff(18992,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18993,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 26.40/17.67 tff(18994,plain,
% 26.40/17.67 ((~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18993, 751, 18876])).
% 26.40/17.67 tff(18995,plain,
% 26.40/17.67 (~v127(constB153, bitIndex1)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18994, 18987])).
% 26.40/17.67 tff(18996,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(18997,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(18998,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 26.40/17.67 tff(18999,plain,
% 26.40/17.67 (v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18998, 769, 18894])).
% 26.40/17.67 tff(19000,plain,
% 26.40/17.67 (~v129(constB154, bitIndex1)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[18999, 18995])).
% 26.40/17.67 tff(19001,plain,
% 26.40/17.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19002,plain,
% 26.40/17.67 (((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19003,plain,
% 26.40/17.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[19002])).
% 26.40/17.67 tff(19004,plain,
% 26.40/17.67 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[19003, 19001])).
% 26.40/17.67 tff(19005,plain,
% 26.40/17.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19006,plain,
% 26.40/17.67 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19005, 19004])).
% 26.40/17.67 tff(19007,plain,
% 26.40/17.67 ((~v90(constB154, bitIndex1)) | (~v100(constB154))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19006, 784, 19000])).
% 26.40/17.67 tff(19008,plain,
% 26.40/17.67 (~v90(constB154, bitIndex1)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19007, 18934])).
% 26.40/17.67 tff(19009,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19010,plain,
% 26.40/17.67 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19011,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[19010])).
% 26.40/17.67 tff(19012,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[19011, 19009])).
% 26.40/17.67 tff(19013,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19014,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19013, 19012])).
% 26.40/17.67 tff(19015,plain,
% 26.40/17.67 (v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19014, 395, 18962])).
% 26.40/17.67 tff(19016,plain,
% 26.40/17.67 (v90(constB154, bitIndex1) | (~v90(constB155, bitIndex1))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19015, 18974])).
% 26.40/17.67 tff(19017,plain,
% 26.40/17.67 (~v90(constB155, bitIndex1)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19016, 19008])).
% 26.40/17.67 tff(19018,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19019,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19020,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19019, 19018])).
% 26.40/17.67 tff(19021,plain,
% 26.40/17.67 (v130(constB153, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19020, 1934, 18853])).
% 26.40/17.67 tff(19022,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19023,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19024,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 26.40/17.67 tff(19025,plain,
% 26.40/17.67 ((~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19024, 822, 18876])).
% 26.40/17.67 tff(19026,plain,
% 26.40/17.67 (v127(constB153, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19025, 19021])).
% 26.40/17.67 tff(19027,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19028,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19029,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19028, 19027])).
% 26.40/17.67 tff(19030,plain,
% 26.40/17.67 ((~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19029, 837, 18894])).
% 26.40/17.67 tff(19031,plain,
% 26.40/17.67 (v129(constB154, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19030, 19026])).
% 26.40/17.67 tff(19032,plain,
% 26.40/17.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19033,plain,
% 26.40/17.67 ((v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19034,plain,
% 26.40/17.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[19033])).
% 26.40/17.67 tff(19035,plain,
% 26.40/17.67 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[19034, 19032])).
% 26.40/17.67 tff(19036,plain,
% 26.40/17.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19037,plain,
% 26.40/17.67 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 26.40/17.67 tff(19038,plain,
% 26.40/17.67 (v90(constB154, bitIndex0) | (~v100(constB154))),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19037, 852, 19031])).
% 26.40/17.67 tff(19039,plain,
% 26.40/17.67 (v90(constB154, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19038, 18934])).
% 26.40/17.67 tff(19040,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19041,plain,
% 26.40/17.67 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19042,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[19041])).
% 26.40/17.67 tff(19043,plain,
% 26.40/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 26.40/17.67 inference(transitivity,[status(thm)],[19042, 19040])).
% 26.40/17.67 tff(19044,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19045,plain,
% 26.40/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19044, 19043])).
% 26.40/17.67 tff(19046,plain,
% 26.40/17.67 ((~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19045, 870, 18962])).
% 26.40/17.67 tff(19047,plain,
% 26.40/17.67 ((~v90(constB154, bitIndex0)) | v90(constB155, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19046, 18974])).
% 26.40/17.67 tff(19048,plain,
% 26.40/17.67 (v90(constB155, bitIndex0)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19047, 19039])).
% 26.40/17.67 tff(19049,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19050,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19051,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 26.40/17.67 tff(19052,plain,
% 26.40/17.67 (v124(constB155)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19051, 1975, 19048, 19017, 18983])).
% 26.40/17.67 tff(19053,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19054,plain,
% 26.40/17.67 (((~v124(constB155)) | v114(constB155)) <=> (v114(constB155) | (~v124(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19055,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v124(constB155))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[19054])).
% 26.40/17.67 tff(19056,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[19055, 19053])).
% 26.40/17.67 tff(19057,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19058,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155))),
% 26.40/17.67 inference(modus_ponens,[status(thm)],[19057, 19056])).
% 26.40/17.67 tff(19059,plain,
% 26.40/17.67 (v114(constB155)),
% 26.40/17.67 inference(unit_resolution,[status(thm)],[19058, 1986, 19052])).
% 26.40/17.67 tff(19060,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19061,plain,
% 26.40/17.67 (((~v114(constB155)) | v113(constB155)) <=> (v113(constB155) | (~v114(constB155)))),
% 26.40/17.67 inference(rewrite,[status(thm)],[])).
% 26.40/17.67 tff(19062,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155))))),
% 26.40/17.67 inference(monotonicity,[status(thm)],[19061])).
% 26.40/17.67 tff(19063,plain,
% 26.40/17.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 26.40/17.67 inference(transitivity,[status(thm)],[19062, 19060])).
% 26.40/17.67 tff(19064,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))),
% 26.40/17.67 inference(quant_inst,[status(thm)],[])).
% 26.40/17.67 tff(19065,plain,
% 26.40/17.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 26.40/17.68 tff(19066,plain,
% 26.40/17.68 (v113(constB155)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19065, 518, 19059])).
% 26.40/17.68 tff(19067,assumption,(v26(constB155)), introduced(assumption)).
% 26.40/17.68 tff(19068,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19069,plain,
% 26.40/17.68 ($false),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19068, 120, 19067])).
% 26.40/17.68 tff(19070,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.68 tff(19071,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19072,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19073,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19072, 19071])).
% 26.40/17.68 tff(19074,plain,
% 26.40/17.68 ((~v113(constB155)) | v112(constB155)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19073, 532, 19070])).
% 26.40/17.68 tff(19075,plain,
% 26.40/17.68 (v112(constB155)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19074, 19066])).
% 26.40/17.68 tff(19076,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19077,plain,
% 26.40/17.68 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19078,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19077])).
% 26.40/17.68 tff(19079,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19078, 19076])).
% 26.40/17.68 tff(19080,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19081,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 26.40/17.68 tff(19082,plain,
% 26.40/17.68 (v108(constB155)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19081, 544, 19075])).
% 26.40/17.68 tff(19083,plain,
% 26.40/17.68 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19084,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 26.40/17.68 tff(19085,plain,
% 26.40/17.68 (nextState(constB155, constB156)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19084, 19083])).
% 26.40/17.68 tff(19086,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19087,plain,
% 26.40/17.68 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19088,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19087])).
% 26.40/17.68 tff(19089,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19088, 19086])).
% 26.40/17.68 tff(19090,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19091,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19090, 19089])).
% 26.40/17.68 tff(19092,plain,
% 26.40/17.68 (v110(constB156) | (~v108(constB155))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19091, 564, 19085])).
% 26.40/17.68 tff(19093,plain,
% 26.40/17.68 (v110(constB156)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19092, 19082])).
% 26.40/17.68 tff(19094,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19095,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19096,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19095, 19094])).
% 26.40/17.68 tff(19097,plain,
% 26.40/17.68 (~v104(constB156)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19096, 582, 19085, 18959])).
% 26.40/17.68 tff(19098,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19099,plain,
% 26.40/17.68 (((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19100,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19099])).
% 26.40/17.68 tff(19101,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19100, 19098])).
% 26.40/17.68 tff(19102,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19103,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | v102(constB156)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19102, 19101])).
% 26.40/17.68 tff(19104,plain,
% 26.40/17.68 (v104(constB156) | v102(constB156)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19103, 596, 19085])).
% 26.40/17.68 tff(19105,plain,
% 26.40/17.68 (v102(constB156)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19104, 19097])).
% 26.40/17.68 tff(19106,plain,
% 26.40/17.68 (v1(constB156) <=> v1(constB156)),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19107,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 26.40/17.68 tff(19108,plain,
% 26.40/17.68 (v1(constB156)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19107, 19106])).
% 26.40/17.68 tff(19109,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19110,plain,
% 26.40/17.68 (((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))) <=> ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19111,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19110])).
% 26.40/17.68 tff(19112,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19111, 19109])).
% 26.40/17.68 tff(19113,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19114,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | (~v1(constB156)) | v101(constB156) | (~v102(constB156))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 26.40/17.68 tff(19115,plain,
% 26.40/17.68 (v101(constB156) | (~v102(constB156))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19114, 617, 19085, 19108])).
% 26.40/17.68 tff(19116,plain,
% 26.40/17.68 (v101(constB156)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19115, 19105])).
% 26.40/17.68 tff(19117,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19118,plain,
% 26.40/17.68 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19119,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19118])).
% 26.40/17.68 tff(19120,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19119, 19117])).
% 26.40/17.68 tff(19121,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19122,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19121, 19120])).
% 26.40/17.68 tff(19123,plain,
% 26.40/17.68 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19122, 635, 19085])).
% 26.40/17.68 tff(19124,plain,
% 26.40/17.68 (v100(constB156) | (~v110(constB156))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19123, 19116])).
% 26.40/17.68 tff(19125,plain,
% 26.40/17.68 (v100(constB156)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19124, 19093])).
% 26.40/17.68 tff(19126,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19127,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19128,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19127, 19126])).
% 26.40/17.68 tff(19129,plain,
% 26.40/17.68 (~v130(constB155, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19128, 2160, 19052])).
% 26.40/17.68 tff(19130,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19131,plain,
% 26.40/17.68 ((v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0))) <=> ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19132,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19131])).
% 26.40/17.68 tff(19133,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19132, 19130])).
% 26.40/17.68 tff(19134,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19135,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 26.40/17.68 tff(19136,plain,
% 26.40/17.68 ((~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19135, 1153, 19070])).
% 26.40/17.68 tff(19137,plain,
% 26.40/17.68 (~v127(constB155, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19136, 19129])).
% 26.40/17.68 tff(19138,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19139,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19140,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19139, 19138])).
% 26.40/17.68 tff(19141,plain,
% 26.40/17.68 (v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19140, 1171, 19085])).
% 26.40/17.68 tff(19142,plain,
% 26.40/17.68 (~v129(constB156, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19141, 19137])).
% 26.40/17.68 tff(19143,plain,
% 26.40/17.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19144,plain,
% 26.40/17.68 (((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19145,plain,
% 26.40/17.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19144])).
% 26.40/17.68 tff(19146,plain,
% 26.40/17.68 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19145, 19143])).
% 26.40/17.68 tff(19147,plain,
% 26.40/17.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19148,plain,
% 26.40/17.68 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19147, 19146])).
% 26.40/17.68 tff(19149,plain,
% 26.40/17.68 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19148, 1186, 19142])).
% 26.40/17.68 tff(19150,plain,
% 26.40/17.68 (~v90(constB156, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19149, 19125])).
% 26.40/17.68 tff(19151,plain,
% 26.40/17.68 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19152,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 26.40/17.68 tff(19153,plain,
% 26.40/17.68 (nextState(constB156, constB157)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 26.40/17.68 tff(19154,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19155,plain,
% 26.40/17.68 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19156,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19155])).
% 26.40/17.68 tff(19157,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19156, 19154])).
% 26.40/17.68 tff(19158,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19159,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19158, 19157])).
% 26.40/17.68 tff(19160,plain,
% 26.40/17.68 (~v101(constB157)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19159, 342, 19153, 8443])).
% 26.40/17.68 tff(19161,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19162,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19163,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19162, 19161])).
% 26.40/17.68 tff(19164,plain,
% 26.40/17.68 (v101(constB157) | (~v100(constB157))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19163, 359, 19153])).
% 26.40/17.68 tff(19165,plain,
% 26.40/17.68 (~v100(constB157)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19164, 19160])).
% 26.40/17.68 tff(19166,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19167,plain,
% 26.40/17.68 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19168,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))))),
% 26.40/17.68 inference(monotonicity,[status(thm)],[19167])).
% 26.40/17.68 tff(19169,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 26.40/17.68 inference(transitivity,[status(thm)],[19168, 19166])).
% 26.40/17.68 tff(19170,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19171,plain,
% 26.40/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19170, 19169])).
% 26.40/17.68 tff(19172,plain,
% 26.40/17.68 (v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19171, 416, 19153])).
% 26.40/17.68 tff(19173,plain,
% 26.40/17.68 (v90(constB156, bitIndex0) | (~v90(constB157, bitIndex0))),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19172, 19165])).
% 26.40/17.68 tff(19174,plain,
% 26.40/17.68 (~v90(constB157, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19173, 19150])).
% 26.40/17.68 tff(19175,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB157, bitIndex0)) | v90(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB157, bitIndex0)) | v90(constB157, bitIndex0))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19176,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB157, bitIndex0)) | v90(constB157, bitIndex0))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19177,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB157, bitIndex0)) | v90(constB157, bitIndex0)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 26.40/17.68 tff(19178,plain,
% 26.40/17.68 (~v88(constB157, bitIndex0)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19177, 7950, 19174])).
% 26.40/17.68 tff(19179,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19180,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19181,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 26.40/17.68 tff(19182,plain,
% 26.40/17.68 (v130(constB155, bitIndex2)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19181, 2066, 19052])).
% 26.40/17.68 tff(19183,plain,
% 26.40/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 26.40/17.68 inference(rewrite,[status(thm)],[])).
% 26.40/17.68 tff(19184,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 26.40/17.68 inference(quant_inst,[status(thm)],[])).
% 26.40/17.68 tff(19185,plain,
% 26.40/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 26.40/17.68 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 26.40/17.68 tff(19186,plain,
% 26.40/17.68 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19185, 1560, 19070])).
% 26.40/17.68 tff(19187,plain,
% 26.40/17.68 (v127(constB155, bitIndex2)),
% 26.40/17.68 inference(unit_resolution,[status(thm)],[19186, 19182])).
% 26.40/17.68 tff(19188,plain,
% 26.40/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19189,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19190,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 26.40/17.69 tff(19191,plain,
% 26.40/17.69 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19190, 1575, 19085])).
% 26.40/17.69 tff(19192,plain,
% 26.40/17.69 (v129(constB156, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19191, 19187])).
% 26.40/17.69 tff(19193,plain,
% 26.40/17.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19194,plain,
% 26.40/17.69 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19195,plain,
% 26.40/17.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19194])).
% 26.40/17.69 tff(19196,plain,
% 26.40/17.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19195, 19193])).
% 26.40/17.69 tff(19197,plain,
% 26.40/17.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19198,plain,
% 26.40/17.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 26.40/17.69 tff(19199,plain,
% 26.40/17.69 (v90(constB156, bitIndex2) | (~v100(constB156))),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19198, 1590, 19192])).
% 26.40/17.69 tff(19200,plain,
% 26.40/17.69 (v90(constB156, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19199, 19125])).
% 26.40/17.69 tff(19201,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19202,plain,
% 26.40/17.69 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19203,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19202])).
% 26.40/17.69 tff(19204,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19203, 19201])).
% 26.40/17.69 tff(19205,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19206,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19205, 19204])).
% 26.40/17.69 tff(19207,plain,
% 26.40/17.69 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19206, 1626, 19153])).
% 26.40/17.69 tff(19208,plain,
% 26.40/17.69 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19207, 19165])).
% 26.40/17.69 tff(19209,plain,
% 26.40/17.69 (v90(constB157, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19208, 19200])).
% 26.40/17.69 tff(19210,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19211,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19212,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex2)) | v88(constB157, bitIndex2)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 26.40/17.69 tff(19213,plain,
% 26.40/17.69 (v88(constB157, bitIndex2)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19212, 7992, 19209])).
% 26.40/17.69 tff(19214,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19215,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19216,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19215, 19214])).
% 26.40/17.69 tff(19217,plain,
% 26.40/17.69 (v130(constB155, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19216, 2122, 19052])).
% 26.40/17.69 tff(19218,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19219,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19220,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19219, 19218])).
% 26.40/17.69 tff(19221,plain,
% 26.40/17.69 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19220, 1075, 19070])).
% 26.40/17.69 tff(19222,plain,
% 26.40/17.69 (v127(constB155, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19221, 19217])).
% 26.40/17.69 tff(19223,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19224,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19225,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19224, 19223])).
% 26.40/17.69 tff(19226,plain,
% 26.40/17.69 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19225, 1090, 19085])).
% 26.40/17.69 tff(19227,plain,
% 26.40/17.69 (v129(constB156, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19226, 19222])).
% 26.40/17.69 tff(19228,plain,
% 26.40/17.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19229,plain,
% 26.40/17.69 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19230,plain,
% 26.40/17.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19229])).
% 26.40/17.69 tff(19231,plain,
% 26.40/17.69 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19230, 19228])).
% 26.40/17.69 tff(19232,plain,
% 26.40/17.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19233,plain,
% 26.40/17.69 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19232, 19231])).
% 26.40/17.69 tff(19234,plain,
% 26.40/17.69 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19233, 1105, 19227])).
% 26.40/17.69 tff(19235,plain,
% 26.40/17.69 (v90(constB156, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19234, 19125])).
% 26.40/17.69 tff(19236,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19237,plain,
% 26.40/17.69 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19238,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19237])).
% 26.40/17.69 tff(19239,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19238, 19236])).
% 26.40/17.69 tff(19240,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19241,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 26.40/17.69 tff(19242,plain,
% 26.40/17.69 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19241, 1123, 19153])).
% 26.40/17.69 tff(19243,plain,
% 26.40/17.69 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19242, 19165])).
% 26.40/17.69 tff(19244,plain,
% 26.40/17.69 (v90(constB157, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19243, 19235])).
% 26.40/17.69 tff(19245,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19246,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19247,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB157, bitIndex1)) | v88(constB157, bitIndex1)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19246, 19245])).
% 26.40/17.69 tff(19248,plain,
% 26.40/17.69 (v88(constB157, bitIndex1)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19247, 8034, 19244])).
% 26.40/17.69 tff(19249,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19250,plain,
% 26.40/17.69 (((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157)) <=> ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19251,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157)))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19250])).
% 26.40/17.69 tff(19252,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19251, 19249])).
% 26.40/17.69 tff(19253,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex1)) | v88(constB157, bitIndex0) | v144(constB157))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19254,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0) | v144(constB157)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 26.40/17.69 tff(19255,plain,
% 26.40/17.69 (v144(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19254, 8048, 19248, 19213, 19178])).
% 26.40/17.69 tff(19256,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB157)) | v142(constB157))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19257,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19258,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB157)) | v142(constB157)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19257, 19256])).
% 26.40/17.69 tff(19259,plain,
% 26.40/17.69 (v142(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19258, 8062, 19255])).
% 26.40/17.69 tff(19260,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB157)) | v167(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB157)) | v167(constB157))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19261,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB157)) | v167(constB157))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19262,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB157)) | v167(constB157)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 26.40/17.69 tff(19263,plain,
% 26.40/17.69 (v167(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19262, 8073, 19259])).
% 26.40/17.69 tff(19264,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB157)) | (~v170(constB157)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB157)) | (~v170(constB157)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19265,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB157)) | (~v170(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19266,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB157)) | (~v170(constB157))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 26.40/17.69 tff(19267,plain,
% 26.40/17.69 (~v170(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19266, 8084, 19263])).
% 26.40/17.69 tff(19268,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB157) | (~v167(constB157)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB157) | (~v167(constB157)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19269,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB157) | (~v167(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19270,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB157) | (~v167(constB157))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19269, 19268])).
% 26.40/17.69 tff(19271,plain,
% 26.40/17.69 (v166(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19270, 8098, 19263])).
% 26.40/17.69 tff(19272,plain,
% 26.40/17.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB157)) | (~v166(constB157)) | v170(constB157))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB157)) | (~v166(constB157)) | v170(constB157))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19273,plain,
% 26.40/17.69 (((~v166(constB157)) | v170(constB157) | (~v163(constB157))) <=> ((~v163(constB157)) | (~v166(constB157)) | v170(constB157))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19274,plain,
% 26.40/17.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB157)) | v170(constB157) | (~v163(constB157)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB157)) | (~v166(constB157)) | v170(constB157)))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19273])).
% 26.40/17.69 tff(19275,plain,
% 26.40/17.69 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB157)) | v170(constB157) | (~v163(constB157)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB157)) | (~v166(constB157)) | v170(constB157))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19274, 19272])).
% 26.40/17.69 tff(19276,plain,
% 26.40/17.69 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB157)) | v170(constB157) | (~v163(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19277,plain,
% 26.40/17.69 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB157)) | (~v166(constB157)) | v170(constB157)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19276, 19275])).
% 26.40/17.69 tff(19278,plain,
% 26.40/17.69 (~v163(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19277, 8112, 19271, 19267])).
% 26.40/17.69 tff(19279,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB157) | (~v201(constB157)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB157) | (~v201(constB157)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19280,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB157) | (~v201(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19281,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB157) | (~v201(constB157))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19280, 19279])).
% 26.40/17.69 tff(19282,plain,
% 26.40/17.69 (~v201(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19281, 8129, 19278])).
% 26.40/17.69 tff(19283,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB157) | (~v200(constB157)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB157) | (~v200(constB157)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19284,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB157) | (~v200(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19285,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB157) | (~v200(constB157))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19284, 19283])).
% 26.40/17.69 tff(19286,plain,
% 26.40/17.69 (~v200(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19285, 8143, 19282])).
% 26.40/17.69 tff(19287,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB157) | (~v198(constB157)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB157) | (~v198(constB157)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19288,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB157) | (~v198(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19289,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB157) | (~v198(constB157))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19288, 19287])).
% 26.40/17.69 tff(19290,plain,
% 26.40/17.69 (~v198(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19289, 8157, 19286])).
% 26.40/17.69 tff(19291,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB157) | v198(constB157) | (~v191(constB157)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB157) | v198(constB157) | (~v191(constB157)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19292,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB157) | v198(constB157) | (~v191(constB157)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19293,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB157) | v198(constB157) | (~v191(constB157))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19292, 19291])).
% 26.40/17.69 tff(19294,plain,
% 26.40/17.69 (v194(constB157) | (~v191(constB157))),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19293, 8171, 19290])).
% 26.40/17.69 tff(19295,plain,
% 26.40/17.69 (~v191(constB157)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19294, 8456])).
% 26.40/17.69 tff(19296,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19297,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19298,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB157, constB158)) | v191(constB157) | (~v193(constB158))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19297, 19296])).
% 26.40/17.69 tff(19299,plain,
% 26.40/17.69 (v191(constB157) | (~v193(constB158))),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19298, 8186, 8435])).
% 26.40/17.69 tff(19300,plain,
% 26.40/17.69 (~v193(constB158)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19299, 19295])).
% 26.40/17.69 tff(19301,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB158) | (~v194(constB158)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB158) | (~v194(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19302,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB158) | (~v194(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19303,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB158) | (~v194(constB158))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19302, 19301])).
% 26.40/17.69 tff(19304,plain,
% 26.40/17.69 (~v194(constB158)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19303, 8201, 19300])).
% 26.40/17.69 tff(19305,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB158)) | (~v197(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB158)) | (~v197(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19306,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB158)) | (~v197(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19307,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB158)) | (~v197(constB158))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 26.40/17.69 tff(19308,plain,
% 26.40/17.69 (~v197(constB158)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19307, 8215, 8419])).
% 26.40/17.69 tff(19309,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB158) | (~v200(constB158)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB158) | (~v200(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19310,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB158) | (~v200(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19311,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB158) | (~v200(constB158))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19310, 19309])).
% 26.40/17.69 tff(19312,plain,
% 26.40/17.69 (~v200(constB158)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19311, 8229, 19308])).
% 26.40/17.69 tff(19313,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB158) | (~v198(constB158)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB158) | (~v198(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19314,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB158) | (~v198(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19315,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB158) | (~v198(constB158))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19314, 19313])).
% 26.40/17.69 tff(19316,plain,
% 26.40/17.69 (~v198(constB158)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19315, 8157, 19312])).
% 26.40/17.69 tff(19317,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB158) | v198(constB158) | (~v191(constB158)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB158) | v198(constB158) | (~v191(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19318,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB158) | v198(constB158) | (~v191(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19319,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB158) | v198(constB158) | (~v191(constB158))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 26.40/17.69 tff(19320,plain,
% 26.40/17.69 (v194(constB158) | (~v191(constB158))),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19319, 8171, 19316])).
% 26.40/17.69 tff(19321,plain,
% 26.40/17.69 (~v191(constB158)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19320, 19304])).
% 26.40/17.69 tff(19322,plain,
% 26.40/17.69 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19323,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 26.40/17.69 tff(19324,plain,
% 26.40/17.69 (nextState(constB158, constB159)),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19323, 19322])).
% 26.40/17.69 tff(19325,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19326,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19327,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB158, constB159)) | v191(constB158) | (~v193(constB159))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 26.40/17.69 tff(19328,plain,
% 26.40/17.69 (v191(constB158) | (~v193(constB159))),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19327, 8186, 19324])).
% 26.40/17.69 tff(19329,plain,
% 26.40/17.69 (~v193(constB159)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19328, 19321])).
% 26.40/17.69 tff(19330,plain,
% 26.40/17.69 ($false),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19329, 8412])).
% 26.40/17.69 tff(19331,plain,(~(constB159 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.69 tff(19332,plain,
% 26.40/17.69 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB159) | (~v194(constB159)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB159) | (~v194(constB159)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19333,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB159) | (~v194(constB159)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19334,plain,
% 26.40/17.69 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB159) | (~v194(constB159))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 26.40/17.69 tff(19335,plain,
% 26.40/17.69 (~v194(constB159)),
% 26.40/17.69 inference(unit_resolution,[status(thm)],[19334, 8201, 19329])).
% 26.40/17.69 tff(19336,plain,
% 26.40/17.69 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))))),
% 26.40/17.69 inference(bind,[status(th)],[])).
% 26.40/17.69 tff(19337,plain,
% 26.40/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(quant_intro,[status(thm)],[19336])).
% 26.40/17.69 tff(19338,plain,
% 26.40/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19339,plain,
% 26.40/17.69 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v186(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))))),
% 26.40/17.69 inference(bind,[status(th)],[])).
% 26.40/17.69 tff(19340,plain,
% 26.40/17.69 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(quant_intro,[status(thm)],[19339])).
% 26.40/17.69 tff(19341,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v186(VarNext))) | v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_1_1_2')).
% 26.40/17.69 tff(19342,plain,
% 26.40/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19341, 19340])).
% 26.40/17.69 tff(19343,plain,
% 26.40/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19342, 19338])).
% 26.40/17.69 tff(19344,plain,(
% 26.40/17.69 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(skolemize,[status(sab)],[19343])).
% 26.40/17.69 tff(19345,plain,
% 26.40/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))),
% 26.40/17.69 inference(modus_ponens,[status(thm)],[19344, 19337])).
% 26.40/17.69 tff(19346,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19347,plain,
% 26.40/17.69 (((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158))) <=> (v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))),
% 26.40/17.69 inference(rewrite,[status(thm)],[])).
% 26.40/17.69 tff(19348,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158))))),
% 26.40/17.69 inference(monotonicity,[status(thm)],[19347])).
% 26.40/17.69 tff(19349,plain,
% 26.40/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158)))),
% 26.40/17.69 inference(transitivity,[status(thm)],[19348, 19346])).
% 26.40/17.69 tff(19350,plain,
% 26.40/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB157, constB158)) | v163(constB157) | (~v186(constB158)))),
% 26.40/17.69 inference(quant_inst,[status(thm)],[])).
% 26.40/17.69 tff(19351,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB157) | (~nextState(constB157, constB158)) | (~v186(constB158))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19350, 19349])).
% 26.40/17.70 tff(19352,plain,
% 26.40/17.70 (v163(constB157) | (~v186(constB158))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19351, 19345, 8435])).
% 26.40/17.70 tff(19353,plain,
% 26.40/17.70 (~v186(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19352, 19278])).
% 26.40/17.70 tff(19354,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19355,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19356,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19355, 19354])).
% 26.40/17.70 tff(19357,plain,
% 26.40/17.70 (~v104(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19356, 582, 8435, 8443])).
% 26.40/17.70 tff(19358,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19359,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19358])).
% 26.40/17.70 tff(19360,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19361,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v181(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v181(VarNext))), ((((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))), ((((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19362,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19361])).
% 26.40/17.70 tff(19363,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v181(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_14_1_2')).
% 26.40/17.70 tff(19364,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19363, 19362])).
% 26.40/17.70 tff(19365,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19364, 19360])).
% 26.40/17.70 tff(19366,plain,(
% 26.40/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19365])).
% 26.40/17.70 tff(19367,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19366, 19359])).
% 26.40/17.70 tff(19368,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19369,plain,
% 26.40/17.70 (((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158)) <=> ((~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19370,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v181(constB158) | v104(constB158)))),
% 26.40/17.70 inference(monotonicity,[status(thm)],[19369])).
% 26.40/17.70 tff(19371,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB157, constB158)) | v181(constB158) | v104(constB158))),
% 26.40/17.70 inference(transitivity,[status(thm)],[19370, 19368])).
% 26.40/17.70 tff(19372,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v181(constB158))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19373,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB157, constB158)) | v181(constB158) | v104(constB158)),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 26.40/17.70 tff(19374,plain,
% 26.40/17.70 (v181(constB158) | v104(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19373, 19367, 8435])).
% 26.40/17.70 tff(19375,plain,
% 26.40/17.70 (v181(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19374, 19357])).
% 26.40/17.70 tff(19376,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19377,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19376])).
% 26.40/17.70 tff(19378,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19379,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v181(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext))) | v180(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | (~v181(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19380,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19379])).
% 26.40/17.70 tff(19381,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v181(VarNext))) | (~v1(VarNext))) | v180(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1')).
% 26.40/17.70 tff(19382,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19381, 19380])).
% 26.40/17.70 tff(19383,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19382, 19378])).
% 26.40/17.70 tff(19384,plain,(
% 26.40/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19383])).
% 26.40/17.70 tff(19385,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19384, 19377])).
% 26.40/17.70 tff(19386,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19387,plain,
% 26.40/17.70 (((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158))) <=> ((~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19388,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158))))),
% 26.40/17.70 inference(monotonicity,[status(thm)],[19387])).
% 26.40/17.70 tff(19389,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158)))),
% 26.40/17.70 inference(transitivity,[status(thm)],[19388, 19386])).
% 26.40/17.70 tff(19390,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v180(constB158) | (~v181(constB158)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19391,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB157, constB158)) | v180(constB158) | (~v1(constB158)) | (~v181(constB158))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 26.40/17.70 tff(19392,plain,
% 26.40/17.70 (v180(constB158) | (~v181(constB158))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19391, 19385, 8435, 8419])).
% 26.40/17.70 tff(19393,plain,
% 26.40/17.70 (v180(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19392, 19375])).
% 26.40/17.70 tff(19394,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19395,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19394])).
% 26.40/17.70 tff(19396,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19397,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19398,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19397])).
% 26.40/17.70 tff(19399,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v179(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1')).
% 26.40/17.70 tff(19400,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19399, 19398])).
% 26.40/17.70 tff(19401,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19400, 19396])).
% 26.40/17.70 tff(19402,plain,(
% 26.40/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19401])).
% 26.40/17.70 tff(19403,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19402, 19395])).
% 26.40/17.70 tff(19404,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19405,plain,
% 26.40/17.70 (((~nextState(constB157, constB158)) | (~v180(constB158)) | v179(constB158)) <=> ((~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19406,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB157, constB158)) | (~v180(constB158)) | v179(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158))))),
% 26.40/17.70 inference(monotonicity,[status(thm)],[19405])).
% 26.40/17.70 tff(19407,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB157, constB158)) | (~v180(constB158)) | v179(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158)))),
% 26.40/17.70 inference(transitivity,[status(thm)],[19406, 19404])).
% 26.40/17.70 tff(19408,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB157, constB158)) | (~v180(constB158)) | v179(constB158))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19409,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB157, constB158)) | v179(constB158) | (~v180(constB158))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 26.40/17.70 tff(19410,plain,
% 26.40/17.70 (v179(constB158) | (~v180(constB158))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19409, 19403, 8435])).
% 26.40/17.70 tff(19411,plain,
% 26.40/17.70 (v179(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19410, 19393])).
% 26.40/17.70 tff(19412,plain,
% 26.40/17.70 (^[VarNext: state_type] : refl((v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))) <=> (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19413,plain,
% 26.40/17.70 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))) <=> ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19412])).
% 26.40/17.70 tff(19414,plain,
% 26.40/17.70 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext))) <=> ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19415,plain,
% 26.40/17.70 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v179(VarNext)) | (~v159(VarNext))) <=> ((~v159(VarNext)) | (~v179(VarNext)))), ((((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext)) <=> (((~v159(VarNext)) | (~v179(VarNext))) | v186(VarNext)))), rewrite((((~v159(VarNext)) | (~v179(VarNext))) | v186(VarNext)) <=> (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))), ((((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext)) <=> (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19416,plain,
% 26.40/17.70 (![VarNext: state_type] : (((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext)) <=> ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19415])).
% 26.40/17.70 tff(19417,axiom,(![VarNext: state_type] : (((~v179(VarNext)) | (~v159(VarNext))) | v186(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 26.40/17.70 tff(19418,plain,
% 26.40/17.70 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19417, 19416])).
% 26.40/17.70 tff(19419,plain,
% 26.40/17.70 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19418, 19414])).
% 26.40/17.70 tff(19420,plain,(
% 26.40/17.70 ![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19419])).
% 26.40/17.70 tff(19421,plain,
% 26.40/17.70 (![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19420, 19413])).
% 26.40/17.70 tff(19422,plain,
% 26.40/17.70 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB158) | (~v159(constB158)) | (~v179(constB158)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB158) | (~v159(constB158)) | (~v179(constB158)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19423,plain,
% 26.40/17.70 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB158) | (~v159(constB158)) | (~v179(constB158)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19424,plain,
% 26.40/17.70 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB158) | (~v159(constB158)) | (~v179(constB158))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19423, 19422])).
% 26.40/17.70 tff(19425,plain,
% 26.40/17.70 (v186(constB158) | (~v159(constB158))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19424, 19421, 19411])).
% 26.40/17.70 tff(19426,plain,
% 26.40/17.70 (~v159(constB158)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19425, 19353])).
% 26.40/17.70 tff(19427,plain,
% 26.40/17.70 ((~v1(constB159)) <=> (~v1(constB159))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19428,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 26.40/17.70 tff(19429,plain,
% 26.40/17.70 (~v1(constB159)),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19428, 19427])).
% 26.40/17.70 tff(19430,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19431,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19430])).
% 26.40/17.70 tff(19432,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19433,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19434,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19433])).
% 26.40/17.70 tff(19435,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_2')).
% 26.40/17.70 tff(19436,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 26.40/17.70 tff(19437,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19436, 19432])).
% 26.40/17.70 tff(19438,plain,(
% 26.40/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19437])).
% 26.40/17.70 tff(19439,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19438, 19431])).
% 26.40/17.70 tff(19440,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19441,plain,
% 26.40/17.70 (((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159))) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19442,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159))))),
% 26.40/17.70 inference(monotonicity,[status(thm)],[19441])).
% 26.40/17.70 tff(19443,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159)))),
% 26.40/17.70 inference(transitivity,[status(thm)],[19442, 19440])).
% 26.40/17.70 tff(19444,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v1(constB159) | (~v180(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19445,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v180(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19444, 19443])).
% 26.40/17.70 tff(19446,plain,
% 26.40/17.70 (~v180(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19445, 19439, 19324, 19429])).
% 26.40/17.70 tff(19447,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19448,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19447])).
% 26.40/17.70 tff(19449,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19450,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v179(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19451,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19450])).
% 26.40/17.70 tff(19452,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v179(VarNext))) | v180(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_2')).
% 26.40/17.70 tff(19453,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19452, 19451])).
% 26.40/17.70 tff(19454,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19453, 19449])).
% 26.40/17.70 tff(19455,plain,(
% 26.40/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19454])).
% 26.40/17.70 tff(19456,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19455, 19448])).
% 26.40/17.70 tff(19457,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19458,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19459,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB158, constB159)) | v180(constB159) | (~v179(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 26.40/17.70 tff(19460,plain,
% 26.40/17.70 (v180(constB159) | (~v179(constB159))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19459, 19456, 19324])).
% 26.40/17.70 tff(19461,plain,
% 26.40/17.70 (~v179(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19460, 19446])).
% 26.40/17.70 tff(19462,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19463,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19462])).
% 26.40/17.70 tff(19464,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19465,plain,
% 26.40/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v179(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext))), ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext)))), ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext))))), (((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext))) | v159(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | v179(VarNext) | (~v159(VarNext))) | v159(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19466,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19465])).
% 26.40/17.70 tff(19467,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v179(VarNext)) | (~v159(VarNext))) | v159(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1_2')).
% 26.40/17.70 tff(19468,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 26.40/17.70 tff(19469,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19468, 19464])).
% 26.40/17.70 tff(19470,plain,(
% 26.40/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19469])).
% 26.40/17.70 tff(19471,plain,
% 26.40/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19470, 19463])).
% 26.40/17.70 tff(19472,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19473,plain,
% 26.40/17.70 (((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159))) <=> (v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19474,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159))))),
% 26.40/17.70 inference(monotonicity,[status(thm)],[19473])).
% 26.40/17.70 tff(19475,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159)))),
% 26.40/17.70 inference(transitivity,[status(thm)],[19474, 19472])).
% 26.40/17.70 tff(19476,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB158, constB159)) | v179(constB159) | v159(constB158) | (~v159(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19477,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB158) | (~nextState(constB158, constB159)) | v179(constB159) | (~v159(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19476, 19475])).
% 26.40/17.70 tff(19478,plain,
% 26.40/17.70 (v159(constB158) | v179(constB159) | (~v159(constB159))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19477, 19471, 19324])).
% 26.40/17.70 tff(19479,plain,
% 26.40/17.70 (v159(constB158) | (~v159(constB159))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19478, 19461])).
% 26.40/17.70 tff(19480,plain,
% 26.40/17.70 (~v159(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19479, 19426])).
% 26.40/17.70 tff(19481,plain,
% 26.40/17.70 (^[VarCurr: state_type] : refl((v159(VarCurr) | (~v201(VarCurr))) <=> (v159(VarCurr) | (~v201(VarCurr))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19482,plain,
% 26.40/17.70 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19481])).
% 26.40/17.70 tff(19483,plain,
% 26.40/17.70 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19484,plain,
% 26.40/17.70 (^[VarCurr: state_type] : rewrite(((~v201(VarCurr)) | v159(VarCurr)) <=> (v159(VarCurr) | (~v201(VarCurr))))),
% 26.40/17.70 inference(bind,[status(th)],[])).
% 26.40/17.70 tff(19485,plain,
% 26.40/17.70 (![VarCurr: state_type] : ((~v201(VarCurr)) | v159(VarCurr)) <=> ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(quant_intro,[status(thm)],[19484])).
% 26.40/17.70 tff(19486,axiom,(![VarCurr: state_type] : ((~v201(VarCurr)) | v159(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_2')).
% 26.40/17.70 tff(19487,plain,
% 26.40/17.70 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19486, 19485])).
% 26.40/17.70 tff(19488,plain,
% 26.40/17.70 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19487, 19483])).
% 26.40/17.70 tff(19489,plain,(
% 26.40/17.70 ![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(skolemize,[status(sab)],[19488])).
% 26.40/17.70 tff(19490,plain,
% 26.40/17.70 (![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19489, 19482])).
% 26.40/17.70 tff(19491,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB159) | (~v201(constB159)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB159) | (~v201(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19492,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB159) | (~v201(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19493,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB159) | (~v201(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19492, 19491])).
% 26.40/17.70 tff(19494,plain,
% 26.40/17.70 (~v201(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19493, 19490, 19480])).
% 26.40/17.70 tff(19495,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB159) | (~v200(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19496,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB159) | (~v200(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19497,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB159) | (~v200(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 26.40/17.70 tff(19498,plain,
% 26.40/17.70 (~v200(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19497, 8143, 19494])).
% 26.40/17.70 tff(19499,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB159) | (~v198(constB159)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB159) | (~v198(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19500,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB159) | (~v198(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19501,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB159) | (~v198(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19500, 19499])).
% 26.40/17.70 tff(19502,plain,
% 26.40/17.70 (~v198(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19501, 8157, 19498])).
% 26.40/17.70 tff(19503,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB159) | v198(constB159) | (~v191(constB159)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB159) | v198(constB159) | (~v191(constB159)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19504,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB159) | v198(constB159) | (~v191(constB159)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19505,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB159) | v198(constB159) | (~v191(constB159))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 26.40/17.70 tff(19506,plain,
% 26.40/17.70 (v194(constB159) | (~v191(constB159))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19505, 8171, 19502])).
% 26.40/17.70 tff(19507,plain,
% 26.40/17.70 (~v191(constB159)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19506, 19335])).
% 26.40/17.70 tff(19508,plain,
% 26.40/17.70 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19509,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 26.40/17.70 tff(19510,plain,
% 26.40/17.70 (nextState(constB159, constB160)),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 26.40/17.70 tff(19511,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19512,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19513,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB159, constB160)) | v191(constB159) | (~v193(constB160))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19512, 19511])).
% 26.40/17.70 tff(19514,plain,
% 26.40/17.70 (v191(constB159) | (~v193(constB160))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19513, 8186, 19510])).
% 26.40/17.70 tff(19515,plain,
% 26.40/17.70 (~v193(constB160)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19514, 19507])).
% 26.40/17.70 tff(19516,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB160) | (~v194(constB160)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB160) | (~v194(constB160)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19517,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB160) | (~v194(constB160)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19518,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB160) | (~v194(constB160))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 26.40/17.70 tff(19519,plain,
% 26.40/17.70 (~v194(constB160)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19518, 8201, 19515])).
% 26.40/17.70 tff(19520,plain,
% 26.40/17.70 (v1(constB160) <=> v1(constB160)),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19521,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 26.40/17.70 tff(19522,plain,
% 26.40/17.70 (v1(constB160)),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19521, 19520])).
% 26.40/17.70 tff(19523,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB160)) | (~v197(constB160)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB160)) | (~v197(constB160)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19524,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB160)) | (~v197(constB160)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19525,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB160)) | (~v197(constB160))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 26.40/17.70 tff(19526,plain,
% 26.40/17.70 (~v197(constB160)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19525, 8215, 19522])).
% 26.40/17.70 tff(19527,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB160) | (~v200(constB160)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB160) | (~v200(constB160)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19528,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB160) | (~v200(constB160)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19529,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB160) | (~v200(constB160))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 26.40/17.70 tff(19530,plain,
% 26.40/17.70 (~v200(constB160)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19529, 8229, 19526])).
% 26.40/17.70 tff(19531,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB160) | (~v198(constB160)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB160) | (~v198(constB160)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19532,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB160) | (~v198(constB160)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19533,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB160) | (~v198(constB160))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 26.40/17.70 tff(19534,plain,
% 26.40/17.70 (~v198(constB160)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19533, 8157, 19530])).
% 26.40/17.70 tff(19535,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB160) | v198(constB160) | (~v191(constB160)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB160) | v198(constB160) | (~v191(constB160)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19536,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB160) | v198(constB160) | (~v191(constB160)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19537,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB160) | v198(constB160) | (~v191(constB160))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19536, 19535])).
% 26.40/17.70 tff(19538,plain,
% 26.40/17.70 (v194(constB160) | (~v191(constB160))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19537, 8171, 19534])).
% 26.40/17.70 tff(19539,plain,
% 26.40/17.70 (~v191(constB160)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19538, 19519])).
% 26.40/17.70 tff(19540,plain,
% 26.40/17.70 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19541,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 26.40/17.70 tff(19542,plain,
% 26.40/17.70 (nextState(constB160, constB161)),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19541, 19540])).
% 26.40/17.70 tff(19543,plain,
% 26.40/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19544,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19545,plain,
% 26.40/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB160, constB161)) | v191(constB160) | (~v193(constB161))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 26.40/17.70 tff(19546,plain,
% 26.40/17.70 (v191(constB160) | (~v193(constB161))),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19545, 8186, 19542])).
% 26.40/17.70 tff(19547,plain,
% 26.40/17.70 (~v193(constB161)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19546, 19539])).
% 26.40/17.70 tff(19548,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.70 tff(19549,plain,
% 26.40/17.70 (v193(constB161) <=> v193(sK0_VarCurr)),
% 26.40/17.70 inference(monotonicity,[status(thm)],[19548])).
% 26.40/17.70 tff(19550,plain,
% 26.40/17.70 (v193(sK0_VarCurr) <=> v193(constB161)),
% 26.40/17.70 inference(symmetry,[status(thm)],[19549])).
% 26.40/17.70 tff(19551,plain,
% 26.40/17.70 (v193(constB161)),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[8270, 19550])).
% 26.40/17.70 tff(19552,assumption,(~v193(constB161)), introduced(assumption)).
% 26.40/17.70 tff(19553,plain,
% 26.40/17.70 ($false),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19552, 19551])).
% 26.40/17.70 tff(19554,plain,((~(constB161 = sK0_VarCurr)) | v193(constB161)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.70 tff(19555,plain,
% 26.40/17.70 (~(constB161 = sK0_VarCurr)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19554, 19547])).
% 26.40/17.70 tff(19556,assumption,(v18(constB38)), introduced(assumption)).
% 26.40/17.70 tff(19557,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB38))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19558,plain,
% 26.40/17.70 ($false),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19557, 8, 19556])).
% 26.40/17.70 tff(19559,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.70 tff(19560,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 26.40/17.70 inference(rewrite,[status(thm)],[])).
% 26.40/17.70 tff(19561,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 26.40/17.70 inference(quant_inst,[status(thm)],[])).
% 26.40/17.70 tff(19562,plain,
% 26.40/17.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 26.40/17.70 inference(modus_ponens,[status(thm)],[19561, 19560])).
% 26.40/17.70 tff(19563,plain,
% 26.40/17.70 (v22(constB38)),
% 26.40/17.70 inference(unit_resolution,[status(thm)],[19562, 24, 5321])).
% 26.40/17.70 tff(19564,plain,
% 26.40/17.70 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19565,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19566,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 26.40/17.71 tff(19567,plain,
% 26.40/17.71 (v18(constB38) | (~v19(constB38))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19566, 38, 19563])).
% 26.40/17.71 tff(19568,plain,
% 26.40/17.71 (~v19(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19567, 19559])).
% 26.40/17.71 tff(19569,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19570,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19571,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19570, 19569])).
% 26.40/17.71 tff(19572,plain,
% 26.40/17.71 (v13(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19571, 50, 19568])).
% 26.40/17.71 tff(19573,plain,
% 26.40/17.71 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19574,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19575,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 26.40/17.71 tff(19576,plain,
% 26.40/17.71 (v9(constB37) | (~v13(constB38))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19575, 67, 5298])).
% 26.40/17.71 tff(19577,plain,
% 26.40/17.71 (v9(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19576, 19572])).
% 26.40/17.71 tff(19578,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v197(constB37))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB37) | (~v9(constB37)) | v197(constB37))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19579,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v197(constB37))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19580,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB37) | (~v9(constB37)) | v197(constB37)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19579, 19578])).
% 26.40/17.71 tff(19581,plain,
% 26.40/17.71 ((~v9(constB37)) | v197(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19580, 85, 5176])).
% 26.40/17.71 tff(19582,plain,
% 26.40/17.71 (v197(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19581, 19577])).
% 26.40/17.71 tff(19583,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB37) | (~v197(constB37)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB37) | (~v197(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19584,plain,
% 26.40/17.71 (((~v197(constB37)) | v196(constB37)) <=> (v196(constB37) | (~v197(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19585,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB37)) | v196(constB37))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB37) | (~v197(constB37))))),
% 26.40/17.71 inference(monotonicity,[status(thm)],[19584])).
% 26.40/17.71 tff(19586,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB37)) | v196(constB37))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB37) | (~v197(constB37)))),
% 26.40/17.71 inference(transitivity,[status(thm)],[19585, 19583])).
% 26.40/17.71 tff(19587,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB37)) | v196(constB37))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19588,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB37) | (~v197(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19587, 19586])).
% 26.40/17.71 tff(19589,plain,
% 26.40/17.71 (v196(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19588, 97, 19582])).
% 26.40/17.71 tff(19590,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB37)) | (~v196(constB37)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB37)) | (~v196(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19591,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB37)) | (~v196(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19592,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB37)) | (~v196(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 26.40/17.71 tff(19593,plain,
% 26.40/17.71 (~v194(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19592, 108, 19589])).
% 26.40/17.71 tff(19594,plain,
% 26.40/17.71 (v114(constB35)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5081, 1986, 5076])).
% 26.40/17.71 tff(19595,plain,
% 26.40/17.71 (v113(constB35)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5088, 518, 19594])).
% 26.40/17.71 tff(19596,plain,
% 26.40/17.71 (v112(constB35)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5100, 19595])).
% 26.40/17.71 tff(19597,plain,
% 26.40/17.71 (v108(constB35)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5107, 544, 19596])).
% 26.40/17.71 tff(19598,plain,
% 26.40/17.71 (v110(constB36)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5118, 19597])).
% 26.40/17.71 tff(19599,plain,
% 26.40/17.71 (v100(constB36)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5150, 19598])).
% 26.40/17.71 tff(19600,plain,
% 26.40/17.71 (~v130(constB35, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5234, 2160, 5076])).
% 26.40/17.71 tff(19601,plain,
% 26.40/17.71 (~v127(constB35, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5242, 19600])).
% 26.40/17.71 tff(19602,plain,
% 26.40/17.71 (~v129(constB36, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5247, 19601])).
% 26.40/17.71 tff(19603,plain,
% 26.40/17.71 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5254, 1186, 19602])).
% 26.40/17.71 tff(19604,plain,
% 26.40/17.71 (~v90(constB36, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19603, 19599])).
% 26.40/17.71 tff(19605,plain,
% 26.40/17.71 (~v90(constB37, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5264, 19604])).
% 26.40/17.71 tff(19606,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB37, bitIndex0)) | v90(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB37, bitIndex0)) | v90(constB37, bitIndex0))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19607,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB37, bitIndex0)) | v90(constB37, bitIndex0))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19608,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB37, bitIndex0)) | v90(constB37, bitIndex0)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19607, 19606])).
% 26.40/17.71 tff(19609,plain,
% 26.40/17.71 (~v88(constB37, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19608, 7950, 19605])).
% 26.40/17.71 tff(19610,plain,
% 26.40/17.71 (v130(constB35, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5154, 2066, 5076])).
% 26.40/17.71 tff(19611,plain,
% 26.40/17.71 (v127(constB35, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5159, 19610])).
% 26.40/17.71 tff(19612,plain,
% 26.40/17.71 (v129(constB36, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5164, 19611])).
% 26.40/17.71 tff(19613,plain,
% 26.40/17.71 (v90(constB36, bitIndex2) | (~v100(constB36))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5171, 1590, 19612])).
% 26.40/17.71 tff(19614,plain,
% 26.40/17.71 (v90(constB36, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19613, 19599])).
% 26.40/17.71 tff(19615,plain,
% 26.40/17.71 (v90(constB37, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5199, 19614])).
% 26.40/17.71 tff(19616,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19617,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19618,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex2)) | v88(constB37, bitIndex2)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19617, 19616])).
% 26.40/17.71 tff(19619,plain,
% 26.40/17.71 (v88(constB37, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19618, 7992, 19615])).
% 26.40/17.71 tff(19620,plain,
% 26.40/17.71 (v130(constB35, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5203, 2122, 5076])).
% 26.40/17.71 tff(19621,plain,
% 26.40/17.71 (v127(constB35, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5208, 19620])).
% 26.40/17.71 tff(19622,plain,
% 26.40/17.71 (v129(constB36, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5213, 19621])).
% 26.40/17.71 tff(19623,plain,
% 26.40/17.71 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5220, 1105, 19622])).
% 26.40/17.71 tff(19624,plain,
% 26.40/17.71 (v90(constB36, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19623, 19599])).
% 26.40/17.71 tff(19625,plain,
% 26.40/17.71 (v90(constB37, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[5230, 19624])).
% 26.40/17.71 tff(19626,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19627,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19628,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB37, bitIndex1)) | v88(constB37, bitIndex1)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19627, 19626])).
% 26.40/17.71 tff(19629,plain,
% 26.40/17.71 (v88(constB37, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19628, 8034, 19625])).
% 26.40/17.71 tff(19630,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19631,plain,
% 26.40/17.71 (((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37)) <=> ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19632,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37)))),
% 26.40/17.71 inference(monotonicity,[status(thm)],[19631])).
% 26.40/17.71 tff(19633,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37))),
% 26.40/17.71 inference(transitivity,[status(thm)],[19632, 19630])).
% 26.40/17.71 tff(19634,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex1)) | v88(constB37, bitIndex0) | v144(constB37))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19635,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0) | v144(constB37)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19634, 19633])).
% 26.40/17.71 tff(19636,plain,
% 26.40/17.71 (v144(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19635, 8048, 19629, 19619, 19609])).
% 26.40/17.71 tff(19637,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB37)) | v142(constB37))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB37)) | v142(constB37))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19638,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB37)) | v142(constB37))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19639,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB37)) | v142(constB37)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 26.40/17.71 tff(19640,plain,
% 26.40/17.71 (v142(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19639, 8062, 19636])).
% 26.40/17.71 tff(19641,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB37)) | v167(constB37))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB37)) | v167(constB37))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19642,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB37)) | v167(constB37))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19643,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB37)) | v167(constB37)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19642, 19641])).
% 26.40/17.71 tff(19644,plain,
% 26.40/17.71 (v167(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19643, 8073, 19640])).
% 26.40/17.71 tff(19645,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB37)) | (~v170(constB37)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB37)) | (~v170(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19646,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB37)) | (~v170(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19647,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB37)) | (~v170(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19646, 19645])).
% 26.40/17.71 tff(19648,plain,
% 26.40/17.71 (~v170(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19647, 8084, 19644])).
% 26.40/17.71 tff(19649,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB37) | (~v167(constB37)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB37) | (~v167(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19650,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB37) | (~v167(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19651,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB37) | (~v167(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19650, 19649])).
% 26.40/17.71 tff(19652,plain,
% 26.40/17.71 (v166(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19651, 8098, 19644])).
% 26.40/17.71 tff(19653,plain,
% 26.40/17.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB37)) | v170(constB37) | (~v166(constB37)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB37)) | v170(constB37) | (~v166(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19654,plain,
% 26.40/17.71 (((~v166(constB37)) | v170(constB37) | (~v163(constB37))) <=> ((~v163(constB37)) | v170(constB37) | (~v166(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19655,plain,
% 26.40/17.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB37)) | v170(constB37) | (~v163(constB37)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB37)) | v170(constB37) | (~v166(constB37))))),
% 26.40/17.71 inference(monotonicity,[status(thm)],[19654])).
% 26.40/17.71 tff(19656,plain,
% 26.40/17.71 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB37)) | v170(constB37) | (~v163(constB37)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB37)) | v170(constB37) | (~v166(constB37)))),
% 26.40/17.71 inference(transitivity,[status(thm)],[19655, 19653])).
% 26.40/17.71 tff(19657,plain,
% 26.40/17.71 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB37)) | v170(constB37) | (~v163(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19658,plain,
% 26.40/17.71 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB37)) | v170(constB37) | (~v166(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 26.40/17.71 tff(19659,plain,
% 26.40/17.71 (~v163(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19658, 8112, 19652, 19648])).
% 26.40/17.71 tff(19660,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB37) | (~v201(constB37)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB37) | (~v201(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19661,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB37) | (~v201(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19662,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB37) | (~v201(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19661, 19660])).
% 26.40/17.71 tff(19663,plain,
% 26.40/17.71 (~v201(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19662, 8129, 19659])).
% 26.40/17.71 tff(19664,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB37) | (~v200(constB37)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB37) | (~v200(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19665,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB37) | (~v200(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19666,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB37) | (~v200(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 26.40/17.71 tff(19667,plain,
% 26.40/17.71 (~v200(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19666, 8143, 19663])).
% 26.40/17.71 tff(19668,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB37) | (~v198(constB37)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB37) | (~v198(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19669,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB37) | (~v198(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19670,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB37) | (~v198(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19669, 19668])).
% 26.40/17.71 tff(19671,plain,
% 26.40/17.71 (~v198(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19670, 8157, 19667])).
% 26.40/17.71 tff(19672,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB37) | v198(constB37) | (~v191(constB37)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB37) | v198(constB37) | (~v191(constB37)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19673,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB37) | v198(constB37) | (~v191(constB37)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19674,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB37) | v198(constB37) | (~v191(constB37))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19673, 19672])).
% 26.40/17.71 tff(19675,plain,
% 26.40/17.71 (v194(constB37) | (~v191(constB37))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19674, 8171, 19671])).
% 26.40/17.71 tff(19676,plain,
% 26.40/17.71 (~v191(constB37)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19675, 19593])).
% 26.40/17.71 tff(19677,plain,
% 26.40/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19678,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19679,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB37, constB38)) | v191(constB37) | (~v193(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19678, 19677])).
% 26.40/17.71 tff(19680,plain,
% 26.40/17.71 (v191(constB37) | (~v193(constB38))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19679, 8186, 5298])).
% 26.40/17.71 tff(19681,plain,
% 26.40/17.71 (~v193(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19680, 19676])).
% 26.40/17.71 tff(19682,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB38) | (~v194(constB38)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB38) | (~v194(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19683,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB38) | (~v194(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19684,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB38) | (~v194(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19683, 19682])).
% 26.40/17.71 tff(19685,plain,
% 26.40/17.71 (~v194(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19684, 8201, 19681])).
% 26.40/17.71 tff(19686,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB38)) | (~v197(constB38)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB38)) | (~v197(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19687,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB38)) | (~v197(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19688,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB38)) | (~v197(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19687, 19686])).
% 26.40/17.71 tff(19689,plain,
% 26.40/17.71 (~v197(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19688, 8215, 5321])).
% 26.40/17.71 tff(19690,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB38) | (~v200(constB38)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB38) | (~v200(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19691,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB38) | (~v200(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19692,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB38) | (~v200(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19691, 19690])).
% 26.40/17.71 tff(19693,plain,
% 26.40/17.71 (~v200(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19692, 8229, 19689])).
% 26.40/17.71 tff(19694,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB38) | (~v198(constB38)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB38) | (~v198(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19695,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB38) | (~v198(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19696,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB38) | (~v198(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19695, 19694])).
% 26.40/17.71 tff(19697,plain,
% 26.40/17.71 (~v198(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19696, 8157, 19693])).
% 26.40/17.71 tff(19698,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB38) | v198(constB38) | (~v191(constB38)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB38) | v198(constB38) | (~v191(constB38)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19699,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB38) | v198(constB38) | (~v191(constB38)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19700,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB38) | v198(constB38) | (~v191(constB38))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19699, 19698])).
% 26.40/17.71 tff(19701,plain,
% 26.40/17.71 (v194(constB38) | (~v191(constB38))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19700, 8171, 19697])).
% 26.40/17.71 tff(19702,plain,
% 26.40/17.71 (~v191(constB38)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19701, 19685])).
% 26.40/17.71 tff(19703,plain,
% 26.40/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19704,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19705,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB38, constB39)) | v191(constB38) | (~v193(constB39))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 26.40/17.71 tff(19706,plain,
% 26.40/17.71 (v191(constB38) | (~v193(constB39))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19705, 8186, 5390])).
% 26.40/17.71 tff(19707,plain,
% 26.40/17.71 (~v193(constB39)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19706, 19702])).
% 26.40/17.71 tff(19708,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.71 tff(19709,plain,
% 26.40/17.71 (v193(constB39) <=> v193(sK0_VarCurr)),
% 26.40/17.71 inference(monotonicity,[status(thm)],[19708])).
% 26.40/17.71 tff(19710,plain,
% 26.40/17.71 (v193(sK0_VarCurr) <=> v193(constB39)),
% 26.40/17.71 inference(symmetry,[status(thm)],[19709])).
% 26.40/17.71 tff(19711,plain,
% 26.40/17.71 (v193(constB39)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[8270, 19710])).
% 26.40/17.71 tff(19712,assumption,(~v193(constB39)), introduced(assumption)).
% 26.40/17.71 tff(19713,plain,
% 26.40/17.71 ($false),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19712, 19711])).
% 26.40/17.71 tff(19714,plain,((~(constB39 = sK0_VarCurr)) | v193(constB39)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.71 tff(19715,plain,
% 26.40/17.71 (~(constB39 = sK0_VarCurr)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19714, 19707])).
% 26.40/17.71 tff(19716,assumption,(v18(constB122)), introduced(assumption)).
% 26.40/17.71 tff(19717,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB122))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19718,plain,
% 26.40/17.71 ($false),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19717, 8, 19716])).
% 26.40/17.71 tff(19719,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.71 tff(19720,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19721,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19722,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19721, 19720])).
% 26.40/17.71 tff(19723,plain,
% 26.40/17.71 (v22(constB122)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19722, 24, 15571])).
% 26.40/17.71 tff(19724,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19725,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19726,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 26.40/17.71 tff(19727,plain,
% 26.40/17.71 (v18(constB122) | (~v19(constB122))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19726, 38, 19723])).
% 26.40/17.71 tff(19728,plain,
% 26.40/17.71 (~v19(constB122)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19727, 19719])).
% 26.40/17.71 tff(19729,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19730,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19731,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19730, 19729])).
% 26.40/17.71 tff(19732,plain,
% 26.40/17.71 (v13(constB122)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19731, 50, 19728])).
% 26.40/17.71 tff(19733,plain,
% 26.40/17.71 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19734,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19735,plain,
% 26.40/17.71 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 26.40/17.71 tff(19736,plain,
% 26.40/17.71 (v9(constB121) | (~v13(constB122))),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19735, 67, 15548])).
% 26.40/17.71 tff(19737,plain,
% 26.40/17.71 (v9(constB121)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19736, 19732])).
% 26.40/17.71 tff(19738,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v197(constB121))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB121) | (~v9(constB121)) | v197(constB121))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19739,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v197(constB121))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19740,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB121) | (~v9(constB121)) | v197(constB121)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19739, 19738])).
% 26.40/17.71 tff(19741,plain,
% 26.40/17.71 ((~v9(constB121)) | v197(constB121)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19740, 85, 15388])).
% 26.40/17.71 tff(19742,plain,
% 26.40/17.71 (v197(constB121)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19741, 19737])).
% 26.40/17.71 tff(19743,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB121) | (~v197(constB121)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB121) | (~v197(constB121)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19744,plain,
% 26.40/17.71 (((~v197(constB121)) | v196(constB121)) <=> (v196(constB121) | (~v197(constB121)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19745,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB121)) | v196(constB121))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB121) | (~v197(constB121))))),
% 26.40/17.71 inference(monotonicity,[status(thm)],[19744])).
% 26.40/17.71 tff(19746,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB121)) | v196(constB121))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB121) | (~v197(constB121)))),
% 26.40/17.71 inference(transitivity,[status(thm)],[19745, 19743])).
% 26.40/17.71 tff(19747,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB121)) | v196(constB121))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19748,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB121) | (~v197(constB121))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19747, 19746])).
% 26.40/17.71 tff(19749,plain,
% 26.40/17.71 (v196(constB121)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19748, 97, 19742])).
% 26.40/17.71 tff(19750,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB121)) | (~v196(constB121)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB121)) | (~v196(constB121)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19751,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB121)) | (~v196(constB121)))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19752,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB121)) | (~v196(constB121))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19751, 19750])).
% 26.40/17.71 tff(19753,plain,
% 26.40/17.71 (~v194(constB121)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19752, 108, 19749])).
% 26.40/17.71 tff(19754,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19755,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19756,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19755, 19754])).
% 26.40/17.71 tff(19757,plain,
% 26.40/17.71 (~v88(constB121, bitIndex0)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19756, 7950, 15513])).
% 26.40/17.71 tff(19758,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19759,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19760,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex2)) | v88(constB121, bitIndex2)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19759, 19758])).
% 26.40/17.71 tff(19761,plain,
% 26.40/17.71 (v88(constB121, bitIndex2)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19760, 7992, 15412])).
% 26.40/17.71 tff(19762,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19763,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19764,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB121, bitIndex1)) | v88(constB121, bitIndex1)),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19763, 19762])).
% 26.40/17.71 tff(19765,plain,
% 26.40/17.71 (v88(constB121, bitIndex1)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19764, 8034, 15451])).
% 26.40/17.71 tff(19766,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19767,plain,
% 26.40/17.71 (((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121)) <=> (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))),
% 26.40/17.71 inference(rewrite,[status(thm)],[])).
% 26.40/17.71 tff(19768,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1))))),
% 26.40/17.71 inference(monotonicity,[status(thm)],[19767])).
% 26.40/17.71 tff(19769,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1)))),
% 26.40/17.71 inference(transitivity,[status(thm)],[19768, 19766])).
% 26.40/17.71 tff(19770,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex0) | v144(constB121))),
% 26.40/17.71 inference(quant_inst,[status(thm)],[])).
% 26.40/17.71 tff(19771,plain,
% 26.40/17.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB121, bitIndex0) | (~v88(constB121, bitIndex2)) | v144(constB121) | (~v88(constB121, bitIndex1))),
% 26.40/17.71 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 26.40/17.71 tff(19772,plain,
% 26.40/17.71 (v144(constB121)),
% 26.40/17.71 inference(unit_resolution,[status(thm)],[19771, 8048, 19765, 19761, 19757])).
% 26.40/17.71 tff(19773,plain,
% 26.40/17.71 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB121)) | v142(constB121))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19774,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19775,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB121)) | v142(constB121)),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 26.40/17.72 tff(19776,plain,
% 26.40/17.72 (v142(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19775, 8062, 19772])).
% 26.40/17.72 tff(19777,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB121) | (~v142(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19778,plain,
% 26.40/17.72 (((~v142(constB121)) | v167(constB121)) <=> (v167(constB121) | (~v142(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19779,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB121)) | v167(constB121))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB121) | (~v142(constB121))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19778])).
% 26.40/17.72 tff(19780,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB121)) | v167(constB121))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB121) | (~v142(constB121)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19779, 19777])).
% 26.40/17.72 tff(19781,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB121)) | v167(constB121))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19782,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB121) | (~v142(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19781, 19780])).
% 26.40/17.72 tff(19783,plain,
% 26.40/17.72 (v167(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19782, 8073, 19776])).
% 26.40/17.72 tff(19784,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB121)) | (~v170(constB121)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB121)) | (~v170(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19785,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB121)) | (~v170(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19786,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB121)) | (~v170(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19785, 19784])).
% 26.40/17.72 tff(19787,plain,
% 26.40/17.72 (~v170(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19786, 8084, 19783])).
% 26.40/17.72 tff(19788,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB121) | (~v167(constB121)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB121) | (~v167(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19789,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB121) | (~v167(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19790,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB121) | (~v167(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 26.40/17.72 tff(19791,plain,
% 26.40/17.72 (v166(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19790, 8098, 19783])).
% 26.40/17.72 tff(19792,plain,
% 26.40/17.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB121)) | v170(constB121) | (~v166(constB121)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | v170(constB121) | (~v166(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19793,plain,
% 26.40/17.72 (((~v166(constB121)) | v170(constB121) | (~v163(constB121))) <=> ((~v163(constB121)) | v170(constB121) | (~v166(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19794,plain,
% 26.40/17.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB121)) | v170(constB121) | (~v166(constB121))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19793])).
% 26.40/17.72 tff(19795,plain,
% 26.40/17.72 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | v170(constB121) | (~v166(constB121)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19794, 19792])).
% 26.40/17.72 tff(19796,plain,
% 26.40/17.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB121)) | v170(constB121) | (~v163(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19797,plain,
% 26.40/17.72 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB121)) | v170(constB121) | (~v166(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19796, 19795])).
% 26.40/17.72 tff(19798,plain,
% 26.40/17.72 (~v163(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19797, 8112, 19791, 19787])).
% 26.40/17.72 tff(19799,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB121) | (~v201(constB121)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB121) | (~v201(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19800,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB121) | (~v201(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19801,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB121) | (~v201(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19800, 19799])).
% 26.40/17.72 tff(19802,plain,
% 26.40/17.72 (~v201(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19801, 8129, 19798])).
% 26.40/17.72 tff(19803,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB121) | (~v200(constB121)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB121) | (~v200(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19804,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB121) | (~v200(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19805,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB121) | (~v200(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 26.40/17.72 tff(19806,plain,
% 26.40/17.72 (~v200(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19805, 8143, 19802])).
% 26.40/17.72 tff(19807,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB121) | (~v198(constB121)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB121) | (~v198(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19808,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB121) | (~v198(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19809,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB121) | (~v198(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19808, 19807])).
% 26.40/17.72 tff(19810,plain,
% 26.40/17.72 (~v198(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19809, 8157, 19806])).
% 26.40/17.72 tff(19811,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB121) | v198(constB121) | (~v191(constB121)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB121) | v198(constB121) | (~v191(constB121)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19812,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB121) | v198(constB121) | (~v191(constB121)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19813,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB121) | v198(constB121) | (~v191(constB121))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 26.40/17.72 tff(19814,plain,
% 26.40/17.72 (v194(constB121) | (~v191(constB121))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19813, 8171, 19810])).
% 26.40/17.72 tff(19815,plain,
% 26.40/17.72 (~v191(constB121)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19814, 19753])).
% 26.40/17.72 tff(19816,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19817,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19818,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB121, constB122)) | v191(constB121) | (~v193(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19817, 19816])).
% 26.40/17.72 tff(19819,plain,
% 26.40/17.72 (v191(constB121) | (~v193(constB122))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19818, 8186, 15548])).
% 26.40/17.72 tff(19820,plain,
% 26.40/17.72 (~v193(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19819, 19815])).
% 26.40/17.72 tff(19821,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB122) | (~v194(constB122)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB122) | (~v194(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19822,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB122) | (~v194(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19823,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB122) | (~v194(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19822, 19821])).
% 26.40/17.72 tff(19824,plain,
% 26.40/17.72 (~v194(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19823, 8201, 19820])).
% 26.40/17.72 tff(19825,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB122)) | (~v197(constB122)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB122)) | (~v197(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19826,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB122)) | (~v197(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19827,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB122)) | (~v197(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 26.40/17.72 tff(19828,plain,
% 26.40/17.72 (~v197(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19827, 8215, 15571])).
% 26.40/17.72 tff(19829,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB122) | (~v200(constB122)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB122) | (~v200(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19830,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB122) | (~v200(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19831,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB122) | (~v200(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19830, 19829])).
% 26.40/17.72 tff(19832,plain,
% 26.40/17.72 (~v200(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19831, 8229, 19828])).
% 26.40/17.72 tff(19833,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB122) | (~v198(constB122)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB122) | (~v198(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19834,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB122) | (~v198(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19835,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB122) | (~v198(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 26.40/17.72 tff(19836,plain,
% 26.40/17.72 (~v198(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19835, 8157, 19832])).
% 26.40/17.72 tff(19837,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB122) | v198(constB122) | (~v191(constB122)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB122) | v198(constB122) | (~v191(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19838,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB122) | v198(constB122) | (~v191(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19839,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB122) | v198(constB122) | (~v191(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19838, 19837])).
% 26.40/17.72 tff(19840,plain,
% 26.40/17.72 (v194(constB122) | (~v191(constB122))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19839, 8171, 19836])).
% 26.40/17.72 tff(19841,plain,
% 26.40/17.72 (~v191(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19840, 19824])).
% 26.40/17.72 tff(19842,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19843,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19844,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB122, constB123)) | v191(constB122) | (~v193(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19843, 19842])).
% 26.40/17.72 tff(19845,plain,
% 26.40/17.72 (v191(constB122) | (~v193(constB123))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19844, 8186, 15613])).
% 26.40/17.72 tff(19846,plain,
% 26.40/17.72 (~v193(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19845, 19841])).
% 26.40/17.72 tff(19847,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB123) | (~v194(constB123)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB123) | (~v194(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19848,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB123) | (~v194(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19849,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB123) | (~v194(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19848, 19847])).
% 26.40/17.72 tff(19850,plain,
% 26.40/17.72 (~v194(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19849, 8201, 19846])).
% 26.40/17.72 tff(19851,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19852,plain,
% 26.40/17.72 (((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122))) <=> (v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19853,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19852])).
% 26.40/17.72 tff(19854,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19853, 19851])).
% 26.40/17.72 tff(19855,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB121, constB122)) | v163(constB121) | (~v186(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19856,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB121) | (~nextState(constB121, constB122)) | (~v186(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 26.40/17.72 tff(19857,plain,
% 26.40/17.72 (v163(constB121) | (~v186(constB122))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19856, 19345, 15548])).
% 26.40/17.72 tff(19858,plain,
% 26.40/17.72 (~v186(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19857, 19798])).
% 26.40/17.72 tff(19859,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19860,plain,
% 26.40/17.72 (((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122)) <=> ((~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19861,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v181(constB122) | v104(constB122)))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19860])).
% 26.40/17.72 tff(19862,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB121, constB122)) | v181(constB122) | v104(constB122))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19861, 19859])).
% 26.40/17.72 tff(19863,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | v181(constB122))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19864,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB121, constB122)) | v181(constB122) | v104(constB122)),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 26.40/17.72 tff(19865,plain,
% 26.40/17.72 (v181(constB122) | v104(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19864, 19367, 15548])).
% 26.40/17.72 tff(19866,plain,
% 26.40/17.72 (v181(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19865, 15560])).
% 26.40/17.72 tff(19867,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19868,plain,
% 26.40/17.72 (((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122))) <=> ((~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19869,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19868])).
% 26.40/17.72 tff(19870,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19869, 19867])).
% 26.40/17.72 tff(19871,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB121, constB122)) | (~v1(constB122)) | v180(constB122) | (~v181(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19872,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB121, constB122)) | v180(constB122) | (~v1(constB122)) | (~v181(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19871, 19870])).
% 26.40/17.72 tff(19873,plain,
% 26.40/17.72 (v180(constB122) | (~v181(constB122))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19872, 19385, 15548, 15571])).
% 26.40/17.72 tff(19874,plain,
% 26.40/17.72 (v180(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19873, 19866])).
% 26.40/17.72 tff(19875,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19876,plain,
% 26.40/17.72 (((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122)) <=> ((~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19877,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19876])).
% 26.40/17.72 tff(19878,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19877, 19875])).
% 26.40/17.72 tff(19879,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB121, constB122)) | (~v180(constB122)) | v179(constB122))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19880,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB121, constB122)) | v179(constB122) | (~v180(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 26.40/17.72 tff(19881,plain,
% 26.40/17.72 (v179(constB122) | (~v180(constB122))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19880, 19403, 15548])).
% 26.40/17.72 tff(19882,plain,
% 26.40/17.72 (v179(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19881, 19874])).
% 26.40/17.72 tff(19883,plain,
% 26.40/17.72 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB122) | (~v159(constB122)) | (~v179(constB122)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB122) | (~v159(constB122)) | (~v179(constB122)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19884,plain,
% 26.40/17.72 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB122) | (~v159(constB122)) | (~v179(constB122)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19885,plain,
% 26.40/17.72 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB122) | (~v159(constB122)) | (~v179(constB122))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 26.40/17.72 tff(19886,plain,
% 26.40/17.72 (v186(constB122) | (~v159(constB122))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19885, 19421, 19882])).
% 26.40/17.72 tff(19887,plain,
% 26.40/17.72 (~v159(constB122)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19886, 19858])).
% 26.40/17.72 tff(19888,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19889,plain,
% 26.40/17.72 (((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123))) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19890,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19889])).
% 26.40/17.72 tff(19891,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19890, 19888])).
% 26.40/17.72 tff(19892,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v1(constB123) | (~v180(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19893,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v180(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 26.40/17.72 tff(19894,plain,
% 26.40/17.72 (~v180(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19893, 19439, 15613, 15610])).
% 26.40/17.72 tff(19895,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19896,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19897,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB122, constB123)) | v180(constB123) | (~v179(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 26.40/17.72 tff(19898,plain,
% 26.40/17.72 (v180(constB123) | (~v179(constB123))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19897, 19456, 15613])).
% 26.40/17.72 tff(19899,plain,
% 26.40/17.72 (~v179(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19898, 19894])).
% 26.40/17.72 tff(19900,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19901,plain,
% 26.40/17.72 (((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123))) <=> (v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19902,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123))))),
% 26.40/17.72 inference(monotonicity,[status(thm)],[19901])).
% 26.40/17.72 tff(19903,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123)))),
% 26.40/17.72 inference(transitivity,[status(thm)],[19902, 19900])).
% 26.40/17.72 tff(19904,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB122, constB123)) | v179(constB123) | v159(constB122) | (~v159(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19905,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB122) | (~nextState(constB122, constB123)) | v179(constB123) | (~v159(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19904, 19903])).
% 26.40/17.72 tff(19906,plain,
% 26.40/17.72 (v159(constB122) | v179(constB123) | (~v159(constB123))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19905, 19471, 15613])).
% 26.40/17.72 tff(19907,plain,
% 26.40/17.72 (v159(constB122) | (~v159(constB123))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19906, 19899])).
% 26.40/17.72 tff(19908,plain,
% 26.40/17.72 (~v159(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19907, 19887])).
% 26.40/17.72 tff(19909,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB123) | (~v201(constB123)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB123) | (~v201(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19910,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB123) | (~v201(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19911,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB123) | (~v201(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 26.40/17.72 tff(19912,plain,
% 26.40/17.72 (~v201(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19911, 19490, 19908])).
% 26.40/17.72 tff(19913,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB123) | (~v200(constB123)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB123) | (~v200(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19914,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB123) | (~v200(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19915,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB123) | (~v200(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 26.40/17.72 tff(19916,plain,
% 26.40/17.72 (~v200(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19915, 8143, 19912])).
% 26.40/17.72 tff(19917,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB123) | (~v198(constB123)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB123) | (~v198(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19918,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB123) | (~v198(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19919,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB123) | (~v198(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19918, 19917])).
% 26.40/17.72 tff(19920,plain,
% 26.40/17.72 (~v198(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19919, 8157, 19916])).
% 26.40/17.72 tff(19921,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB123) | v198(constB123) | (~v191(constB123)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB123) | v198(constB123) | (~v191(constB123)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19922,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB123) | v198(constB123) | (~v191(constB123)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19923,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB123) | v198(constB123) | (~v191(constB123))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 26.40/17.72 tff(19924,plain,
% 26.40/17.72 (v194(constB123) | (~v191(constB123))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19923, 8171, 19920])).
% 26.40/17.72 tff(19925,plain,
% 26.40/17.72 (~v191(constB123)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19924, 19850])).
% 26.40/17.72 tff(19926,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19927,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19928,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB123, constB124)) | v191(constB123) | (~v193(constB124))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 26.40/17.72 tff(19929,plain,
% 26.40/17.72 (v191(constB123) | (~v193(constB124))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19928, 8186, 15760])).
% 26.40/17.72 tff(19930,plain,
% 26.40/17.72 (~v193(constB124)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19929, 19925])).
% 26.40/17.72 tff(19931,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB124) | (~v194(constB124)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB124) | (~v194(constB124)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19932,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB124) | (~v194(constB124)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19933,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB124) | (~v194(constB124))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19932, 19931])).
% 26.40/17.72 tff(19934,plain,
% 26.40/17.72 (~v194(constB124)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19933, 8201, 19930])).
% 26.40/17.72 tff(19935,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB124)) | (~v197(constB124)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB124)) | (~v197(constB124)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19936,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB124)) | (~v197(constB124)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19937,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB124)) | (~v197(constB124))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19936, 19935])).
% 26.40/17.72 tff(19938,plain,
% 26.40/17.72 (~v197(constB124)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19937, 8215, 15783])).
% 26.40/17.72 tff(19939,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB124) | (~v200(constB124)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB124) | (~v200(constB124)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19940,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB124) | (~v200(constB124)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19941,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB124) | (~v200(constB124))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19940, 19939])).
% 26.40/17.72 tff(19942,plain,
% 26.40/17.72 (~v200(constB124)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19941, 8229, 19938])).
% 26.40/17.72 tff(19943,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB124) | (~v198(constB124)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB124) | (~v198(constB124)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19944,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB124) | (~v198(constB124)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19945,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB124) | (~v198(constB124))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19944, 19943])).
% 26.40/17.72 tff(19946,plain,
% 26.40/17.72 (~v198(constB124)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19945, 8157, 19942])).
% 26.40/17.72 tff(19947,plain,
% 26.40/17.72 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB124) | v198(constB124) | (~v191(constB124)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB124) | v198(constB124) | (~v191(constB124)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19948,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB124) | v198(constB124) | (~v191(constB124)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19949,plain,
% 26.40/17.72 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB124) | v198(constB124) | (~v191(constB124))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 26.40/17.72 tff(19950,plain,
% 26.40/17.72 (v194(constB124) | (~v191(constB124))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19949, 8171, 19946])).
% 26.40/17.72 tff(19951,plain,
% 26.40/17.72 (~v191(constB124)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19950, 19934])).
% 26.40/17.72 tff(19952,plain,
% 26.40/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125)))),
% 26.40/17.72 inference(rewrite,[status(thm)],[])).
% 26.40/17.72 tff(19953,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125)))),
% 26.40/17.72 inference(quant_inst,[status(thm)],[])).
% 26.40/17.72 tff(19954,plain,
% 26.40/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB124, constB125)) | v191(constB124) | (~v193(constB125))),
% 26.40/17.72 inference(modus_ponens,[status(thm)],[19953, 19952])).
% 26.40/17.72 tff(19955,plain,
% 26.40/17.72 (v191(constB124) | (~v193(constB125))),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19954, 8186, 15828])).
% 26.40/17.72 tff(19956,plain,
% 26.40/17.72 (~v193(constB125)),
% 26.40/17.72 inference(unit_resolution,[status(thm)],[19955, 19951])).
% 26.40/17.72 tff(19957,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.72 tff(19958,plain,
% 26.40/17.72 (v193(constB125) <=> v193(sK0_VarCurr)),
% 26.40/17.73 inference(monotonicity,[status(thm)],[19957])).
% 26.40/17.73 tff(19959,plain,
% 26.40/17.73 (v193(sK0_VarCurr) <=> v193(constB125)),
% 26.40/17.73 inference(symmetry,[status(thm)],[19958])).
% 26.40/17.73 tff(19960,plain,
% 26.40/17.73 (v193(constB125)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[8270, 19959])).
% 26.40/17.73 tff(19961,assumption,(~v193(constB125)), introduced(assumption)).
% 26.40/17.73 tff(19962,plain,
% 26.40/17.73 ($false),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[19961, 19960])).
% 26.40/17.73 tff(19963,plain,((~(constB125 = sK0_VarCurr)) | v193(constB125)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.73 tff(19964,plain,
% 26.40/17.73 (~(constB125 = sK0_VarCurr)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[19963, 19956])).
% 26.40/17.73 tff(19965,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.73 tff(19966,plain,
% 26.40/17.73 (v193(constB123) <=> v193(sK0_VarCurr)),
% 26.40/17.73 inference(monotonicity,[status(thm)],[19965])).
% 26.40/17.73 tff(19967,plain,
% 26.40/17.73 (v193(sK0_VarCurr) <=> v193(constB123)),
% 26.40/17.73 inference(symmetry,[status(thm)],[19966])).
% 26.40/17.73 tff(19968,plain,
% 26.40/17.73 (v193(constB123)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[8270, 19967])).
% 26.40/17.73 tff(19969,assumption,(~v193(constB123)), introduced(assumption)).
% 26.40/17.73 tff(19970,plain,
% 26.40/17.73 ($false),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[19969, 19968])).
% 26.40/17.73 tff(19971,plain,((~(constB123 = sK0_VarCurr)) | v193(constB123)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.73 tff(19972,plain,
% 26.40/17.73 (~(constB123 = sK0_VarCurr)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[19971, 19846])).
% 26.40/17.73 tff(19973,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.73 tff(19974,plain,
% 26.40/17.73 (v86(constB61) <=> v86(sK0_VarCurr)),
% 26.40/17.73 inference(monotonicity,[status(thm)],[19973])).
% 26.40/17.73 tff(19975,plain,
% 26.40/17.73 (v86(sK0_VarCurr) <=> v86(constB61)),
% 26.40/17.73 inference(symmetry,[status(thm)],[19974])).
% 26.40/17.73 tff(19976,plain,
% 26.40/17.73 ((~v86(sK0_VarCurr)) <=> (~v86(constB61))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[19975])).
% 26.40/17.73 tff(19977,plain,
% 26.40/17.73 (^[VarCurr: state_type] : refl((v206(VarCurr) | (~v205(VarCurr))) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(19978,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[19977])).
% 26.40/17.73 tff(19979,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(19980,plain,
% 26.40/17.73 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v206(VarCurr)) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(19981,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v205(VarCurr)) | v206(VarCurr)) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[19980])).
% 26.40/17.73 tff(19982,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v206(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53_1_1_1_1')).
% 26.40/17.73 tff(19983,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19982, 19981])).
% 26.40/17.73 tff(19984,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19983, 19979])).
% 26.40/17.73 tff(19985,plain,(
% 26.40/17.73 ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(skolemize,[status(sab)],[19984])).
% 26.40/17.73 tff(19986,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19985, 19978])).
% 26.40/17.73 tff(19987,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(19988,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK0_VarCurr) | (~v205(sK0_VarCurr)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(19989,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK0_VarCurr) | (~v205(sK0_VarCurr))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 26.40/17.73 tff(19990,plain,
% 26.40/17.73 (v206(sK0_VarCurr)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[19989, 19986, 8256])).
% 26.40/17.73 tff(19991,plain,
% 26.40/17.73 (^[VarCurr: state_type] : refl((v207(VarCurr) | (~v206(VarCurr))) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(19992,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[19991])).
% 26.40/17.73 tff(19993,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(19994,plain,
% 26.40/17.73 (^[VarCurr: state_type] : rewrite(((~v206(VarCurr)) | v207(VarCurr)) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(19995,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v206(VarCurr)) | v207(VarCurr)) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[19994])).
% 26.40/17.73 tff(19996,axiom,(![VarCurr: state_type] : ((~v206(VarCurr)) | v207(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52_1_1_1_1')).
% 26.40/17.73 tff(19997,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 26.40/17.73 tff(19998,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19997, 19993])).
% 26.40/17.73 tff(19999,plain,(
% 26.40/17.73 ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(skolemize,[status(sab)],[19998])).
% 26.40/17.73 tff(20000,plain,
% 26.40/17.73 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[19999, 19992])).
% 26.40/17.73 tff(20001,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20002,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK0_VarCurr) | (~v206(sK0_VarCurr)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20003,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK0_VarCurr) | (~v206(sK0_VarCurr))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 26.40/17.73 tff(20004,plain,
% 26.40/17.73 (v207(sK0_VarCurr)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20003, 20000, 19990])).
% 26.40/17.73 tff(20005,plain,
% 26.40/17.73 (^[VarCurr: state_type] : refl(((~v207(VarCurr)) | (~v86(VarCurr))) <=> ((~v207(VarCurr)) | (~v86(VarCurr))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(20006,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[20005])).
% 26.40/17.73 tff(20007,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20008,axiom,(![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_2')).
% 26.40/17.73 tff(20009,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 26.40/17.73 tff(20010,plain,(
% 26.40/17.73 ![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 26.40/17.73 inference(skolemize,[status(sab)],[20009])).
% 26.40/17.73 tff(20011,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20010, 20006])).
% 26.40/17.73 tff(20012,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | ((~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | (~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20013,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | ((~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20014,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | (~v207(sK0_VarCurr)) | (~v86(sK0_VarCurr))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20013, 20012])).
% 26.40/17.73 tff(20015,plain,
% 26.40/17.73 (~v86(sK0_VarCurr)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20014, 20011, 20004])).
% 26.40/17.73 tff(20016,plain,
% 26.40/17.73 (~v86(constB61)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20015, 19976])).
% 26.40/17.73 tff(20017,plain,
% 26.40/17.73 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v148(VarCurr)) <=> ((~v142(VarCurr)) | v148(VarCurr)))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(20018,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[20017])).
% 26.40/17.73 tff(20019,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20020,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 26.40/17.73 tff(20021,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 26.40/17.73 tff(20022,plain,(
% 26.40/17.73 ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 26.40/17.73 inference(skolemize,[status(sab)],[20021])).
% 26.40/17.73 tff(20023,plain,
% 26.40/17.73 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20022, 20018])).
% 26.40/17.73 tff(20024,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB61) | (~v142(constB61)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20025,plain,
% 26.40/17.73 (((~v142(constB61)) | v148(constB61)) <=> (v148(constB61) | (~v142(constB61)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20026,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB61)) | v148(constB61))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB61) | (~v142(constB61))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20025])).
% 26.40/17.73 tff(20027,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB61)) | v148(constB61))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB61) | (~v142(constB61)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20026, 20024])).
% 26.40/17.73 tff(20028,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB61)) | v148(constB61))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20029,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB61) | (~v142(constB61))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20028, 20027])).
% 26.40/17.73 tff(20030,plain,
% 26.40/17.73 (v148(constB61)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20029, 20023, 8066])).
% 26.40/17.73 tff(20031,plain,
% 26.40/17.73 (^[VarNext: state_type] : refl(((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))) <=> ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(20032,plain,
% 26.40/17.73 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[20031])).
% 26.40/17.73 tff(20033,plain,
% 26.40/17.73 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20034,plain,
% 26.40/17.73 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v166(VarNext)) | (~v148(VarNext))) <=> ((~v148(VarNext)) | (~v166(VarNext)))), ((((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> (((~v148(VarNext)) | (~v166(VarNext))) | v86(VarNext)))), rewrite((((~v148(VarNext)) | (~v166(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))), ((((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))))),
% 26.40/17.73 inference(bind,[status(th)],[])).
% 26.40/17.73 tff(20035,plain,
% 26.40/17.73 (![VarNext: state_type] : (((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(quant_intro,[status(thm)],[20034])).
% 26.40/17.73 tff(20036,axiom,(![VarNext: state_type] : (((~v166(VarNext)) | (~v148(VarNext))) | v86(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 26.40/17.73 tff(20037,plain,
% 26.40/17.73 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20036, 20035])).
% 26.40/17.73 tff(20038,plain,
% 26.40/17.73 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20037, 20033])).
% 26.40/17.73 tff(20039,plain,(
% 26.40/17.73 ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(skolemize,[status(sab)],[20038])).
% 26.40/17.73 tff(20040,plain,
% 26.40/17.73 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20039, 20032])).
% 26.40/17.73 tff(20041,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB61) | (~v148(constB61)) | (~v166(constB61)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB61) | (~v148(constB61)) | (~v166(constB61)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20042,plain,
% 26.40/17.73 (((~v148(constB61)) | v86(constB61) | (~v166(constB61))) <=> (v86(constB61) | (~v148(constB61)) | (~v166(constB61)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20043,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB61)) | v86(constB61) | (~v166(constB61)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB61) | (~v148(constB61)) | (~v166(constB61))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20042])).
% 26.40/17.73 tff(20044,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB61)) | v86(constB61) | (~v166(constB61)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB61) | (~v148(constB61)) | (~v166(constB61)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20043, 20041])).
% 26.40/17.73 tff(20045,plain,
% 26.40/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB61)) | v86(constB61) | (~v166(constB61)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20046,plain,
% 26.40/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB61) | (~v148(constB61)) | (~v166(constB61))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 26.40/17.73 tff(20047,plain,
% 26.40/17.73 (v86(constB61)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20046, 20040, 8102, 20030])).
% 26.40/17.73 tff(20048,plain,
% 26.40/17.73 ($false),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20047, 20016])).
% 26.40/17.73 tff(20049,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.73 tff(20050,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.73 tff(20051,plain,
% 26.40/17.73 (v86(constB157) <=> v86(sK0_VarCurr)),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20050])).
% 26.40/17.73 tff(20052,plain,
% 26.40/17.73 (v86(sK0_VarCurr) <=> v86(constB157)),
% 26.40/17.73 inference(symmetry,[status(thm)],[20051])).
% 26.40/17.73 tff(20053,plain,
% 26.40/17.73 ((~v86(sK0_VarCurr)) <=> (~v86(constB157))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20052])).
% 26.40/17.73 tff(20054,plain,
% 26.40/17.73 (~v86(constB157)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20015, 20053])).
% 26.40/17.73 tff(20055,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB157)) | v148(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB157)) | v148(constB157))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20056,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB157)) | v148(constB157))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20057,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB157)) | v148(constB157)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 26.40/17.73 tff(20058,plain,
% 26.40/17.73 (v148(constB157)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20057, 20023, 19259])).
% 26.40/17.73 tff(20059,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB157) | (~v166(constB157)) | (~v148(constB157)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB157) | (~v166(constB157)) | (~v148(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20060,plain,
% 26.40/17.73 (((~v148(constB157)) | v86(constB157) | (~v166(constB157))) <=> (v86(constB157) | (~v166(constB157)) | (~v148(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20061,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB157)) | v86(constB157) | (~v166(constB157)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB157) | (~v166(constB157)) | (~v148(constB157))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20060])).
% 26.40/17.73 tff(20062,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB157)) | v86(constB157) | (~v166(constB157)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB157) | (~v166(constB157)) | (~v148(constB157)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20061, 20059])).
% 26.40/17.73 tff(20063,plain,
% 26.40/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB157)) | v86(constB157) | (~v166(constB157)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20064,plain,
% 26.40/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB157) | (~v166(constB157)) | (~v148(constB157))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20063, 20062])).
% 26.40/17.73 tff(20065,plain,
% 26.40/17.73 (v86(constB157)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20064, 20040, 19271, 20058])).
% 26.40/17.73 tff(20066,plain,
% 26.40/17.73 ($false),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20065, 20054])).
% 26.40/17.73 tff(20067,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.73 tff(20068,assumption,(constB133 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.73 tff(20069,plain,
% 26.40/17.73 (v86(constB133) <=> v86(sK0_VarCurr)),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20068])).
% 26.40/17.73 tff(20070,plain,
% 26.40/17.73 (v86(sK0_VarCurr) <=> v86(constB133)),
% 26.40/17.73 inference(symmetry,[status(thm)],[20069])).
% 26.40/17.73 tff(20071,plain,
% 26.40/17.73 ((~v86(sK0_VarCurr)) <=> (~v86(constB133))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20070])).
% 26.40/17.73 tff(20072,plain,
% 26.40/17.73 (~v86(constB133)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20015, 20071])).
% 26.40/17.73 tff(20073,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB133, bitIndex0)) | v90(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB133, bitIndex0)) | v90(constB133, bitIndex0))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20074,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB133, bitIndex0)) | v90(constB133, bitIndex0))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20075,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB133, bitIndex0)) | v90(constB133, bitIndex0)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 26.40/17.73 tff(20076,plain,
% 26.40/17.73 (~v88(constB133, bitIndex0)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20075, 7950, 16792])).
% 26.40/17.73 tff(20077,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20078,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20079,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex2)) | v88(constB133, bitIndex2)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 26.40/17.73 tff(20080,plain,
% 26.40/17.73 (v88(constB133, bitIndex2)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20079, 7992, 16727])).
% 26.40/17.73 tff(20081,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20082,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20083,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB133, bitIndex1)) | v88(constB133, bitIndex1)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20082, 20081])).
% 26.40/17.73 tff(20084,plain,
% 26.40/17.73 (v88(constB133, bitIndex1)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20083, 8034, 16758])).
% 26.40/17.73 tff(20085,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB133, bitIndex0) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v144(constB133))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20086,plain,
% 26.40/17.73 (((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133)) <=> (v88(constB133, bitIndex0) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v144(constB133))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20087,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB133, bitIndex0) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v144(constB133)))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20086])).
% 26.40/17.73 tff(20088,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v144(constB133))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20087, 20085])).
% 26.40/17.73 tff(20089,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v88(constB133, bitIndex0) | v144(constB133))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20090,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB133, bitIndex0) | (~v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex1)) | v144(constB133)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20089, 20088])).
% 26.40/17.73 tff(20091,plain,
% 26.40/17.73 (v144(constB133)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20090, 8048, 20084, 20080, 20076])).
% 26.40/17.73 tff(20092,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20093,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20094,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20093, 20092])).
% 26.40/17.73 tff(20095,plain,
% 26.40/17.73 (v142(constB133)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20094, 8062, 20091])).
% 26.40/17.73 tff(20096,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB133)) | v148(constB133))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB133)) | v148(constB133))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20097,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB133)) | v148(constB133))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20098,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB133)) | v148(constB133)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20097, 20096])).
% 26.40/17.73 tff(20099,plain,
% 26.40/17.73 (v148(constB133)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20098, 20023, 20095])).
% 26.40/17.73 tff(20100,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB133) | (~v142(constB133)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20101,plain,
% 26.40/17.73 (((~v142(constB133)) | v167(constB133)) <=> (v167(constB133) | (~v142(constB133)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20102,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB133)) | v167(constB133))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB133) | (~v142(constB133))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20101])).
% 26.40/17.73 tff(20103,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB133)) | v167(constB133))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB133) | (~v142(constB133)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20102, 20100])).
% 26.40/17.73 tff(20104,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB133)) | v167(constB133))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20105,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB133) | (~v142(constB133))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20104, 20103])).
% 26.40/17.73 tff(20106,plain,
% 26.40/17.73 (v167(constB133)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20105, 8073, 20095])).
% 26.40/17.73 tff(20107,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB133) | (~v167(constB133)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB133) | (~v167(constB133)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20108,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB133) | (~v167(constB133)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20109,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB133) | (~v167(constB133))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20108, 20107])).
% 26.40/17.73 tff(20110,plain,
% 26.40/17.73 (v166(constB133)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20109, 8098, 20106])).
% 26.40/17.73 tff(20111,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB133) | (~v166(constB133)) | (~v148(constB133)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB133) | (~v166(constB133)) | (~v148(constB133)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20112,plain,
% 26.40/17.73 (((~v148(constB133)) | v86(constB133) | (~v166(constB133))) <=> (v86(constB133) | (~v166(constB133)) | (~v148(constB133)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20113,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB133)) | v86(constB133) | (~v166(constB133)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB133) | (~v166(constB133)) | (~v148(constB133))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20112])).
% 26.40/17.73 tff(20114,plain,
% 26.40/17.73 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB133)) | v86(constB133) | (~v166(constB133)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB133) | (~v166(constB133)) | (~v148(constB133)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20113, 20111])).
% 26.40/17.73 tff(20115,plain,
% 26.40/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB133)) | v86(constB133) | (~v166(constB133)))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20116,plain,
% 26.40/17.73 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB133) | (~v166(constB133)) | (~v148(constB133))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20115, 20114])).
% 26.40/17.73 tff(20117,plain,
% 26.40/17.73 (v86(constB133)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20116, 20040, 20110, 20099])).
% 26.40/17.73 tff(20118,plain,
% 26.40/17.73 ($false),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20117, 20072])).
% 26.40/17.73 tff(20119,plain,(~(constB133 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.73 tff(20120,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 26.40/17.73 tff(20121,plain,
% 26.40/17.73 (v86(constB169) <=> v86(sK0_VarCurr)),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20120])).
% 26.40/17.73 tff(20122,plain,
% 26.40/17.73 (v86(sK0_VarCurr) <=> v86(constB169)),
% 26.40/17.73 inference(symmetry,[status(thm)],[20121])).
% 26.40/17.73 tff(20123,plain,
% 26.40/17.73 ((~v86(sK0_VarCurr)) <=> (~v86(constB169))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20122])).
% 26.40/17.73 tff(20124,plain,
% 26.40/17.73 (~v86(constB169)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20015, 20123])).
% 26.40/17.73 tff(20125,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20126,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20127,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 26.40/17.73 tff(20128,plain,
% 26.40/17.73 (v125(constB157)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20127, 2204, 19174, 19244, 19209])).
% 26.40/17.73 tff(20129,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB157)) | v113(constB157))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20130,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20131,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB157)) | v113(constB157)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20130, 20129])).
% 26.40/17.73 tff(20132,plain,
% 26.40/17.73 (v113(constB157)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20131, 2215, 20128])).
% 26.40/17.73 tff(20133,assumption,(v26(constB157)), introduced(assumption)).
% 26.40/17.73 tff(20134,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20135,plain,
% 26.40/17.73 ($false),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20134, 120, 20133])).
% 26.40/17.73 tff(20136,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 26.40/17.73 tff(20137,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20138,plain,
% 26.40/17.73 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20139,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20138])).
% 26.40/17.73 tff(20140,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20139, 20137])).
% 26.40/17.73 tff(20141,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20142,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20141, 20140])).
% 26.40/17.73 tff(20143,plain,
% 26.40/17.73 (v112(constB157) | (~v113(constB157))),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20142, 532, 20136])).
% 26.40/17.73 tff(20144,plain,
% 26.40/17.73 (v112(constB157)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20143, 20132])).
% 26.40/17.73 tff(20145,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20146,plain,
% 26.40/17.73 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20147,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20146])).
% 26.40/17.73 tff(20148,plain,
% 26.40/17.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20147, 20145])).
% 26.40/17.73 tff(20149,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20150,plain,
% 26.40/17.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 26.40/17.73 tff(20151,plain,
% 26.40/17.73 (v108(constB157)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20150, 544, 20144])).
% 26.40/17.73 tff(20152,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20153,plain,
% 26.40/17.73 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20154,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20153])).
% 26.40/17.73 tff(20155,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20154, 20152])).
% 26.40/17.73 tff(20156,plain,
% 26.40/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20157,plain,
% 26.40/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 26.40/17.73 tff(20158,plain,
% 26.40/17.73 (v110(constB158) | (~v108(constB157))),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20157, 564, 8435])).
% 26.40/17.73 tff(20159,plain,
% 26.40/17.73 (v110(constB158)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20158, 20151])).
% 26.40/17.73 tff(20160,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20161,plain,
% 26.40/17.73 (((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20162,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20161])).
% 26.40/17.73 tff(20163,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158))),
% 26.40/17.73 inference(transitivity,[status(thm)],[20162, 20160])).
% 26.40/17.73 tff(20164,plain,
% 26.40/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 26.40/17.73 inference(quant_inst,[status(thm)],[])).
% 26.40/17.73 tff(20165,plain,
% 26.40/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | v102(constB158)),
% 26.40/17.73 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 26.40/17.73 tff(20166,plain,
% 26.40/17.73 (v104(constB158) | v102(constB158)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20165, 596, 8435])).
% 26.40/17.73 tff(20167,plain,
% 26.40/17.73 (v102(constB158)),
% 26.40/17.73 inference(unit_resolution,[status(thm)],[20166, 19357])).
% 26.40/17.73 tff(20168,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20169,plain,
% 26.40/17.73 (((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))) <=> ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 26.40/17.73 inference(rewrite,[status(thm)],[])).
% 26.40/17.73 tff(20170,plain,
% 26.40/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))))),
% 26.40/17.73 inference(monotonicity,[status(thm)],[20169])).
% 26.40/17.74 tff(20171,plain,
% 26.40/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158)))),
% 26.40/17.74 inference(transitivity,[status(thm)],[20170, 20168])).
% 26.40/17.74 tff(20172,plain,
% 26.40/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20173,plain,
% 26.40/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | (~v1(constB158)) | v101(constB158) | (~v102(constB158))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20172, 20171])).
% 26.40/17.74 tff(20174,plain,
% 26.40/17.74 (v101(constB158) | (~v102(constB158))),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20173, 617, 8435, 8419])).
% 26.40/17.74 tff(20175,plain,
% 26.40/17.74 (v101(constB158)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20174, 20167])).
% 26.40/17.74 tff(20176,plain,
% 26.40/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20177,plain,
% 26.40/17.74 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20178,plain,
% 26.40/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 26.40/17.74 inference(monotonicity,[status(thm)],[20177])).
% 26.40/17.74 tff(20179,plain,
% 26.40/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 26.40/17.74 inference(transitivity,[status(thm)],[20178, 20176])).
% 26.40/17.74 tff(20180,plain,
% 26.40/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20181,plain,
% 26.40/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 26.40/17.74 tff(20182,plain,
% 26.40/17.74 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20181, 635, 8435])).
% 26.40/17.74 tff(20183,plain,
% 26.40/17.74 (v100(constB158) | (~v110(constB158))),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20182, 20175])).
% 26.40/17.74 tff(20184,plain,
% 26.40/17.74 (v100(constB158)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20183, 20159])).
% 26.40/17.74 tff(20185,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20186,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20187,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB157)) | (~v90(constB157, bitIndex1))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 26.40/17.74 tff(20188,plain,
% 26.40/17.74 (~v124(constB157)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20187, 2342, 19244])).
% 26.40/17.74 tff(20189,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20190,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20191,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB157)) | (~v90(constB157, bitIndex1))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20190, 20189])).
% 26.40/17.74 tff(20192,plain,
% 26.40/17.74 (~v123(constB157)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20191, 2331, 19244])).
% 26.40/17.74 tff(20193,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB157)) | (~v90(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB157)) | (~v90(constB157, bitIndex2)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20194,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB157)) | (~v90(constB157, bitIndex2)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20195,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB157)) | (~v90(constB157, bitIndex2))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 26.40/17.74 tff(20196,plain,
% 26.40/17.74 (~v122(constB157)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20195, 2298, 19209])).
% 26.40/17.74 tff(20197,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB157)) | (~v90(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB157)) | (~v90(constB157, bitIndex2)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20198,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB157)) | (~v90(constB157, bitIndex2)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20199,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB157)) | (~v90(constB157, bitIndex2))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20198, 20197])).
% 26.40/17.74 tff(20200,plain,
% 26.40/17.74 (~v121(constB157)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20199, 2287, 19209])).
% 26.40/17.74 tff(20201,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20202,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20203,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB157)) | (~v90(constB157, bitIndex1))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 26.40/17.74 tff(20204,plain,
% 26.40/17.74 (~v120(constB157)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20203, 2320, 19244])).
% 26.40/17.74 tff(20205,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20206,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20207,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 26.40/17.74 tff(20208,plain,
% 26.40/17.74 (~v119(constB157)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20207, 2309, 19244])).
% 26.40/17.74 tff(20209,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20210,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20211,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20210, 20209])).
% 26.40/17.74 tff(20212,plain,
% 26.40/17.74 (~v130(constB157, bitIndex2)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20211, 2356, 20208, 20204, 20200, 20196, 20192, 20188])).
% 26.40/17.74 tff(20213,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20214,plain,
% 26.40/17.74 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20215,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 26.40/17.74 inference(monotonicity,[status(thm)],[20214])).
% 26.40/17.74 tff(20216,plain,
% 26.40/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 26.40/17.74 inference(transitivity,[status(thm)],[20215, 20213])).
% 26.40/17.74 tff(20217,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20218,plain,
% 26.40/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20217, 20216])).
% 26.40/17.74 tff(20219,plain,
% 26.40/17.74 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20218, 665, 20136])).
% 26.40/17.74 tff(20220,plain,
% 26.40/17.74 (~v127(constB157, bitIndex2)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20219, 20212])).
% 26.40/17.74 tff(20221,plain,
% 26.40/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20222,plain,
% 26.40/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20223,plain,
% 26.40/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 26.40/17.74 tff(20224,plain,
% 26.40/17.74 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20223, 683, 8435])).
% 26.40/17.74 tff(20225,plain,
% 26.40/17.74 (~v129(constB158, bitIndex2)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20224, 20220])).
% 26.40/17.74 tff(20226,plain,
% 26.40/17.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 26.40/17.74 inference(rewrite,[status(thm)],[])).
% 26.40/17.74 tff(20227,plain,
% 26.40/17.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 26.40/17.74 inference(quant_inst,[status(thm)],[])).
% 26.40/17.74 tff(20228,plain,
% 26.40/17.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 26.40/17.74 inference(modus_ponens,[status(thm)],[20227, 20226])).
% 26.40/17.74 tff(20229,plain,
% 26.40/17.74 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20228, 698, 20225])).
% 26.40/17.74 tff(20230,plain,
% 26.40/17.74 (~v90(constB158, bitIndex2)),
% 26.40/17.74 inference(unit_resolution,[status(thm)],[20229, 20184])).
% 26.40/17.74 tff(20231,plain,
% 26.40/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20232,plain,
% 26.48/17.74 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20233,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 26.48/17.74 inference(monotonicity,[status(thm)],[20232])).
% 26.48/17.74 tff(20234,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 26.48/17.74 inference(transitivity,[status(thm)],[20233, 20231])).
% 26.48/17.74 tff(20235,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20236,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 26.48/17.74 tff(20237,plain,
% 26.48/17.74 (~v101(constB159)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20236, 342, 19324, 19429])).
% 26.48/17.74 tff(20238,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20239,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20240,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 26.48/17.74 tff(20241,plain,
% 26.48/17.74 (v101(constB159) | (~v100(constB159))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20240, 359, 19324])).
% 26.48/17.74 tff(20242,plain,
% 26.48/17.74 (~v100(constB159)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20241, 20237])).
% 26.48/17.74 tff(20243,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20244,plain,
% 26.48/17.74 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20245,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 26.48/17.74 inference(monotonicity,[status(thm)],[20244])).
% 26.48/17.74 tff(20246,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 26.48/17.74 inference(transitivity,[status(thm)],[20245, 20243])).
% 26.48/17.74 tff(20247,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20248,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 26.48/17.74 tff(20249,plain,
% 26.48/17.74 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20248, 374, 19324])).
% 26.48/17.74 tff(20250,plain,
% 26.48/17.74 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20249, 20242])).
% 26.48/17.74 tff(20251,plain,
% 26.48/17.74 (~v90(constB159, bitIndex2)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20250, 20230])).
% 26.48/17.74 tff(20252,plain,
% 26.48/17.74 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20253,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20254,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20253, 20252])).
% 26.48/17.74 tff(20255,plain,
% 26.48/17.74 (~v130(constB157, bitIndex1)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20254, 2415, 20208, 20204, 20200, 20196, 20192, 20188])).
% 26.48/17.74 tff(20256,plain,
% 26.48/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20257,plain,
% 26.48/17.74 ((v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1))) <=> ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20258,plain,
% 26.48/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)))),
% 26.48/17.74 inference(monotonicity,[status(thm)],[20257])).
% 26.48/17.74 tff(20259,plain,
% 26.48/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 26.48/17.74 inference(transitivity,[status(thm)],[20258, 20256])).
% 26.48/17.74 tff(20260,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20261,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20260, 20259])).
% 26.48/17.74 tff(20262,plain,
% 26.48/17.74 ((~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20261, 751, 20136])).
% 26.48/17.74 tff(20263,plain,
% 26.48/17.74 (~v127(constB157, bitIndex1)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20262, 20255])).
% 26.48/17.74 tff(20264,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20265,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20266,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 26.48/17.74 tff(20267,plain,
% 26.48/17.74 (v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20266, 769, 8435])).
% 26.48/17.74 tff(20268,plain,
% 26.48/17.74 (~v129(constB158, bitIndex1)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20267, 20263])).
% 26.48/17.74 tff(20269,plain,
% 26.48/17.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20270,plain,
% 26.48/17.74 (((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20271,plain,
% 26.48/17.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))))),
% 26.48/17.74 inference(monotonicity,[status(thm)],[20270])).
% 26.48/17.74 tff(20272,plain,
% 26.48/17.74 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 26.48/17.74 inference(transitivity,[status(thm)],[20271, 20269])).
% 26.48/17.74 tff(20273,plain,
% 26.48/17.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20274,plain,
% 26.48/17.74 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 26.48/17.74 tff(20275,plain,
% 26.48/17.74 ((~v90(constB158, bitIndex1)) | (~v100(constB158))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20274, 784, 20268])).
% 26.48/17.74 tff(20276,plain,
% 26.48/17.74 (~v90(constB158, bitIndex1)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20275, 20184])).
% 26.48/17.74 tff(20277,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20278,plain,
% 26.48/17.74 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20279,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))))),
% 26.48/17.74 inference(monotonicity,[status(thm)],[20278])).
% 26.48/17.74 tff(20280,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 26.48/17.74 inference(transitivity,[status(thm)],[20279, 20277])).
% 26.48/17.74 tff(20281,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20282,plain,
% 26.48/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20281, 20280])).
% 26.48/17.74 tff(20283,plain,
% 26.48/17.74 (v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20282, 395, 19324])).
% 26.48/17.74 tff(20284,plain,
% 26.48/17.74 (v90(constB158, bitIndex1) | (~v90(constB159, bitIndex1))),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20283, 20242])).
% 26.48/17.74 tff(20285,plain,
% 26.48/17.74 (~v90(constB159, bitIndex1)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20284, 20276])).
% 26.48/17.74 tff(20286,plain,
% 26.48/17.74 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20287,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20288,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0)),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20287, 20286])).
% 26.48/17.74 tff(20289,plain,
% 26.48/17.74 (v130(constB157, bitIndex0)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20288, 2459, 20208, 20204, 20200, 20196, 20192, 20188])).
% 26.48/17.74 tff(20290,plain,
% 26.48/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 26.48/17.74 inference(rewrite,[status(thm)],[])).
% 26.48/17.74 tff(20291,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 26.48/17.74 inference(quant_inst,[status(thm)],[])).
% 26.48/17.74 tff(20292,plain,
% 26.48/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 26.48/17.74 inference(modus_ponens,[status(thm)],[20291, 20290])).
% 26.48/17.74 tff(20293,plain,
% 26.48/17.74 ((~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20292, 822, 20136])).
% 26.48/17.74 tff(20294,plain,
% 26.48/17.74 (v127(constB157, bitIndex0)),
% 26.48/17.74 inference(unit_resolution,[status(thm)],[20293, 20289])).
% 26.48/17.74 tff(20295,plain,
% 26.48/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20296,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20297,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20296, 20295])).
% 26.48/17.75 tff(20298,plain,
% 26.48/17.75 ((~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20297, 837, 8435])).
% 26.48/17.75 tff(20299,plain,
% 26.48/17.75 (v129(constB158, bitIndex0)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20298, 20294])).
% 26.48/17.75 tff(20300,plain,
% 26.48/17.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20301,plain,
% 26.48/17.75 ((v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20302,plain,
% 26.48/17.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20301])).
% 26.48/17.75 tff(20303,plain,
% 26.48/17.75 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20302, 20300])).
% 26.48/17.75 tff(20304,plain,
% 26.48/17.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20305,plain,
% 26.48/17.75 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20304, 20303])).
% 26.48/17.75 tff(20306,plain,
% 26.48/17.75 (v90(constB158, bitIndex0) | (~v100(constB158))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20305, 852, 20299])).
% 26.48/17.75 tff(20307,plain,
% 26.48/17.75 (v90(constB158, bitIndex0)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20306, 20184])).
% 26.48/17.75 tff(20308,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20309,plain,
% 26.48/17.75 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20310,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20309])).
% 26.48/17.75 tff(20311,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20310, 20308])).
% 26.48/17.75 tff(20312,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20313,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20312, 20311])).
% 26.48/17.75 tff(20314,plain,
% 26.48/17.75 ((~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20313, 870, 19324])).
% 26.48/17.75 tff(20315,plain,
% 26.48/17.75 ((~v90(constB158, bitIndex0)) | v90(constB159, bitIndex0)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20314, 20242])).
% 26.48/17.75 tff(20316,plain,
% 26.48/17.75 (v90(constB159, bitIndex0)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20315, 20307])).
% 26.48/17.75 tff(20317,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20318,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20319,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20318, 20317])).
% 26.48/17.75 tff(20320,plain,
% 26.48/17.75 (v120(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20319, 889, 20316, 20285, 20251])).
% 26.48/17.75 tff(20321,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB159)) | v118(constB159))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20322,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20323,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB159)) | v118(constB159)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 26.48/17.75 tff(20324,plain,
% 26.48/17.75 (v118(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20323, 900, 20320])).
% 26.48/17.75 tff(20325,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20326,plain,
% 26.48/17.75 (((~v118(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v118(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20327,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20326])).
% 26.48/17.75 tff(20328,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20327, 20325])).
% 26.48/17.75 tff(20329,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20330,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20329, 20328])).
% 26.48/17.75 tff(20331,plain,
% 26.48/17.75 (v117(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20330, 462, 20324])).
% 26.48/17.75 tff(20332,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB159)) | v116(constB159))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20333,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20334,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB159)) | v116(constB159)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20333, 20332])).
% 26.48/17.75 tff(20335,plain,
% 26.48/17.75 (v116(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20334, 476, 20331])).
% 26.48/17.75 tff(20336,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB159)) | v115(constB159))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20337,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20338,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB159)) | v115(constB159)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20337, 20336])).
% 26.48/17.75 tff(20339,plain,
% 26.48/17.75 (v115(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20338, 490, 20335])).
% 26.48/17.75 tff(20340,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20341,plain,
% 26.48/17.75 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20342,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20341])).
% 26.48/17.75 tff(20343,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20342, 20340])).
% 26.48/17.75 tff(20344,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20345,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20344, 20343])).
% 26.48/17.75 tff(20346,plain,
% 26.48/17.75 (v114(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20345, 504, 20339])).
% 26.48/17.75 tff(20347,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20348,plain,
% 26.48/17.75 (((~v114(constB159)) | v113(constB159)) <=> (v113(constB159) | (~v114(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20349,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20348])).
% 26.48/17.75 tff(20350,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20349, 20347])).
% 26.48/17.75 tff(20351,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20352,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20351, 20350])).
% 26.48/17.75 tff(20353,plain,
% 26.48/17.75 (v113(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20352, 518, 20346])).
% 26.48/17.75 tff(20354,assumption,(v26(constB159)), introduced(assumption)).
% 26.48/17.75 tff(20355,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20356,plain,
% 26.48/17.75 ($false),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20355, 120, 20354])).
% 26.48/17.75 tff(20357,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 26.48/17.75 tff(20358,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20359,plain,
% 26.48/17.75 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20360,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20359])).
% 26.48/17.75 tff(20361,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20360, 20358])).
% 26.48/17.75 tff(20362,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20363,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 26.48/17.75 tff(20364,plain,
% 26.48/17.75 (v112(constB159) | (~v113(constB159))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20363, 532, 20357])).
% 26.48/17.75 tff(20365,plain,
% 26.48/17.75 (v112(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20364, 20353])).
% 26.48/17.75 tff(20366,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20367,plain,
% 26.48/17.75 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20368,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20367])).
% 26.48/17.75 tff(20369,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20368, 20366])).
% 26.48/17.75 tff(20370,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20371,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20370, 20369])).
% 26.48/17.75 tff(20372,plain,
% 26.48/17.75 (v108(constB159)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20371, 544, 20365])).
% 26.48/17.75 tff(20373,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20374,plain,
% 26.48/17.75 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20375,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20374])).
% 26.48/17.75 tff(20376,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20375, 20373])).
% 26.48/17.75 tff(20377,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20378,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 26.48/17.75 tff(20379,plain,
% 26.48/17.75 (v110(constB160) | (~v108(constB159))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20378, 564, 19510])).
% 26.48/17.75 tff(20380,plain,
% 26.48/17.75 (v110(constB160)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20379, 20372])).
% 26.48/17.75 tff(20381,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20382,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20383,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20382, 20381])).
% 26.48/17.75 tff(20384,plain,
% 26.48/17.75 (~v104(constB160)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20383, 582, 19510, 19429])).
% 26.48/17.75 tff(20385,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20386,plain,
% 26.48/17.75 (((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20387,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20386])).
% 26.48/17.75 tff(20388,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20387, 20385])).
% 26.48/17.75 tff(20389,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20390,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | v102(constB160)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20389, 20388])).
% 26.48/17.75 tff(20391,plain,
% 26.48/17.75 (v104(constB160) | v102(constB160)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20390, 596, 19510])).
% 26.48/17.75 tff(20392,plain,
% 26.48/17.75 (v102(constB160)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20391, 20384])).
% 26.48/17.75 tff(20393,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20394,plain,
% 26.48/17.75 (((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))) <=> ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20395,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20394])).
% 26.48/17.75 tff(20396,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20395, 20393])).
% 26.48/17.75 tff(20397,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20398,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | (~v1(constB160)) | v101(constB160) | (~v102(constB160))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 26.48/17.75 tff(20399,plain,
% 26.48/17.75 (v101(constB160) | (~v102(constB160))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20398, 617, 19510, 19522])).
% 26.48/17.75 tff(20400,plain,
% 26.48/17.75 (v101(constB160)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20399, 20392])).
% 26.48/17.75 tff(20401,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20402,plain,
% 26.48/17.75 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20403,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20402])).
% 26.48/17.75 tff(20404,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20403, 20401])).
% 26.48/17.75 tff(20405,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20406,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20405, 20404])).
% 26.48/17.75 tff(20407,plain,
% 26.48/17.75 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20406, 635, 19510])).
% 26.48/17.75 tff(20408,plain,
% 26.48/17.75 (v100(constB160) | (~v110(constB160))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20407, 20400])).
% 26.48/17.75 tff(20409,plain,
% 26.48/17.75 (v100(constB160)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20408, 20380])).
% 26.48/17.75 tff(20410,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20411,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20412,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 26.48/17.75 tff(20413,plain,
% 26.48/17.75 (~v130(constB159, bitIndex2)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20412, 1005, 20320])).
% 26.48/17.75 tff(20414,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20415,plain,
% 26.48/17.75 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20416,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 26.48/17.75 inference(monotonicity,[status(thm)],[20415])).
% 26.48/17.75 tff(20417,plain,
% 26.48/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 26.48/17.75 inference(transitivity,[status(thm)],[20416, 20414])).
% 26.48/17.75 tff(20418,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20419,plain,
% 26.48/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 26.48/17.75 tff(20420,plain,
% 26.48/17.75 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20419, 665, 20357])).
% 26.48/17.75 tff(20421,plain,
% 26.48/17.75 (~v127(constB159, bitIndex2)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20420, 20413])).
% 26.48/17.75 tff(20422,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20423,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20424,plain,
% 26.48/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 26.48/17.75 tff(20425,plain,
% 26.48/17.75 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20424, 683, 19510])).
% 26.48/17.75 tff(20426,plain,
% 26.48/17.75 (~v129(constB160, bitIndex2)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20425, 20421])).
% 26.48/17.75 tff(20427,plain,
% 26.48/17.75 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20428,plain,
% 26.48/17.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 26.48/17.75 inference(quant_inst,[status(thm)],[])).
% 26.48/17.75 tff(20429,plain,
% 26.48/17.75 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20428, 20427])).
% 26.48/17.75 tff(20430,plain,
% 26.48/17.75 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20429, 698, 20426])).
% 26.48/17.75 tff(20431,plain,
% 26.48/17.75 (~v90(constB160, bitIndex2)),
% 26.48/17.75 inference(unit_resolution,[status(thm)],[20430, 20409])).
% 26.48/17.75 tff(20432,plain,
% 26.48/17.75 ((~v1(constB161)) <=> (~v1(constB161))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20433,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 26.48/17.75 tff(20434,plain,
% 26.48/17.75 (~v1(constB161)),
% 26.48/17.75 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 26.48/17.75 tff(20435,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20436,plain,
% 26.48/17.75 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 26.48/17.75 inference(rewrite,[status(thm)],[])).
% 26.48/17.75 tff(20437,plain,
% 26.48/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20436])).
% 26.48/17.76 tff(20438,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20437, 20435])).
% 26.48/17.76 tff(20439,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20440,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20439, 20438])).
% 26.48/17.76 tff(20441,plain,
% 26.48/17.76 (~v101(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20440, 342, 19542, 20434])).
% 26.48/17.76 tff(20442,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20443,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20444,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 26.48/17.76 tff(20445,plain,
% 26.48/17.76 (v101(constB161) | (~v100(constB161))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20444, 359, 19542])).
% 26.48/17.76 tff(20446,plain,
% 26.48/17.76 (~v100(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20445, 20441])).
% 26.48/17.76 tff(20447,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20448,plain,
% 26.48/17.76 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20449,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20448])).
% 26.48/17.76 tff(20450,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20449, 20447])).
% 26.48/17.76 tff(20451,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20452,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20451, 20450])).
% 26.48/17.76 tff(20453,plain,
% 26.48/17.76 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20452, 374, 19542])).
% 26.48/17.76 tff(20454,plain,
% 26.48/17.76 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20453, 20446])).
% 26.48/17.76 tff(20455,plain,
% 26.48/17.76 (~v90(constB161, bitIndex2)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20454, 20431])).
% 26.48/17.76 tff(20456,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20457,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20458,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20457, 20456])).
% 26.48/17.76 tff(20459,plain,
% 26.48/17.76 (v130(constB159, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20458, 1061, 20320])).
% 26.48/17.76 tff(20460,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20461,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20462,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20461, 20460])).
% 26.48/17.76 tff(20463,plain,
% 26.48/17.76 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20462, 1075, 20357])).
% 26.48/17.76 tff(20464,plain,
% 26.48/17.76 (v127(constB159, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20463, 20459])).
% 26.48/17.76 tff(20465,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20466,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20467,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 26.48/17.76 tff(20468,plain,
% 26.48/17.76 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20467, 1090, 19510])).
% 26.48/17.76 tff(20469,plain,
% 26.48/17.76 (v129(constB160, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20468, 20464])).
% 26.48/17.76 tff(20470,plain,
% 26.48/17.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20471,plain,
% 26.48/17.76 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20472,plain,
% 26.48/17.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20471])).
% 26.48/17.76 tff(20473,plain,
% 26.48/17.76 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20472, 20470])).
% 26.48/17.76 tff(20474,plain,
% 26.48/17.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20475,plain,
% 26.48/17.76 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 26.48/17.76 tff(20476,plain,
% 26.48/17.76 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20475, 1105, 20469])).
% 26.48/17.76 tff(20477,plain,
% 26.48/17.76 (v90(constB160, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20476, 20409])).
% 26.48/17.76 tff(20478,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20479,plain,
% 26.48/17.76 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20480,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20479])).
% 26.48/17.76 tff(20481,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20480, 20478])).
% 26.48/17.76 tff(20482,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20483,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20482, 20481])).
% 26.48/17.76 tff(20484,plain,
% 26.48/17.76 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20483, 1123, 19542])).
% 26.48/17.76 tff(20485,plain,
% 26.48/17.76 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20484, 20446])).
% 26.48/17.76 tff(20486,plain,
% 26.48/17.76 (v90(constB161, bitIndex1)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20485, 20477])).
% 26.48/17.76 tff(20487,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20488,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20489,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 26.48/17.76 tff(20490,plain,
% 26.48/17.76 (~v130(constB159, bitIndex0)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20489, 1139, 20320])).
% 26.48/17.76 tff(20491,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20492,plain,
% 26.48/17.76 ((v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0))) <=> ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20493,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20492])).
% 26.48/17.76 tff(20494,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20493, 20491])).
% 26.48/17.76 tff(20495,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20496,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20495, 20494])).
% 26.48/17.76 tff(20497,plain,
% 26.48/17.76 ((~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20496, 1153, 20357])).
% 26.48/17.76 tff(20498,plain,
% 26.48/17.76 (~v127(constB159, bitIndex0)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20497, 20490])).
% 26.48/17.76 tff(20499,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20500,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20501,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 26.48/17.76 tff(20502,plain,
% 26.48/17.76 (v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20501, 1171, 19510])).
% 26.48/17.76 tff(20503,plain,
% 26.48/17.76 (~v129(constB160, bitIndex0)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20502, 20498])).
% 26.48/17.76 tff(20504,plain,
% 26.48/17.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20505,plain,
% 26.48/17.76 (((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20506,plain,
% 26.48/17.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20505])).
% 26.48/17.76 tff(20507,plain,
% 26.48/17.76 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20506, 20504])).
% 26.48/17.76 tff(20508,plain,
% 26.48/17.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20509,plain,
% 26.48/17.76 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 26.48/17.76 tff(20510,plain,
% 26.48/17.76 ((~v90(constB160, bitIndex0)) | (~v100(constB160))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20509, 1186, 20503])).
% 26.48/17.76 tff(20511,plain,
% 26.48/17.76 (~v90(constB160, bitIndex0)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20510, 20409])).
% 26.48/17.76 tff(20512,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20513,plain,
% 26.48/17.76 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20514,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20513])).
% 26.48/17.76 tff(20515,plain,
% 26.48/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20514, 20512])).
% 26.48/17.76 tff(20516,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20517,plain,
% 26.48/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20516, 20515])).
% 26.48/17.76 tff(20518,plain,
% 26.48/17.76 (v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20517, 416, 19542])).
% 26.48/17.76 tff(20519,plain,
% 26.48/17.76 (v90(constB160, bitIndex0) | (~v90(constB161, bitIndex0))),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20518, 20446])).
% 26.48/17.76 tff(20520,plain,
% 26.48/17.76 (~v90(constB161, bitIndex0)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20519, 20511])).
% 26.48/17.76 tff(20521,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20522,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20523,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20522, 20521])).
% 26.48/17.76 tff(20524,plain,
% 26.48/17.76 (v121(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20523, 1213, 20520, 20486, 20455])).
% 26.48/17.76 tff(20525,assumption,(v121(constB161)), introduced(assumption)).
% 26.48/17.76 tff(20526,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB161)) | v117(constB161))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20527,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20528,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB161)) | v117(constB161)),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20527, 20526])).
% 26.48/17.76 tff(20529,plain,
% 26.48/17.76 (v117(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20528, 1224, 20525])).
% 26.48/17.76 tff(20530,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20531,plain,
% 26.48/17.76 (((~v117(constB161)) | v116(constB161)) <=> (v116(constB161) | (~v117(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20532,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20531])).
% 26.48/17.76 tff(20533,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20532, 20530])).
% 26.48/17.76 tff(20534,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20535,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 26.48/17.76 tff(20536,plain,
% 26.48/17.76 (v116(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20535, 476, 20529])).
% 26.48/17.76 tff(20537,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20538,plain,
% 26.48/17.76 (((~v116(constB161)) | v115(constB161)) <=> (v115(constB161) | (~v116(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20539,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20538])).
% 26.48/17.76 tff(20540,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20539, 20537])).
% 26.48/17.76 tff(20541,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20542,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20541, 20540])).
% 26.48/17.76 tff(20543,plain,
% 26.48/17.76 (v115(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20542, 490, 20536])).
% 26.48/17.76 tff(20544,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20545,plain,
% 26.48/17.76 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20546,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20545])).
% 26.48/17.76 tff(20547,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20546, 20544])).
% 26.48/17.76 tff(20548,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20549,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 26.48/17.76 tff(20550,plain,
% 26.48/17.76 (v114(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20549, 504, 20543])).
% 26.48/17.76 tff(20551,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20552,plain,
% 26.48/17.76 (((~v114(constB161)) | v113(constB161)) <=> (v113(constB161) | (~v114(constB161)))),
% 26.48/17.76 inference(rewrite,[status(thm)],[])).
% 26.48/17.76 tff(20553,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161))))),
% 26.48/17.76 inference(monotonicity,[status(thm)],[20552])).
% 26.48/17.76 tff(20554,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 26.48/17.76 inference(transitivity,[status(thm)],[20553, 20551])).
% 26.48/17.76 tff(20555,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20556,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161))),
% 26.48/17.76 inference(modus_ponens,[status(thm)],[20555, 20554])).
% 26.48/17.76 tff(20557,plain,
% 26.48/17.76 (v113(constB161)),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20556, 518, 20550])).
% 26.48/17.76 tff(20558,assumption,(v26(constB161)), introduced(assumption)).
% 26.48/17.76 tff(20559,plain,
% 26.48/17.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 26.48/17.76 inference(quant_inst,[status(thm)],[])).
% 26.48/17.76 tff(20560,plain,
% 26.48/17.76 ($false),
% 26.48/17.76 inference(unit_resolution,[status(thm)],[20559, 120, 20558])).
% 26.48/17.76 tff(20561,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 26.48/17.76 tff(20562,plain,
% 26.48/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20563,plain,
% 26.48/17.77 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20564,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20563])).
% 26.48/17.77 tff(20565,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20564, 20562])).
% 26.48/17.77 tff(20566,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20567,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 26.48/17.77 tff(20568,plain,
% 26.48/17.77 (v112(constB161) | (~v113(constB161))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20567, 532, 20561])).
% 26.48/17.77 tff(20569,plain,
% 26.48/17.77 (v112(constB161)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20568, 20557])).
% 26.48/17.77 tff(20570,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20571,plain,
% 26.48/17.77 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20572,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20571])).
% 26.48/17.77 tff(20573,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20572, 20570])).
% 26.48/17.77 tff(20574,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20575,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 26.48/17.77 tff(20576,plain,
% 26.48/17.77 (v108(constB161)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20575, 544, 20569])).
% 26.48/17.77 tff(20577,plain,
% 26.48/17.77 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20578,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 26.48/17.77 tff(20579,plain,
% 26.48/17.77 (nextState(constB161, constB162)),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 26.48/17.77 tff(20580,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20581,plain,
% 26.48/17.77 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20582,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20581])).
% 26.48/17.77 tff(20583,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20582, 20580])).
% 26.48/17.77 tff(20584,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20585,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20584, 20583])).
% 26.48/17.77 tff(20586,plain,
% 26.48/17.77 (v110(constB162) | (~v108(constB161))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20585, 564, 20579])).
% 26.48/17.77 tff(20587,plain,
% 26.48/17.77 (v110(constB162)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20586, 20576])).
% 26.48/17.77 tff(20588,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20589,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20590,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 26.48/17.77 tff(20591,plain,
% 26.48/17.77 (~v104(constB162)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20590, 582, 20579, 20434])).
% 26.48/17.77 tff(20592,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20593,plain,
% 26.48/17.77 (((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20594,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20593])).
% 26.48/17.77 tff(20595,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20594, 20592])).
% 26.48/17.77 tff(20596,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20597,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | v102(constB162)),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20596, 20595])).
% 26.48/17.77 tff(20598,plain,
% 26.48/17.77 (v104(constB162) | v102(constB162)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20597, 596, 20579])).
% 26.48/17.77 tff(20599,plain,
% 26.48/17.77 (v102(constB162)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20598, 20591])).
% 26.48/17.77 tff(20600,plain,
% 26.48/17.77 (v1(constB162) <=> v1(constB162)),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20601,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 26.48/17.77 tff(20602,plain,
% 26.48/17.77 (v1(constB162)),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20601, 20600])).
% 26.48/17.77 tff(20603,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20604,plain,
% 26.48/17.77 (((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))) <=> ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20605,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20604])).
% 26.48/17.77 tff(20606,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162)))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20605, 20603])).
% 26.48/17.77 tff(20607,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20608,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | (~v1(constB162)) | v101(constB162) | (~v102(constB162))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 26.48/17.77 tff(20609,plain,
% 26.48/17.77 (v101(constB162) | (~v102(constB162))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20608, 617, 20579, 20602])).
% 26.48/17.77 tff(20610,plain,
% 26.48/17.77 (v101(constB162)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20609, 20599])).
% 26.48/17.77 tff(20611,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20612,plain,
% 26.48/17.77 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20613,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20612])).
% 26.48/17.77 tff(20614,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20613, 20611])).
% 26.48/17.77 tff(20615,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20616,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 26.48/17.77 tff(20617,plain,
% 26.48/17.77 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20616, 635, 20579])).
% 26.48/17.77 tff(20618,plain,
% 26.48/17.77 (v100(constB162) | (~v110(constB162))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20617, 20610])).
% 26.48/17.77 tff(20619,plain,
% 26.48/17.77 (v100(constB162)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20618, 20587])).
% 26.48/17.77 tff(20620,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20621,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20622,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20621, 20620])).
% 26.48/17.77 tff(20623,plain,
% 26.48/17.77 (~v130(constB161, bitIndex2)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20622, 1325, 20525])).
% 26.48/17.77 tff(20624,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20625,plain,
% 26.48/17.77 ((v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2))) <=> ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20626,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20625])).
% 26.48/17.77 tff(20627,plain,
% 26.48/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20626, 20624])).
% 26.48/17.77 tff(20628,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20629,plain,
% 26.48/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20628, 20627])).
% 26.48/17.77 tff(20630,plain,
% 26.48/17.77 ((~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20629, 665, 20561])).
% 26.48/17.77 tff(20631,plain,
% 26.48/17.77 (~v127(constB161, bitIndex2)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20630, 20623])).
% 26.48/17.77 tff(20632,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20633,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20634,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 26.48/17.77 tff(20635,plain,
% 26.48/17.77 (v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20634, 683, 20579])).
% 26.48/17.77 tff(20636,plain,
% 26.48/17.77 (~v129(constB162, bitIndex2)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20635, 20631])).
% 26.48/17.77 tff(20637,plain,
% 26.48/17.77 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20638,plain,
% 26.48/17.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20639,plain,
% 26.48/17.77 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20638, 20637])).
% 26.48/17.77 tff(20640,plain,
% 26.48/17.77 ((~v90(constB162, bitIndex2)) | (~v100(constB162))),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20639, 698, 20636])).
% 26.48/17.77 tff(20641,plain,
% 26.48/17.77 (~v90(constB162, bitIndex2)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20640, 20619])).
% 26.48/17.77 tff(20642,plain,
% 26.48/17.77 ((~v1(constB163)) <=> (~v1(constB163))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20643,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 26.48/17.77 tff(20644,plain,
% 26.48/17.77 (~v1(constB163)),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20643, 20642])).
% 26.48/17.77 tff(20645,plain,
% 26.48/17.77 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20646,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 26.48/17.77 tff(20647,plain,
% 26.48/17.77 (nextState(constB162, constB163)),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 26.48/17.77 tff(20648,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20649,plain,
% 26.48/17.77 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 26.48/17.77 inference(rewrite,[status(thm)],[])).
% 26.48/17.77 tff(20650,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 26.48/17.77 inference(monotonicity,[status(thm)],[20649])).
% 26.48/17.77 tff(20651,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 26.48/17.77 inference(transitivity,[status(thm)],[20650, 20648])).
% 26.48/17.77 tff(20652,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 26.48/17.77 inference(quant_inst,[status(thm)],[])).
% 26.48/17.77 tff(20653,plain,
% 26.48/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 26.48/17.77 inference(modus_ponens,[status(thm)],[20652, 20651])).
% 26.48/17.77 tff(20654,plain,
% 26.48/17.77 (~v101(constB163)),
% 26.48/17.77 inference(unit_resolution,[status(thm)],[20653, 342, 20647, 20644])).
% 26.48/17.77 tff(20655,plain,
% 26.48/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20656,plain,
% 26.51/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 26.51/17.77 inference(quant_inst,[status(thm)],[])).
% 26.51/17.77 tff(20657,plain,
% 26.51/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 26.51/17.77 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 26.51/17.77 tff(20658,plain,
% 26.51/17.77 (v101(constB163) | (~v100(constB163))),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20657, 359, 20647])).
% 26.51/17.77 tff(20659,plain,
% 26.51/17.77 (~v100(constB163)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20658, 20654])).
% 26.51/17.77 tff(20660,plain,
% 26.51/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20661,plain,
% 26.51/17.77 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20662,plain,
% 26.51/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))))),
% 26.51/17.77 inference(monotonicity,[status(thm)],[20661])).
% 26.51/17.77 tff(20663,plain,
% 26.51/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 26.51/17.77 inference(transitivity,[status(thm)],[20662, 20660])).
% 26.51/17.77 tff(20664,plain,
% 26.51/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 26.51/17.77 inference(quant_inst,[status(thm)],[])).
% 26.51/17.77 tff(20665,plain,
% 26.51/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 26.51/17.77 inference(modus_ponens,[status(thm)],[20664, 20663])).
% 26.51/17.77 tff(20666,plain,
% 26.51/17.77 (v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20665, 374, 20647])).
% 26.51/17.77 tff(20667,plain,
% 26.51/17.77 (v90(constB162, bitIndex2) | (~v90(constB163, bitIndex2))),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20666, 20659])).
% 26.51/17.77 tff(20668,plain,
% 26.51/17.77 (~v90(constB163, bitIndex2)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20667, 20641])).
% 26.51/17.77 tff(20669,plain,
% 26.51/17.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20670,plain,
% 26.51/17.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))),
% 26.51/17.77 inference(quant_inst,[status(thm)],[])).
% 26.51/17.77 tff(20671,plain,
% 26.51/17.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0)),
% 26.51/17.77 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 26.51/17.77 tff(20672,plain,
% 26.51/17.77 (v130(constB161, bitIndex0)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20671, 1413, 20525])).
% 26.51/17.77 tff(20673,plain,
% 26.51/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20674,plain,
% 26.51/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 26.51/17.77 inference(quant_inst,[status(thm)],[])).
% 26.51/17.77 tff(20675,plain,
% 26.51/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 26.51/17.77 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 26.51/17.77 tff(20676,plain,
% 26.51/17.77 ((~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20675, 822, 20561])).
% 26.51/17.77 tff(20677,plain,
% 26.51/17.77 (v127(constB161, bitIndex0)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20676, 20672])).
% 26.51/17.77 tff(20678,plain,
% 26.51/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20679,plain,
% 26.51/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 26.51/17.77 inference(quant_inst,[status(thm)],[])).
% 26.51/17.77 tff(20680,plain,
% 26.51/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 26.51/17.77 inference(modus_ponens,[status(thm)],[20679, 20678])).
% 26.51/17.77 tff(20681,plain,
% 26.51/17.77 ((~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20680, 837, 20579])).
% 26.51/17.77 tff(20682,plain,
% 26.51/17.77 (v129(constB162, bitIndex0)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20681, 20677])).
% 26.51/17.77 tff(20683,plain,
% 26.51/17.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20684,plain,
% 26.51/17.77 ((v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20685,plain,
% 26.51/17.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))))),
% 26.51/17.77 inference(monotonicity,[status(thm)],[20684])).
% 26.51/17.77 tff(20686,plain,
% 26.51/17.77 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 26.51/17.77 inference(transitivity,[status(thm)],[20685, 20683])).
% 26.51/17.77 tff(20687,plain,
% 26.51/17.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))),
% 26.51/17.77 inference(quant_inst,[status(thm)],[])).
% 26.51/17.77 tff(20688,plain,
% 26.51/17.77 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))),
% 26.51/17.77 inference(modus_ponens,[status(thm)],[20687, 20686])).
% 26.51/17.77 tff(20689,plain,
% 26.51/17.77 (v90(constB162, bitIndex0) | (~v100(constB162))),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20688, 852, 20682])).
% 26.51/17.77 tff(20690,plain,
% 26.51/17.77 (v90(constB162, bitIndex0)),
% 26.51/17.77 inference(unit_resolution,[status(thm)],[20689, 20619])).
% 26.51/17.77 tff(20691,plain,
% 26.51/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20692,plain,
% 26.51/17.77 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 26.51/17.77 inference(rewrite,[status(thm)],[])).
% 26.51/17.77 tff(20693,plain,
% 26.51/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20692])).
% 26.51/17.78 tff(20694,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20693, 20691])).
% 26.51/17.78 tff(20695,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20696,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20695, 20694])).
% 26.51/17.78 tff(20697,plain,
% 26.51/17.78 ((~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20696, 870, 20647])).
% 26.51/17.78 tff(20698,plain,
% 26.51/17.78 ((~v90(constB162, bitIndex0)) | v90(constB163, bitIndex0)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20697, 20659])).
% 26.51/17.78 tff(20699,plain,
% 26.51/17.78 (v90(constB163, bitIndex0)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20698, 20690])).
% 26.51/17.78 tff(20700,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20701,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20702,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20701, 20700])).
% 26.51/17.78 tff(20703,plain,
% 26.51/17.78 (v130(constB161, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20702, 1375, 20525])).
% 26.51/17.78 tff(20704,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20705,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20706,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 26.51/17.78 tff(20707,plain,
% 26.51/17.78 ((~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20706, 1075, 20561])).
% 26.51/17.78 tff(20708,plain,
% 26.51/17.78 (v127(constB161, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20707, 20703])).
% 26.51/17.78 tff(20709,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20710,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20711,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20710, 20709])).
% 26.51/17.78 tff(20712,plain,
% 26.51/17.78 ((~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20711, 1090, 20579])).
% 26.51/17.78 tff(20713,plain,
% 26.51/17.78 (v129(constB162, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20712, 20708])).
% 26.51/17.78 tff(20714,plain,
% 26.51/17.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20715,plain,
% 26.51/17.78 ((v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20716,plain,
% 26.51/17.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20715])).
% 26.51/17.78 tff(20717,plain,
% 26.51/17.78 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20716, 20714])).
% 26.51/17.78 tff(20718,plain,
% 26.51/17.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20719,plain,
% 26.51/17.78 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20718, 20717])).
% 26.51/17.78 tff(20720,plain,
% 26.51/17.78 (v90(constB162, bitIndex1) | (~v100(constB162))),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20719, 1105, 20713])).
% 26.51/17.78 tff(20721,plain,
% 26.51/17.78 (v90(constB162, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20720, 20619])).
% 26.51/17.78 tff(20722,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20723,plain,
% 26.51/17.78 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20724,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20723])).
% 26.51/17.78 tff(20725,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20724, 20722])).
% 26.51/17.78 tff(20726,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20727,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20726, 20725])).
% 26.51/17.78 tff(20728,plain,
% 26.51/17.78 ((~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20727, 1123, 20647])).
% 26.51/17.78 tff(20729,plain,
% 26.51/17.78 ((~v90(constB162, bitIndex1)) | v90(constB163, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20728, 20659])).
% 26.51/17.78 tff(20730,plain,
% 26.51/17.78 (v90(constB163, bitIndex1)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20729, 20721])).
% 26.51/17.78 tff(20731,assumption,(~v122(constB163)), introduced(assumption)).
% 26.51/17.78 tff(20732,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20733,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20734,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20733, 20732])).
% 26.51/17.78 tff(20735,plain,
% 26.51/17.78 ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20734, 1454, 20731])).
% 26.51/17.78 tff(20736,plain,
% 26.51/17.78 ($false),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20735, 20730, 20699, 20668])).
% 26.51/17.78 tff(20737,plain,((~v121(constB161)) | v122(constB163)), inference(lemma,lemma(discharge,[]))).
% 26.51/17.78 tff(20738,plain,
% 26.51/17.78 (v122(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20737, 20524])).
% 26.51/17.78 tff(20739,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20740,plain,
% 26.51/17.78 (((~v122(constB163)) | v116(constB163)) <=> (v116(constB163) | (~v122(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20741,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v122(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20740])).
% 26.51/17.78 tff(20742,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20741, 20739])).
% 26.51/17.78 tff(20743,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20744,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 26.51/17.78 tff(20745,plain,
% 26.51/17.78 (v116(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20744, 1465, 20738])).
% 26.51/17.78 tff(20746,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20747,plain,
% 26.51/17.78 (((~v116(constB163)) | v115(constB163)) <=> (v115(constB163) | (~v116(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20748,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20747])).
% 26.51/17.78 tff(20749,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20748, 20746])).
% 26.51/17.78 tff(20750,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20751,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20750, 20749])).
% 26.51/17.78 tff(20752,plain,
% 26.51/17.78 (v115(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20751, 490, 20745])).
% 26.51/17.78 tff(20753,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20754,plain,
% 26.51/17.78 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20755,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20754])).
% 26.51/17.78 tff(20756,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20755, 20753])).
% 26.51/17.78 tff(20757,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20758,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 26.51/17.78 tff(20759,plain,
% 26.51/17.78 (v114(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20758, 504, 20752])).
% 26.51/17.78 tff(20760,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20761,plain,
% 26.51/17.78 (((~v114(constB163)) | v113(constB163)) <=> (v113(constB163) | (~v114(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20762,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20761])).
% 26.51/17.78 tff(20763,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20762, 20760])).
% 26.51/17.78 tff(20764,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20765,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20764, 20763])).
% 26.51/17.78 tff(20766,plain,
% 26.51/17.78 (v113(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20765, 518, 20759])).
% 26.51/17.78 tff(20767,assumption,(v26(constB163)), introduced(assumption)).
% 26.51/17.78 tff(20768,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20769,plain,
% 26.51/17.78 ($false),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20768, 120, 20767])).
% 26.51/17.78 tff(20770,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 26.51/17.78 tff(20771,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20772,plain,
% 26.51/17.78 ((v26(constB163) | (~v113(constB163)) | v112(constB163)) <=> (v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20773,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | v112(constB163) | (~v113(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20772])).
% 26.51/17.78 tff(20774,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20773, 20771])).
% 26.51/17.78 tff(20775,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20776,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | v112(constB163) | (~v113(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20775, 20774])).
% 26.51/17.78 tff(20777,plain,
% 26.51/17.78 (v112(constB163) | (~v113(constB163))),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20776, 532, 20770])).
% 26.51/17.78 tff(20778,plain,
% 26.51/17.78 (v112(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20777, 20766])).
% 26.51/17.78 tff(20779,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20780,plain,
% 26.51/17.78 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20781,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20780])).
% 26.51/17.78 tff(20782,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20781, 20779])).
% 26.51/17.78 tff(20783,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20784,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 26.51/17.78 tff(20785,plain,
% 26.51/17.78 (v108(constB163)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20784, 544, 20778])).
% 26.51/17.78 tff(20786,plain,
% 26.51/17.78 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20787,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 26.51/17.78 tff(20788,plain,
% 26.51/17.78 (nextState(constB163, constB164)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20787, 20786])).
% 26.51/17.78 tff(20789,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20790,plain,
% 26.51/17.78 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20791,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20790])).
% 26.51/17.78 tff(20792,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20791, 20789])).
% 26.51/17.78 tff(20793,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20794,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 26.51/17.78 tff(20795,plain,
% 26.51/17.78 (v110(constB164) | (~v108(constB163))),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20794, 564, 20788])).
% 26.51/17.78 tff(20796,plain,
% 26.51/17.78 (v110(constB164)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20795, 20785])).
% 26.51/17.78 tff(20797,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20798,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20799,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20798, 20797])).
% 26.51/17.78 tff(20800,plain,
% 26.51/17.78 (~v104(constB164)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20799, 582, 20788, 20644])).
% 26.51/17.78 tff(20801,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20802,plain,
% 26.51/17.78 (((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20803,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20802])).
% 26.51/17.78 tff(20804,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20803, 20801])).
% 26.51/17.78 tff(20805,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20806,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | v102(constB164)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 26.51/17.78 tff(20807,plain,
% 26.51/17.78 (v104(constB164) | v102(constB164)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20806, 596, 20788])).
% 26.51/17.78 tff(20808,plain,
% 26.51/17.78 (v102(constB164)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20807, 20800])).
% 26.51/17.78 tff(20809,plain,
% 26.51/17.78 (v1(constB164) <=> v1(constB164)),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20810,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 26.51/17.78 tff(20811,plain,
% 26.51/17.78 (v1(constB164)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 26.51/17.78 tff(20812,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20813,plain,
% 26.51/17.78 (((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))) <=> ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20814,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20813])).
% 26.51/17.78 tff(20815,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20814, 20812])).
% 26.51/17.78 tff(20816,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20817,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | (~v1(constB164)) | v101(constB164) | (~v102(constB164))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20816, 20815])).
% 26.51/17.78 tff(20818,plain,
% 26.51/17.78 (v101(constB164) | (~v102(constB164))),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20817, 617, 20788, 20811])).
% 26.51/17.78 tff(20819,plain,
% 26.51/17.78 (v101(constB164)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20818, 20808])).
% 26.51/17.78 tff(20820,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20821,plain,
% 26.51/17.78 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20822,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 26.51/17.78 inference(monotonicity,[status(thm)],[20821])).
% 26.51/17.78 tff(20823,plain,
% 26.51/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 26.51/17.78 inference(transitivity,[status(thm)],[20822, 20820])).
% 26.51/17.78 tff(20824,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20825,plain,
% 26.51/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20824, 20823])).
% 26.51/17.78 tff(20826,plain,
% 26.51/17.78 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20825, 635, 20788])).
% 26.51/17.78 tff(20827,plain,
% 26.51/17.78 (v100(constB164) | (~v110(constB164))),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20826, 20819])).
% 26.51/17.78 tff(20828,plain,
% 26.51/17.78 (v100(constB164)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20827, 20796])).
% 26.51/17.78 tff(20829,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20830,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20831,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20830, 20829])).
% 26.51/17.78 tff(20832,plain,
% 26.51/17.78 (v130(constB163, bitIndex2)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20831, 1546, 20738])).
% 26.51/17.78 tff(20833,plain,
% 26.51/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 26.51/17.78 inference(rewrite,[status(thm)],[])).
% 26.51/17.78 tff(20834,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 26.51/17.78 inference(quant_inst,[status(thm)],[])).
% 26.51/17.78 tff(20835,plain,
% 26.51/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 26.51/17.78 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 26.51/17.78 tff(20836,plain,
% 26.51/17.78 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20835, 1560, 20770])).
% 26.51/17.78 tff(20837,plain,
% 26.51/17.78 (v127(constB163, bitIndex2)),
% 26.51/17.78 inference(unit_resolution,[status(thm)],[20836, 20832])).
% 26.51/17.79 tff(20838,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20839,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20840,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20839, 20838])).
% 26.51/17.79 tff(20841,plain,
% 26.51/17.79 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20840, 1575, 20788])).
% 26.51/17.79 tff(20842,plain,
% 26.51/17.79 (v129(constB164, bitIndex2)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20841, 20837])).
% 26.51/17.79 tff(20843,plain,
% 26.51/17.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20844,plain,
% 26.51/17.79 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20845,plain,
% 26.51/17.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20844])).
% 26.51/17.79 tff(20846,plain,
% 26.51/17.79 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20845, 20843])).
% 26.51/17.79 tff(20847,plain,
% 26.51/17.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20848,plain,
% 26.51/17.79 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20847, 20846])).
% 26.51/17.79 tff(20849,plain,
% 26.51/17.79 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20848, 1590, 20842])).
% 26.51/17.79 tff(20850,plain,
% 26.51/17.79 (v90(constB164, bitIndex2)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20849, 20828])).
% 26.51/17.79 tff(20851,plain,
% 26.51/17.79 ((~v1(constB165)) <=> (~v1(constB165))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20852,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 26.51/17.79 tff(20853,plain,
% 26.51/17.79 (~v1(constB165)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 26.51/17.79 tff(20854,plain,
% 26.51/17.79 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20855,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 26.51/17.79 tff(20856,plain,
% 26.51/17.79 (nextState(constB164, constB165)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20855, 20854])).
% 26.51/17.79 tff(20857,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20858,plain,
% 26.51/17.79 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20859,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20858])).
% 26.51/17.79 tff(20860,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20859, 20857])).
% 26.51/17.79 tff(20861,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20862,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 26.51/17.79 tff(20863,plain,
% 26.51/17.79 (~v101(constB165)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20862, 342, 20856, 20853])).
% 26.51/17.79 tff(20864,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20865,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20866,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 26.51/17.79 tff(20867,plain,
% 26.51/17.79 (v101(constB165) | (~v100(constB165))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20866, 359, 20856])).
% 26.51/17.79 tff(20868,plain,
% 26.51/17.79 (~v100(constB165)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20867, 20863])).
% 26.51/17.79 tff(20869,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20870,plain,
% 26.51/17.79 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20871,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20870])).
% 26.51/17.79 tff(20872,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20871, 20869])).
% 26.51/17.79 tff(20873,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20874,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20873, 20872])).
% 26.51/17.79 tff(20875,plain,
% 26.51/17.79 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20874, 1626, 20856])).
% 26.51/17.79 tff(20876,plain,
% 26.51/17.79 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20875, 20868])).
% 26.51/17.79 tff(20877,plain,
% 26.51/17.79 (v90(constB165, bitIndex2)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20876, 20850])).
% 26.51/17.79 tff(20878,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20879,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20880,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 26.51/17.79 tff(20881,plain,
% 26.51/17.79 (~v130(constB163, bitIndex1)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20880, 1642, 20738])).
% 26.51/17.79 tff(20882,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20883,plain,
% 26.51/17.79 ((v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1))) <=> ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20884,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20883])).
% 26.51/17.79 tff(20885,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20884, 20882])).
% 26.51/17.79 tff(20886,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20887,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20886, 20885])).
% 26.51/17.79 tff(20888,plain,
% 26.51/17.79 ((~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20887, 751, 20770])).
% 26.51/17.79 tff(20889,plain,
% 26.51/17.79 (~v127(constB163, bitIndex1)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20888, 20881])).
% 26.51/17.79 tff(20890,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20891,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20892,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20891, 20890])).
% 26.51/17.79 tff(20893,plain,
% 26.51/17.79 (v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20892, 769, 20788])).
% 26.51/17.79 tff(20894,plain,
% 26.51/17.79 (~v129(constB164, bitIndex1)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20893, 20889])).
% 26.51/17.79 tff(20895,plain,
% 26.51/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20896,plain,
% 26.51/17.79 (((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20897,plain,
% 26.51/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20896])).
% 26.51/17.79 tff(20898,plain,
% 26.51/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20897, 20895])).
% 26.51/17.79 tff(20899,plain,
% 26.51/17.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20900,plain,
% 26.51/17.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 26.51/17.79 tff(20901,plain,
% 26.51/17.79 ((~v90(constB164, bitIndex1)) | (~v100(constB164))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20900, 784, 20894])).
% 26.51/17.79 tff(20902,plain,
% 26.51/17.79 (~v90(constB164, bitIndex1)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20901, 20828])).
% 26.51/17.79 tff(20903,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20904,plain,
% 26.51/17.79 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20905,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20904])).
% 26.51/17.79 tff(20906,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20905, 20903])).
% 26.51/17.79 tff(20907,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20908,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20907, 20906])).
% 26.51/17.79 tff(20909,plain,
% 26.51/17.79 (v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20908, 395, 20856])).
% 26.51/17.79 tff(20910,plain,
% 26.51/17.79 (v90(constB164, bitIndex1) | (~v90(constB165, bitIndex1))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20909, 20868])).
% 26.51/17.79 tff(20911,plain,
% 26.51/17.79 (~v90(constB165, bitIndex1)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20910, 20902])).
% 26.51/17.79 tff(20912,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20913,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20914,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20913, 20912])).
% 26.51/17.79 tff(20915,plain,
% 26.51/17.79 (~v130(constB163, bitIndex0)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20914, 1683, 20738])).
% 26.51/17.79 tff(20916,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20917,plain,
% 26.51/17.79 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20918,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20917])).
% 26.51/17.79 tff(20919,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20918, 20916])).
% 26.51/17.79 tff(20920,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20921,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 26.51/17.79 tff(20922,plain,
% 26.51/17.79 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20921, 1153, 20770])).
% 26.51/17.79 tff(20923,plain,
% 26.51/17.79 (~v127(constB163, bitIndex0)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20922, 20915])).
% 26.51/17.79 tff(20924,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20925,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20926,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 26.51/17.79 tff(20927,plain,
% 26.51/17.79 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20926, 1171, 20788])).
% 26.51/17.79 tff(20928,plain,
% 26.51/17.79 (~v129(constB164, bitIndex0)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20927, 20923])).
% 26.51/17.79 tff(20929,plain,
% 26.51/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20930,plain,
% 26.51/17.79 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20931,plain,
% 26.51/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20930])).
% 26.51/17.79 tff(20932,plain,
% 26.51/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20931, 20929])).
% 26.51/17.79 tff(20933,plain,
% 26.51/17.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20934,plain,
% 26.51/17.79 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 26.51/17.79 tff(20935,plain,
% 26.51/17.79 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20934, 1186, 20928])).
% 26.51/17.79 tff(20936,plain,
% 26.51/17.79 (~v90(constB164, bitIndex0)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20935, 20828])).
% 26.51/17.79 tff(20937,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20938,plain,
% 26.51/17.79 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20939,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20938])).
% 26.51/17.79 tff(20940,plain,
% 26.51/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20939, 20937])).
% 26.51/17.79 tff(20941,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20942,plain,
% 26.51/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 26.51/17.79 tff(20943,plain,
% 26.51/17.79 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20942, 416, 20856])).
% 26.51/17.79 tff(20944,plain,
% 26.51/17.79 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20943, 20868])).
% 26.51/17.79 tff(20945,plain,
% 26.51/17.79 (~v90(constB165, bitIndex0)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20944, 20936])).
% 26.51/17.79 tff(20946,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20947,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20948,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 26.51/17.79 tff(20949,plain,
% 26.51/17.79 (v123(constB165)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20948, 1727, 20945, 20911, 20877])).
% 26.51/17.79 tff(20950,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v123(constB165)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v123(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20951,plain,
% 26.51/17.79 (((~v123(constB165)) | v115(constB165)) <=> (v115(constB165) | (~v123(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20952,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v123(constB165))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20951])).
% 26.51/17.79 tff(20953,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v123(constB165)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20952, 20950])).
% 26.51/17.79 tff(20954,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20955,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v123(constB165))),
% 26.51/17.79 inference(modus_ponens,[status(thm)],[20954, 20953])).
% 26.51/17.79 tff(20956,plain,
% 26.51/17.79 (v115(constB165)),
% 26.51/17.79 inference(unit_resolution,[status(thm)],[20955, 1784, 20949])).
% 26.51/17.79 tff(20957,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20958,plain,
% 26.51/17.79 (((~v115(constB165)) | v114(constB165)) <=> (v114(constB165) | (~v115(constB165)))),
% 26.51/17.79 inference(rewrite,[status(thm)],[])).
% 26.51/17.79 tff(20959,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165))))),
% 26.51/17.79 inference(monotonicity,[status(thm)],[20958])).
% 26.51/17.79 tff(20960,plain,
% 26.51/17.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 26.51/17.79 inference(transitivity,[status(thm)],[20959, 20957])).
% 26.51/17.79 tff(20961,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))),
% 26.51/17.79 inference(quant_inst,[status(thm)],[])).
% 26.51/17.79 tff(20962,plain,
% 26.51/17.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 26.51/17.80 tff(20963,plain,
% 26.51/17.80 (v114(constB165)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20962, 504, 20956])).
% 26.51/17.80 tff(20964,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20965,plain,
% 26.51/17.80 (((~v114(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v114(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20966,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[20965])).
% 26.51/17.80 tff(20967,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[20966, 20964])).
% 26.51/17.80 tff(20968,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(20969,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[20968, 20967])).
% 26.51/17.80 tff(20970,plain,
% 26.51/17.80 (v113(constB165)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20969, 518, 20963])).
% 26.51/17.80 tff(20971,assumption,(v26(constB165)), introduced(assumption)).
% 26.51/17.80 tff(20972,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(20973,plain,
% 26.51/17.80 ($false),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20972, 120, 20971])).
% 26.51/17.80 tff(20974,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 26.51/17.80 tff(20975,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20976,plain,
% 26.51/17.80 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20977,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[20976])).
% 26.51/17.80 tff(20978,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[20977, 20975])).
% 26.51/17.80 tff(20979,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(20980,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 26.51/17.80 tff(20981,plain,
% 26.51/17.80 (v112(constB165) | (~v113(constB165))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20980, 532, 20974])).
% 26.51/17.80 tff(20982,plain,
% 26.51/17.80 (v112(constB165)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20981, 20970])).
% 26.51/17.80 tff(20983,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20984,plain,
% 26.51/17.80 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20985,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[20984])).
% 26.51/17.80 tff(20986,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[20985, 20983])).
% 26.51/17.80 tff(20987,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(20988,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[20987, 20986])).
% 26.51/17.80 tff(20989,plain,
% 26.51/17.80 (v108(constB165)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20988, 544, 20982])).
% 26.51/17.80 tff(20990,plain,
% 26.51/17.80 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20991,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 26.51/17.80 tff(20992,plain,
% 26.51/17.80 (nextState(constB165, constB166)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 26.51/17.80 tff(20993,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20994,plain,
% 26.51/17.80 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(20995,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[20994])).
% 26.51/17.80 tff(20996,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[20995, 20993])).
% 26.51/17.80 tff(20997,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(20998,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[20997, 20996])).
% 26.51/17.80 tff(20999,plain,
% 26.51/17.80 (v110(constB166) | (~v108(constB165))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20998, 564, 20992])).
% 26.51/17.80 tff(21000,plain,
% 26.51/17.80 (v110(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20999, 20989])).
% 26.51/17.80 tff(21001,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21002,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21003,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 26.51/17.80 tff(21004,plain,
% 26.51/17.80 (~v104(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21003, 582, 20992, 20853])).
% 26.51/17.80 tff(21005,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21006,plain,
% 26.51/17.80 (((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21007,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21006])).
% 26.51/17.80 tff(21008,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21007, 21005])).
% 26.51/17.80 tff(21009,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21010,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | v102(constB166)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21009, 21008])).
% 26.51/17.80 tff(21011,plain,
% 26.51/17.80 (v104(constB166) | v102(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21010, 596, 20992])).
% 26.51/17.80 tff(21012,plain,
% 26.51/17.80 (v102(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21011, 21004])).
% 26.51/17.80 tff(21013,plain,
% 26.51/17.80 (v1(constB166) <=> v1(constB166)),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21014,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 26.51/17.80 tff(21015,plain,
% 26.51/17.80 (v1(constB166)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 26.51/17.80 tff(21016,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21017,plain,
% 26.51/17.80 (((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))) <=> ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21018,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21017])).
% 26.51/17.80 tff(21019,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21018, 21016])).
% 26.51/17.80 tff(21020,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21021,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | (~v1(constB166)) | v101(constB166) | (~v102(constB166))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 26.51/17.80 tff(21022,plain,
% 26.51/17.80 (v101(constB166) | (~v102(constB166))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21021, 617, 20992, 21015])).
% 26.51/17.80 tff(21023,plain,
% 26.51/17.80 (v101(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21022, 21012])).
% 26.51/17.80 tff(21024,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21025,plain,
% 26.51/17.80 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21026,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21025])).
% 26.51/17.80 tff(21027,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21026, 21024])).
% 26.51/17.80 tff(21028,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21029,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21028, 21027])).
% 26.51/17.80 tff(21030,plain,
% 26.51/17.80 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21029, 635, 20992])).
% 26.51/17.80 tff(21031,plain,
% 26.51/17.80 (v100(constB166) | (~v110(constB166))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21030, 21023])).
% 26.51/17.80 tff(21032,plain,
% 26.51/17.80 (v100(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21031, 21000])).
% 26.51/17.80 tff(21033,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21034,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21035,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 26.51/17.80 tff(21036,plain,
% 26.51/17.80 (v130(constB165, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21035, 1934, 20949])).
% 26.51/17.80 tff(21037,plain,
% 26.51/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21038,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21039,plain,
% 26.51/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21038, 21037])).
% 26.51/17.80 tff(21040,plain,
% 26.51/17.80 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21039, 822, 20974])).
% 26.51/17.80 tff(21041,plain,
% 26.51/17.80 (v127(constB165, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21040, 21036])).
% 26.51/17.80 tff(21042,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21043,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21044,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 26.51/17.80 tff(21045,plain,
% 26.51/17.80 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21044, 837, 20992])).
% 26.51/17.80 tff(21046,plain,
% 26.51/17.80 (v129(constB166, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21045, 21041])).
% 26.51/17.80 tff(21047,plain,
% 26.51/17.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21048,plain,
% 26.51/17.80 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21049,plain,
% 26.51/17.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21048])).
% 26.51/17.80 tff(21050,plain,
% 26.51/17.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21049, 21047])).
% 26.51/17.80 tff(21051,plain,
% 26.51/17.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21052,plain,
% 26.51/17.80 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21051, 21050])).
% 26.51/17.80 tff(21053,plain,
% 26.51/17.80 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21052, 852, 21046])).
% 26.51/17.80 tff(21054,plain,
% 26.51/17.80 (v90(constB166, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21053, 21032])).
% 26.51/17.80 tff(21055,plain,
% 26.51/17.80 ((~v1(constB167)) <=> (~v1(constB167))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21056,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 26.51/17.80 tff(21057,plain,
% 26.51/17.80 (~v1(constB167)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 26.51/17.80 tff(21058,plain,
% 26.51/17.80 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21059,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 26.51/17.80 tff(21060,plain,
% 26.51/17.80 (nextState(constB166, constB167)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 26.51/17.80 tff(21061,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21062,plain,
% 26.51/17.80 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21063,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21062])).
% 26.51/17.80 tff(21064,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21063, 21061])).
% 26.51/17.80 tff(21065,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21066,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21065, 21064])).
% 26.51/17.80 tff(21067,plain,
% 26.51/17.80 (~v101(constB167)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21066, 342, 21060, 21057])).
% 26.51/17.80 tff(21068,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21069,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21070,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 26.51/17.80 tff(21071,plain,
% 26.51/17.80 (v101(constB167) | (~v100(constB167))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21070, 359, 21060])).
% 26.51/17.80 tff(21072,plain,
% 26.51/17.80 (~v100(constB167)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21071, 21067])).
% 26.51/17.80 tff(21073,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21074,plain,
% 26.51/17.80 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21075,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21074])).
% 26.51/17.80 tff(21076,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21075, 21073])).
% 26.51/17.80 tff(21077,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21078,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21077, 21076])).
% 26.51/17.80 tff(21079,plain,
% 26.51/17.80 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21078, 870, 21060])).
% 26.51/17.80 tff(21080,plain,
% 26.51/17.80 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21079, 21072])).
% 26.51/17.80 tff(21081,plain,
% 26.51/17.80 (v90(constB167, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21080, 21054])).
% 26.51/17.80 tff(21082,assumption,(v122(constB163)), introduced(assumption)).
% 26.51/17.80 tff(21083,plain,
% 26.51/17.80 (v116(constB163)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20744, 1465, 21082])).
% 26.51/17.80 tff(21084,plain,
% 26.51/17.80 (v115(constB163)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20751, 490, 21083])).
% 26.51/17.80 tff(21085,plain,
% 26.51/17.80 (v114(constB163)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20758, 504, 21084])).
% 26.51/17.80 tff(21086,plain,
% 26.51/17.80 (v113(constB163)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20765, 518, 21085])).
% 26.51/17.80 tff(21087,plain,
% 26.51/17.80 (v112(constB163)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20777, 21086])).
% 26.51/17.80 tff(21088,plain,
% 26.51/17.80 (v108(constB163)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20784, 544, 21087])).
% 26.51/17.80 tff(21089,plain,
% 26.51/17.80 (v110(constB164)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20795, 21088])).
% 26.51/17.80 tff(21090,plain,
% 26.51/17.80 (v100(constB164)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20827, 21089])).
% 26.51/17.80 tff(21091,plain,
% 26.51/17.80 (v130(constB163, bitIndex2)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20831, 1546, 21082])).
% 26.51/17.80 tff(21092,plain,
% 26.51/17.80 (v127(constB163, bitIndex2)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20836, 21091])).
% 26.51/17.80 tff(21093,plain,
% 26.51/17.80 (v129(constB164, bitIndex2)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20841, 21092])).
% 26.51/17.80 tff(21094,plain,
% 26.51/17.80 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20848, 1590, 21093])).
% 26.51/17.80 tff(21095,plain,
% 26.51/17.80 (v90(constB164, bitIndex2)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21094, 21090])).
% 26.51/17.80 tff(21096,plain,
% 26.51/17.80 (v90(constB165, bitIndex2)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20876, 21095])).
% 26.51/17.80 tff(21097,plain,
% 26.51/17.80 (~v130(constB163, bitIndex1)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20880, 1642, 21082])).
% 26.51/17.80 tff(21098,plain,
% 26.51/17.80 (~v127(constB163, bitIndex1)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20888, 21097])).
% 26.51/17.80 tff(21099,plain,
% 26.51/17.80 (~v129(constB164, bitIndex1)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20893, 21098])).
% 26.51/17.80 tff(21100,plain,
% 26.51/17.80 ((~v90(constB164, bitIndex1)) | (~v100(constB164))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20900, 784, 21099])).
% 26.51/17.80 tff(21101,plain,
% 26.51/17.80 (~v90(constB164, bitIndex1)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21100, 21090])).
% 26.51/17.80 tff(21102,plain,
% 26.51/17.80 (~v90(constB165, bitIndex1)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20910, 21101])).
% 26.51/17.80 tff(21103,plain,
% 26.51/17.80 (~v130(constB163, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20914, 1683, 21082])).
% 26.51/17.80 tff(21104,plain,
% 26.51/17.80 (~v127(constB163, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20922, 21103])).
% 26.51/17.80 tff(21105,plain,
% 26.51/17.80 (~v129(constB164, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20927, 21104])).
% 26.51/17.80 tff(21106,plain,
% 26.51/17.80 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20934, 1186, 21105])).
% 26.51/17.80 tff(21107,plain,
% 26.51/17.80 (~v90(constB164, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21106, 21090])).
% 26.51/17.80 tff(21108,plain,
% 26.51/17.80 (~v90(constB165, bitIndex0)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20944, 21107])).
% 26.51/17.80 tff(21109,plain,
% 26.51/17.80 (v123(constB165)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[20948, 1727, 21108, 21102, 21096])).
% 26.51/17.80 tff(21110,assumption,(~v90(constB166, bitIndex2)), introduced(assumption)).
% 26.51/17.80 tff(21111,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21112,plain,
% 26.51/17.80 (((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2)) <=> ((~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21113,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2)))),
% 26.51/17.80 inference(monotonicity,[status(thm)],[21112])).
% 26.51/17.80 tff(21114,plain,
% 26.51/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2))),
% 26.51/17.80 inference(transitivity,[status(thm)],[21113, 21111])).
% 26.51/17.80 tff(21115,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2))),
% 26.51/17.80 inference(quant_inst,[status(thm)],[])).
% 26.51/17.80 tff(21116,plain,
% 26.51/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB165, bitIndex2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, bitIndex2)),
% 26.51/17.80 inference(modus_ponens,[status(thm)],[21115, 21114])).
% 26.51/17.80 tff(21117,plain,
% 26.51/17.80 ((~v90(constB165, bitIndex2)) | v100(constB166) | v90(constB166, bitIndex2)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21116, 1626, 20992])).
% 26.51/17.80 tff(21118,plain,
% 26.51/17.80 (v100(constB166)),
% 26.51/17.80 inference(unit_resolution,[status(thm)],[21117, 21096, 21110])).
% 26.51/17.80 tff(21119,plain,
% 26.51/17.80 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 26.51/17.80 inference(rewrite,[status(thm)],[])).
% 26.51/17.80 tff(21120,plain,
% 26.51/17.80 ((v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21121,plain,
% 26.51/17.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21120])).
% 26.51/17.81 tff(21122,plain,
% 26.51/17.81 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21121, 21119])).
% 26.51/17.81 tff(21123,plain,
% 26.51/17.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21124,plain,
% 26.51/17.81 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21123, 21122])).
% 26.51/17.81 tff(21125,plain,
% 26.51/17.81 ((~v129(constB166, bitIndex2)) | (~v100(constB166))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21124, 1590, 21110])).
% 26.51/17.81 tff(21126,plain,
% 26.51/17.81 (~v129(constB166, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21125, 21118])).
% 26.51/17.81 tff(21127,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21128,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21129,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 26.51/17.81 tff(21130,plain,
% 26.51/17.81 ((~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21129, 1575, 20992])).
% 26.51/17.81 tff(21131,plain,
% 26.51/17.81 (~v127(constB165, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21130, 21126])).
% 26.51/17.81 tff(21132,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21133,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21134,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21133, 21132])).
% 26.51/17.81 tff(21135,plain,
% 26.51/17.81 ((~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21134, 1560, 20974])).
% 26.51/17.81 tff(21136,plain,
% 26.51/17.81 (~v130(constB165, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21135, 21131])).
% 26.51/17.81 tff(21137,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21138,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21139,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21138, 21137])).
% 26.51/17.81 tff(21140,plain,
% 26.51/17.81 ($false),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21139, 1738, 21136, 21109])).
% 26.51/17.81 tff(21141,plain,((~v122(constB163)) | v90(constB166, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 26.51/17.81 tff(21142,plain,
% 26.51/17.81 (v90(constB166, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21141, 20738])).
% 26.51/17.81 tff(21143,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21144,plain,
% 26.51/17.81 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21145,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21144])).
% 26.51/17.81 tff(21146,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21145, 21143])).
% 26.51/17.81 tff(21147,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21148,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 26.51/17.81 tff(21149,plain,
% 26.51/17.81 ((~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21148, 1626, 21060])).
% 26.51/17.81 tff(21150,plain,
% 26.51/17.81 ((~v90(constB166, bitIndex2)) | v90(constB167, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21149, 21072])).
% 26.51/17.81 tff(21151,plain,
% 26.51/17.81 (v90(constB167, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21150, 21142])).
% 26.51/17.81 tff(21152,plain,
% 26.51/17.81 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 26.51/17.81 inference(bind,[status(th)],[])).
% 26.51/17.81 tff(21153,plain,
% 26.51/17.81 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 26.51/17.81 inference(quant_intro,[status(thm)],[21152])).
% 26.51/17.81 tff(21154,plain,
% 26.51/17.81 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21155,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 26.51/17.81 tff(21156,plain,
% 26.51/17.81 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 26.51/17.81 tff(21157,plain,(
% 26.51/17.81 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 26.51/17.81 inference(skolemize,[status(sab)],[21156])).
% 26.51/17.81 tff(21158,plain,
% 26.51/17.81 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21157, 21153])).
% 26.51/17.81 tff(21159,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v90(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v90(constB167, bitIndex2)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21160,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v90(constB167, bitIndex2)))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21161,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v90(constB167, bitIndex2))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21160, 21159])).
% 26.51/17.81 tff(21162,plain,
% 26.51/17.81 (~v120(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21161, 21158, 21151])).
% 26.51/17.81 tff(21163,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21164,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21165,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21164, 21163])).
% 26.51/17.81 tff(21166,plain,
% 26.51/17.81 (~v130(constB165, bitIndex1)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21165, 1893, 20949])).
% 26.51/17.81 tff(21167,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21168,plain,
% 26.51/17.81 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21169,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21168])).
% 26.51/17.81 tff(21170,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21169, 21167])).
% 26.51/17.81 tff(21171,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21172,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21171, 21170])).
% 26.51/17.81 tff(21173,plain,
% 26.51/17.81 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21172, 751, 20974])).
% 26.51/17.81 tff(21174,plain,
% 26.51/17.81 (~v127(constB165, bitIndex1)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21173, 21166])).
% 26.51/17.81 tff(21175,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21176,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21177,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21176, 21175])).
% 26.51/17.81 tff(21178,plain,
% 26.51/17.81 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21177, 769, 20992])).
% 26.51/17.81 tff(21179,plain,
% 26.51/17.81 (~v129(constB166, bitIndex1)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21178, 21174])).
% 26.51/17.81 tff(21180,plain,
% 26.51/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21181,plain,
% 26.51/17.81 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21182,plain,
% 26.51/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21181])).
% 26.51/17.81 tff(21183,plain,
% 26.51/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21182, 21180])).
% 26.51/17.81 tff(21184,plain,
% 26.51/17.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21185,plain,
% 26.51/17.81 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21184, 21183])).
% 26.51/17.81 tff(21186,plain,
% 26.51/17.81 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21185, 784, 21179])).
% 26.51/17.81 tff(21187,plain,
% 26.51/17.81 (~v90(constB166, bitIndex1)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21186, 21032])).
% 26.51/17.81 tff(21188,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21189,plain,
% 26.51/17.81 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21190,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21189])).
% 26.51/17.81 tff(21191,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21190, 21188])).
% 26.51/17.81 tff(21192,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21193,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21192, 21191])).
% 26.51/17.81 tff(21194,plain,
% 26.51/17.81 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21193, 395, 21060])).
% 26.51/17.81 tff(21195,plain,
% 26.51/17.81 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21194, 21072])).
% 26.51/17.81 tff(21196,plain,
% 26.51/17.81 (~v90(constB167, bitIndex1)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21195, 21187])).
% 26.51/17.81 tff(21197,assumption,(~v120(constB167)), introduced(assumption)).
% 26.51/17.81 tff(21198,assumption,(~v90(constB167, bitIndex1)), introduced(assumption)).
% 26.51/17.81 tff(21199,assumption,(~v124(constB167)), introduced(assumption)).
% 26.51/17.81 tff(21200,assumption,(v90(constB167, bitIndex0)), introduced(assumption)).
% 26.51/17.81 tff(21201,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21202,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21203,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21202, 21201])).
% 26.51/17.81 tff(21204,plain,
% 26.51/17.81 (v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21203, 1975, 21200])).
% 26.51/17.81 tff(21205,plain,
% 26.51/17.81 (~v90(constB167, bitIndex2)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21204, 21198, 21199])).
% 26.51/17.81 tff(21206,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21207,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21208,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21207, 21206])).
% 26.51/17.81 tff(21209,plain,
% 26.51/17.81 (v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21208, 889, 21200])).
% 26.51/17.81 tff(21210,plain,
% 26.51/17.81 ($false),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21209, 21205, 21198, 21197])).
% 26.51/17.81 tff(21211,plain,(v90(constB167, bitIndex1) | v120(constB167) | (~v90(constB167, bitIndex0)) | v124(constB167)), inference(lemma,lemma(discharge,[]))).
% 26.51/17.81 tff(21212,plain,
% 26.51/17.81 (v124(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21211, 21196, 21162, 21081])).
% 26.51/17.81 tff(21213,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21214,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21215,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 26.51/17.81 tff(21216,plain,
% 26.51/17.81 (v114(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21215, 1986, 21212])).
% 26.51/17.81 tff(21217,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21218,plain,
% 26.51/17.81 (((~v114(constB167)) | v113(constB167)) <=> (v113(constB167) | (~v114(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21219,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21218])).
% 26.51/17.81 tff(21220,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21219, 21217])).
% 26.51/17.81 tff(21221,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21222,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21221, 21220])).
% 26.51/17.81 tff(21223,plain,
% 26.51/17.81 (v113(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21222, 518, 21216])).
% 26.51/17.81 tff(21224,assumption,(v26(constB167)), introduced(assumption)).
% 26.51/17.81 tff(21225,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21226,plain,
% 26.51/17.81 ($false),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21225, 120, 21224])).
% 26.51/17.81 tff(21227,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 26.51/17.81 tff(21228,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21229,plain,
% 26.51/17.81 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21230,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21229])).
% 26.51/17.81 tff(21231,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21230, 21228])).
% 26.51/17.81 tff(21232,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21233,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21232, 21231])).
% 26.51/17.81 tff(21234,plain,
% 26.51/17.81 (v112(constB167) | (~v113(constB167))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21233, 532, 21227])).
% 26.51/17.81 tff(21235,plain,
% 26.51/17.81 (v112(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21234, 21223])).
% 26.51/17.81 tff(21236,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21237,plain,
% 26.51/17.81 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21238,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21237])).
% 26.51/17.81 tff(21239,plain,
% 26.51/17.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21238, 21236])).
% 26.51/17.81 tff(21240,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21241,plain,
% 26.51/17.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21240, 21239])).
% 26.51/17.81 tff(21242,plain,
% 26.51/17.81 (v108(constB167)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21241, 544, 21235])).
% 26.51/17.81 tff(21243,plain,
% 26.51/17.81 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21244,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 26.51/17.81 tff(21245,plain,
% 26.51/17.81 (nextState(constB167, constB168)),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 26.51/17.81 tff(21246,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21247,plain,
% 26.51/17.81 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.81 tff(21248,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 26.51/17.81 inference(monotonicity,[status(thm)],[21247])).
% 26.51/17.81 tff(21249,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 26.51/17.81 inference(transitivity,[status(thm)],[21248, 21246])).
% 26.51/17.81 tff(21250,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 26.51/17.81 inference(quant_inst,[status(thm)],[])).
% 26.51/17.81 tff(21251,plain,
% 26.51/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 26.51/17.81 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 26.51/17.81 tff(21252,plain,
% 26.51/17.81 (v110(constB168) | (~v108(constB167))),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21251, 564, 21245])).
% 26.51/17.81 tff(21253,plain,
% 26.51/17.81 (v110(constB168)),
% 26.51/17.81 inference(unit_resolution,[status(thm)],[21252, 21242])).
% 26.51/17.81 tff(21254,plain,
% 26.51/17.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 26.51/17.81 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21255,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21256,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21255, 21254])).
% 26.51/17.82 tff(21257,plain,
% 26.51/17.82 (~v104(constB168)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21256, 582, 21245, 21057])).
% 26.51/17.82 tff(21258,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21259,plain,
% 26.51/17.82 (((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21260,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21259])).
% 26.51/17.82 tff(21261,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21260, 21258])).
% 26.51/17.82 tff(21262,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21263,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | v102(constB168)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21262, 21261])).
% 26.51/17.82 tff(21264,plain,
% 26.51/17.82 (v104(constB168) | v102(constB168)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21263, 596, 21245])).
% 26.51/17.82 tff(21265,plain,
% 26.51/17.82 (v102(constB168)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21264, 21257])).
% 26.51/17.82 tff(21266,plain,
% 26.51/17.82 (v1(constB168) <=> v1(constB168)),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21267,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 26.51/17.82 tff(21268,plain,
% 26.51/17.82 (v1(constB168)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21267, 21266])).
% 26.51/17.82 tff(21269,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21270,plain,
% 26.51/17.82 (((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))) <=> ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21271,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21270])).
% 26.51/17.82 tff(21272,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168)))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21271, 21269])).
% 26.51/17.82 tff(21273,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21274,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | (~v1(constB168)) | v101(constB168) | (~v102(constB168))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21273, 21272])).
% 26.51/17.82 tff(21275,plain,
% 26.51/17.82 (v101(constB168) | (~v102(constB168))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21274, 617, 21245, 21268])).
% 26.51/17.82 tff(21276,plain,
% 26.51/17.82 (v101(constB168)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21275, 21265])).
% 26.51/17.82 tff(21277,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21278,plain,
% 26.51/17.82 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21279,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21278])).
% 26.51/17.82 tff(21280,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21279, 21277])).
% 26.51/17.82 tff(21281,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21282,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21281, 21280])).
% 26.51/17.82 tff(21283,plain,
% 26.51/17.82 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21282, 635, 21245])).
% 26.51/17.82 tff(21284,plain,
% 26.51/17.82 (v100(constB168) | (~v110(constB168))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21283, 21276])).
% 26.51/17.82 tff(21285,plain,
% 26.51/17.82 (v100(constB168)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21284, 21253])).
% 26.51/17.82 tff(21286,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21287,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21288,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 26.51/17.82 tff(21289,plain,
% 26.51/17.82 (~v130(constB167, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21288, 2160, 21212])).
% 26.51/17.82 tff(21290,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21291,plain,
% 26.51/17.82 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21292,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21291])).
% 26.51/17.82 tff(21293,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21292, 21290])).
% 26.51/17.82 tff(21294,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21295,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 26.51/17.82 tff(21296,plain,
% 26.51/17.82 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21295, 1153, 21227])).
% 26.51/17.82 tff(21297,plain,
% 26.51/17.82 (~v127(constB167, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21296, 21289])).
% 26.51/17.82 tff(21298,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21299,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21300,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 26.51/17.82 tff(21301,plain,
% 26.51/17.82 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21300, 1171, 21245])).
% 26.51/17.82 tff(21302,plain,
% 26.51/17.82 (~v129(constB168, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21301, 21297])).
% 26.51/17.82 tff(21303,plain,
% 26.51/17.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21304,plain,
% 26.51/17.82 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21305,plain,
% 26.51/17.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21304])).
% 26.51/17.82 tff(21306,plain,
% 26.51/17.82 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21305, 21303])).
% 26.51/17.82 tff(21307,plain,
% 26.51/17.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21308,plain,
% 26.51/17.82 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21307, 21306])).
% 26.51/17.82 tff(21309,plain,
% 26.51/17.82 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21308, 1186, 21302])).
% 26.51/17.82 tff(21310,plain,
% 26.51/17.82 (~v90(constB168, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21309, 21285])).
% 26.51/17.82 tff(21311,plain,
% 26.51/17.82 ((~v1(constB169)) <=> (~v1(constB169))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21312,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 26.51/17.82 tff(21313,plain,
% 26.51/17.82 (~v1(constB169)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21312, 21311])).
% 26.51/17.82 tff(21314,plain,
% 26.51/17.82 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21315,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 26.51/17.82 tff(21316,plain,
% 26.51/17.82 (nextState(constB168, constB169)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21315, 21314])).
% 26.51/17.82 tff(21317,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21318,plain,
% 26.51/17.82 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21319,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21318])).
% 26.51/17.82 tff(21320,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21319, 21317])).
% 26.51/17.82 tff(21321,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21322,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 26.51/17.82 tff(21323,plain,
% 26.51/17.82 (~v101(constB169)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21322, 342, 21316, 21313])).
% 26.51/17.82 tff(21324,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21325,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21326,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 26.51/17.82 tff(21327,plain,
% 26.51/17.82 (v101(constB169) | (~v100(constB169))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21326, 359, 21316])).
% 26.51/17.82 tff(21328,plain,
% 26.51/17.82 (~v100(constB169)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21327, 21323])).
% 26.51/17.82 tff(21329,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21330,plain,
% 26.51/17.82 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21331,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21330])).
% 26.51/17.82 tff(21332,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21331, 21329])).
% 26.51/17.82 tff(21333,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21334,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21333, 21332])).
% 26.51/17.82 tff(21335,plain,
% 26.51/17.82 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21334, 416, 21316])).
% 26.51/17.82 tff(21336,plain,
% 26.51/17.82 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21335, 21328])).
% 26.51/17.82 tff(21337,plain,
% 26.51/17.82 (~v90(constB169, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21336, 21310])).
% 26.51/17.82 tff(21338,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21339,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21340,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 26.51/17.82 tff(21341,plain,
% 26.51/17.82 (~v88(constB169, bitIndex0)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21340, 7950, 21337])).
% 26.51/17.82 tff(21342,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21343,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21344,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21343, 21342])).
% 26.51/17.82 tff(21345,plain,
% 26.51/17.82 (v130(constB167, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21344, 2066, 21212])).
% 26.51/17.82 tff(21346,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21347,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21348,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 26.51/17.82 tff(21349,plain,
% 26.51/17.82 ((~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21348, 1560, 21227])).
% 26.51/17.82 tff(21350,plain,
% 26.51/17.82 (v127(constB167, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21349, 21345])).
% 26.51/17.82 tff(21351,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21352,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21353,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21352, 21351])).
% 26.51/17.82 tff(21354,plain,
% 26.51/17.82 ((~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21353, 1575, 21245])).
% 26.51/17.82 tff(21355,plain,
% 26.51/17.82 (v129(constB168, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21354, 21350])).
% 26.51/17.82 tff(21356,plain,
% 26.51/17.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21357,plain,
% 26.51/17.82 ((v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21358,plain,
% 26.51/17.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21357])).
% 26.51/17.82 tff(21359,plain,
% 26.51/17.82 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21358, 21356])).
% 26.51/17.82 tff(21360,plain,
% 26.51/17.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21361,plain,
% 26.51/17.82 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 26.51/17.82 tff(21362,plain,
% 26.51/17.82 (v90(constB168, bitIndex2) | (~v100(constB168))),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21361, 1590, 21355])).
% 26.51/17.82 tff(21363,plain,
% 26.51/17.82 (v90(constB168, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21362, 21285])).
% 26.51/17.82 tff(21364,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21365,plain,
% 26.51/17.82 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21366,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)))),
% 26.51/17.82 inference(monotonicity,[status(thm)],[21365])).
% 26.51/17.82 tff(21367,plain,
% 26.51/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 26.51/17.82 inference(transitivity,[status(thm)],[21366, 21364])).
% 26.51/17.82 tff(21368,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21369,plain,
% 26.51/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21368, 21367])).
% 26.51/17.82 tff(21370,plain,
% 26.51/17.82 ((~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21369, 1626, 21316])).
% 26.51/17.82 tff(21371,plain,
% 26.51/17.82 ((~v90(constB168, bitIndex2)) | v90(constB169, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21370, 21328])).
% 26.51/17.82 tff(21372,plain,
% 26.51/17.82 (v90(constB169, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21371, 21363])).
% 26.51/17.82 tff(21373,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21374,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21375,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB169, bitIndex2)) | v88(constB169, bitIndex2)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 26.51/17.82 tff(21376,plain,
% 26.51/17.82 (v88(constB169, bitIndex2)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21375, 7992, 21372])).
% 26.51/17.82 tff(21377,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21378,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))),
% 26.51/17.82 inference(quant_inst,[status(thm)],[])).
% 26.51/17.82 tff(21379,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1)),
% 26.51/17.82 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 26.51/17.82 tff(21380,plain,
% 26.51/17.82 (v130(constB167, bitIndex1)),
% 26.51/17.82 inference(unit_resolution,[status(thm)],[21379, 2122, 21212])).
% 26.51/17.82 tff(21381,plain,
% 26.51/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 26.51/17.82 inference(rewrite,[status(thm)],[])).
% 26.51/17.82 tff(21382,plain,
% 26.51/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 26.51/17.83 inference(quant_inst,[status(thm)],[])).
% 26.51/17.83 tff(21383,plain,
% 26.51/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 26.51/17.83 inference(modus_ponens,[status(thm)],[21382, 21381])).
% 26.51/17.83 tff(21384,plain,
% 26.51/17.83 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21383, 1075, 21227])).
% 26.51/17.83 tff(21385,plain,
% 26.51/17.83 (v127(constB167, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21384, 21380])).
% 26.51/17.83 tff(21386,plain,
% 26.51/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 26.51/17.83 inference(rewrite,[status(thm)],[])).
% 26.51/17.83 tff(21387,plain,
% 26.51/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 26.51/17.83 inference(quant_inst,[status(thm)],[])).
% 26.51/17.83 tff(21388,plain,
% 26.51/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 26.51/17.83 inference(modus_ponens,[status(thm)],[21387, 21386])).
% 26.51/17.83 tff(21389,plain,
% 26.51/17.83 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21388, 1090, 21245])).
% 26.51/17.83 tff(21390,plain,
% 26.51/17.83 (v129(constB168, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21389, 21385])).
% 26.51/17.83 tff(21391,plain,
% 26.51/17.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 26.51/17.83 inference(rewrite,[status(thm)],[])).
% 26.51/17.83 tff(21392,plain,
% 26.51/17.83 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 26.51/17.83 inference(rewrite,[status(thm)],[])).
% 26.51/17.83 tff(21393,plain,
% 26.51/17.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 26.51/17.83 inference(monotonicity,[status(thm)],[21392])).
% 26.51/17.83 tff(21394,plain,
% 26.51/17.83 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 26.51/17.83 inference(transitivity,[status(thm)],[21393, 21391])).
% 26.51/17.83 tff(21395,plain,
% 26.51/17.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 26.51/17.83 inference(quant_inst,[status(thm)],[])).
% 26.51/17.83 tff(21396,plain,
% 26.51/17.83 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 26.51/17.83 inference(modus_ponens,[status(thm)],[21395, 21394])).
% 26.51/17.83 tff(21397,plain,
% 26.51/17.83 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21396, 1105, 21390])).
% 26.51/17.83 tff(21398,plain,
% 26.51/17.83 (v90(constB168, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21397, 21285])).
% 26.51/17.83 tff(21399,plain,
% 26.51/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 26.51/17.83 inference(rewrite,[status(thm)],[])).
% 26.51/17.83 tff(21400,plain,
% 26.51/17.83 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 26.51/17.83 inference(rewrite,[status(thm)],[])).
% 26.51/17.83 tff(21401,plain,
% 26.51/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 26.51/17.83 inference(monotonicity,[status(thm)],[21400])).
% 26.51/17.83 tff(21402,plain,
% 26.51/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 26.51/17.83 inference(transitivity,[status(thm)],[21401, 21399])).
% 26.51/17.83 tff(21403,plain,
% 26.51/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 26.51/17.83 inference(quant_inst,[status(thm)],[])).
% 26.51/17.83 tff(21404,plain,
% 26.51/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 26.51/17.83 inference(modus_ponens,[status(thm)],[21403, 21402])).
% 26.51/17.83 tff(21405,plain,
% 26.51/17.83 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21404, 1123, 21316])).
% 26.51/17.83 tff(21406,plain,
% 26.51/17.83 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21405, 21328])).
% 26.51/17.83 tff(21407,plain,
% 26.51/17.83 (v90(constB169, bitIndex1)),
% 26.51/17.83 inference(unit_resolution,[status(thm)],[21406, 21398])).
% 26.51/17.83 tff(21408,plain,
% 26.51/17.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 26.51/17.83 inference(rewrite,[status(thm)],[])).
% 26.51/17.83 tff(21409,plain,
% 26.51/17.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21410,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB169, bitIndex1)) | v88(constB169, bitIndex1)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21409, 21408])).
% 26.57/17.83 tff(21411,plain,
% 26.57/17.83 (v88(constB169, bitIndex1)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21410, 8034, 21407])).
% 26.57/17.83 tff(21412,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21413,plain,
% 26.57/17.83 (((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169)) <=> (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21414,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169)))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21413])).
% 26.57/17.83 tff(21415,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21414, 21412])).
% 26.57/17.83 tff(21416,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex0) | v144(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21417,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB169, bitIndex0) | (~v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex1)) | v144(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 26.57/17.83 tff(21418,plain,
% 26.57/17.83 (v144(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21417, 8048, 21411, 21376, 21341])).
% 26.57/17.83 tff(21419,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB169)) | v142(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21420,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21421,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB169)) | v142(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21420, 21419])).
% 26.57/17.83 tff(21422,plain,
% 26.57/17.83 (v142(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21421, 8062, 21418])).
% 26.57/17.83 tff(21423,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB169)) | v148(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB169)) | v148(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21424,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB169)) | v148(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21425,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB169)) | v148(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21424, 21423])).
% 26.57/17.83 tff(21426,plain,
% 26.57/17.83 (v148(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21425, 20023, 21422])).
% 26.57/17.83 tff(21427,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB169)) | v167(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB169)) | v167(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21428,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB169)) | v167(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21429,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB169)) | v167(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21428, 21427])).
% 26.57/17.83 tff(21430,plain,
% 26.57/17.83 (v167(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21429, 8073, 21422])).
% 26.57/17.83 tff(21431,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21432,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB169) | (~v167(constB169)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21433,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB169) | (~v167(constB169))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21432, 21431])).
% 26.57/17.83 tff(21434,plain,
% 26.57/17.83 (v166(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21433, 8098, 21430])).
% 26.57/17.83 tff(21435,plain,
% 26.57/17.83 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB169) | (~v166(constB169)) | (~v148(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21436,plain,
% 26.57/17.83 (((~v148(constB169)) | v86(constB169) | (~v166(constB169))) <=> (v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21437,plain,
% 26.57/17.83 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v166(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB169) | (~v166(constB169)) | (~v148(constB169))))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21436])).
% 26.57/17.83 tff(21438,plain,
% 26.57/17.83 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v166(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169)))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21437, 21435])).
% 26.57/17.83 tff(21439,plain,
% 26.57/17.83 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v166(constB169)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21440,plain,
% 26.57/17.83 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB169) | (~v166(constB169)) | (~v148(constB169))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 26.57/17.83 tff(21441,plain,
% 26.57/17.83 (v86(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21440, 20040, 21434, 21426])).
% 26.57/17.83 tff(21442,plain,
% 26.57/17.83 ($false),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21441, 20124])).
% 26.57/17.83 tff(21443,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.57/17.83 tff(21444,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 26.57/17.83 tff(21445,plain,
% 26.57/17.83 (v86(constB181) <=> v86(sK0_VarCurr)),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21444])).
% 26.57/17.83 tff(21446,plain,
% 26.57/17.83 (v86(sK0_VarCurr) <=> v86(constB181)),
% 26.57/17.83 inference(symmetry,[status(thm)],[21445])).
% 26.57/17.83 tff(21447,plain,
% 26.57/17.83 ((~v86(sK0_VarCurr)) <=> (~v86(constB181))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21446])).
% 26.57/17.83 tff(21448,plain,
% 26.57/17.83 (~v86(constB181)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[20015, 21447])).
% 26.57/17.83 tff(21449,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21450,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21451,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21450, 21449])).
% 26.57/17.83 tff(21452,plain,
% 26.57/17.83 (v125(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21451, 2204, 21337, 21407, 21372])).
% 26.57/17.83 tff(21453,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21454,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21455,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 26.57/17.83 tff(21456,plain,
% 26.57/17.83 (v113(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21455, 2215, 21452])).
% 26.57/17.83 tff(21457,assumption,(v26(constB169)), introduced(assumption)).
% 26.57/17.83 tff(21458,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21459,plain,
% 26.57/17.83 ($false),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21458, 120, 21457])).
% 26.57/17.83 tff(21460,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 26.57/17.83 tff(21461,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21462,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21463,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21462, 21461])).
% 26.57/17.83 tff(21464,plain,
% 26.57/17.83 ((~v113(constB169)) | v112(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21463, 532, 21460])).
% 26.57/17.83 tff(21465,plain,
% 26.57/17.83 (v112(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21464, 21456])).
% 26.57/17.83 tff(21466,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21467,plain,
% 26.57/17.83 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21468,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21467])).
% 26.57/17.83 tff(21469,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21468, 21466])).
% 26.57/17.83 tff(21470,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21471,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 26.57/17.83 tff(21472,plain,
% 26.57/17.83 (v108(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21471, 544, 21465])).
% 26.57/17.83 tff(21473,plain,
% 26.57/17.83 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21474,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 26.57/17.83 tff(21475,plain,
% 26.57/17.83 (nextState(constB169, constB170)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 26.57/17.83 tff(21476,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21477,plain,
% 26.57/17.83 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21478,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21477])).
% 26.57/17.83 tff(21479,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21478, 21476])).
% 26.57/17.83 tff(21480,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21481,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21480, 21479])).
% 26.57/17.83 tff(21482,plain,
% 26.57/17.83 (v110(constB170) | (~v108(constB169))),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21481, 564, 21475])).
% 26.57/17.83 tff(21483,plain,
% 26.57/17.83 (v110(constB170)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21482, 21472])).
% 26.57/17.83 tff(21484,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21485,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21486,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21485, 21484])).
% 26.57/17.83 tff(21487,plain,
% 26.57/17.83 (~v104(constB170)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21486, 582, 21475, 21313])).
% 26.57/17.83 tff(21488,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21489,plain,
% 26.57/17.83 (((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21490,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21489])).
% 26.57/17.83 tff(21491,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21490, 21488])).
% 26.57/17.83 tff(21492,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21493,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | v102(constB170)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 26.57/17.83 tff(21494,plain,
% 26.57/17.83 (v104(constB170) | v102(constB170)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21493, 596, 21475])).
% 26.57/17.83 tff(21495,plain,
% 26.57/17.83 (v102(constB170)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21494, 21487])).
% 26.57/17.83 tff(21496,plain,
% 26.57/17.83 (v1(constB170) <=> v1(constB170)),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21497,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 26.57/17.83 tff(21498,plain,
% 26.57/17.83 (v1(constB170)),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 26.57/17.83 tff(21499,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21500,plain,
% 26.57/17.83 (((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))) <=> ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21501,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21500])).
% 26.57/17.83 tff(21502,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170)))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21501, 21499])).
% 26.57/17.83 tff(21503,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21504,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | (~v1(constB170)) | v101(constB170) | (~v102(constB170))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 26.57/17.83 tff(21505,plain,
% 26.57/17.83 (v101(constB170) | (~v102(constB170))),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21504, 617, 21475, 21498])).
% 26.57/17.83 tff(21506,plain,
% 26.57/17.83 (v101(constB170)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21505, 21495])).
% 26.57/17.83 tff(21507,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21508,plain,
% 26.57/17.83 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21509,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 26.57/17.83 inference(monotonicity,[status(thm)],[21508])).
% 26.57/17.83 tff(21510,plain,
% 26.57/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 26.57/17.83 inference(transitivity,[status(thm)],[21509, 21507])).
% 26.57/17.83 tff(21511,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21512,plain,
% 26.57/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21511, 21510])).
% 26.57/17.83 tff(21513,plain,
% 26.57/17.83 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21512, 635, 21475])).
% 26.57/17.83 tff(21514,plain,
% 26.57/17.83 (v100(constB170) | (~v110(constB170))),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21513, 21506])).
% 26.57/17.83 tff(21515,plain,
% 26.57/17.83 (v100(constB170)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21514, 21483])).
% 26.57/17.83 tff(21516,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21517,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21518,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21517, 21516])).
% 26.57/17.83 tff(21519,plain,
% 26.57/17.83 (~v119(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21518, 2309, 21407])).
% 26.57/17.83 tff(21520,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v90(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v90(constB169, bitIndex2)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21521,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v90(constB169, bitIndex2)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21522,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v90(constB169, bitIndex2))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21521, 21520])).
% 26.57/17.83 tff(21523,plain,
% 26.57/17.83 (~v121(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21522, 2287, 21372])).
% 26.57/17.83 tff(21524,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21525,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.83 inference(quant_inst,[status(thm)],[])).
% 26.57/17.83 tff(21526,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB169)) | (~v90(constB169, bitIndex1))),
% 26.57/17.83 inference(modus_ponens,[status(thm)],[21525, 21524])).
% 26.57/17.83 tff(21527,plain,
% 26.57/17.83 (~v123(constB169)),
% 26.57/17.83 inference(unit_resolution,[status(thm)],[21526, 2331, 21407])).
% 26.57/17.83 tff(21528,plain,
% 26.57/17.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB169)) | (~v90(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB169)) | (~v90(constB169, bitIndex2)))),
% 26.57/17.83 inference(rewrite,[status(thm)],[])).
% 26.57/17.83 tff(21529,plain,
% 26.57/17.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB169)) | (~v90(constB169, bitIndex2)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21530,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB169)) | (~v90(constB169, bitIndex2))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21529, 21528])).
% 26.57/17.84 tff(21531,plain,
% 26.57/17.84 (~v122(constB169)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21530, 2298, 21372])).
% 26.57/17.84 tff(21532,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21533,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21534,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB169)) | (~v90(constB169, bitIndex1))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21533, 21532])).
% 26.57/17.84 tff(21535,plain,
% 26.57/17.84 (~v120(constB169)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21534, 2320, 21407])).
% 26.57/17.84 tff(21536,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21537,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB169)) | (~v90(constB169, bitIndex1)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21538,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB169)) | (~v90(constB169, bitIndex1))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 26.57/17.84 tff(21539,plain,
% 26.57/17.84 (~v124(constB169)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21538, 2342, 21407])).
% 26.57/17.84 tff(21540,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21541,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21542,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 26.57/17.84 tff(21543,plain,
% 26.57/17.84 (~v130(constB169, bitIndex2)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21542, 2356, 21539, 21535, 21531, 21527, 21523, 21519])).
% 26.57/17.84 tff(21544,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21545,plain,
% 26.57/17.84 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21546,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21545])).
% 26.57/17.84 tff(21547,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 26.57/17.84 inference(transitivity,[status(thm)],[21546, 21544])).
% 26.57/17.84 tff(21548,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21549,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21548, 21547])).
% 26.57/17.84 tff(21550,plain,
% 26.57/17.84 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21549, 665, 21460])).
% 26.57/17.84 tff(21551,plain,
% 26.57/17.84 (~v127(constB169, bitIndex2)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21550, 21543])).
% 26.57/17.84 tff(21552,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21553,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21554,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21553, 21552])).
% 26.57/17.84 tff(21555,plain,
% 26.57/17.84 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21554, 683, 21475])).
% 26.57/17.84 tff(21556,plain,
% 26.57/17.84 (~v129(constB170, bitIndex2)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21555, 21551])).
% 26.57/17.84 tff(21557,plain,
% 26.57/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21558,plain,
% 26.57/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21559,plain,
% 26.57/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 26.57/17.84 tff(21560,plain,
% 26.57/17.84 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21559, 698, 21556])).
% 26.57/17.84 tff(21561,plain,
% 26.57/17.84 (~v90(constB170, bitIndex2)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21560, 21515])).
% 26.57/17.84 tff(21562,plain,
% 26.57/17.84 ((~v1(constB171)) <=> (~v1(constB171))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21563,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 26.57/17.84 tff(21564,plain,
% 26.57/17.84 (~v1(constB171)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21563, 21562])).
% 26.57/17.84 tff(21565,plain,
% 26.57/17.84 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21566,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 26.57/17.84 tff(21567,plain,
% 26.57/17.84 (nextState(constB170, constB171)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21566, 21565])).
% 26.57/17.84 tff(21568,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21569,plain,
% 26.57/17.84 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21570,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21569])).
% 26.57/17.84 tff(21571,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 26.57/17.84 inference(transitivity,[status(thm)],[21570, 21568])).
% 26.57/17.84 tff(21572,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21573,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21572, 21571])).
% 26.57/17.84 tff(21574,plain,
% 26.57/17.84 (~v101(constB171)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21573, 342, 21567, 21564])).
% 26.57/17.84 tff(21575,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21576,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21577,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21576, 21575])).
% 26.57/17.84 tff(21578,plain,
% 26.57/17.84 (v101(constB171) | (~v100(constB171))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21577, 359, 21567])).
% 26.57/17.84 tff(21579,plain,
% 26.57/17.84 (~v100(constB171)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21578, 21574])).
% 26.57/17.84 tff(21580,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21581,plain,
% 26.57/17.84 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21582,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21581])).
% 26.57/17.84 tff(21583,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 26.57/17.84 inference(transitivity,[status(thm)],[21582, 21580])).
% 26.57/17.84 tff(21584,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21585,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 26.57/17.84 tff(21586,plain,
% 26.57/17.84 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21585, 374, 21567])).
% 26.57/17.84 tff(21587,plain,
% 26.57/17.84 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21586, 21579])).
% 26.57/17.84 tff(21588,plain,
% 26.57/17.84 (~v90(constB171, bitIndex2)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21587, 21561])).
% 26.57/17.84 tff(21589,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21590,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21591,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21590, 21589])).
% 26.57/17.84 tff(21592,plain,
% 26.57/17.84 (~v130(constB169, bitIndex1)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21591, 2415, 21539, 21535, 21531, 21527, 21523, 21519])).
% 26.57/17.84 tff(21593,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21594,plain,
% 26.57/17.84 ((v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1))) <=> ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21595,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21594])).
% 26.57/17.84 tff(21596,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 26.57/17.84 inference(transitivity,[status(thm)],[21595, 21593])).
% 26.57/17.84 tff(21597,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21598,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21597, 21596])).
% 26.57/17.84 tff(21599,plain,
% 26.57/17.84 ((~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21598, 751, 21460])).
% 26.57/17.84 tff(21600,plain,
% 26.57/17.84 (~v127(constB169, bitIndex1)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21599, 21592])).
% 26.57/17.84 tff(21601,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21602,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21603,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 26.57/17.84 tff(21604,plain,
% 26.57/17.84 (v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21603, 769, 21475])).
% 26.57/17.84 tff(21605,plain,
% 26.57/17.84 (~v129(constB170, bitIndex1)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21604, 21600])).
% 26.57/17.84 tff(21606,plain,
% 26.57/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21607,plain,
% 26.57/17.84 (((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21608,plain,
% 26.57/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21607])).
% 26.57/17.84 tff(21609,plain,
% 26.57/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 26.57/17.84 inference(transitivity,[status(thm)],[21608, 21606])).
% 26.57/17.84 tff(21610,plain,
% 26.57/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21611,plain,
% 26.57/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 26.57/17.84 tff(21612,plain,
% 26.57/17.84 ((~v90(constB170, bitIndex1)) | (~v100(constB170))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21611, 784, 21605])).
% 26.57/17.84 tff(21613,plain,
% 26.57/17.84 (~v90(constB170, bitIndex1)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21612, 21515])).
% 26.57/17.84 tff(21614,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21615,plain,
% 26.57/17.84 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21616,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21615])).
% 26.57/17.84 tff(21617,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 26.57/17.84 inference(transitivity,[status(thm)],[21616, 21614])).
% 26.57/17.84 tff(21618,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21619,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21618, 21617])).
% 26.57/17.84 tff(21620,plain,
% 26.57/17.84 (v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21619, 395, 21567])).
% 26.57/17.84 tff(21621,plain,
% 26.57/17.84 (v90(constB170, bitIndex1) | (~v90(constB171, bitIndex1))),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21620, 21579])).
% 26.57/17.84 tff(21622,plain,
% 26.57/17.84 (~v90(constB171, bitIndex1)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21621, 21613])).
% 26.57/17.84 tff(21623,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21624,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21625,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 26.57/17.84 tff(21626,plain,
% 26.57/17.84 (v130(constB169, bitIndex0)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21625, 2459, 21539, 21535, 21531, 21527, 21523, 21519])).
% 26.57/17.84 tff(21627,plain,
% 26.57/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21628,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21629,plain,
% 26.57/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 26.57/17.84 tff(21630,plain,
% 26.57/17.84 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21629, 822, 21460])).
% 26.57/17.84 tff(21631,plain,
% 26.57/17.84 (v127(constB169, bitIndex0)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21630, 21626])).
% 26.57/17.84 tff(21632,plain,
% 26.57/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21633,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 26.57/17.84 inference(quant_inst,[status(thm)],[])).
% 26.57/17.84 tff(21634,plain,
% 26.57/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 26.57/17.84 inference(modus_ponens,[status(thm)],[21633, 21632])).
% 26.57/17.84 tff(21635,plain,
% 26.57/17.84 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21634, 837, 21475])).
% 26.57/17.84 tff(21636,plain,
% 26.57/17.84 (v129(constB170, bitIndex0)),
% 26.57/17.84 inference(unit_resolution,[status(thm)],[21635, 21631])).
% 26.57/17.84 tff(21637,plain,
% 26.57/17.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21638,plain,
% 26.57/17.84 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 26.57/17.84 inference(rewrite,[status(thm)],[])).
% 26.57/17.84 tff(21639,plain,
% 26.57/17.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 26.57/17.84 inference(monotonicity,[status(thm)],[21638])).
% 26.57/17.84 tff(21640,plain,
% 26.57/17.84 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21639, 21637])).
% 26.57/17.85 tff(21641,plain,
% 26.57/17.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21642,plain,
% 26.57/17.85 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21641, 21640])).
% 26.57/17.85 tff(21643,plain,
% 26.57/17.85 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21642, 852, 21636])).
% 26.57/17.85 tff(21644,plain,
% 26.57/17.85 (v90(constB170, bitIndex0)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21643, 21515])).
% 26.57/17.85 tff(21645,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21646,plain,
% 26.57/17.85 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21647,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21646])).
% 26.57/17.85 tff(21648,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21647, 21645])).
% 26.57/17.85 tff(21649,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21650,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 26.57/17.85 tff(21651,plain,
% 26.57/17.85 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21650, 870, 21567])).
% 26.57/17.85 tff(21652,plain,
% 26.57/17.85 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21651, 21579])).
% 26.57/17.85 tff(21653,plain,
% 26.57/17.85 (v90(constB171, bitIndex0)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21652, 21644])).
% 26.57/17.85 tff(21654,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21655,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21656,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21655, 21654])).
% 26.57/17.85 tff(21657,plain,
% 26.57/17.85 (v120(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21656, 889, 21653, 21622, 21588])).
% 26.57/17.85 tff(21658,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB171)) | v118(constB171))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21659,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21660,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB171)) | v118(constB171)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21659, 21658])).
% 26.57/17.85 tff(21661,plain,
% 26.57/17.85 (v118(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21660, 900, 21657])).
% 26.57/17.85 tff(21662,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21663,plain,
% 26.57/17.85 (((~v118(constB171)) | v117(constB171)) <=> (v117(constB171) | (~v118(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21664,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21663])).
% 26.57/17.85 tff(21665,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21664, 21662])).
% 26.57/17.85 tff(21666,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21667,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21666, 21665])).
% 26.57/17.85 tff(21668,plain,
% 26.57/17.85 (v117(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21667, 462, 21661])).
% 26.57/17.85 tff(21669,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21670,plain,
% 26.57/17.85 (((~v117(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v117(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21671,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21670])).
% 26.57/17.85 tff(21672,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21671, 21669])).
% 26.57/17.85 tff(21673,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21674,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21673, 21672])).
% 26.57/17.85 tff(21675,plain,
% 26.57/17.85 (v116(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21674, 476, 21668])).
% 26.57/17.85 tff(21676,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21677,plain,
% 26.57/17.85 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21678,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21677])).
% 26.57/17.85 tff(21679,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21678, 21676])).
% 26.57/17.85 tff(21680,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21681,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 26.57/17.85 tff(21682,plain,
% 26.57/17.85 (v115(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21681, 490, 21675])).
% 26.57/17.85 tff(21683,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21684,plain,
% 26.57/17.85 (((~v115(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v115(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21685,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21684])).
% 26.57/17.85 tff(21686,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21685, 21683])).
% 26.57/17.85 tff(21687,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21688,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 26.57/17.85 tff(21689,plain,
% 26.57/17.85 (v114(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21688, 504, 21682])).
% 26.57/17.85 tff(21690,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB171)) | v113(constB171))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21691,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21692,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB171)) | v113(constB171)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21691, 21690])).
% 26.57/17.85 tff(21693,plain,
% 26.57/17.85 (v113(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21692, 518, 21689])).
% 26.57/17.85 tff(21694,assumption,(v26(constB171)), introduced(assumption)).
% 26.57/17.85 tff(21695,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21696,plain,
% 26.57/17.85 ($false),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21695, 120, 21694])).
% 26.57/17.85 tff(21697,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 26.57/17.85 tff(21698,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21699,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21700,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | (~v113(constB171)) | v112(constB171)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21699, 21698])).
% 26.57/17.85 tff(21701,plain,
% 26.57/17.85 ((~v113(constB171)) | v112(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21700, 532, 21697])).
% 26.57/17.85 tff(21702,plain,
% 26.57/17.85 (v112(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21701, 21693])).
% 26.57/17.85 tff(21703,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21704,plain,
% 26.57/17.85 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21705,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21704])).
% 26.57/17.85 tff(21706,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21705, 21703])).
% 26.57/17.85 tff(21707,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21708,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21707, 21706])).
% 26.57/17.85 tff(21709,plain,
% 26.57/17.85 (v108(constB171)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21708, 544, 21702])).
% 26.57/17.85 tff(21710,plain,
% 26.57/17.85 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21711,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 26.57/17.85 tff(21712,plain,
% 26.57/17.85 (nextState(constB171, constB172)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21711, 21710])).
% 26.57/17.85 tff(21713,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21714,plain,
% 26.57/17.85 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21715,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21714])).
% 26.57/17.85 tff(21716,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21715, 21713])).
% 26.57/17.85 tff(21717,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21718,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21717, 21716])).
% 26.57/17.85 tff(21719,plain,
% 26.57/17.85 (v110(constB172) | (~v108(constB171))),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21718, 564, 21712])).
% 26.57/17.85 tff(21720,plain,
% 26.57/17.85 (v110(constB172)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21719, 21709])).
% 26.57/17.85 tff(21721,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21722,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21723,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21722, 21721])).
% 26.57/17.85 tff(21724,plain,
% 26.57/17.85 (~v104(constB172)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21723, 582, 21712, 21564])).
% 26.57/17.85 tff(21725,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21726,plain,
% 26.57/17.85 (((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21727,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21726])).
% 26.57/17.85 tff(21728,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21727, 21725])).
% 26.57/17.85 tff(21729,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21730,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | v102(constB172)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 26.57/17.85 tff(21731,plain,
% 26.57/17.85 (v104(constB172) | v102(constB172)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21730, 596, 21712])).
% 26.57/17.85 tff(21732,plain,
% 26.57/17.85 (v102(constB172)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21731, 21724])).
% 26.57/17.85 tff(21733,plain,
% 26.57/17.85 (v1(constB172) <=> v1(constB172)),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21734,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 26.57/17.85 tff(21735,plain,
% 26.57/17.85 (v1(constB172)),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 26.57/17.85 tff(21736,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21737,plain,
% 26.57/17.85 (((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))) <=> ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21738,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21737])).
% 26.57/17.85 tff(21739,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21738, 21736])).
% 26.57/17.85 tff(21740,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21741,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | (~v1(constB172)) | v101(constB172) | (~v102(constB172))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 26.57/17.85 tff(21742,plain,
% 26.57/17.85 (v101(constB172) | (~v102(constB172))),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21741, 617, 21712, 21735])).
% 26.57/17.85 tff(21743,plain,
% 26.57/17.85 (v101(constB172)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21742, 21732])).
% 26.57/17.85 tff(21744,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21745,plain,
% 26.57/17.85 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21746,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 26.57/17.85 inference(monotonicity,[status(thm)],[21745])).
% 26.57/17.85 tff(21747,plain,
% 26.57/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 26.57/17.85 inference(transitivity,[status(thm)],[21746, 21744])).
% 26.57/17.85 tff(21748,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21749,plain,
% 26.57/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 26.57/17.85 tff(21750,plain,
% 26.57/17.85 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21749, 635, 21712])).
% 26.57/17.85 tff(21751,plain,
% 26.57/17.85 (v100(constB172) | (~v110(constB172))),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21750, 21743])).
% 26.57/17.85 tff(21752,plain,
% 26.57/17.85 (v100(constB172)),
% 26.57/17.85 inference(unit_resolution,[status(thm)],[21751, 21720])).
% 26.57/17.85 tff(21753,plain,
% 26.57/17.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 26.57/17.85 inference(rewrite,[status(thm)],[])).
% 26.57/17.85 tff(21754,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 26.57/17.85 inference(quant_inst,[status(thm)],[])).
% 26.57/17.85 tff(21755,plain,
% 26.57/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2))),
% 26.57/17.85 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 26.57/17.85 tff(21756,plain,
% 26.59/17.85 (~v130(constB171, bitIndex2)),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21755, 1005, 21657])).
% 26.59/17.85 tff(21757,plain,
% 26.59/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21758,plain,
% 26.59/17.85 ((v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2))) <=> ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21759,plain,
% 26.59/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)))),
% 26.59/17.85 inference(monotonicity,[status(thm)],[21758])).
% 26.59/17.85 tff(21760,plain,
% 26.59/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 26.59/17.85 inference(transitivity,[status(thm)],[21759, 21757])).
% 26.59/17.85 tff(21761,plain,
% 26.59/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))),
% 26.59/17.85 inference(quant_inst,[status(thm)],[])).
% 26.59/17.85 tff(21762,plain,
% 26.59/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)),
% 26.59/17.85 inference(modus_ponens,[status(thm)],[21761, 21760])).
% 26.59/17.85 tff(21763,plain,
% 26.59/17.85 ((~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21762, 665, 21697])).
% 26.59/17.85 tff(21764,plain,
% 26.59/17.85 (~v127(constB171, bitIndex2)),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21763, 21756])).
% 26.59/17.85 tff(21765,plain,
% 26.59/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21766,plain,
% 26.59/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 26.59/17.85 inference(quant_inst,[status(thm)],[])).
% 26.59/17.85 tff(21767,plain,
% 26.59/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 26.59/17.85 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 26.59/17.85 tff(21768,plain,
% 26.59/17.85 (v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21767, 683, 21712])).
% 26.59/17.85 tff(21769,plain,
% 26.59/17.85 (~v129(constB172, bitIndex2)),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21768, 21764])).
% 26.59/17.85 tff(21770,plain,
% 26.59/17.85 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21771,plain,
% 26.59/17.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 26.59/17.85 inference(quant_inst,[status(thm)],[])).
% 26.59/17.85 tff(21772,plain,
% 26.59/17.85 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))),
% 26.59/17.85 inference(modus_ponens,[status(thm)],[21771, 21770])).
% 26.59/17.85 tff(21773,plain,
% 26.59/17.85 ((~v90(constB172, bitIndex2)) | (~v100(constB172))),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21772, 698, 21769])).
% 26.59/17.85 tff(21774,plain,
% 26.59/17.85 (~v90(constB172, bitIndex2)),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21773, 21752])).
% 26.59/17.85 tff(21775,plain,
% 26.59/17.85 ((~v1(constB173)) <=> (~v1(constB173))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21776,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 26.59/17.85 tff(21777,plain,
% 26.59/17.85 (~v1(constB173)),
% 26.59/17.85 inference(modus_ponens,[status(thm)],[21776, 21775])).
% 26.59/17.85 tff(21778,plain,
% 26.59/17.85 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21779,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 26.59/17.85 tff(21780,plain,
% 26.59/17.85 (nextState(constB172, constB173)),
% 26.59/17.85 inference(modus_ponens,[status(thm)],[21779, 21778])).
% 26.59/17.85 tff(21781,plain,
% 26.59/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21782,plain,
% 26.59/17.85 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 26.59/17.85 inference(rewrite,[status(thm)],[])).
% 26.59/17.85 tff(21783,plain,
% 26.59/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 26.59/17.85 inference(monotonicity,[status(thm)],[21782])).
% 26.59/17.85 tff(21784,plain,
% 26.59/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 26.59/17.85 inference(transitivity,[status(thm)],[21783, 21781])).
% 26.59/17.85 tff(21785,plain,
% 26.59/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 26.59/17.85 inference(quant_inst,[status(thm)],[])).
% 26.59/17.85 tff(21786,plain,
% 26.59/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 26.59/17.85 inference(modus_ponens,[status(thm)],[21785, 21784])).
% 26.59/17.85 tff(21787,plain,
% 26.59/17.85 (~v101(constB173)),
% 26.59/17.85 inference(unit_resolution,[status(thm)],[21786, 342, 21780, 21777])).
% 26.59/17.85 tff(21788,plain,
% 26.59/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21789,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21790,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 26.59/17.86 tff(21791,plain,
% 26.59/17.86 (v101(constB173) | (~v100(constB173))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21790, 359, 21780])).
% 26.59/17.86 tff(21792,plain,
% 26.59/17.86 (~v100(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21791, 21787])).
% 26.59/17.86 tff(21793,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21794,plain,
% 26.59/17.86 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21795,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21794])).
% 26.59/17.86 tff(21796,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21795, 21793])).
% 26.59/17.86 tff(21797,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21798,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21797, 21796])).
% 26.59/17.86 tff(21799,plain,
% 26.59/17.86 (v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21798, 374, 21780])).
% 26.59/17.86 tff(21800,plain,
% 26.59/17.86 (v90(constB172, bitIndex2) | (~v90(constB173, bitIndex2))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21799, 21792])).
% 26.59/17.86 tff(21801,plain,
% 26.59/17.86 (~v90(constB173, bitIndex2)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21800, 21774])).
% 26.59/17.86 tff(21802,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21803,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21804,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 26.59/17.86 tff(21805,plain,
% 26.59/17.86 (v130(constB171, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21804, 1061, 21657])).
% 26.59/17.86 tff(21806,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21807,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21808,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21807, 21806])).
% 26.59/17.86 tff(21809,plain,
% 26.59/17.86 ((~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21808, 1075, 21697])).
% 26.59/17.86 tff(21810,plain,
% 26.59/17.86 (v127(constB171, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21809, 21805])).
% 26.59/17.86 tff(21811,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21812,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21813,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21812, 21811])).
% 26.59/17.86 tff(21814,plain,
% 26.59/17.86 ((~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21813, 1090, 21712])).
% 26.59/17.86 tff(21815,plain,
% 26.59/17.86 (v129(constB172, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21814, 21810])).
% 26.59/17.86 tff(21816,plain,
% 26.59/17.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21817,plain,
% 26.59/17.86 ((v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21818,plain,
% 26.59/17.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21817])).
% 26.59/17.86 tff(21819,plain,
% 26.59/17.86 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21818, 21816])).
% 26.59/17.86 tff(21820,plain,
% 26.59/17.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21821,plain,
% 26.59/17.86 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21820, 21819])).
% 26.59/17.86 tff(21822,plain,
% 26.59/17.86 (v90(constB172, bitIndex1) | (~v100(constB172))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21821, 1105, 21815])).
% 26.59/17.86 tff(21823,plain,
% 26.59/17.86 (v90(constB172, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21822, 21752])).
% 26.59/17.86 tff(21824,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21825,plain,
% 26.59/17.86 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21826,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21825])).
% 26.59/17.86 tff(21827,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21826, 21824])).
% 26.59/17.86 tff(21828,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21829,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21828, 21827])).
% 26.59/17.86 tff(21830,plain,
% 26.59/17.86 ((~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21829, 1123, 21780])).
% 26.59/17.86 tff(21831,plain,
% 26.59/17.86 ((~v90(constB172, bitIndex1)) | v90(constB173, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21830, 21792])).
% 26.59/17.86 tff(21832,plain,
% 26.59/17.86 (v90(constB173, bitIndex1)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21831, 21823])).
% 26.59/17.86 tff(21833,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21834,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21835,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21834, 21833])).
% 26.59/17.86 tff(21836,plain,
% 26.59/17.86 (~v130(constB171, bitIndex0)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21835, 1139, 21657])).
% 26.59/17.86 tff(21837,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21838,plain,
% 26.59/17.86 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21839,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21838])).
% 26.59/17.86 tff(21840,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21839, 21837])).
% 26.59/17.86 tff(21841,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21842,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21841, 21840])).
% 26.59/17.86 tff(21843,plain,
% 26.59/17.86 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21842, 1153, 21697])).
% 26.59/17.86 tff(21844,plain,
% 26.59/17.86 (~v127(constB171, bitIndex0)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21843, 21836])).
% 26.59/17.86 tff(21845,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21846,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21847,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21846, 21845])).
% 26.59/17.86 tff(21848,plain,
% 26.59/17.86 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21847, 1171, 21712])).
% 26.59/17.86 tff(21849,plain,
% 26.59/17.86 (~v129(constB172, bitIndex0)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21848, 21844])).
% 26.59/17.86 tff(21850,plain,
% 26.59/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21851,plain,
% 26.59/17.86 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21852,plain,
% 26.59/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21851])).
% 26.59/17.86 tff(21853,plain,
% 26.59/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21852, 21850])).
% 26.59/17.86 tff(21854,plain,
% 26.59/17.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21855,plain,
% 26.59/17.86 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 26.59/17.86 tff(21856,plain,
% 26.59/17.86 ((~v90(constB172, bitIndex0)) | (~v100(constB172))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21855, 1186, 21849])).
% 26.59/17.86 tff(21857,plain,
% 26.59/17.86 (~v90(constB172, bitIndex0)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21856, 21752])).
% 26.59/17.86 tff(21858,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21859,plain,
% 26.59/17.86 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21860,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21859])).
% 26.59/17.86 tff(21861,plain,
% 26.59/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21860, 21858])).
% 26.59/17.86 tff(21862,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21863,plain,
% 26.59/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21862, 21861])).
% 26.59/17.86 tff(21864,plain,
% 26.59/17.86 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21863, 416, 21780])).
% 26.59/17.86 tff(21865,plain,
% 26.59/17.86 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21864, 21792])).
% 26.59/17.86 tff(21866,plain,
% 26.59/17.86 (~v90(constB173, bitIndex0)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21865, 21857])).
% 26.59/17.86 tff(21867,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21868,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21869,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21868, 21867])).
% 26.59/17.86 tff(21870,plain,
% 26.59/17.86 (v121(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21869, 1213, 21866, 21832, 21801])).
% 26.59/17.86 tff(21871,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21872,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21873,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21872, 21871])).
% 26.59/17.86 tff(21874,plain,
% 26.59/17.86 (v117(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21873, 1224, 21870])).
% 26.59/17.86 tff(21875,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21876,plain,
% 26.59/17.86 (((~v117(constB173)) | v116(constB173)) <=> (v116(constB173) | (~v117(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21877,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21876])).
% 26.59/17.86 tff(21878,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21877, 21875])).
% 26.59/17.86 tff(21879,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21880,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21879, 21878])).
% 26.59/17.86 tff(21881,plain,
% 26.59/17.86 (v116(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21880, 476, 21874])).
% 26.59/17.86 tff(21882,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21883,plain,
% 26.59/17.86 (((~v116(constB173)) | v115(constB173)) <=> (v115(constB173) | (~v116(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21884,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21883])).
% 26.59/17.86 tff(21885,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21884, 21882])).
% 26.59/17.86 tff(21886,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21887,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 26.59/17.86 tff(21888,plain,
% 26.59/17.86 (v115(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21887, 490, 21881])).
% 26.59/17.86 tff(21889,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21890,plain,
% 26.59/17.86 (((~v115(constB173)) | v114(constB173)) <=> (v114(constB173) | (~v115(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21891,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21890])).
% 26.59/17.86 tff(21892,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21891, 21889])).
% 26.59/17.86 tff(21893,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21894,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 26.59/17.86 tff(21895,plain,
% 26.59/17.86 (v114(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21894, 504, 21888])).
% 26.59/17.86 tff(21896,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21897,plain,
% 26.59/17.86 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21898,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21897])).
% 26.59/17.86 tff(21899,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21898, 21896])).
% 26.59/17.86 tff(21900,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21901,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21900, 21899])).
% 26.59/17.86 tff(21902,plain,
% 26.59/17.86 (v113(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21901, 518, 21895])).
% 26.59/17.86 tff(21903,assumption,(v26(constB173)), introduced(assumption)).
% 26.59/17.86 tff(21904,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21905,plain,
% 26.59/17.86 ($false),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21904, 120, 21903])).
% 26.59/17.86 tff(21906,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.86 tff(21907,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21908,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21909,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21908, 21907])).
% 26.59/17.86 tff(21910,plain,
% 26.59/17.86 ((~v113(constB173)) | v112(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21909, 532, 21906])).
% 26.59/17.86 tff(21911,plain,
% 26.59/17.86 (v112(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21910, 21902])).
% 26.59/17.86 tff(21912,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21913,plain,
% 26.59/17.86 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21914,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 26.59/17.86 inference(monotonicity,[status(thm)],[21913])).
% 26.59/17.86 tff(21915,plain,
% 26.59/17.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 26.59/17.86 inference(transitivity,[status(thm)],[21914, 21912])).
% 26.59/17.86 tff(21916,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 26.59/17.86 inference(quant_inst,[status(thm)],[])).
% 26.59/17.86 tff(21917,plain,
% 26.59/17.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 26.59/17.86 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 26.59/17.86 tff(21918,plain,
% 26.59/17.86 (v108(constB173)),
% 26.59/17.86 inference(unit_resolution,[status(thm)],[21917, 544, 21911])).
% 26.59/17.86 tff(21919,plain,
% 26.59/17.86 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 26.59/17.86 inference(rewrite,[status(thm)],[])).
% 26.59/17.86 tff(21920,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 26.59/17.87 tff(21921,plain,
% 26.59/17.87 (nextState(constB173, constB174)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21920, 21919])).
% 26.59/17.87 tff(21922,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21923,plain,
% 26.59/17.87 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21924,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[21923])).
% 26.59/17.87 tff(21925,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 26.59/17.87 inference(transitivity,[status(thm)],[21924, 21922])).
% 26.59/17.87 tff(21926,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21927,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21926, 21925])).
% 26.59/17.87 tff(21928,plain,
% 26.59/17.87 (v110(constB174) | (~v108(constB173))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21927, 564, 21921])).
% 26.59/17.87 tff(21929,plain,
% 26.59/17.87 (v110(constB174)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21928, 21918])).
% 26.59/17.87 tff(21930,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21931,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21932,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21931, 21930])).
% 26.59/17.87 tff(21933,plain,
% 26.59/17.87 (~v104(constB174)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21932, 582, 21921, 21777])).
% 26.59/17.87 tff(21934,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21935,plain,
% 26.59/17.87 (((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21936,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[21935])).
% 26.59/17.87 tff(21937,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174))),
% 26.59/17.87 inference(transitivity,[status(thm)],[21936, 21934])).
% 26.59/17.87 tff(21938,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21939,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | v102(constB174)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21938, 21937])).
% 26.59/17.87 tff(21940,plain,
% 26.59/17.87 (v104(constB174) | v102(constB174)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21939, 596, 21921])).
% 26.59/17.87 tff(21941,plain,
% 26.59/17.87 (v102(constB174)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21940, 21933])).
% 26.59/17.87 tff(21942,plain,
% 26.59/17.87 (v1(constB174) <=> v1(constB174)),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21943,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 26.59/17.87 tff(21944,plain,
% 26.59/17.87 (v1(constB174)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21943, 21942])).
% 26.59/17.87 tff(21945,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21946,plain,
% 26.59/17.87 (((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))) <=> ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21947,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[21946])).
% 26.59/17.87 tff(21948,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174)))),
% 26.59/17.87 inference(transitivity,[status(thm)],[21947, 21945])).
% 26.59/17.87 tff(21949,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21950,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | (~v1(constB174)) | v101(constB174) | (~v102(constB174))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 26.59/17.87 tff(21951,plain,
% 26.59/17.87 (v101(constB174) | (~v102(constB174))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21950, 617, 21921, 21944])).
% 26.59/17.87 tff(21952,plain,
% 26.59/17.87 (v101(constB174)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21951, 21941])).
% 26.59/17.87 tff(21953,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21954,plain,
% 26.59/17.87 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21955,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[21954])).
% 26.59/17.87 tff(21956,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 26.59/17.87 inference(transitivity,[status(thm)],[21955, 21953])).
% 26.59/17.87 tff(21957,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21958,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21957, 21956])).
% 26.59/17.87 tff(21959,plain,
% 26.59/17.87 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21958, 635, 21921])).
% 26.59/17.87 tff(21960,plain,
% 26.59/17.87 (v100(constB174) | (~v110(constB174))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21959, 21952])).
% 26.59/17.87 tff(21961,plain,
% 26.59/17.87 (v100(constB174)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21960, 21929])).
% 26.59/17.87 tff(21962,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21963,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21964,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21963, 21962])).
% 26.59/17.87 tff(21965,plain,
% 26.59/17.87 (~v130(constB173, bitIndex2)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21964, 1325, 21870])).
% 26.59/17.87 tff(21966,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21967,plain,
% 26.59/17.87 ((v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2))) <=> ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21968,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[21967])).
% 26.59/17.87 tff(21969,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 26.59/17.87 inference(transitivity,[status(thm)],[21968, 21966])).
% 26.59/17.87 tff(21970,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21971,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 26.59/17.87 tff(21972,plain,
% 26.59/17.87 ((~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21971, 665, 21906])).
% 26.59/17.87 tff(21973,plain,
% 26.59/17.87 (~v127(constB173, bitIndex2)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21972, 21965])).
% 26.59/17.87 tff(21974,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21975,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21976,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21975, 21974])).
% 26.59/17.87 tff(21977,plain,
% 26.59/17.87 (v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21976, 683, 21921])).
% 26.59/17.87 tff(21978,plain,
% 26.59/17.87 (~v129(constB174, bitIndex2)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21977, 21973])).
% 26.59/17.87 tff(21979,plain,
% 26.59/17.87 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21980,plain,
% 26.59/17.87 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21981,plain,
% 26.59/17.87 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21980, 21979])).
% 26.59/17.87 tff(21982,plain,
% 26.59/17.87 ((~v90(constB174, bitIndex2)) | (~v100(constB174))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21981, 698, 21978])).
% 26.59/17.87 tff(21983,plain,
% 26.59/17.87 (~v90(constB174, bitIndex2)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21982, 21961])).
% 26.59/17.87 tff(21984,plain,
% 26.59/17.87 ((~v1(constB175)) <=> (~v1(constB175))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21985,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 26.59/17.87 tff(21986,plain,
% 26.59/17.87 (~v1(constB175)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21985, 21984])).
% 26.59/17.87 tff(21987,plain,
% 26.59/17.87 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21988,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 26.59/17.87 tff(21989,plain,
% 26.59/17.87 (nextState(constB174, constB175)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21988, 21987])).
% 26.59/17.87 tff(21990,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21991,plain,
% 26.59/17.87 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21992,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[21991])).
% 26.59/17.87 tff(21993,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 26.59/17.87 inference(transitivity,[status(thm)],[21992, 21990])).
% 26.59/17.87 tff(21994,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21995,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 26.59/17.87 tff(21996,plain,
% 26.59/17.87 (~v101(constB175)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21995, 342, 21989, 21986])).
% 26.59/17.87 tff(21997,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(21998,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(21999,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 26.59/17.87 tff(22000,plain,
% 26.59/17.87 (v101(constB175) | (~v100(constB175))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[21999, 359, 21989])).
% 26.59/17.87 tff(22001,plain,
% 26.59/17.87 (~v100(constB175)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22000, 21996])).
% 26.59/17.87 tff(22002,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22003,plain,
% 26.59/17.87 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22004,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[22003])).
% 26.59/17.87 tff(22005,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 26.59/17.87 inference(transitivity,[status(thm)],[22004, 22002])).
% 26.59/17.87 tff(22006,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(22007,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[22006, 22005])).
% 26.59/17.87 tff(22008,plain,
% 26.59/17.87 (v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22007, 374, 21989])).
% 26.59/17.87 tff(22009,plain,
% 26.59/17.87 (v90(constB174, bitIndex2) | (~v90(constB175, bitIndex2))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22008, 22001])).
% 26.59/17.87 tff(22010,plain,
% 26.59/17.87 (~v90(constB175, bitIndex2)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22009, 21983])).
% 26.59/17.87 tff(22011,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22012,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(22013,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 26.59/17.87 tff(22014,plain,
% 26.59/17.87 (v130(constB173, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22013, 1375, 21870])).
% 26.59/17.87 tff(22015,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22016,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(22017,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 26.59/17.87 tff(22018,plain,
% 26.59/17.87 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22017, 1075, 21906])).
% 26.59/17.87 tff(22019,plain,
% 26.59/17.87 (v127(constB173, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22018, 22014])).
% 26.59/17.87 tff(22020,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22021,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(22022,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 26.59/17.87 tff(22023,plain,
% 26.59/17.87 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22022, 1090, 21921])).
% 26.59/17.87 tff(22024,plain,
% 26.59/17.87 (v129(constB174, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22023, 22019])).
% 26.59/17.87 tff(22025,plain,
% 26.59/17.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22026,plain,
% 26.59/17.87 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22027,plain,
% 26.59/17.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[22026])).
% 26.59/17.87 tff(22028,plain,
% 26.59/17.87 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 26.59/17.87 inference(transitivity,[status(thm)],[22027, 22025])).
% 26.59/17.87 tff(22029,plain,
% 26.59/17.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(22030,plain,
% 26.59/17.87 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[22029, 22028])).
% 26.59/17.87 tff(22031,plain,
% 26.59/17.87 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22030, 1105, 22024])).
% 26.59/17.87 tff(22032,plain,
% 26.59/17.87 (v90(constB174, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22031, 21961])).
% 26.59/17.87 tff(22033,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22034,plain,
% 26.59/17.87 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22035,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 26.59/17.87 inference(monotonicity,[status(thm)],[22034])).
% 26.59/17.87 tff(22036,plain,
% 26.59/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 26.59/17.87 inference(transitivity,[status(thm)],[22035, 22033])).
% 26.59/17.87 tff(22037,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 26.59/17.87 inference(quant_inst,[status(thm)],[])).
% 26.59/17.87 tff(22038,plain,
% 26.59/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 26.59/17.87 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 26.59/17.87 tff(22039,plain,
% 26.59/17.87 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22038, 1123, 21989])).
% 26.59/17.87 tff(22040,plain,
% 26.59/17.87 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22039, 22001])).
% 26.59/17.87 tff(22041,plain,
% 26.59/17.87 (v90(constB175, bitIndex1)),
% 26.59/17.87 inference(unit_resolution,[status(thm)],[22040, 22032])).
% 26.59/17.87 tff(22042,plain,
% 26.59/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0))),
% 26.59/17.87 inference(rewrite,[status(thm)],[])).
% 26.59/17.87 tff(22043,plain,
% 26.59/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22044,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22043, 22042])).
% 26.59/17.88 tff(22045,plain,
% 26.59/17.88 (v130(constB173, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22044, 1413, 21870])).
% 26.59/17.88 tff(22046,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22047,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22048,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22047, 22046])).
% 26.59/17.88 tff(22049,plain,
% 26.59/17.88 ((~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22048, 822, 21906])).
% 26.59/17.88 tff(22050,plain,
% 26.59/17.88 (v127(constB173, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22049, 22045])).
% 26.59/17.88 tff(22051,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22052,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22053,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22052, 22051])).
% 26.59/17.88 tff(22054,plain,
% 26.59/17.88 ((~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22053, 837, 21921])).
% 26.59/17.88 tff(22055,plain,
% 26.59/17.88 (v129(constB174, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22054, 22050])).
% 26.59/17.88 tff(22056,plain,
% 26.59/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22057,plain,
% 26.59/17.88 ((v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22058,plain,
% 26.59/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22057])).
% 26.59/17.88 tff(22059,plain,
% 26.59/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22058, 22056])).
% 26.59/17.88 tff(22060,plain,
% 26.59/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22061,plain,
% 26.59/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22060, 22059])).
% 26.59/17.88 tff(22062,plain,
% 26.59/17.88 (v90(constB174, bitIndex0) | (~v100(constB174))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22061, 852, 22055])).
% 26.59/17.88 tff(22063,plain,
% 26.59/17.88 (v90(constB174, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22062, 21961])).
% 26.59/17.88 tff(22064,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22065,plain,
% 26.59/17.88 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22066,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22065])).
% 26.59/17.88 tff(22067,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22066, 22064])).
% 26.59/17.88 tff(22068,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22069,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22068, 22067])).
% 26.59/17.88 tff(22070,plain,
% 26.59/17.88 ((~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22069, 870, 21989])).
% 26.59/17.88 tff(22071,plain,
% 26.59/17.88 ((~v90(constB174, bitIndex0)) | v90(constB175, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22070, 22001])).
% 26.59/17.88 tff(22072,plain,
% 26.59/17.88 (v90(constB175, bitIndex0)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22071, 22063])).
% 26.59/17.88 tff(22073,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22074,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22075,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22074, 22073])).
% 26.59/17.88 tff(22076,plain,
% 26.59/17.88 (v122(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22075, 1454, 22072, 22041, 22010])).
% 26.59/17.88 tff(22077,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22078,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22079,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22078, 22077])).
% 26.59/17.88 tff(22080,plain,
% 26.59/17.88 (v116(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22079, 1465, 22076])).
% 26.59/17.88 tff(22081,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22082,plain,
% 26.59/17.88 (((~v116(constB175)) | v115(constB175)) <=> (v115(constB175) | (~v116(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22083,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB175) | (~v116(constB175))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22082])).
% 26.59/17.88 tff(22084,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22083, 22081])).
% 26.59/17.88 tff(22085,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22086,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22085, 22084])).
% 26.59/17.88 tff(22087,plain,
% 26.59/17.88 (v115(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22086, 490, 22080])).
% 26.59/17.88 tff(22088,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB175)) | v114(constB175))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22089,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22090,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB175)) | v114(constB175)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22089, 22088])).
% 26.59/17.88 tff(22091,plain,
% 26.59/17.88 (v114(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22090, 504, 22087])).
% 26.59/17.88 tff(22092,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22093,plain,
% 26.59/17.88 (((~v114(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v114(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22094,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22093])).
% 26.59/17.88 tff(22095,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22094, 22092])).
% 26.59/17.88 tff(22096,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22097,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22096, 22095])).
% 26.59/17.88 tff(22098,plain,
% 26.59/17.88 (v113(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22097, 518, 22091])).
% 26.59/17.88 tff(22099,assumption,(v26(constB175)), introduced(assumption)).
% 26.59/17.88 tff(22100,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22101,plain,
% 26.59/17.88 ($false),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22100, 120, 22099])).
% 26.59/17.88 tff(22102,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.88 tff(22103,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22104,plain,
% 26.59/17.88 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22105,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22104])).
% 26.59/17.88 tff(22106,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22105, 22103])).
% 26.59/17.88 tff(22107,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22108,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22107, 22106])).
% 26.59/17.88 tff(22109,plain,
% 26.59/17.88 (v112(constB175) | (~v113(constB175))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22108, 532, 22102])).
% 26.59/17.88 tff(22110,plain,
% 26.59/17.88 (v112(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22109, 22098])).
% 26.59/17.88 tff(22111,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22112,plain,
% 26.59/17.88 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22113,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22112])).
% 26.59/17.88 tff(22114,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22113, 22111])).
% 26.59/17.88 tff(22115,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22116,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 26.59/17.88 tff(22117,plain,
% 26.59/17.88 (v108(constB175)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22116, 544, 22110])).
% 26.59/17.88 tff(22118,plain,
% 26.59/17.88 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22119,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 26.59/17.88 tff(22120,plain,
% 26.59/17.88 (nextState(constB175, constB176)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 26.59/17.88 tff(22121,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22122,plain,
% 26.59/17.88 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22123,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22122])).
% 26.59/17.88 tff(22124,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22123, 22121])).
% 26.59/17.88 tff(22125,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22126,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22125, 22124])).
% 26.59/17.88 tff(22127,plain,
% 26.59/17.88 (v110(constB176) | (~v108(constB175))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22126, 564, 22120])).
% 26.59/17.88 tff(22128,plain,
% 26.59/17.88 (v110(constB176)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22127, 22117])).
% 26.59/17.88 tff(22129,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22130,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22131,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22130, 22129])).
% 26.59/17.88 tff(22132,plain,
% 26.59/17.88 (~v104(constB176)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22131, 582, 22120, 21986])).
% 26.59/17.88 tff(22133,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22134,plain,
% 26.59/17.88 (((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22135,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22134])).
% 26.59/17.88 tff(22136,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22135, 22133])).
% 26.59/17.88 tff(22137,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22138,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | v102(constB176)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 26.59/17.88 tff(22139,plain,
% 26.59/17.88 (v104(constB176) | v102(constB176)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22138, 596, 22120])).
% 26.59/17.88 tff(22140,plain,
% 26.59/17.88 (v102(constB176)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22139, 22132])).
% 26.59/17.88 tff(22141,plain,
% 26.59/17.88 (v1(constB176) <=> v1(constB176)),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22142,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 26.59/17.88 tff(22143,plain,
% 26.59/17.88 (v1(constB176)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22142, 22141])).
% 26.59/17.88 tff(22144,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22145,plain,
% 26.59/17.88 (((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))) <=> ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22146,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22145])).
% 26.59/17.88 tff(22147,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22146, 22144])).
% 26.59/17.88 tff(22148,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22149,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | (~v1(constB176)) | v101(constB176) | (~v102(constB176))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 26.59/17.88 tff(22150,plain,
% 26.59/17.88 (v101(constB176) | (~v102(constB176))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22149, 617, 22120, 22143])).
% 26.59/17.88 tff(22151,plain,
% 26.59/17.88 (v101(constB176)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22150, 22140])).
% 26.59/17.88 tff(22152,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22153,plain,
% 26.59/17.88 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22154,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22153])).
% 26.59/17.88 tff(22155,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22154, 22152])).
% 26.59/17.88 tff(22156,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22157,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 26.59/17.88 tff(22158,plain,
% 26.59/17.88 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22157, 635, 22120])).
% 26.59/17.88 tff(22159,plain,
% 26.59/17.88 (v100(constB176) | (~v110(constB176))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22158, 22151])).
% 26.59/17.88 tff(22160,plain,
% 26.59/17.88 (v100(constB176)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22159, 22128])).
% 26.59/17.88 tff(22161,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22162,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22163,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 26.59/17.88 tff(22164,plain,
% 26.59/17.88 (v130(constB175, bitIndex2)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22163, 1546, 22076])).
% 26.59/17.88 tff(22165,plain,
% 26.59/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22166,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22167,plain,
% 26.59/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22166, 22165])).
% 26.59/17.88 tff(22168,plain,
% 26.59/17.88 ((~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22167, 1560, 22102])).
% 26.59/17.88 tff(22169,plain,
% 26.59/17.88 (v127(constB175, bitIndex2)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22168, 22164])).
% 26.59/17.88 tff(22170,plain,
% 26.59/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22171,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22172,plain,
% 26.59/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 26.59/17.88 tff(22173,plain,
% 26.59/17.88 ((~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22172, 1575, 22120])).
% 26.59/17.88 tff(22174,plain,
% 26.59/17.88 (v129(constB176, bitIndex2)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22173, 22169])).
% 26.59/17.88 tff(22175,plain,
% 26.59/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22176,plain,
% 26.59/17.88 ((v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22177,plain,
% 26.59/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))))),
% 26.59/17.88 inference(monotonicity,[status(thm)],[22176])).
% 26.59/17.88 tff(22178,plain,
% 26.59/17.88 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 26.59/17.88 inference(transitivity,[status(thm)],[22177, 22175])).
% 26.59/17.88 tff(22179,plain,
% 26.59/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))),
% 26.59/17.88 inference(quant_inst,[status(thm)],[])).
% 26.59/17.88 tff(22180,plain,
% 26.59/17.88 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22179, 22178])).
% 26.59/17.88 tff(22181,plain,
% 26.59/17.88 (v90(constB176, bitIndex2) | (~v100(constB176))),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22180, 1590, 22174])).
% 26.59/17.88 tff(22182,plain,
% 26.59/17.88 (v90(constB176, bitIndex2)),
% 26.59/17.88 inference(unit_resolution,[status(thm)],[22181, 22160])).
% 26.59/17.88 tff(22183,plain,
% 26.59/17.88 ((~v1(constB177)) <=> (~v1(constB177))),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22184,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 26.59/17.88 tff(22185,plain,
% 26.59/17.88 (~v1(constB177)),
% 26.59/17.88 inference(modus_ponens,[status(thm)],[22184, 22183])).
% 26.59/17.88 tff(22186,plain,
% 26.59/17.88 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 26.59/17.88 inference(rewrite,[status(thm)],[])).
% 26.59/17.88 tff(22187,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 26.59/17.88 tff(22188,plain,
% 26.59/17.88 (nextState(constB176, constB177)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 26.59/17.89 tff(22189,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22190,plain,
% 26.59/17.89 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22191,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22190])).
% 26.59/17.89 tff(22192,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22191, 22189])).
% 26.59/17.89 tff(22193,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22194,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 26.59/17.89 tff(22195,plain,
% 26.59/17.89 (~v101(constB177)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22194, 342, 22188, 22185])).
% 26.59/17.89 tff(22196,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22197,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22198,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22197, 22196])).
% 26.59/17.89 tff(22199,plain,
% 26.59/17.89 (v101(constB177) | (~v100(constB177))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22198, 359, 22188])).
% 26.59/17.89 tff(22200,plain,
% 26.59/17.89 (~v100(constB177)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22199, 22195])).
% 26.59/17.89 tff(22201,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22202,plain,
% 26.59/17.89 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22203,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22202])).
% 26.59/17.89 tff(22204,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22203, 22201])).
% 26.59/17.89 tff(22205,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22206,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22205, 22204])).
% 26.59/17.89 tff(22207,plain,
% 26.59/17.89 ((~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22206, 1626, 22188])).
% 26.59/17.89 tff(22208,plain,
% 26.59/17.89 ((~v90(constB176, bitIndex2)) | v90(constB177, bitIndex2)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22207, 22200])).
% 26.59/17.89 tff(22209,plain,
% 26.59/17.89 (v90(constB177, bitIndex2)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22208, 22182])).
% 26.59/17.89 tff(22210,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22211,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22212,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 26.59/17.89 tff(22213,plain,
% 26.59/17.89 (~v130(constB175, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22212, 1642, 22076])).
% 26.59/17.89 tff(22214,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22215,plain,
% 26.59/17.89 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22216,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22215])).
% 26.59/17.89 tff(22217,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22216, 22214])).
% 26.59/17.89 tff(22218,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22219,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22218, 22217])).
% 26.59/17.89 tff(22220,plain,
% 26.59/17.89 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22219, 751, 22102])).
% 26.59/17.89 tff(22221,plain,
% 26.59/17.89 (~v127(constB175, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22220, 22213])).
% 26.59/17.89 tff(22222,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22223,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22224,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 26.59/17.89 tff(22225,plain,
% 26.59/17.89 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22224, 769, 22120])).
% 26.59/17.89 tff(22226,plain,
% 26.59/17.89 (~v129(constB176, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22225, 22221])).
% 26.59/17.89 tff(22227,plain,
% 26.59/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22228,plain,
% 26.59/17.89 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22229,plain,
% 26.59/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22228])).
% 26.59/17.89 tff(22230,plain,
% 26.59/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22229, 22227])).
% 26.59/17.89 tff(22231,plain,
% 26.59/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22232,plain,
% 26.59/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 26.59/17.89 tff(22233,plain,
% 26.59/17.89 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22232, 784, 22226])).
% 26.59/17.89 tff(22234,plain,
% 26.59/17.89 (~v90(constB176, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22233, 22160])).
% 26.59/17.89 tff(22235,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22236,plain,
% 26.59/17.89 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22237,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22236])).
% 26.59/17.89 tff(22238,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22237, 22235])).
% 26.59/17.89 tff(22239,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22240,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22239, 22238])).
% 26.59/17.89 tff(22241,plain,
% 26.59/17.89 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22240, 395, 22188])).
% 26.59/17.89 tff(22242,plain,
% 26.59/17.89 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22241, 22200])).
% 26.59/17.89 tff(22243,plain,
% 26.59/17.89 (~v90(constB177, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22242, 22234])).
% 26.59/17.89 tff(22244,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22245,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22246,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 26.59/17.89 tff(22247,plain,
% 26.59/17.89 (~v130(constB175, bitIndex0)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22246, 1683, 22076])).
% 26.59/17.89 tff(22248,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22249,plain,
% 26.59/17.89 ((v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0))) <=> ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22250,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22249])).
% 26.59/17.89 tff(22251,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22250, 22248])).
% 26.59/17.89 tff(22252,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22253,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 26.59/17.89 tff(22254,plain,
% 26.59/17.89 ((~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22253, 1153, 22102])).
% 26.59/17.89 tff(22255,plain,
% 26.59/17.89 (~v127(constB175, bitIndex0)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22254, 22247])).
% 26.59/17.89 tff(22256,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22257,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22258,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 26.59/17.89 tff(22259,plain,
% 26.59/17.89 (v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22258, 1171, 22120])).
% 26.59/17.89 tff(22260,plain,
% 26.59/17.89 (~v129(constB176, bitIndex0)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22259, 22255])).
% 26.59/17.89 tff(22261,plain,
% 26.59/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22262,plain,
% 26.59/17.89 (((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22263,plain,
% 26.59/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22262])).
% 26.59/17.89 tff(22264,plain,
% 26.59/17.89 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22263, 22261])).
% 26.59/17.89 tff(22265,plain,
% 26.59/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22266,plain,
% 26.59/17.89 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22265, 22264])).
% 26.59/17.89 tff(22267,plain,
% 26.59/17.89 ((~v90(constB176, bitIndex0)) | (~v100(constB176))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22266, 1186, 22260])).
% 26.59/17.89 tff(22268,plain,
% 26.59/17.89 (~v90(constB176, bitIndex0)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22267, 22160])).
% 26.59/17.89 tff(22269,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22270,plain,
% 26.59/17.89 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22271,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22270])).
% 26.59/17.89 tff(22272,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22271, 22269])).
% 26.59/17.89 tff(22273,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22274,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22273, 22272])).
% 26.59/17.89 tff(22275,plain,
% 26.59/17.89 (v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22274, 416, 22188])).
% 26.59/17.89 tff(22276,plain,
% 26.59/17.89 (v90(constB176, bitIndex0) | (~v90(constB177, bitIndex0))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22275, 22200])).
% 26.59/17.89 tff(22277,plain,
% 26.59/17.89 (~v90(constB177, bitIndex0)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22276, 22268])).
% 26.59/17.89 tff(22278,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22279,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22280,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22279, 22278])).
% 26.59/17.89 tff(22281,plain,
% 26.59/17.89 (v123(constB177)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22280, 1727, 22277, 22243, 22209])).
% 26.59/17.89 tff(22282,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22283,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22284,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22283, 22282])).
% 26.59/17.89 tff(22285,plain,
% 26.59/17.89 (~v130(constB177, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22284, 1893, 22281])).
% 26.59/17.89 tff(22286,assumption,(v26(constB177)), introduced(assumption)).
% 26.59/17.89 tff(22287,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22288,plain,
% 26.59/17.89 ($false),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22287, 120, 22286])).
% 26.59/17.89 tff(22289,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.89 tff(22290,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22291,plain,
% 26.59/17.89 ((v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1))) <=> ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22292,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)))),
% 26.59/17.89 inference(monotonicity,[status(thm)],[22291])).
% 26.59/17.89 tff(22293,plain,
% 26.59/17.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 26.59/17.89 inference(transitivity,[status(thm)],[22292, 22290])).
% 26.59/17.89 tff(22294,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22295,plain,
% 26.59/17.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22294, 22293])).
% 26.59/17.89 tff(22296,plain,
% 26.59/17.89 ((~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22295, 751, 22289])).
% 26.59/17.89 tff(22297,plain,
% 26.59/17.89 (~v127(constB177, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22296, 22285])).
% 26.59/17.89 tff(22298,plain,
% 26.59/17.89 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22299,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 26.59/17.89 tff(22300,plain,
% 26.59/17.89 (nextState(constB177, constB178)),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22299, 22298])).
% 26.59/17.89 tff(22301,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22302,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22303,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22302, 22301])).
% 26.59/17.89 tff(22304,plain,
% 26.59/17.89 (v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22303, 769, 22300])).
% 26.59/17.89 tff(22305,plain,
% 26.59/17.89 (~v129(constB178, bitIndex1)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22304, 22297])).
% 26.59/17.89 tff(22306,assumption,(~v90(constB177, bitIndex0)), introduced(assumption)).
% 26.59/17.89 tff(22307,assumption,(~v100(constB178)), introduced(assumption)).
% 26.59/17.89 tff(22308,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22309,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 26.59/17.89 inference(quant_inst,[status(thm)],[])).
% 26.59/17.89 tff(22310,plain,
% 26.59/17.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 26.59/17.89 inference(modus_ponens,[status(thm)],[22309, 22308])).
% 26.59/17.89 tff(22311,plain,
% 26.59/17.89 (~v104(constB178)),
% 26.59/17.89 inference(unit_resolution,[status(thm)],[22310, 582, 22300, 22185])).
% 26.59/17.89 tff(22312,plain,
% 26.59/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 26.59/17.89 inference(rewrite,[status(thm)],[])).
% 26.59/17.89 tff(22313,plain,
% 26.59/17.89 (((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22314,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22313])).
% 26.59/17.90 tff(22315,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22314, 22312])).
% 26.59/17.90 tff(22316,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22317,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | v102(constB178)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 26.59/17.90 tff(22318,plain,
% 26.59/17.90 (v104(constB178) | v102(constB178)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22317, 596, 22300])).
% 26.59/17.90 tff(22319,plain,
% 26.59/17.90 (v102(constB178)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22318, 22311])).
% 26.59/17.90 tff(22320,plain,
% 26.59/17.90 (v1(constB178) <=> v1(constB178)),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22321,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 26.59/17.90 tff(22322,plain,
% 26.59/17.90 (v1(constB178)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22321, 22320])).
% 26.59/17.90 tff(22323,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22324,plain,
% 26.59/17.90 (((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))) <=> ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22325,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22324])).
% 26.59/17.90 tff(22326,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22325, 22323])).
% 26.59/17.90 tff(22327,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22328,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | (~v1(constB178)) | v101(constB178) | (~v102(constB178))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 26.59/17.90 tff(22329,plain,
% 26.59/17.90 (v101(constB178) | (~v102(constB178))),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22328, 617, 22300, 22322])).
% 26.59/17.90 tff(22330,plain,
% 26.59/17.90 (v101(constB178)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22329, 22319])).
% 26.59/17.90 tff(22331,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22332,plain,
% 26.59/17.90 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22333,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22332])).
% 26.59/17.90 tff(22334,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22333, 22331])).
% 26.59/17.90 tff(22335,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22336,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22335, 22334])).
% 26.59/17.90 tff(22337,plain,
% 26.59/17.90 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22336, 635, 22300])).
% 26.59/17.90 tff(22338,plain,
% 26.59/17.90 (v100(constB178) | (~v110(constB178))),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22337, 22330])).
% 26.59/17.90 tff(22339,plain,
% 26.59/17.90 (~v110(constB178)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22338, 22307])).
% 26.59/17.90 tff(22340,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22341,plain,
% 26.59/17.90 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22342,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22341])).
% 26.59/17.90 tff(22343,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22342, 22340])).
% 26.59/17.90 tff(22344,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22345,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22344, 22343])).
% 26.59/17.90 tff(22346,plain,
% 26.59/17.90 (v110(constB178) | (~v108(constB177))),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22345, 564, 22300])).
% 26.59/17.90 tff(22347,plain,
% 26.59/17.90 (~v108(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22346, 22339])).
% 26.59/17.90 tff(22348,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22349,plain,
% 26.59/17.90 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22350,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22349])).
% 26.59/17.90 tff(22351,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22350, 22348])).
% 26.59/17.90 tff(22352,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22353,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 26.59/17.90 tff(22354,plain,
% 26.59/17.90 (~v112(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22353, 544, 22347])).
% 26.59/17.90 tff(22355,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v26(constB177)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v26(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22356,plain,
% 26.59/17.90 (((~v26(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v26(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22357,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v26(constB177))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22356])).
% 26.59/17.90 tff(22358,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v26(constB177)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22357, 22355])).
% 26.59/17.90 tff(22359,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB177)) | v108(constB177))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22360,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v26(constB177))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22359, 22358])).
% 26.59/17.90 tff(22361,plain,
% 26.59/17.90 (~v26(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22360, 1770, 22347])).
% 26.59/17.90 tff(22362,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22363,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22364,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22363, 22362])).
% 26.59/17.90 tff(22365,plain,
% 26.59/17.90 (~v113(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22364, 532, 22361, 22354])).
% 26.59/17.90 tff(22366,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22367,plain,
% 26.59/17.90 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22368,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22367])).
% 26.59/17.90 tff(22369,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22368, 22366])).
% 26.59/17.90 tff(22370,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22371,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 26.59/17.90 tff(22372,plain,
% 26.59/17.90 (~v114(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22371, 518, 22365])).
% 26.59/17.90 tff(22373,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22374,plain,
% 26.59/17.90 (((~v115(constB177)) | v114(constB177)) <=> (v114(constB177) | (~v115(constB177)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22375,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22374])).
% 26.59/17.90 tff(22376,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22375, 22373])).
% 26.59/17.90 tff(22377,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22378,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22377, 22376])).
% 26.59/17.90 tff(22379,plain,
% 26.59/17.90 (~v115(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22378, 504, 22372])).
% 26.59/17.90 tff(22380,assumption,(~v90(constB178, bitIndex0)), introduced(assumption)).
% 26.59/17.90 tff(22381,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB177)) | v113(constB177))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22382,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB177)) | v113(constB177))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22383,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB177)) | v113(constB177)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22382, 22381])).
% 26.59/17.90 tff(22384,plain,
% 26.59/17.90 (~v125(constB177)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22383, 2215, 22365])).
% 26.59/17.90 tff(22385,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22386,plain,
% 26.59/17.90 (((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0)) <=> ((~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22387,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0)))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22386])).
% 26.59/17.90 tff(22388,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22387, 22385])).
% 26.59/17.90 tff(22389,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22390,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22389, 22388])).
% 26.59/17.90 tff(22391,plain,
% 26.59/17.90 ((~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22390, 870, 22300])).
% 26.59/17.90 tff(22392,plain,
% 26.59/17.90 (~v90(constB177, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22391, 22307, 22380])).
% 26.59/17.90 tff(22393,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22394,plain,
% 26.59/17.90 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22395,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22394])).
% 26.59/17.90 tff(22396,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22395, 22393])).
% 26.59/17.90 tff(22397,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22398,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22397, 22396])).
% 26.59/17.90 tff(22399,plain,
% 26.59/17.90 ((~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22398, 870, 22188])).
% 26.59/17.90 tff(22400,plain,
% 26.59/17.90 ((~v90(constB176, bitIndex0)) | v90(constB177, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22399, 22200])).
% 26.59/17.90 tff(22401,plain,
% 26.59/17.90 (~v90(constB176, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22400, 22392])).
% 26.59/17.90 tff(22402,assumption,(~v90(constB176, bitIndex0)), introduced(assumption)).
% 26.59/17.90 tff(22403,assumption,(~v100(constB176)), introduced(assumption)).
% 26.59/17.90 tff(22404,plain,
% 26.59/17.90 (~v110(constB176)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22159, 22403])).
% 26.59/17.90 tff(22405,plain,
% 26.59/17.90 (~v108(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22127, 22404])).
% 26.59/17.90 tff(22406,plain,
% 26.59/17.90 (~v112(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22116, 544, 22405])).
% 26.59/17.90 tff(22407,plain,
% 26.59/17.90 (~v113(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22109, 22406])).
% 26.59/17.90 tff(22408,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v125(constB175)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v125(constB175)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22409,plain,
% 26.59/17.90 (((~v125(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v125(constB175)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22410,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v125(constB175))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22409])).
% 26.59/17.90 tff(22411,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v125(constB175)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22410, 22408])).
% 26.59/17.90 tff(22412,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB175)) | v113(constB175))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22413,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v125(constB175))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 26.59/17.90 tff(22414,plain,
% 26.59/17.90 (~v125(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22413, 2215, 22407])).
% 26.59/17.90 tff(22415,plain,
% 26.59/17.90 (~v114(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22097, 518, 22407])).
% 26.59/17.90 tff(22416,plain,
% 26.59/17.90 (~v115(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22090, 504, 22415])).
% 26.59/17.90 tff(22417,plain,
% 26.59/17.90 (~v116(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22086, 490, 22416])).
% 26.59/17.90 tff(22418,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB175) | (~v117(constB175)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB175) | (~v117(constB175)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22419,plain,
% 26.59/17.90 (((~v117(constB175)) | v116(constB175)) <=> (v116(constB175) | (~v117(constB175)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22420,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB175) | (~v117(constB175))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22419])).
% 26.59/17.90 tff(22421,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB175) | (~v117(constB175)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22420, 22418])).
% 26.59/17.90 tff(22422,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB175)) | v116(constB175))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22423,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB175) | (~v117(constB175))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 26.59/17.90 tff(22424,plain,
% 26.59/17.90 (~v117(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22423, 476, 22417])).
% 26.59/17.90 tff(22425,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB175)) | v117(constB175))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB175)) | v117(constB175))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22426,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB175)) | v117(constB175))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22427,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB175)) | v117(constB175)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 26.59/17.90 tff(22428,plain,
% 26.59/17.90 (~v121(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22427, 1224, 22424])).
% 26.59/17.90 tff(22429,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22430,plain,
% 26.59/17.90 (((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0)) <=> ((~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22431,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0)))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22430])).
% 26.59/17.90 tff(22432,plain,
% 26.59/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22431, 22429])).
% 26.59/17.90 tff(22433,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22434,plain,
% 26.59/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22433, 22432])).
% 26.59/17.90 tff(22435,plain,
% 26.59/17.90 ((~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22434, 870, 22120])).
% 26.59/17.90 tff(22436,plain,
% 26.59/17.90 (~v90(constB175, bitIndex0)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22435, 22403, 22402])).
% 26.59/17.90 tff(22437,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB175) | (~v118(constB175)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB175) | (~v118(constB175)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22438,plain,
% 26.59/17.90 (((~v118(constB175)) | v117(constB175)) <=> (v117(constB175) | (~v118(constB175)))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22439,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB175)) | v117(constB175))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB175) | (~v118(constB175))))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22438])).
% 26.59/17.90 tff(22440,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB175)) | v117(constB175))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB175) | (~v118(constB175)))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22439, 22437])).
% 26.59/17.90 tff(22441,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB175)) | v117(constB175))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22442,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB175) | (~v118(constB175))),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22441, 22440])).
% 26.59/17.90 tff(22443,plain,
% 26.59/17.90 (~v118(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22442, 462, 22424])).
% 26.59/17.90 tff(22444,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB175)) | v118(constB175))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB175)) | v118(constB175))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22445,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB175)) | v118(constB175))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22446,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB175)) | v118(constB175)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22445, 22444])).
% 26.59/17.90 tff(22447,plain,
% 26.59/17.90 (~v119(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22446, 451, 22443])).
% 26.59/17.90 tff(22448,assumption,(~v119(constB175)), introduced(assumption)).
% 26.59/17.90 tff(22449,assumption,(~v90(constB175, bitIndex2)), introduced(assumption)).
% 26.59/17.90 tff(22450,assumption,(~v121(constB175)), introduced(assumption)).
% 26.59/17.90 tff(22451,assumption,(~v90(constB175, bitIndex0)), introduced(assumption)).
% 26.59/17.90 tff(22452,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v121(constB175))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v121(constB175))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22453,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v121(constB175))),
% 26.59/17.90 inference(quant_inst,[status(thm)],[])).
% 26.59/17.90 tff(22454,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v121(constB175)),
% 26.59/17.90 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 26.59/17.90 tff(22455,plain,
% 26.59/17.90 ((~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v121(constB175)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22454, 1213, 22451])).
% 26.59/17.90 tff(22456,plain,
% 26.59/17.90 (~v90(constB175, bitIndex1)),
% 26.59/17.90 inference(unit_resolution,[status(thm)],[22455, 22449, 22450])).
% 26.59/17.90 tff(22457,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22458,plain,
% 26.59/17.90 ((v90(constB175, bitIndex0) | v119(constB175) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)) <=> (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175))),
% 26.59/17.90 inference(rewrite,[status(thm)],[])).
% 26.59/17.90 tff(22459,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB175, bitIndex0) | v119(constB175) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175)))),
% 26.59/17.90 inference(monotonicity,[status(thm)],[22458])).
% 26.59/17.90 tff(22460,plain,
% 26.59/17.90 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB175, bitIndex0) | v119(constB175) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175))),
% 26.59/17.90 inference(transitivity,[status(thm)],[22459, 22457])).
% 26.59/17.90 tff(22461,plain,
% 26.59/17.90 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v90(constB175, bitIndex0) | v119(constB175) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22462,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 26.59/17.91 tff(22463,plain,
% 26.59/17.91 (v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | v119(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22462, 437, 22451])).
% 26.59/17.91 tff(22464,plain,
% 26.59/17.91 ($false),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22463, 22456, 22449, 22448])).
% 26.59/17.91 tff(22465,plain,(v90(constB175, bitIndex2) | v119(constB175) | v90(constB175, bitIndex0) | v121(constB175)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.91 tff(22466,plain,
% 26.59/17.91 (v90(constB175, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22465, 22447, 22436, 22428])).
% 26.59/17.91 tff(22467,assumption,(~v123(constB175)), introduced(assumption)).
% 26.59/17.91 tff(22468,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | v123(constB175))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | v123(constB175))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22469,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | v123(constB175))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22470,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | v123(constB175)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22469, 22468])).
% 26.59/17.91 tff(22471,plain,
% 26.59/17.91 (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22470, 1727, 22467])).
% 26.59/17.91 tff(22472,plain,
% 26.59/17.91 (v90(constB175, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22471, 22466, 22436])).
% 26.59/17.91 tff(22473,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22474,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22475,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22474, 22473])).
% 26.59/17.91 tff(22476,plain,
% 26.59/17.91 ((~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22475, 2204, 22436])).
% 26.59/17.91 tff(22477,plain,
% 26.59/17.91 ($false),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22476, 22472, 22466, 22414])).
% 26.59/17.91 tff(22478,plain,(v100(constB176) | v123(constB175) | v90(constB176, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.91 tff(22479,plain,
% 26.59/17.91 (v123(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22478, 22403, 22402])).
% 26.59/17.91 tff(22480,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB175)) | v115(constB175))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22481,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB175)) | v115(constB175))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22482,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB175)) | v115(constB175)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22481, 22480])).
% 26.59/17.91 tff(22483,plain,
% 26.59/17.91 (v115(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22482, 1784, 22479])).
% 26.59/17.91 tff(22484,plain,
% 26.59/17.91 (v114(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22090, 504, 22483])).
% 26.59/17.91 tff(22485,plain,
% 26.59/17.91 ($false),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22097, 518, 22407, 22484])).
% 26.59/17.91 tff(22486,plain,(v100(constB176) | v90(constB176, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.91 tff(22487,plain,
% 26.59/17.91 (v100(constB176)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22486, 22402])).
% 26.59/17.91 tff(22488,assumption,(v129(constB176, bitIndex0)), introduced(assumption)).
% 26.59/17.91 tff(22489,plain,
% 26.59/17.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22490,plain,
% 26.59/17.91 ((v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22491,plain,
% 26.59/17.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))))),
% 26.59/17.91 inference(monotonicity,[status(thm)],[22490])).
% 26.59/17.91 tff(22492,plain,
% 26.59/17.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 26.59/17.91 inference(transitivity,[status(thm)],[22491, 22489])).
% 26.59/17.91 tff(22493,plain,
% 26.59/17.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22494,plain,
% 26.59/17.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22493, 22492])).
% 26.59/17.91 tff(22495,plain,
% 26.59/17.91 (v90(constB176, bitIndex0) | (~v100(constB176))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22494, 852, 22488])).
% 26.59/17.91 tff(22496,plain,
% 26.59/17.91 ($false),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22495, 22487, 22402])).
% 26.59/17.91 tff(22497,plain,(v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 26.59/17.91 tff(22498,plain,
% 26.59/17.91 (~v129(constB176, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22497, 22401])).
% 26.59/17.91 tff(22499,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22500,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22501,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 26.59/17.91 tff(22502,plain,
% 26.59/17.91 ((~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22501, 837, 22120])).
% 26.59/17.91 tff(22503,plain,
% 26.59/17.91 (~v127(constB175, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22502, 22498])).
% 26.59/17.91 tff(22504,assumption,(~v90(constB178, bitIndex2)), introduced(assumption)).
% 26.59/17.91 tff(22505,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22506,plain,
% 26.59/17.91 (((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2)) <=> ((~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22507,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2)))),
% 26.59/17.91 inference(monotonicity,[status(thm)],[22506])).
% 26.59/17.91 tff(22508,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))),
% 26.59/17.91 inference(transitivity,[status(thm)],[22507, 22505])).
% 26.59/17.91 tff(22509,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22510,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22509, 22508])).
% 26.59/17.91 tff(22511,plain,
% 26.59/17.91 ((~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22510, 1626, 22300])).
% 26.59/17.91 tff(22512,plain,
% 26.59/17.91 (~v90(constB177, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22511, 22307, 22504])).
% 26.59/17.91 tff(22513,plain,
% 26.59/17.91 (~v90(constB176, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22208, 22512])).
% 26.59/17.91 tff(22514,plain,
% 26.59/17.91 (v100(constB176)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22486, 22401])).
% 26.59/17.91 tff(22515,plain,
% 26.59/17.91 (~v129(constB176, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22180, 1590, 22514, 22513])).
% 26.59/17.91 tff(22516,plain,
% 26.59/17.91 (~v127(constB175, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22173, 22515])).
% 26.59/17.91 tff(22517,assumption,(~v121(constB177)), introduced(assumption)).
% 26.59/17.91 tff(22518,assumption,(~v26(constB175)), introduced(assumption)).
% 26.59/17.91 tff(22519,assumption,(~v127(constB175, bitIndex2)), introduced(assumption)).
% 26.59/17.91 tff(22520,plain,
% 26.59/17.91 (v26(constB175) | (~v130(constB175, bitIndex2))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22167, 1560, 22519])).
% 26.59/17.91 tff(22521,plain,
% 26.59/17.91 (~v130(constB175, bitIndex2)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22520, 22518])).
% 26.59/17.91 tff(22522,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB175)) | v130(constB175, bitIndex2))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22523,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB175)) | v130(constB175, bitIndex2))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22524,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB175)) | v130(constB175, bitIndex2)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22523, 22522])).
% 26.59/17.91 tff(22525,plain,
% 26.59/17.91 (~v124(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22524, 2066, 22521])).
% 26.59/17.91 tff(22526,assumption,(~v127(constB175, bitIndex0)), introduced(assumption)).
% 26.59/17.91 tff(22527,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22528,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22529,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22528, 22527])).
% 26.59/17.91 tff(22530,plain,
% 26.59/17.91 (v26(constB175) | (~v130(constB175, bitIndex0))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22529, 822, 22526])).
% 26.59/17.91 tff(22531,plain,
% 26.59/17.91 (~v130(constB175, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22530, 22518])).
% 26.59/17.91 tff(22532,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB175)) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22533,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB175)) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22534,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB175)) | v130(constB175, bitIndex0)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22533, 22532])).
% 26.59/17.91 tff(22535,plain,
% 26.59/17.91 (~v123(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22534, 1934, 22531])).
% 26.59/17.91 tff(22536,plain,
% 26.59/17.91 (~v122(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22163, 1546, 22521])).
% 26.59/17.91 tff(22537,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB175)) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22538,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB175)) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22539,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB175)) | v130(constB175, bitIndex0)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 26.59/17.91 tff(22540,plain,
% 26.59/17.91 (~v121(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22539, 1413, 22531])).
% 26.59/17.91 tff(22541,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB175)) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB175)) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22542,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB175)) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22543,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB175)) | v130(constB175, bitIndex0)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22542, 22541])).
% 26.59/17.91 tff(22544,plain,
% 26.59/17.91 (~v119(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22543, 808, 22531])).
% 26.59/17.91 tff(22545,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22546,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22547,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22546, 22545])).
% 26.59/17.91 tff(22548,plain,
% 26.59/17.91 (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22547, 2459, 22531])).
% 26.59/17.91 tff(22549,plain,
% 26.59/17.91 (v120(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22548, 22544, 22540, 22536, 22535, 22525])).
% 26.59/17.91 tff(22550,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB175) | (~v120(constB175)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB175) | (~v120(constB175)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22551,plain,
% 26.59/17.91 (((~v120(constB175)) | v118(constB175)) <=> (v118(constB175) | (~v120(constB175)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22552,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB175)) | v118(constB175))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB175) | (~v120(constB175))))),
% 26.59/17.91 inference(monotonicity,[status(thm)],[22551])).
% 26.59/17.91 tff(22553,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB175)) | v118(constB175))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB175) | (~v120(constB175)))),
% 26.59/17.91 inference(transitivity,[status(thm)],[22552, 22550])).
% 26.59/17.91 tff(22554,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB175)) | v118(constB175))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22555,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB175) | (~v120(constB175))),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22554, 22553])).
% 26.59/17.91 tff(22556,plain,
% 26.59/17.91 (v118(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22555, 900, 22549])).
% 26.59/17.91 tff(22557,plain,
% 26.59/17.91 (v117(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22442, 462, 22556])).
% 26.59/17.91 tff(22558,plain,
% 26.59/17.91 (v116(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22423, 476, 22557])).
% 26.59/17.91 tff(22559,plain,
% 26.59/17.91 (v115(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22086, 490, 22558])).
% 26.59/17.91 tff(22560,plain,
% 26.59/17.91 (v114(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22090, 504, 22559])).
% 26.59/17.91 tff(22561,plain,
% 26.59/17.91 (v113(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22097, 518, 22560])).
% 26.59/17.91 tff(22562,plain,
% 26.59/17.91 (v112(constB175) | (~v113(constB175))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22108, 532, 22518])).
% 26.59/17.91 tff(22563,plain,
% 26.59/17.91 (v112(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22562, 22561])).
% 26.59/17.91 tff(22564,plain,
% 26.59/17.91 (v108(constB175)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22116, 544, 22563])).
% 26.59/17.91 tff(22565,plain,
% 26.59/17.91 (v110(constB176)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22127, 22564])).
% 26.59/17.91 tff(22566,plain,
% 26.59/17.91 (v100(constB176)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22159, 22565])).
% 26.59/17.91 tff(22567,plain,
% 26.59/17.91 (~v129(constB176, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22259, 22526])).
% 26.59/17.91 tff(22568,plain,
% 26.59/17.91 ((~v90(constB176, bitIndex0)) | (~v100(constB176))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22266, 1186, 22567])).
% 26.59/17.91 tff(22569,plain,
% 26.59/17.91 (~v90(constB176, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22568, 22566])).
% 26.59/17.91 tff(22570,plain,
% 26.59/17.91 (~v90(constB177, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22276, 22569])).
% 26.59/17.91 tff(22571,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB175)) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB175)) | v130(constB175, bitIndex1))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22572,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB175)) | v130(constB175, bitIndex1))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22573,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB175)) | v130(constB175, bitIndex1)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 26.59/17.91 tff(22574,plain,
% 26.59/17.91 (v130(constB175, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22573, 1061, 22549])).
% 26.59/17.91 tff(22575,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB175) | (~v130(constB175, bitIndex1)) | v127(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB175) | (~v130(constB175, bitIndex1)) | v127(constB175, bitIndex1))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22576,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB175) | (~v130(constB175, bitIndex1)) | v127(constB175, bitIndex1))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22577,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB175) | (~v130(constB175, bitIndex1)) | v127(constB175, bitIndex1)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22576, 22575])).
% 26.59/17.91 tff(22578,plain,
% 26.59/17.91 ((~v130(constB175, bitIndex1)) | v127(constB175, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22577, 1075, 22518])).
% 26.59/17.91 tff(22579,plain,
% 26.59/17.91 (v127(constB175, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22578, 22574])).
% 26.59/17.91 tff(22580,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex1)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex1)) | v129(constB176, bitIndex1))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22581,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex1)) | v129(constB176, bitIndex1))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22582,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex1)) | v129(constB176, bitIndex1)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 26.59/17.91 tff(22583,plain,
% 26.59/17.91 ((~v127(constB175, bitIndex1)) | v129(constB176, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22582, 1090, 22120])).
% 26.59/17.91 tff(22584,plain,
% 26.59/17.91 (v129(constB176, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22583, 22579])).
% 26.59/17.91 tff(22585,plain,
% 26.59/17.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~v129(constB176, bitIndex1)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~v129(constB176, bitIndex1)) | (~v100(constB176)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22586,plain,
% 26.59/17.91 ((v90(constB176, bitIndex1) | (~v100(constB176)) | (~v129(constB176, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~v129(constB176, bitIndex1)) | (~v100(constB176)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22587,plain,
% 26.59/17.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~v100(constB176)) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~v129(constB176, bitIndex1)) | (~v100(constB176))))),
% 26.59/17.91 inference(monotonicity,[status(thm)],[22586])).
% 26.59/17.91 tff(22588,plain,
% 26.59/17.91 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~v100(constB176)) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~v129(constB176, bitIndex1)) | (~v100(constB176)))),
% 26.59/17.91 inference(transitivity,[status(thm)],[22587, 22585])).
% 26.59/17.91 tff(22589,plain,
% 26.59/17.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~v100(constB176)) | (~v129(constB176, bitIndex1)))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22590,plain,
% 26.59/17.91 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~v129(constB176, bitIndex1)) | (~v100(constB176))),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22589, 22588])).
% 26.59/17.91 tff(22591,plain,
% 26.59/17.91 (v90(constB176, bitIndex1) | (~v100(constB176))),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22590, 1105, 22584])).
% 26.59/17.91 tff(22592,plain,
% 26.59/17.91 (v90(constB176, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22591, 22566])).
% 26.59/17.91 tff(22593,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex1))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22594,plain,
% 26.59/17.91 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex1)) | v100(constB177) | v90(constB177, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex1))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22595,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex1)) | v100(constB177) | v90(constB177, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex1)))),
% 26.59/17.91 inference(monotonicity,[status(thm)],[22594])).
% 26.59/17.91 tff(22596,plain,
% 26.59/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex1)) | v100(constB177) | v90(constB177, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex1))),
% 26.59/17.91 inference(transitivity,[status(thm)],[22595, 22593])).
% 26.59/17.91 tff(22597,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex1)) | v100(constB177) | v90(constB177, bitIndex1))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22598,plain,
% 26.59/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex1)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 26.59/17.91 tff(22599,plain,
% 26.59/17.91 ((~v90(constB176, bitIndex1)) | v100(constB177) | v90(constB177, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22598, 1123, 22188])).
% 26.59/17.91 tff(22600,plain,
% 26.59/17.91 ((~v90(constB176, bitIndex1)) | v90(constB177, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22599, 22200])).
% 26.59/17.91 tff(22601,plain,
% 26.59/17.91 (v90(constB177, bitIndex1)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22600, 22592])).
% 26.59/17.91 tff(22602,assumption,(~v90(constB177, bitIndex2)), introduced(assumption)).
% 26.59/17.91 tff(22603,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22604,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22605,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22604, 22603])).
% 26.59/17.91 tff(22606,plain,
% 26.59/17.91 (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v121(constB177)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22605, 1213, 22602])).
% 26.59/17.91 tff(22607,plain,
% 26.59/17.91 ($false),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22606, 22601, 22570, 22517])).
% 26.59/17.91 tff(22608,plain,(v26(constB175) | v121(constB177) | v90(constB177, bitIndex2) | v127(constB175, bitIndex2) | v127(constB175, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.91 tff(22609,plain,
% 26.59/17.91 (v121(constB177) | v90(constB177, bitIndex2) | v127(constB175, bitIndex2) | v127(constB175, bitIndex0)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22608, 22102])).
% 26.59/17.91 tff(22610,plain,
% 26.59/17.91 (v121(constB177)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22609, 22516, 22512, 22503])).
% 26.59/17.91 tff(22611,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB177)) | v117(constB177))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB177)) | v117(constB177))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22612,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB177)) | v117(constB177))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22613,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB177)) | v117(constB177)),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 26.59/17.91 tff(22614,plain,
% 26.59/17.91 (v117(constB177)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22613, 1224, 22610])).
% 26.59/17.91 tff(22615,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB177) | (~v117(constB177)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22616,plain,
% 26.59/17.91 (((~v117(constB177)) | v116(constB177)) <=> (v116(constB177) | (~v117(constB177)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22617,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB177) | (~v117(constB177))))),
% 26.59/17.91 inference(monotonicity,[status(thm)],[22616])).
% 26.59/17.91 tff(22618,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177)))),
% 26.59/17.91 inference(transitivity,[status(thm)],[22617, 22615])).
% 26.59/17.91 tff(22619,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB177)) | v116(constB177))),
% 26.59/17.91 inference(quant_inst,[status(thm)],[])).
% 26.59/17.91 tff(22620,plain,
% 26.59/17.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB177) | (~v117(constB177))),
% 26.59/17.91 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 26.59/17.91 tff(22621,plain,
% 26.59/17.91 (v116(constB177)),
% 26.59/17.91 inference(unit_resolution,[status(thm)],[22620, 476, 22614])).
% 26.59/17.91 tff(22622,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v116(constB177)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22623,plain,
% 26.59/17.91 (((~v116(constB177)) | v115(constB177)) <=> (v115(constB177) | (~v116(constB177)))),
% 26.59/17.91 inference(rewrite,[status(thm)],[])).
% 26.59/17.91 tff(22624,plain,
% 26.59/17.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v116(constB177))))),
% 26.59/17.92 inference(monotonicity,[status(thm)],[22623])).
% 26.59/17.92 tff(22625,plain,
% 26.59/17.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177)))),
% 26.59/17.92 inference(transitivity,[status(thm)],[22624, 22622])).
% 26.59/17.92 tff(22626,plain,
% 26.59/17.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB177)) | v115(constB177))),
% 26.59/17.92 inference(quant_inst,[status(thm)],[])).
% 26.59/17.92 tff(22627,plain,
% 26.59/17.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v116(constB177))),
% 26.59/17.92 inference(modus_ponens,[status(thm)],[22626, 22625])).
% 26.59/17.92 tff(22628,plain,
% 26.59/17.92 ($false),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22627, 490, 22621, 22379])).
% 26.59/17.92 tff(22629,plain,(v100(constB178) | v90(constB178, bitIndex2) | v90(constB178, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.92 tff(22630,plain,
% 26.59/17.92 (v90(constB178, bitIndex2)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22629, 22380, 22307])).
% 26.59/17.92 tff(22631,plain,
% 26.59/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22632,plain,
% 26.59/17.92 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2))) <=> (v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22633,plain,
% 26.59/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2))))),
% 26.59/17.92 inference(monotonicity,[status(thm)],[22632])).
% 26.59/17.92 tff(22634,plain,
% 26.59/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 26.59/17.92 inference(transitivity,[status(thm)],[22633, 22631])).
% 26.59/17.92 tff(22635,plain,
% 26.59/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 26.59/17.92 inference(quant_inst,[status(thm)],[])).
% 26.59/17.92 tff(22636,plain,
% 26.59/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2))),
% 26.59/17.92 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 26.59/17.92 tff(22637,plain,
% 26.59/17.92 (v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2))),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22636, 374, 22300])).
% 26.59/17.92 tff(22638,plain,
% 26.59/17.92 (v90(constB177, bitIndex2)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22637, 22630, 22307])).
% 26.59/17.92 tff(22639,plain,
% 26.59/17.92 (~v90(constB177, bitIndex0)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22391, 22380, 22307])).
% 26.59/17.92 tff(22640,assumption,(~v125(constB177)), introduced(assumption)).
% 26.59/17.92 tff(22641,plain,
% 26.59/17.92 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22642,plain,
% 26.59/17.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177))),
% 26.59/17.92 inference(quant_inst,[status(thm)],[])).
% 26.59/17.92 tff(22643,plain,
% 26.59/17.92 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177)),
% 26.59/17.92 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 26.59/17.92 tff(22644,plain,
% 26.59/17.92 (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2))),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22643, 2204, 22640])).
% 26.59/17.92 tff(22645,plain,
% 26.59/17.92 (~v90(constB177, bitIndex1)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22644, 22639, 22638])).
% 26.59/17.92 tff(22646,assumption,(~v123(constB177)), introduced(assumption)).
% 26.59/17.92 tff(22647,plain,
% 26.59/17.92 (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2))),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22280, 1727, 22646])).
% 26.59/17.92 tff(22648,plain,
% 26.59/17.92 ($false),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22647, 22645, 22639, 22638])).
% 26.59/17.92 tff(22649,plain,(v90(constB178, bitIndex0) | v123(constB177) | v125(constB177) | v100(constB178)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.92 tff(22650,plain,
% 26.59/17.92 (v123(constB177)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22649, 22384, 22380, 22307])).
% 26.59/17.92 tff(22651,plain,
% 26.59/17.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB177)) | v115(constB177))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22652,plain,
% 26.59/17.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))),
% 26.59/17.92 inference(quant_inst,[status(thm)],[])).
% 26.59/17.92 tff(22653,plain,
% 26.59/17.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB177)) | v115(constB177)),
% 26.59/17.92 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 26.59/17.92 tff(22654,plain,
% 26.59/17.92 ($false),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22653, 1784, 22650, 22379])).
% 26.59/17.92 tff(22655,plain,(v100(constB178) | v90(constB178, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.92 tff(22656,plain,
% 26.59/17.92 (v90(constB178, bitIndex0)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22655, 22307])).
% 26.59/17.92 tff(22657,plain,
% 26.59/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22658,plain,
% 26.59/17.92 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))) <=> (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22659,plain,
% 26.59/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))))),
% 26.59/17.92 inference(monotonicity,[status(thm)],[22658])).
% 26.59/17.92 tff(22660,plain,
% 26.59/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 26.59/17.92 inference(transitivity,[status(thm)],[22659, 22657])).
% 26.59/17.92 tff(22661,plain,
% 26.59/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 26.59/17.92 inference(quant_inst,[status(thm)],[])).
% 26.59/17.92 tff(22662,plain,
% 26.59/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 26.59/17.92 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 26.59/17.92 tff(22663,plain,
% 26.59/17.92 (v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22662, 416, 22300])).
% 26.59/17.92 tff(22664,plain,
% 26.59/17.92 ($false),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22663, 22656, 22307, 22306])).
% 26.59/17.92 tff(22665,plain,(v100(constB178) | v90(constB177, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.59/17.92 tff(22666,plain,
% 26.59/17.92 (v100(constB178)),
% 26.59/17.92 inference(unit_resolution,[status(thm)],[22665, 22277])).
% 26.59/17.92 tff(22667,plain,
% 26.59/17.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22668,plain,
% 26.59/17.92 (((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 26.59/17.92 inference(rewrite,[status(thm)],[])).
% 26.59/17.92 tff(22669,plain,
% 26.59/17.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))))),
% 26.59/17.92 inference(monotonicity,[status(thm)],[22668])).
% 26.59/17.92 tff(22670,plain,
% 26.59/17.92 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 26.66/17.92 inference(transitivity,[status(thm)],[22669, 22667])).
% 26.66/17.92 tff(22671,plain,
% 26.66/17.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22672,plain,
% 26.66/17.92 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22671, 22670])).
% 26.66/17.92 tff(22673,plain,
% 26.66/17.92 ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22672, 784, 22666])).
% 26.66/17.92 tff(22674,plain,
% 26.66/17.92 (~v90(constB178, bitIndex1)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22673, 22305])).
% 26.66/17.92 tff(22675,plain,
% 26.66/17.92 ((~v1(constB179)) <=> (~v1(constB179))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22676,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 26.66/17.92 tff(22677,plain,
% 26.66/17.92 (~v1(constB179)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22676, 22675])).
% 26.66/17.92 tff(22678,plain,
% 26.66/17.92 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22679,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 26.66/17.92 tff(22680,plain,
% 26.66/17.92 (nextState(constB178, constB179)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22679, 22678])).
% 26.66/17.92 tff(22681,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22682,plain,
% 26.66/17.92 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22683,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 26.66/17.92 inference(monotonicity,[status(thm)],[22682])).
% 26.66/17.92 tff(22684,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 26.66/17.92 inference(transitivity,[status(thm)],[22683, 22681])).
% 26.66/17.92 tff(22685,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22686,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22685, 22684])).
% 26.66/17.92 tff(22687,plain,
% 26.66/17.92 (~v101(constB179)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22686, 342, 22680, 22677])).
% 26.66/17.92 tff(22688,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22689,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22690,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22689, 22688])).
% 26.66/17.92 tff(22691,plain,
% 26.66/17.92 (v101(constB179) | (~v100(constB179))),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22690, 359, 22680])).
% 26.66/17.92 tff(22692,plain,
% 26.66/17.92 (~v100(constB179)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22691, 22687])).
% 26.66/17.92 tff(22693,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22694,plain,
% 26.66/17.92 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22695,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))))),
% 26.66/17.92 inference(monotonicity,[status(thm)],[22694])).
% 26.66/17.92 tff(22696,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 26.66/17.92 inference(transitivity,[status(thm)],[22695, 22693])).
% 26.66/17.92 tff(22697,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22698,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22697, 22696])).
% 26.66/17.92 tff(22699,plain,
% 26.66/17.92 (v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22698, 395, 22680])).
% 26.66/17.92 tff(22700,plain,
% 26.66/17.92 (v90(constB178, bitIndex1) | (~v90(constB179, bitIndex1))),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22699, 22692])).
% 26.66/17.92 tff(22701,plain,
% 26.66/17.92 (~v90(constB179, bitIndex1)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22700, 22674])).
% 26.66/17.92 tff(22702,plain,
% 26.66/17.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22703,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22704,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22703, 22702])).
% 26.66/17.92 tff(22705,plain,
% 26.66/17.92 (v130(constB177, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22704, 1738, 22281])).
% 26.66/17.92 tff(22706,plain,
% 26.66/17.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22707,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22708,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 26.66/17.92 tff(22709,plain,
% 26.66/17.92 ((~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22708, 1560, 22289])).
% 26.66/17.92 tff(22710,plain,
% 26.66/17.92 (v127(constB177, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22709, 22705])).
% 26.66/17.92 tff(22711,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22712,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22713,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 26.66/17.92 tff(22714,plain,
% 26.66/17.92 ((~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22713, 1575, 22300])).
% 26.66/17.92 tff(22715,plain,
% 26.66/17.92 (v129(constB178, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22714, 22710])).
% 26.66/17.92 tff(22716,plain,
% 26.66/17.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22717,plain,
% 26.66/17.92 ((v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22718,plain,
% 26.66/17.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))))),
% 26.66/17.92 inference(monotonicity,[status(thm)],[22717])).
% 26.66/17.92 tff(22719,plain,
% 26.66/17.92 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 26.66/17.92 inference(transitivity,[status(thm)],[22718, 22716])).
% 26.66/17.92 tff(22720,plain,
% 26.66/17.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22721,plain,
% 26.66/17.92 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22720, 22719])).
% 26.66/17.92 tff(22722,plain,
% 26.66/17.92 (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2))),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22721, 1590, 22666])).
% 26.66/17.92 tff(22723,plain,
% 26.66/17.92 (v90(constB178, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22722, 22715])).
% 26.66/17.92 tff(22724,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22725,plain,
% 26.66/17.92 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22726,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)))),
% 26.66/17.92 inference(monotonicity,[status(thm)],[22725])).
% 26.66/17.92 tff(22727,plain,
% 26.66/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 26.66/17.92 inference(transitivity,[status(thm)],[22726, 22724])).
% 26.66/17.92 tff(22728,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22729,plain,
% 26.66/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22728, 22727])).
% 26.66/17.92 tff(22730,plain,
% 26.66/17.92 ((~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22729, 1626, 22680])).
% 26.66/17.92 tff(22731,plain,
% 26.66/17.92 ((~v90(constB178, bitIndex2)) | v90(constB179, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22730, 22692])).
% 26.66/17.92 tff(22732,plain,
% 26.66/17.92 (v90(constB179, bitIndex2)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22731, 22723])).
% 26.66/17.92 tff(22733,plain,
% 26.66/17.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB177)) | v90(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB177)) | v90(constB177, bitIndex0))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22734,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v124(constB177)) | v90(constB177, bitIndex0))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22735,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v124(constB177)) | v90(constB177, bitIndex0)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 26.66/17.92 tff(22736,plain,
% 26.66/17.92 (~v124(constB177)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22735, 5828, 22306])).
% 26.66/17.92 tff(22737,assumption,(~v130(constB177, bitIndex0)), introduced(assumption)).
% 26.66/17.92 tff(22738,plain,
% 26.66/17.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB177)) | v130(constB177, bitIndex0))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22739,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB177)) | v130(constB177, bitIndex0))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22740,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB177)) | v130(constB177, bitIndex0)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22739, 22738])).
% 26.66/17.92 tff(22741,plain,
% 26.66/17.92 (~v121(constB177)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22740, 1413, 22737])).
% 26.66/17.92 tff(22742,plain,
% 26.66/17.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.92 tff(22743,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))),
% 26.66/17.92 inference(quant_inst,[status(thm)],[])).
% 26.66/17.92 tff(22744,plain,
% 26.66/17.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0)),
% 26.66/17.92 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 26.66/17.92 tff(22745,plain,
% 26.66/17.92 (~v123(constB177)),
% 26.66/17.92 inference(unit_resolution,[status(thm)],[22744, 1934, 22737])).
% 26.66/17.92 tff(22746,plain,
% 26.66/17.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB177)) | v130(constB177, bitIndex0))),
% 26.66/17.92 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22747,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB177)) | v130(constB177, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22748,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB177)) | v130(constB177, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 26.66/17.93 tff(22749,plain,
% 26.66/17.93 (~v119(constB177)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22748, 808, 22737])).
% 26.66/17.93 tff(22750,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB177)) | v90(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB177)) | v90(constB177, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22751,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB177)) | v90(constB177, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22752,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB177)) | v90(constB177, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 26.66/17.93 tff(22753,plain,
% 26.66/17.93 (~v122(constB177)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22752, 5817, 22306])).
% 26.66/17.93 tff(22754,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB177)) | v90(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB177)) | v90(constB177, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22755,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v120(constB177)) | v90(constB177, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22756,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v120(constB177)) | v90(constB177, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22755, 22754])).
% 26.66/17.93 tff(22757,plain,
% 26.66/17.93 (~v120(constB177)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22756, 5806, 22306])).
% 26.66/17.93 tff(22758,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22759,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22760,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22759, 22758])).
% 26.66/17.93 tff(22761,plain,
% 26.66/17.93 (v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22760, 2459, 22737])).
% 26.66/17.93 tff(22762,plain,
% 26.66/17.93 ($false),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22761, 22757, 22753, 22749, 22745, 22741, 22736])).
% 26.66/17.93 tff(22763,plain,(v90(constB177, bitIndex0) | v130(constB177, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.93 tff(22764,plain,
% 26.66/17.93 (v130(constB177, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22763, 22277])).
% 26.66/17.93 tff(22765,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22766,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22767,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22766, 22765])).
% 26.66/17.93 tff(22768,plain,
% 26.66/17.93 ((~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22767, 822, 22289])).
% 26.66/17.93 tff(22769,plain,
% 26.66/17.93 (v127(constB177, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22768, 22764])).
% 26.66/17.93 tff(22770,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22771,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22772,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22771, 22770])).
% 26.66/17.93 tff(22773,plain,
% 26.66/17.93 ((~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22772, 837, 22300])).
% 26.66/17.93 tff(22774,plain,
% 26.66/17.93 (v129(constB178, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22773, 22769])).
% 26.66/17.93 tff(22775,plain,
% 26.66/17.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22776,plain,
% 26.66/17.93 ((v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22777,plain,
% 26.66/17.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22776])).
% 26.66/17.93 tff(22778,plain,
% 26.66/17.93 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22777, 22775])).
% 26.66/17.93 tff(22779,plain,
% 26.66/17.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22780,plain,
% 26.66/17.93 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22779, 22778])).
% 26.66/17.93 tff(22781,plain,
% 26.66/17.93 (v90(constB178, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22780, 852, 22666, 22774])).
% 26.66/17.93 tff(22782,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22783,plain,
% 26.66/17.93 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22784,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22783])).
% 26.66/17.93 tff(22785,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22784, 22782])).
% 26.66/17.93 tff(22786,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22787,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22786, 22785])).
% 26.66/17.93 tff(22788,plain,
% 26.66/17.93 ((~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22787, 870, 22680])).
% 26.66/17.93 tff(22789,plain,
% 26.66/17.93 ((~v90(constB178, bitIndex0)) | v90(constB179, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22788, 22692])).
% 26.66/17.93 tff(22790,plain,
% 26.66/17.93 (v90(constB179, bitIndex0)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22789, 22781])).
% 26.66/17.93 tff(22791,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22792,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22793,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 26.66/17.93 tff(22794,plain,
% 26.66/17.93 (v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22793, 1975, 22790])).
% 26.66/17.93 tff(22795,plain,
% 26.66/17.93 (v124(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22794, 22732, 22701])).
% 26.66/17.93 tff(22796,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB179) | (~v124(constB179)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v124(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22797,plain,
% 26.66/17.93 (((~v124(constB179)) | v114(constB179)) <=> (v114(constB179) | (~v124(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22798,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB179) | (~v124(constB179))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22797])).
% 26.66/17.93 tff(22799,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v124(constB179)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22798, 22796])).
% 26.66/17.93 tff(22800,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22801,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB179) | (~v124(constB179))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 26.66/17.93 tff(22802,plain,
% 26.66/17.93 (v114(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22801, 1986, 22795])).
% 26.66/17.93 tff(22803,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22804,plain,
% 26.66/17.93 (((~v114(constB179)) | v113(constB179)) <=> (v113(constB179) | (~v114(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22805,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22804])).
% 26.66/17.93 tff(22806,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22805, 22803])).
% 26.66/17.93 tff(22807,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22808,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22807, 22806])).
% 26.66/17.93 tff(22809,plain,
% 26.66/17.93 (v113(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22808, 518, 22802])).
% 26.66/17.93 tff(22810,assumption,(~v108(constB179)), introduced(assumption)).
% 26.66/17.93 tff(22811,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22812,plain,
% 26.66/17.93 (((~v112(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v112(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22813,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22812])).
% 26.66/17.93 tff(22814,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22813, 22811])).
% 26.66/17.93 tff(22815,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22816,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 26.66/17.93 tff(22817,plain,
% 26.66/17.93 (~v112(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22816, 544, 22810])).
% 26.66/17.93 tff(22818,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v26(constB179)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v26(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22819,plain,
% 26.66/17.93 (((~v26(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v26(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22820,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v26(constB179))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22819])).
% 26.66/17.93 tff(22821,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v26(constB179)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22820, 22818])).
% 26.66/17.93 tff(22822,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB179)) | v108(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22823,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v26(constB179))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 26.66/17.93 tff(22824,plain,
% 26.66/17.93 (~v26(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22823, 1770, 22810])).
% 26.66/17.93 tff(22825,assumption,(v113(constB179)), introduced(assumption)).
% 26.66/17.93 tff(22826,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22827,plain,
% 26.66/17.93 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22828,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22827])).
% 26.66/17.93 tff(22829,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22828, 22826])).
% 26.66/17.93 tff(22830,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22831,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22830, 22829])).
% 26.66/17.93 tff(22832,plain,
% 26.66/17.93 (v26(constB179) | v112(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22831, 532, 22825])).
% 26.66/17.93 tff(22833,plain,
% 26.66/17.93 ($false),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22832, 22824, 22817])).
% 26.66/17.93 tff(22834,plain,(v108(constB179) | (~v113(constB179))), inference(lemma,lemma(discharge,[]))).
% 26.66/17.93 tff(22835,plain,
% 26.66/17.93 (v108(constB179)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22834, 22809])).
% 26.66/17.93 tff(22836,plain,
% 26.66/17.93 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22837,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 26.66/17.93 tff(22838,plain,
% 26.66/17.93 (nextState(constB179, constB180)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 26.66/17.93 tff(22839,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22840,plain,
% 26.66/17.93 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22841,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22840])).
% 26.66/17.93 tff(22842,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22841, 22839])).
% 26.66/17.93 tff(22843,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22844,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22843, 22842])).
% 26.66/17.93 tff(22845,plain,
% 26.66/17.93 (v110(constB180) | (~v108(constB179))),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22844, 564, 22838])).
% 26.66/17.93 tff(22846,plain,
% 26.66/17.93 (v110(constB180)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22845, 22835])).
% 26.66/17.93 tff(22847,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22848,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22849,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22848, 22847])).
% 26.66/17.93 tff(22850,plain,
% 26.66/17.93 (~v104(constB180)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22849, 582, 22838, 22677])).
% 26.66/17.93 tff(22851,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22852,plain,
% 26.66/17.93 (((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22853,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22852])).
% 26.66/17.93 tff(22854,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22853, 22851])).
% 26.66/17.93 tff(22855,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22856,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | v102(constB180)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22855, 22854])).
% 26.66/17.93 tff(22857,plain,
% 26.66/17.93 (v104(constB180) | v102(constB180)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22856, 596, 22838])).
% 26.66/17.93 tff(22858,plain,
% 26.66/17.93 (v102(constB180)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22857, 22850])).
% 26.66/17.93 tff(22859,plain,
% 26.66/17.93 (v1(constB180) <=> v1(constB180)),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22860,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 26.66/17.93 tff(22861,plain,
% 26.66/17.93 (v1(constB180)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22860, 22859])).
% 26.66/17.93 tff(22862,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22863,plain,
% 26.66/17.93 (((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))) <=> ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22864,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22863])).
% 26.66/17.93 tff(22865,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22864, 22862])).
% 26.66/17.93 tff(22866,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22867,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | (~v1(constB180)) | v101(constB180) | (~v102(constB180))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 26.66/17.93 tff(22868,plain,
% 26.66/17.93 (v101(constB180) | (~v102(constB180))),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22867, 617, 22838, 22861])).
% 26.66/17.93 tff(22869,plain,
% 26.66/17.93 (v101(constB180)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22868, 22858])).
% 26.66/17.93 tff(22870,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22871,plain,
% 26.66/17.93 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22872,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 26.66/17.93 inference(monotonicity,[status(thm)],[22871])).
% 26.66/17.93 tff(22873,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 26.66/17.93 inference(transitivity,[status(thm)],[22872, 22870])).
% 26.66/17.93 tff(22874,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22875,plain,
% 26.66/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22874, 22873])).
% 26.66/17.93 tff(22876,plain,
% 26.66/17.93 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22875, 635, 22838])).
% 26.66/17.93 tff(22877,plain,
% 26.66/17.93 (v100(constB180) | (~v110(constB180))),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22876, 22869])).
% 26.66/17.93 tff(22878,plain,
% 26.66/17.93 (v100(constB180)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22877, 22846])).
% 26.66/17.93 tff(22879,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22880,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22881,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22880, 22879])).
% 26.66/17.93 tff(22882,plain,
% 26.66/17.93 (v130(constB179, bitIndex1)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22881, 2122, 22795])).
% 26.66/17.93 tff(22883,assumption,(v26(constB179)), introduced(assumption)).
% 26.66/17.93 tff(22884,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22885,plain,
% 26.66/17.93 ($false),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22884, 120, 22883])).
% 26.66/17.93 tff(22886,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.93 tff(22887,plain,
% 26.66/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 26.66/17.93 inference(rewrite,[status(thm)],[])).
% 26.66/17.93 tff(22888,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 26.66/17.93 inference(quant_inst,[status(thm)],[])).
% 26.66/17.93 tff(22889,plain,
% 26.66/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 26.66/17.93 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 26.66/17.93 tff(22890,plain,
% 26.66/17.93 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22889, 1075, 22886])).
% 26.66/17.93 tff(22891,plain,
% 26.66/17.93 (v127(constB179, bitIndex1)),
% 26.66/17.93 inference(unit_resolution,[status(thm)],[22890, 22882])).
% 26.66/17.93 tff(22892,plain,
% 26.66/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22893,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22894,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22893, 22892])).
% 26.66/17.94 tff(22895,plain,
% 26.66/17.94 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22894, 1090, 22838])).
% 26.66/17.94 tff(22896,plain,
% 26.66/17.94 (v129(constB180, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22895, 22891])).
% 26.66/17.94 tff(22897,plain,
% 26.66/17.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22898,plain,
% 26.66/17.94 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22899,plain,
% 26.66/17.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22898])).
% 26.66/17.94 tff(22900,plain,
% 26.66/17.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22899, 22897])).
% 26.66/17.94 tff(22901,plain,
% 26.66/17.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22902,plain,
% 26.66/17.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 26.66/17.94 tff(22903,plain,
% 26.66/17.94 (v90(constB180, bitIndex1) | (~v100(constB180))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22902, 1105, 22896])).
% 26.66/17.94 tff(22904,plain,
% 26.66/17.94 (v90(constB180, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22903, 22878])).
% 26.66/17.94 tff(22905,plain,
% 26.66/17.94 ((~v1(constB181)) <=> (~v1(constB181))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22906,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 26.66/17.94 tff(22907,plain,
% 26.66/17.94 (~v1(constB181)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 26.66/17.94 tff(22908,plain,
% 26.66/17.94 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22909,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 26.66/17.94 tff(22910,plain,
% 26.66/17.94 (nextState(constB180, constB181)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 26.66/17.94 tff(22911,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22912,plain,
% 26.66/17.94 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22913,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22912])).
% 26.66/17.94 tff(22914,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22913, 22911])).
% 26.66/17.94 tff(22915,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22916,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 26.66/17.94 tff(22917,plain,
% 26.66/17.94 (~v101(constB181)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22916, 342, 22910, 22907])).
% 26.66/17.94 tff(22918,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22919,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22920,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 26.66/17.94 tff(22921,plain,
% 26.66/17.94 (v101(constB181) | (~v100(constB181))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22920, 359, 22910])).
% 26.66/17.94 tff(22922,plain,
% 26.66/17.94 (~v100(constB181)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22921, 22917])).
% 26.66/17.94 tff(22923,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22924,plain,
% 26.66/17.94 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22925,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22924])).
% 26.66/17.94 tff(22926,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22925, 22923])).
% 26.66/17.94 tff(22927,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22928,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22927, 22926])).
% 26.66/17.94 tff(22929,plain,
% 26.66/17.94 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22928, 1123, 22910])).
% 26.66/17.94 tff(22930,plain,
% 26.66/17.94 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22929, 22922])).
% 26.66/17.94 tff(22931,plain,
% 26.66/17.94 (v90(constB181, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22930, 22904])).
% 26.66/17.94 tff(22932,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22933,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22934,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22933, 22932])).
% 26.66/17.94 tff(22935,plain,
% 26.66/17.94 (v88(constB181, bitIndex1)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22934, 8034, 22931])).
% 26.66/17.94 tff(22936,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22937,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22938,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22937, 22936])).
% 26.66/17.94 tff(22939,plain,
% 26.66/17.94 (v130(constB179, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22938, 2066, 22795])).
% 26.66/17.94 tff(22940,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22941,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22942,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22941, 22940])).
% 26.66/17.94 tff(22943,plain,
% 26.66/17.94 ((~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22942, 1560, 22886])).
% 26.66/17.94 tff(22944,plain,
% 26.66/17.94 (v127(constB179, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22943, 22939])).
% 26.66/17.94 tff(22945,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22946,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22947,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 26.66/17.94 tff(22948,plain,
% 26.66/17.94 ((~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22947, 1575, 22838])).
% 26.66/17.94 tff(22949,plain,
% 26.66/17.94 (v129(constB180, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22948, 22944])).
% 26.66/17.94 tff(22950,plain,
% 26.66/17.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22951,plain,
% 26.66/17.94 ((v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22952,plain,
% 26.66/17.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22951])).
% 26.66/17.94 tff(22953,plain,
% 26.66/17.94 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22952, 22950])).
% 26.66/17.94 tff(22954,plain,
% 26.66/17.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22955,plain,
% 26.66/17.94 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22954, 22953])).
% 26.66/17.94 tff(22956,plain,
% 26.66/17.94 (v90(constB180, bitIndex2) | (~v100(constB180))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22955, 1590, 22949])).
% 26.66/17.94 tff(22957,plain,
% 26.66/17.94 (v90(constB180, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22956, 22878])).
% 26.66/17.94 tff(22958,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22959,plain,
% 26.66/17.94 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22960,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22959])).
% 26.66/17.94 tff(22961,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22960, 22958])).
% 26.66/17.94 tff(22962,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22963,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22962, 22961])).
% 26.66/17.94 tff(22964,plain,
% 26.66/17.94 ((~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22963, 1626, 22910])).
% 26.66/17.94 tff(22965,plain,
% 26.66/17.94 ((~v90(constB180, bitIndex2)) | v90(constB181, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22964, 22922])).
% 26.66/17.94 tff(22966,plain,
% 26.66/17.94 (v90(constB181, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22965, 22957])).
% 26.66/17.94 tff(22967,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22968,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22969,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB181, bitIndex2)) | v88(constB181, bitIndex2)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 26.66/17.94 tff(22970,plain,
% 26.66/17.94 (v88(constB181, bitIndex2)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22969, 7992, 22966])).
% 26.66/17.94 tff(22971,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22972,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22973,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 26.66/17.94 tff(22974,plain,
% 26.66/17.94 (~v130(constB179, bitIndex0)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22973, 2160, 22795])).
% 26.66/17.94 tff(22975,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22976,plain,
% 26.66/17.94 ((v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0))) <=> ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22977,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22976])).
% 26.66/17.94 tff(22978,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22977, 22975])).
% 26.66/17.94 tff(22979,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22980,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 26.66/17.94 tff(22981,plain,
% 26.66/17.94 ((~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22980, 1153, 22886])).
% 26.66/17.94 tff(22982,plain,
% 26.66/17.94 (~v127(constB179, bitIndex0)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22981, 22974])).
% 26.66/17.94 tff(22983,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22984,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22985,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 26.66/17.94 tff(22986,plain,
% 26.66/17.94 (v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22985, 1171, 22838])).
% 26.66/17.94 tff(22987,plain,
% 26.66/17.94 (~v129(constB180, bitIndex0)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22986, 22982])).
% 26.66/17.94 tff(22988,plain,
% 26.66/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22989,plain,
% 26.66/17.94 (((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22990,plain,
% 26.66/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22989])).
% 26.66/17.94 tff(22991,plain,
% 26.66/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22990, 22988])).
% 26.66/17.94 tff(22992,plain,
% 26.66/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(22993,plain,
% 26.66/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 26.66/17.94 tff(22994,plain,
% 26.66/17.94 ((~v90(constB180, bitIndex0)) | (~v100(constB180))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22993, 1186, 22987])).
% 26.66/17.94 tff(22995,plain,
% 26.66/17.94 (~v90(constB180, bitIndex0)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[22994, 22878])).
% 26.66/17.94 tff(22996,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22997,plain,
% 26.66/17.94 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(22998,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))))),
% 26.66/17.94 inference(monotonicity,[status(thm)],[22997])).
% 26.66/17.94 tff(22999,plain,
% 26.66/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 26.66/17.94 inference(transitivity,[status(thm)],[22998, 22996])).
% 26.66/17.94 tff(23000,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(23001,plain,
% 26.66/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 26.66/17.94 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 26.66/17.94 tff(23002,plain,
% 26.66/17.94 (v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[23001, 416, 22910])).
% 26.66/17.94 tff(23003,plain,
% 26.66/17.94 (v90(constB180, bitIndex0) | (~v90(constB181, bitIndex0))),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[23002, 22922])).
% 26.66/17.94 tff(23004,plain,
% 26.66/17.94 (~v90(constB181, bitIndex0)),
% 26.66/17.94 inference(unit_resolution,[status(thm)],[23003, 22995])).
% 26.66/17.94 tff(23005,plain,
% 26.66/17.94 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB181, bitIndex0)) | v90(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB181, bitIndex0)) | v90(constB181, bitIndex0))),
% 26.66/17.94 inference(rewrite,[status(thm)],[])).
% 26.66/17.94 tff(23006,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB181, bitIndex0)) | v90(constB181, bitIndex0))),
% 26.66/17.94 inference(quant_inst,[status(thm)],[])).
% 26.66/17.94 tff(23007,plain,
% 26.66/17.94 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB181, bitIndex0)) | v90(constB181, bitIndex0)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 26.66/17.95 tff(23008,plain,
% 26.66/17.95 (~v88(constB181, bitIndex0)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23007, 7950, 23004])).
% 26.66/17.95 tff(23009,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23010,plain,
% 26.66/17.95 (((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181)) <=> ((~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23011,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23010])).
% 26.66/17.95 tff(23012,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0))),
% 26.66/17.95 inference(transitivity,[status(thm)],[23011, 23009])).
% 26.66/17.95 tff(23013,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v144(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23014,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB181, bitIndex2)) | v144(constB181) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 26.66/17.95 tff(23015,plain,
% 26.66/17.95 (v144(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23014, 8048, 23008, 22970, 22935])).
% 26.66/17.95 tff(23016,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB181)) | v142(constB181))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23017,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23018,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB181)) | v142(constB181)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23017, 23016])).
% 26.66/17.95 tff(23019,plain,
% 26.66/17.95 (v142(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23018, 8062, 23015])).
% 26.66/17.95 tff(23020,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB181)) | v148(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB181)) | v148(constB181))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23021,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB181)) | v148(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23022,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB181)) | v148(constB181)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 26.66/17.95 tff(23023,plain,
% 26.66/17.95 (v148(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23022, 20023, 23019])).
% 26.66/17.95 tff(23024,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl(((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1))))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23025,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23024])).
% 26.66/17.95 tff(23026,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23027,axiom,(![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_3')).
% 26.66/17.95 tff(23028,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23027, 23026])).
% 26.66/17.95 tff(23029,plain,(
% 26.66/17.95 ![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23028])).
% 26.66/17.95 tff(23030,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23029, 23025])).
% 26.66/17.95 tff(23031,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v146(constB181)) | (~v88(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v146(constB181)) | (~v88(constB181, bitIndex1)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23032,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | ((~v146(constB181)) | (~v88(constB181, bitIndex1)))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23033,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | (~v88(VarCurr, bitIndex1)))) | (~v146(constB181)) | (~v88(constB181, bitIndex1))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23032, 23031])).
% 26.66/17.95 tff(23034,plain,
% 26.66/17.95 (~v146(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23033, 23030, 22935])).
% 26.66/17.95 tff(23035,assumption,(~v88(constB181, bitIndex0)), introduced(assumption)).
% 26.66/17.95 tff(23036,assumption,(~v167(constB181)), introduced(assumption)).
% 26.66/17.95 tff(23037,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl(((~v168(VarCurr)) | v167(VarCurr)) <=> ((~v168(VarCurr)) | v167(VarCurr)))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23038,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23037])).
% 26.66/17.95 tff(23039,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23040,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 26.66/17.95 tff(23041,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23040, 23039])).
% 26.66/17.95 tff(23042,plain,(
% 26.66/17.95 ![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23041])).
% 26.66/17.95 tff(23043,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23042, 23038])).
% 26.66/17.95 tff(23044,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB181) | (~v168(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23045,plain,
% 26.66/17.95 (((~v168(constB181)) | v167(constB181)) <=> (v167(constB181) | (~v168(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23046,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB181)) | v167(constB181))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB181) | (~v168(constB181))))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23045])).
% 26.66/17.95 tff(23047,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB181)) | v167(constB181))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB181) | (~v168(constB181)))),
% 26.66/17.95 inference(transitivity,[status(thm)],[23046, 23044])).
% 26.66/17.95 tff(23048,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB181)) | v167(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23049,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB181) | (~v168(constB181))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23048, 23047])).
% 26.66/17.95 tff(23050,plain,
% 26.66/17.95 (~v168(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23049, 23043, 23036])).
% 26.66/17.95 tff(23051,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl((v168(VarCurr) | (~v169(VarCurr))) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23052,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23051])).
% 26.66/17.95 tff(23053,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23054,plain,
% 26.66/17.95 (^[VarCurr: state_type] : rewrite(((~v169(VarCurr)) | v168(VarCurr)) <=> (v168(VarCurr) | (~v169(VarCurr))))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23055,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v169(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23054])).
% 26.66/17.95 tff(23056,axiom,(![VarCurr: state_type] : ((~v169(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_1')).
% 26.66/17.95 tff(23057,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23056, 23055])).
% 26.66/17.95 tff(23058,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23057, 23053])).
% 26.66/17.95 tff(23059,plain,(
% 26.66/17.95 ![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23058])).
% 26.66/17.95 tff(23060,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23059, 23052])).
% 26.66/17.95 tff(23061,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB181) | (~v169(constB181)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB181) | (~v169(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23062,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB181) | (~v169(constB181)))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23063,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB181) | (~v169(constB181))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 26.66/17.95 tff(23064,plain,
% 26.66/17.95 (~v169(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23063, 23060, 23050])).
% 26.66/17.95 tff(23065,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB181)) | v167(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB181)) | v167(constB181))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23066,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB181)) | v167(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23067,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB181)) | v167(constB181)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 26.66/17.95 tff(23068,plain,
% 26.66/17.95 (~v142(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23067, 8073, 23036])).
% 26.66/17.95 tff(23069,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23070,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23069])).
% 26.66/17.95 tff(23071,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23072,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 26.66/17.95 tff(23073,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23072, 23071])).
% 26.66/17.95 tff(23074,plain,(
% 26.66/17.95 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23073])).
% 26.66/17.95 tff(23075,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23074, 23070])).
% 26.66/17.95 tff(23076,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB181) | (~v143(constB181)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB181) | (~v143(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23077,plain,
% 26.66/17.95 (((~v143(constB181)) | v142(constB181)) <=> (v142(constB181) | (~v143(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23078,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB181) | (~v143(constB181))))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23077])).
% 26.66/17.95 tff(23079,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB181) | (~v143(constB181)))),
% 26.66/17.95 inference(transitivity,[status(thm)],[23078, 23076])).
% 26.66/17.95 tff(23080,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB181)) | v142(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23081,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB181) | (~v143(constB181))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23080, 23079])).
% 26.66/17.95 tff(23082,plain,
% 26.66/17.95 (~v143(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23081, 23075, 23068])).
% 26.66/17.95 tff(23083,assumption,(~v88(constB181, bitIndex2)), introduced(assumption)).
% 26.66/17.95 tff(23084,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23085,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23084])).
% 26.66/17.95 tff(23086,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23087,plain,
% 26.66/17.95 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23088,plain,
% 26.66/17.95 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23087])).
% 26.66/17.95 tff(23089,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1))) | v143(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 26.66/17.95 tff(23090,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 26.66/17.95 tff(23091,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23090, 23086])).
% 26.66/17.95 tff(23092,plain,(
% 26.66/17.95 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23091])).
% 26.66/17.95 tff(23093,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23092, 23085])).
% 26.66/17.95 tff(23094,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v143(constB181))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v143(constB181))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23095,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v143(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23096,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v143(constB181)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 26.66/17.95 tff(23097,plain,
% 26.66/17.95 ((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0) | v143(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23096, 23093, 23083])).
% 26.66/17.95 tff(23098,plain,
% 26.66/17.95 (~v88(constB181, bitIndex1)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23097, 23082, 23035])).
% 26.66/17.95 tff(23099,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23100,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23099])).
% 26.66/17.95 tff(23101,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23102,plain,
% 26.66/17.95 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23103,plain,
% 26.66/17.95 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23102])).
% 26.66/17.95 tff(23104,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex2)) | v139(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 26.66/17.95 tff(23105,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 26.66/17.95 tff(23106,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23105, 23101])).
% 26.66/17.95 tff(23107,plain,(
% 26.66/17.95 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23106])).
% 26.66/17.95 tff(23108,plain,
% 26.66/17.95 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23107, 23100])).
% 26.66/17.95 tff(23109,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v139(constB181))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v139(constB181))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23110,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v139(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23111,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB181, bitIndex2) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v139(constB181)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23110, 23109])).
% 26.66/17.95 tff(23112,plain,
% 26.66/17.95 (v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v139(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23111, 23108, 23083])).
% 26.66/17.95 tff(23113,plain,
% 26.66/17.95 (v139(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23112, 23098, 23035])).
% 26.66/17.95 tff(23114,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v169(VarCurr)) <=> ((~v139(VarCurr)) | v169(VarCurr)))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23115,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23114])).
% 26.66/17.95 tff(23116,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23117,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_2')).
% 26.66/17.95 tff(23118,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 26.66/17.95 tff(23119,plain,(
% 26.66/17.95 ![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23118])).
% 26.66/17.95 tff(23120,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23119, 23115])).
% 26.66/17.95 tff(23121,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB181) | (~v139(constB181)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB181) | (~v139(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23122,plain,
% 26.66/17.95 (((~v139(constB181)) | v169(constB181)) <=> (v169(constB181) | (~v139(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23123,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB181)) | v169(constB181))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB181) | (~v139(constB181))))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23122])).
% 26.66/17.95 tff(23124,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB181)) | v169(constB181))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB181) | (~v139(constB181)))),
% 26.66/17.95 inference(transitivity,[status(thm)],[23123, 23121])).
% 26.66/17.95 tff(23125,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB181)) | v169(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23126,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB181) | (~v139(constB181))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23125, 23124])).
% 26.66/17.95 tff(23127,plain,
% 26.66/17.95 ($false),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23126, 23120, 23113, 23064])).
% 26.66/17.95 tff(23128,plain,(v167(constB181) | v88(constB181, bitIndex0) | v88(constB181, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.95 tff(23129,plain,
% 26.66/17.95 (v88(constB181, bitIndex2)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23128, 23035, 23036])).
% 26.66/17.95 tff(23130,assumption,(~v146(constB181)), introduced(assumption)).
% 26.66/17.95 tff(23131,plain,
% 26.66/17.95 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23132,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23131])).
% 26.66/17.95 tff(23133,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23134,plain,
% 26.66/17.95 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr)) <=> (((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v146(VarCurr)))), rewrite((((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0)) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))), ((((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))))),
% 26.66/17.95 inference(bind,[status(th)],[])).
% 26.66/17.95 tff(23135,plain,
% 26.66/17.95 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(quant_intro,[status(thm)],[23134])).
% 26.66/17.95 tff(23136,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))) | v146(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 26.66/17.95 tff(23137,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23136, 23135])).
% 26.66/17.95 tff(23138,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23137, 23133])).
% 26.66/17.95 tff(23139,plain,(
% 26.66/17.95 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(skolemize,[status(sab)],[23138])).
% 26.66/17.95 tff(23140,plain,
% 26.66/17.95 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23139, 23132])).
% 26.66/17.95 tff(23141,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB181, bitIndex2)) | v146(constB181) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB181, bitIndex2)) | v146(constB181) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23142,plain,
% 26.66/17.95 (((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v146(constB181)) <=> ((~v88(constB181, bitIndex2)) | v146(constB181) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23143,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v146(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB181, bitIndex2)) | v146(constB181) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0)))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23142])).
% 26.66/17.95 tff(23144,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v146(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB181, bitIndex2)) | v146(constB181) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0))),
% 26.66/17.95 inference(transitivity,[status(thm)],[23143, 23141])).
% 26.66/17.95 tff(23145,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0) | v146(constB181))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23146,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB181, bitIndex2)) | v146(constB181) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23145, 23144])).
% 26.66/17.95 tff(23147,plain,
% 26.66/17.95 ((~v88(constB181, bitIndex2)) | v88(constB181, bitIndex1) | v88(constB181, bitIndex0)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23146, 23140, 23130])).
% 26.66/17.95 tff(23148,plain,
% 26.66/17.95 (v88(constB181, bitIndex1)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23147, 23129, 23035])).
% 26.66/17.95 tff(23149,plain,
% 26.66/17.95 (~v144(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23018, 8062, 23068])).
% 26.66/17.95 tff(23150,plain,
% 26.66/17.95 ((~v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex0)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23014, 8048, 23149])).
% 26.66/17.95 tff(23151,plain,
% 26.66/17.95 ($false),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23150, 23148, 23129, 23035])).
% 26.66/17.95 tff(23152,plain,(v88(constB181, bitIndex0) | v146(constB181) | v167(constB181)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.95 tff(23153,plain,
% 26.66/17.95 (v167(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23152, 23034, 23008])).
% 26.66/17.95 tff(23154,assumption,(v167(constB181)), introduced(assumption)).
% 26.66/17.95 tff(23155,assumption,(~v166(constB181)), introduced(assumption)).
% 26.66/17.95 tff(23156,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB181) | (~v167(constB181)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB181) | (~v167(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23157,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB181) | (~v167(constB181)))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23158,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB181) | (~v167(constB181))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23157, 23156])).
% 26.66/17.95 tff(23159,plain,
% 26.66/17.95 ($false),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23158, 8098, 23155, 23154])).
% 26.66/17.95 tff(23160,plain,((~v167(constB181)) | v166(constB181)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.95 tff(23161,plain,
% 26.66/17.95 (v166(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23160, 23153])).
% 26.66/17.95 tff(23162,plain,
% 26.66/17.95 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB181) | (~v166(constB181)) | (~v148(constB181)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB181) | (~v166(constB181)) | (~v148(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23163,plain,
% 26.66/17.95 (((~v148(constB181)) | v86(constB181) | (~v166(constB181))) <=> (v86(constB181) | (~v166(constB181)) | (~v148(constB181)))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23164,plain,
% 26.66/17.95 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB181)) | v86(constB181) | (~v166(constB181)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB181) | (~v166(constB181)) | (~v148(constB181))))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23163])).
% 26.66/17.95 tff(23165,plain,
% 26.66/17.95 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB181)) | v86(constB181) | (~v166(constB181)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB181) | (~v166(constB181)) | (~v148(constB181)))),
% 26.66/17.95 inference(transitivity,[status(thm)],[23164, 23162])).
% 26.66/17.95 tff(23166,plain,
% 26.66/17.95 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB181)) | v86(constB181) | (~v166(constB181)))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23167,plain,
% 26.66/17.95 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB181) | (~v166(constB181)) | (~v148(constB181))),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23166, 23165])).
% 26.66/17.95 tff(23168,plain,
% 26.66/17.95 (v86(constB181) | (~v148(constB181))),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23167, 20040, 23161])).
% 26.66/17.95 tff(23169,plain,
% 26.66/17.95 (v86(constB181)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23168, 23023])).
% 26.66/17.95 tff(23170,plain,
% 26.66/17.95 ($false),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23169, 21448])).
% 26.66/17.95 tff(23171,plain,(~(constB181 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.95 tff(23172,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.95 tff(23173,plain,
% 26.66/17.95 (v86(constB97) <=> v86(sK0_VarCurr)),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23172])).
% 26.66/17.95 tff(23174,plain,
% 26.66/17.95 (v86(sK0_VarCurr) <=> v86(constB97)),
% 26.66/17.95 inference(symmetry,[status(thm)],[23173])).
% 26.66/17.95 tff(23175,plain,
% 26.66/17.95 ((~v86(sK0_VarCurr)) <=> (~v86(constB97))),
% 26.66/17.95 inference(monotonicity,[status(thm)],[23174])).
% 26.66/17.95 tff(23176,plain,
% 26.66/17.95 (~v86(constB97)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[20015, 23175])).
% 26.66/17.95 tff(23177,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23178,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23179,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 26.66/17.95 tff(23180,plain,
% 26.66/17.95 (~v88(constB97, bitIndex0)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23179, 7950, 12408])).
% 26.66/17.95 tff(23181,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23182,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23183,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex2)) | v88(constB97, bitIndex2)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 26.66/17.95 tff(23184,plain,
% 26.66/17.95 (v88(constB97, bitIndex2)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23183, 7992, 12343])).
% 26.66/17.95 tff(23185,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 26.66/17.95 inference(rewrite,[status(thm)],[])).
% 26.66/17.95 tff(23186,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1))),
% 26.66/17.95 inference(quant_inst,[status(thm)],[])).
% 26.66/17.95 tff(23187,plain,
% 26.66/17.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB97, bitIndex1)) | v88(constB97, bitIndex1)),
% 26.66/17.95 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 26.66/17.95 tff(23188,plain,
% 26.66/17.95 (v88(constB97, bitIndex1)),
% 26.66/17.95 inference(unit_resolution,[status(thm)],[23187, 8034, 12374])).
% 26.66/17.95 tff(23189,plain,
% 26.66/17.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23190,plain,
% 26.66/17.96 (((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97)) <=> (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23191,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97)))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23190])).
% 26.66/17.96 tff(23192,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23191, 23189])).
% 26.66/17.96 tff(23193,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v88(constB97, bitIndex0) | v144(constB97))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23194,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB97, bitIndex0) | (~v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex1)) | v144(constB97)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23193, 23192])).
% 26.66/17.96 tff(23195,plain,
% 26.66/17.96 (v144(constB97)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23194, 8048, 23188, 23184, 23180])).
% 26.66/17.96 tff(23196,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23197,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23198,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23197, 23196])).
% 26.66/17.96 tff(23199,plain,
% 26.66/17.96 (v142(constB97)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23198, 8062, 23195])).
% 26.66/17.96 tff(23200,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB97)) | v148(constB97))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB97)) | v148(constB97))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23201,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB97)) | v148(constB97))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23202,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB97)) | v148(constB97)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23201, 23200])).
% 26.66/17.96 tff(23203,plain,
% 26.66/17.96 (v148(constB97)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23202, 20023, 23199])).
% 26.66/17.96 tff(23204,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB97)) | v167(constB97))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB97)) | v167(constB97))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23205,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB97)) | v167(constB97))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23206,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB97)) | v167(constB97)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 26.66/17.96 tff(23207,plain,
% 26.66/17.96 (v167(constB97)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23206, 8073, 23199])).
% 26.66/17.96 tff(23208,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB97) | (~v167(constB97)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB97) | (~v167(constB97)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23209,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB97) | (~v167(constB97)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23210,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB97) | (~v167(constB97))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23209, 23208])).
% 26.66/17.96 tff(23211,plain,
% 26.66/17.96 (v166(constB97)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23210, 8098, 23207])).
% 26.66/17.96 tff(23212,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB97) | (~v148(constB97)) | (~v166(constB97)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB97) | (~v148(constB97)) | (~v166(constB97)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23213,plain,
% 26.66/17.96 (((~v148(constB97)) | v86(constB97) | (~v166(constB97))) <=> (v86(constB97) | (~v148(constB97)) | (~v166(constB97)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23214,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB97)) | v86(constB97) | (~v166(constB97)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB97) | (~v148(constB97)) | (~v166(constB97))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23213])).
% 26.66/17.96 tff(23215,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB97)) | v86(constB97) | (~v166(constB97)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB97) | (~v148(constB97)) | (~v166(constB97)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23214, 23212])).
% 26.66/17.96 tff(23216,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB97)) | v86(constB97) | (~v166(constB97)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23217,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB97) | (~v148(constB97)) | (~v166(constB97))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 26.66/17.96 tff(23218,plain,
% 26.66/17.96 (v86(constB97)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23217, 20040, 23211, 23203])).
% 26.66/17.96 tff(23219,plain,
% 26.66/17.96 ($false),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23218, 23176])).
% 26.66/17.96 tff(23220,plain,(~(constB97 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.96 tff(23221,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.96 tff(23222,plain,
% 26.66/17.96 (v86(constB109) <=> v86(sK0_VarCurr)),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23221])).
% 26.66/17.96 tff(23223,plain,
% 26.66/17.96 (v86(sK0_VarCurr) <=> v86(constB109)),
% 26.66/17.96 inference(symmetry,[status(thm)],[23222])).
% 26.66/17.96 tff(23224,plain,
% 26.66/17.96 ((~v86(sK0_VarCurr)) <=> (~v86(constB109))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23223])).
% 26.66/17.96 tff(23225,plain,
% 26.66/17.96 (~v86(constB109)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[20015, 23224])).
% 26.66/17.96 tff(23226,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23227,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23228,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 26.66/17.96 tff(23229,plain,
% 26.66/17.96 (~v88(constB109, bitIndex0)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23228, 7950, 13642])).
% 26.66/17.96 tff(23230,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23231,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23232,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex2)) | v88(constB109, bitIndex2)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 26.66/17.96 tff(23233,plain,
% 26.66/17.96 (v88(constB109, bitIndex2)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23232, 7992, 13571])).
% 26.66/17.96 tff(23234,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23235,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23236,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23235, 23234])).
% 26.66/17.96 tff(23237,plain,
% 26.66/17.96 (v88(constB109, bitIndex1)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23236, 8034, 13602])).
% 26.66/17.96 tff(23238,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v144(constB109) | v88(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v144(constB109) | v88(constB109, bitIndex0))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23239,plain,
% 26.66/17.96 (((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109)) <=> ((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v144(constB109) | v88(constB109, bitIndex0))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23240,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v144(constB109) | v88(constB109, bitIndex0)))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23239])).
% 26.66/17.96 tff(23241,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v144(constB109) | v88(constB109, bitIndex0))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23240, 23238])).
% 26.66/17.96 tff(23242,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v144(constB109))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23243,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v144(constB109) | v88(constB109, bitIndex0)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23242, 23241])).
% 26.66/17.96 tff(23244,plain,
% 26.66/17.96 (v144(constB109)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23243, 8048, 23237, 23233, 23229])).
% 26.66/17.96 tff(23245,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23246,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23247,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 26.66/17.96 tff(23248,plain,
% 26.66/17.96 (v142(constB109)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23247, 8062, 23244])).
% 26.66/17.96 tff(23249,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB109)) | v148(constB109))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB109)) | v148(constB109))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23250,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB109)) | v148(constB109))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23251,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB109)) | v148(constB109)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23250, 23249])).
% 26.66/17.96 tff(23252,plain,
% 26.66/17.96 (v148(constB109)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23251, 20023, 23248])).
% 26.66/17.96 tff(23253,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB109)) | v167(constB109))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB109)) | v167(constB109))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23254,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB109)) | v167(constB109))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23255,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB109)) | v167(constB109)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23254, 23253])).
% 26.66/17.96 tff(23256,plain,
% 26.66/17.96 (v167(constB109)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23255, 8073, 23248])).
% 26.66/17.96 tff(23257,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23258,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB109) | (~v167(constB109)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23259,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB109) | (~v167(constB109))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 26.66/17.96 tff(23260,plain,
% 26.66/17.96 (v166(constB109)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23259, 8098, 23256])).
% 26.66/17.96 tff(23261,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB109) | (~v148(constB109)) | (~v166(constB109)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB109) | (~v148(constB109)) | (~v166(constB109)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23262,plain,
% 26.66/17.96 (((~v148(constB109)) | v86(constB109) | (~v166(constB109))) <=> (v86(constB109) | (~v148(constB109)) | (~v166(constB109)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23263,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB109)) | v86(constB109) | (~v166(constB109)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB109) | (~v148(constB109)) | (~v166(constB109))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23262])).
% 26.66/17.96 tff(23264,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB109)) | v86(constB109) | (~v166(constB109)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB109) | (~v148(constB109)) | (~v166(constB109)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23263, 23261])).
% 26.66/17.96 tff(23265,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB109)) | v86(constB109) | (~v166(constB109)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23266,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB109) | (~v148(constB109)) | (~v166(constB109))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 26.66/17.96 tff(23267,plain,
% 26.66/17.96 (v86(constB109)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23266, 20040, 23260, 23252])).
% 26.66/17.96 tff(23268,plain,
% 26.66/17.96 ($false),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23267, 23225])).
% 26.66/17.96 tff(23269,plain,(~(constB109 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.96 tff(23270,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.96 tff(23271,plain,
% 26.66/17.96 (v86(constB121) <=> v86(sK0_VarCurr)),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23270])).
% 26.66/17.96 tff(23272,plain,
% 26.66/17.96 (v86(sK0_VarCurr) <=> v86(constB121)),
% 26.66/17.96 inference(symmetry,[status(thm)],[23271])).
% 26.66/17.96 tff(23273,plain,
% 26.66/17.96 ((~v86(sK0_VarCurr)) <=> (~v86(constB121))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23272])).
% 26.66/17.96 tff(23274,plain,
% 26.66/17.96 (~v86(constB121)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[20015, 23273])).
% 26.66/17.96 tff(23275,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB121) | (~v142(constB121)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23276,plain,
% 26.66/17.96 (((~v142(constB121)) | v148(constB121)) <=> (v148(constB121) | (~v142(constB121)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23277,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB121)) | v148(constB121))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB121) | (~v142(constB121))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23276])).
% 26.66/17.96 tff(23278,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB121)) | v148(constB121))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB121) | (~v142(constB121)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23277, 23275])).
% 26.66/17.96 tff(23279,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB121)) | v148(constB121))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23280,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB121) | (~v142(constB121))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23279, 23278])).
% 26.66/17.96 tff(23281,plain,
% 26.66/17.96 (v148(constB121)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23280, 20023, 19776])).
% 26.66/17.96 tff(23282,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB121) | (~v148(constB121)) | (~v166(constB121)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB121) | (~v148(constB121)) | (~v166(constB121)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23283,plain,
% 26.66/17.96 (((~v148(constB121)) | v86(constB121) | (~v166(constB121))) <=> (v86(constB121) | (~v148(constB121)) | (~v166(constB121)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23284,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB121)) | v86(constB121) | (~v166(constB121)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB121) | (~v148(constB121)) | (~v166(constB121))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23283])).
% 26.66/17.96 tff(23285,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB121)) | v86(constB121) | (~v166(constB121)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB121) | (~v148(constB121)) | (~v166(constB121)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23284, 23282])).
% 26.66/17.96 tff(23286,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB121)) | v86(constB121) | (~v166(constB121)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23287,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB121) | (~v148(constB121)) | (~v166(constB121))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23286, 23285])).
% 26.66/17.96 tff(23288,plain,
% 26.66/17.96 (v86(constB121)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23287, 20040, 19791, 23281])).
% 26.66/17.96 tff(23289,plain,
% 26.66/17.96 ($false),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23288, 23274])).
% 26.66/17.96 tff(23290,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.96 tff(23291,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.96 tff(23292,plain,
% 26.66/17.96 (v86(constB49) <=> v86(sK0_VarCurr)),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23291])).
% 26.66/17.96 tff(23293,plain,
% 26.66/17.96 (v86(sK0_VarCurr) <=> v86(constB49)),
% 26.66/17.96 inference(symmetry,[status(thm)],[23292])).
% 26.66/17.96 tff(23294,plain,
% 26.66/17.96 ((~v86(sK0_VarCurr)) <=> (~v86(constB49))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23293])).
% 26.66/17.96 tff(23295,plain,
% 26.66/17.96 (~v86(constB49)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[20015, 23294])).
% 26.66/17.96 tff(23296,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23297,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23298,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 26.66/17.96 tff(23299,plain,
% 26.66/17.96 (~v88(constB49, bitIndex0)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23298, 7950, 6726])).
% 26.66/17.96 tff(23300,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23301,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23302,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB49, bitIndex2)) | v88(constB49, bitIndex2)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23301, 23300])).
% 26.66/17.96 tff(23303,plain,
% 26.66/17.96 (v88(constB49, bitIndex2)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23302, 7992, 6661])).
% 26.66/17.96 tff(23304,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23305,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23306,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23305, 23304])).
% 26.66/17.96 tff(23307,plain,
% 26.66/17.96 (v88(constB49, bitIndex1)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23306, 8034, 6692])).
% 26.66/17.96 tff(23308,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23309,plain,
% 26.66/17.96 (((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49)) <=> (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23310,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49)))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23309])).
% 26.66/17.96 tff(23311,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23310, 23308])).
% 26.66/17.96 tff(23312,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v144(constB49))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23313,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB49, bitIndex0) | (~v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex1)) | v144(constB49)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 26.66/17.96 tff(23314,plain,
% 26.66/17.96 (v144(constB49)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23313, 8048, 23307, 23303, 23299])).
% 26.66/17.96 tff(23315,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23316,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23317,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23316, 23315])).
% 26.66/17.96 tff(23318,plain,
% 26.66/17.96 (v142(constB49)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23317, 8062, 23314])).
% 26.66/17.96 tff(23319,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB49) | (~v142(constB49)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23320,plain,
% 26.66/17.96 (((~v142(constB49)) | v148(constB49)) <=> (v148(constB49) | (~v142(constB49)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23321,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB49)) | v148(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB49) | (~v142(constB49))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23320])).
% 26.66/17.96 tff(23322,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB49)) | v148(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB49) | (~v142(constB49)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23321, 23319])).
% 26.66/17.96 tff(23323,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB49)) | v148(constB49))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23324,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB49) | (~v142(constB49))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23323, 23322])).
% 26.66/17.96 tff(23325,plain,
% 26.66/17.96 (v148(constB49)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23324, 20023, 23318])).
% 26.66/17.96 tff(23326,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB49)) | v167(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB49)) | v167(constB49))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23327,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB49)) | v167(constB49))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23328,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB49)) | v167(constB49)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23327, 23326])).
% 26.66/17.96 tff(23329,plain,
% 26.66/17.96 (v167(constB49)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23328, 8073, 23318])).
% 26.66/17.96 tff(23330,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB49) | (~v167(constB49)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB49) | (~v167(constB49)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23331,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB49) | (~v167(constB49)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23332,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB49) | (~v167(constB49))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 26.66/17.96 tff(23333,plain,
% 26.66/17.96 (v166(constB49)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23332, 8098, 23329])).
% 26.66/17.96 tff(23334,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB49) | (~v148(constB49)) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23335,plain,
% 26.66/17.96 (((~v148(constB49)) | v86(constB49) | (~v166(constB49))) <=> (v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23336,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB49)) | v86(constB49) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB49) | (~v148(constB49)) | (~v166(constB49))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23335])).
% 26.66/17.96 tff(23337,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB49)) | v86(constB49) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23336, 23334])).
% 26.66/17.96 tff(23338,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB49)) | v86(constB49) | (~v166(constB49)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23339,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB49) | (~v148(constB49)) | (~v166(constB49))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23338, 23337])).
% 26.66/17.96 tff(23340,plain,
% 26.66/17.96 (v86(constB49)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23339, 20040, 23333, 23325])).
% 26.66/17.96 tff(23341,plain,
% 26.66/17.96 ($false),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23340, 23295])).
% 26.66/17.96 tff(23342,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.96 tff(23343,assumption,(constB37 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.96 tff(23344,plain,
% 26.66/17.96 (v86(constB37) <=> v86(sK0_VarCurr)),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23343])).
% 26.66/17.96 tff(23345,plain,
% 26.66/17.96 (v86(sK0_VarCurr) <=> v86(constB37)),
% 26.66/17.96 inference(symmetry,[status(thm)],[23344])).
% 26.66/17.96 tff(23346,plain,
% 26.66/17.96 ((~v86(sK0_VarCurr)) <=> (~v86(constB37))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23345])).
% 26.66/17.96 tff(23347,plain,
% 26.66/17.96 (~v86(constB37)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[20015, 23346])).
% 26.66/17.96 tff(23348,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB37)) | v148(constB37))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB37)) | v148(constB37))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23349,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB37)) | v148(constB37))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23350,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB37)) | v148(constB37)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 26.66/17.96 tff(23351,plain,
% 26.66/17.96 (v148(constB37)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23350, 20023, 19640])).
% 26.66/17.96 tff(23352,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB37) | (~v148(constB37)) | (~v166(constB37)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB37) | (~v148(constB37)) | (~v166(constB37)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23353,plain,
% 26.66/17.96 (((~v148(constB37)) | v86(constB37) | (~v166(constB37))) <=> (v86(constB37) | (~v148(constB37)) | (~v166(constB37)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23354,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB37)) | v86(constB37) | (~v166(constB37)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB37) | (~v148(constB37)) | (~v166(constB37))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23353])).
% 26.66/17.96 tff(23355,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB37)) | v86(constB37) | (~v166(constB37)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB37) | (~v148(constB37)) | (~v166(constB37)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23354, 23352])).
% 26.66/17.96 tff(23356,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB37)) | v86(constB37) | (~v166(constB37)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23357,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB37) | (~v148(constB37)) | (~v166(constB37))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23356, 23355])).
% 26.66/17.96 tff(23358,plain,
% 26.66/17.96 (v86(constB37)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23357, 20040, 19652, 23351])).
% 26.66/17.96 tff(23359,plain,
% 26.66/17.96 ($false),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23358, 23347])).
% 26.66/17.96 tff(23360,plain,(~(constB37 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.96 tff(23361,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.96 tff(23362,plain,
% 26.66/17.96 (v86(constB25) <=> v86(sK0_VarCurr)),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23361])).
% 26.66/17.96 tff(23363,plain,
% 26.66/17.96 (v86(sK0_VarCurr) <=> v86(constB25)),
% 26.66/17.96 inference(symmetry,[status(thm)],[23362])).
% 26.66/17.96 tff(23364,plain,
% 26.66/17.96 ((~v86(sK0_VarCurr)) <=> (~v86(constB25))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23363])).
% 26.66/17.96 tff(23365,plain,
% 26.66/17.96 (~v86(constB25)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[20015, 23364])).
% 26.66/17.96 tff(23366,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB25)) | v148(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB25)) | v148(constB25))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23367,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB25)) | v148(constB25))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23368,plain,
% 26.66/17.96 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB25)) | v148(constB25)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23367, 23366])).
% 26.66/17.96 tff(23369,plain,
% 26.66/17.96 (v148(constB25)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23368, 20023, 8333])).
% 26.66/17.96 tff(23370,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB25) | (~v166(constB25)) | (~v148(constB25)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB25) | (~v166(constB25)) | (~v148(constB25)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23371,plain,
% 26.66/17.96 (((~v148(constB25)) | v86(constB25) | (~v166(constB25))) <=> (v86(constB25) | (~v166(constB25)) | (~v148(constB25)))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.96 tff(23372,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB25)) | v86(constB25) | (~v166(constB25)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB25) | (~v166(constB25)) | (~v148(constB25))))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23371])).
% 26.66/17.96 tff(23373,plain,
% 26.66/17.96 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB25)) | v86(constB25) | (~v166(constB25)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB25) | (~v166(constB25)) | (~v148(constB25)))),
% 26.66/17.96 inference(transitivity,[status(thm)],[23372, 23370])).
% 26.66/17.96 tff(23374,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB25)) | v86(constB25) | (~v166(constB25)))),
% 26.66/17.96 inference(quant_inst,[status(thm)],[])).
% 26.66/17.96 tff(23375,plain,
% 26.66/17.96 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB25) | (~v166(constB25)) | (~v148(constB25))),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 26.66/17.96 tff(23376,plain,
% 26.66/17.96 (v86(constB25)),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23375, 20040, 8345, 23369])).
% 26.66/17.96 tff(23377,plain,
% 26.66/17.96 ($false),
% 26.66/17.96 inference(unit_resolution,[status(thm)],[23376, 23365])).
% 26.66/17.96 tff(23378,plain,(~(constB25 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.96 tff(23379,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.96 tff(23380,plain,
% 26.66/17.96 (v86(constB145) <=> v86(sK0_VarCurr)),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23379])).
% 26.66/17.96 tff(23381,plain,
% 26.66/17.96 (v86(sK0_VarCurr) <=> v86(constB145)),
% 26.66/17.96 inference(symmetry,[status(thm)],[23380])).
% 26.66/17.96 tff(23382,plain,
% 26.66/17.96 ((~v86(sK0_VarCurr)) <=> (~v86(constB145))),
% 26.66/17.96 inference(monotonicity,[status(thm)],[23381])).
% 26.66/17.96 tff(23383,plain,
% 26.66/17.96 (~v86(constB145)),
% 26.66/17.96 inference(modus_ponens,[status(thm)],[20015, 23382])).
% 26.66/17.96 tff(23384,plain,
% 26.66/17.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0))),
% 26.66/17.96 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23385,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23386,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23385, 23384])).
% 26.66/17.97 tff(23387,plain,
% 26.66/17.97 (~v88(constB145, bitIndex0)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23386, 7950, 17993])).
% 26.66/17.97 tff(23388,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23389,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23390,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 26.66/17.97 tff(23391,plain,
% 26.66/17.97 (v88(constB145, bitIndex2)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23390, 7992, 17928])).
% 26.66/17.97 tff(23392,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23393,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23394,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23393, 23392])).
% 26.66/17.97 tff(23395,plain,
% 26.66/17.97 (v88(constB145, bitIndex1)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23394, 8034, 17959])).
% 26.66/17.97 tff(23396,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23397,plain,
% 26.66/17.97 (((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145)) <=> (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23398,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145)))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23397])).
% 26.66/17.97 tff(23399,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23398, 23396])).
% 26.66/17.97 tff(23400,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23401,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v144(constB145)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 26.66/17.97 tff(23402,plain,
% 26.66/17.97 (v144(constB145)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23401, 8048, 23395, 23391, 23387])).
% 26.66/17.97 tff(23403,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23404,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23405,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 26.66/17.97 tff(23406,plain,
% 26.66/17.97 (v142(constB145)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23405, 8062, 23402])).
% 26.66/17.97 tff(23407,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB145)) | v148(constB145))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB145)) | v148(constB145))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23408,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB145)) | v148(constB145))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23409,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB145)) | v148(constB145)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23408, 23407])).
% 26.66/17.97 tff(23410,plain,
% 26.66/17.97 (v148(constB145)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23409, 20023, 23406])).
% 26.66/17.97 tff(23411,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB145)) | v167(constB145))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB145)) | v167(constB145))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23412,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB145)) | v167(constB145))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23413,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB145)) | v167(constB145)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 26.66/17.97 tff(23414,plain,
% 26.66/17.97 (v167(constB145)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23413, 8073, 23406])).
% 26.66/17.97 tff(23415,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB145) | (~v167(constB145)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB145) | (~v167(constB145)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23416,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB145) | (~v167(constB145)))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23417,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB145) | (~v167(constB145))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23416, 23415])).
% 26.66/17.97 tff(23418,plain,
% 26.66/17.97 (v166(constB145)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23417, 8098, 23414])).
% 26.66/17.97 tff(23419,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB145) | (~v166(constB145)) | (~v148(constB145)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB145) | (~v166(constB145)) | (~v148(constB145)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23420,plain,
% 26.66/17.97 (((~v148(constB145)) | v86(constB145) | (~v166(constB145))) <=> (v86(constB145) | (~v166(constB145)) | (~v148(constB145)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23421,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB145)) | v86(constB145) | (~v166(constB145)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB145) | (~v166(constB145)) | (~v148(constB145))))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23420])).
% 26.66/17.97 tff(23422,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB145)) | v86(constB145) | (~v166(constB145)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB145) | (~v166(constB145)) | (~v148(constB145)))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23421, 23419])).
% 26.66/17.97 tff(23423,plain,
% 26.66/17.97 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB145)) | v86(constB145) | (~v166(constB145)))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23424,plain,
% 26.66/17.97 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB145) | (~v166(constB145)) | (~v148(constB145))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23423, 23422])).
% 26.66/17.97 tff(23425,plain,
% 26.66/17.97 (v86(constB145)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23424, 20040, 23418, 23410])).
% 26.66/17.97 tff(23426,plain,
% 26.66/17.97 ($false),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23425, 23383])).
% 26.66/17.97 tff(23427,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.97 tff(23428,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.97 tff(23429,plain,
% 26.66/17.97 (v86(constB13) <=> v86(sK0_VarCurr)),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23428])).
% 26.66/17.97 tff(23430,plain,
% 26.66/17.97 (v86(sK0_VarCurr) <=> v86(constB13)),
% 26.66/17.97 inference(symmetry,[status(thm)],[23429])).
% 26.66/17.97 tff(23431,plain,
% 26.66/17.97 ((~v86(sK0_VarCurr)) <=> (~v86(constB13))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23430])).
% 26.66/17.97 tff(23432,plain,
% 26.66/17.97 (~v86(constB13)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[20015, 23431])).
% 26.66/17.97 tff(23433,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23434,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23435,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 26.66/17.97 tff(23436,plain,
% 26.66/17.97 (~v88(constB13, bitIndex0)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23435, 7950, 2194])).
% 26.66/17.97 tff(23437,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23438,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23439,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB13, bitIndex2)) | v88(constB13, bitIndex2)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 26.66/17.97 tff(23440,plain,
% 26.66/17.97 (v88(constB13, bitIndex2)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23439, 7992, 2115])).
% 26.66/17.97 tff(23441,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23442,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23443,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB13, bitIndex1)) | v88(constB13, bitIndex1)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23442, 23441])).
% 26.66/17.97 tff(23444,plain,
% 26.66/17.97 (v88(constB13, bitIndex1)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23443, 8034, 2153])).
% 26.66/17.97 tff(23445,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23446,plain,
% 26.66/17.97 (((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13)) <=> ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23447,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13)))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23446])).
% 26.66/17.97 tff(23448,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23447, 23445])).
% 26.66/17.97 tff(23449,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex1)) | v88(constB13, bitIndex0) | v144(constB13))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23450,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0) | v144(constB13)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23449, 23448])).
% 26.66/17.97 tff(23451,plain,
% 26.66/17.97 (v144(constB13)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23450, 8048, 23444, 23440, 23436])).
% 26.66/17.97 tff(23452,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB13)) | v142(constB13))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB13)) | v142(constB13))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23453,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB13)) | v142(constB13))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23454,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB13)) | v142(constB13)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23453, 23452])).
% 26.66/17.97 tff(23455,plain,
% 26.66/17.97 (v142(constB13)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23454, 8062, 23451])).
% 26.66/17.97 tff(23456,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB13) | (~v142(constB13)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23457,plain,
% 26.66/17.97 (((~v142(constB13)) | v148(constB13)) <=> (v148(constB13) | (~v142(constB13)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23458,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB13)) | v148(constB13))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB13) | (~v142(constB13))))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23457])).
% 26.66/17.97 tff(23459,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB13)) | v148(constB13))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB13) | (~v142(constB13)))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23458, 23456])).
% 26.66/17.97 tff(23460,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB13)) | v148(constB13))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23461,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB13) | (~v142(constB13))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23460, 23459])).
% 26.66/17.97 tff(23462,plain,
% 26.66/17.97 (v148(constB13)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23461, 20023, 23455])).
% 26.66/17.97 tff(23463,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB13)) | v167(constB13))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB13)) | v167(constB13))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23464,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB13)) | v167(constB13))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23465,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB13)) | v167(constB13)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 26.66/17.97 tff(23466,plain,
% 26.66/17.97 (v167(constB13)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23465, 8073, 23455])).
% 26.66/17.97 tff(23467,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB13) | (~v167(constB13)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB13) | (~v167(constB13)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23468,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB13) | (~v167(constB13)))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23469,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB13) | (~v167(constB13))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23468, 23467])).
% 26.66/17.97 tff(23470,plain,
% 26.66/17.97 (v166(constB13)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23469, 8098, 23466])).
% 26.66/17.97 tff(23471,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB13) | (~v148(constB13)) | (~v166(constB13)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB13) | (~v148(constB13)) | (~v166(constB13)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23472,plain,
% 26.66/17.97 (((~v148(constB13)) | v86(constB13) | (~v166(constB13))) <=> (v86(constB13) | (~v148(constB13)) | (~v166(constB13)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23473,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB13)) | v86(constB13) | (~v166(constB13)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB13) | (~v148(constB13)) | (~v166(constB13))))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23472])).
% 26.66/17.97 tff(23474,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB13)) | v86(constB13) | (~v166(constB13)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB13) | (~v148(constB13)) | (~v166(constB13)))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23473, 23471])).
% 26.66/17.97 tff(23475,plain,
% 26.66/17.97 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB13)) | v86(constB13) | (~v166(constB13)))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23476,plain,
% 26.66/17.97 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB13) | (~v148(constB13)) | (~v166(constB13))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23475, 23474])).
% 26.66/17.97 tff(23477,plain,
% 26.66/17.97 (v86(constB13)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23476, 20040, 23470, 23462])).
% 26.66/17.97 tff(23478,plain,
% 26.66/17.97 ($false),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23477, 23432])).
% 26.66/17.97 tff(23479,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.97 tff(23480,assumption,(constB85 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.97 tff(23481,plain,
% 26.66/17.97 (v86(constB85) <=> v86(sK0_VarCurr)),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23480])).
% 26.66/17.97 tff(23482,plain,
% 26.66/17.97 (v86(sK0_VarCurr) <=> v86(constB85)),
% 26.66/17.97 inference(symmetry,[status(thm)],[23481])).
% 26.66/17.97 tff(23483,plain,
% 26.66/17.97 ((~v86(sK0_VarCurr)) <=> (~v86(constB85))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23482])).
% 26.66/17.97 tff(23484,plain,
% 26.66/17.97 (~v86(constB85)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[20015, 23483])).
% 26.66/17.97 tff(23485,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23486,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23487,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23486, 23485])).
% 26.66/17.97 tff(23488,plain,
% 26.66/17.97 (~v88(constB85, bitIndex0)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23487, 7950, 11004])).
% 26.66/17.97 tff(23489,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23490,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23491,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB85, bitIndex2)) | v88(constB85, bitIndex2)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23490, 23489])).
% 26.66/17.97 tff(23492,plain,
% 26.66/17.97 (v88(constB85, bitIndex2)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23491, 7992, 10939])).
% 26.66/17.97 tff(23493,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23494,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23495,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB85, bitIndex1)) | v88(constB85, bitIndex1)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23494, 23493])).
% 26.66/17.97 tff(23496,plain,
% 26.66/17.97 (v88(constB85, bitIndex1)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23495, 8034, 10970])).
% 26.66/17.97 tff(23497,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23498,plain,
% 26.66/17.97 (((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85)) <=> (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23499,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23498])).
% 26.66/17.97 tff(23500,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23499, 23497])).
% 26.66/17.97 tff(23501,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v88(constB85, bitIndex0) | v144(constB85))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23502,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB85, bitIndex0) | (~v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex1)) | v144(constB85)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23501, 23500])).
% 26.66/17.97 tff(23503,plain,
% 26.66/17.97 (v144(constB85)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23502, 8048, 23496, 23492, 23488])).
% 26.66/17.97 tff(23504,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB85)) | v142(constB85))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23505,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23506,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB85)) | v142(constB85)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23505, 23504])).
% 26.66/17.97 tff(23507,plain,
% 26.66/17.97 (v142(constB85)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23506, 8062, 23503])).
% 26.66/17.97 tff(23508,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB85)) | v148(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB85)) | v148(constB85))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23509,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB85)) | v148(constB85))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23510,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB85)) | v148(constB85)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23509, 23508])).
% 26.66/17.97 tff(23511,plain,
% 26.66/17.97 (v148(constB85)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23510, 20023, 23507])).
% 26.66/17.97 tff(23512,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB85)) | v167(constB85))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23513,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB85)) | v167(constB85))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23514,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB85)) | v167(constB85)),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 26.66/17.97 tff(23515,plain,
% 26.66/17.97 (v167(constB85)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23514, 8073, 23507])).
% 26.66/17.97 tff(23516,plain,
% 26.66/17.97 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23517,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB85) | (~v167(constB85)))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23518,plain,
% 26.66/17.97 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB85) | (~v167(constB85))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 26.66/17.97 tff(23519,plain,
% 26.66/17.97 (v166(constB85)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23518, 8098, 23515])).
% 26.66/17.97 tff(23520,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB85) | (~v166(constB85)) | (~v148(constB85)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB85) | (~v166(constB85)) | (~v148(constB85)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23521,plain,
% 26.66/17.97 (((~v148(constB85)) | v86(constB85) | (~v166(constB85))) <=> (v86(constB85) | (~v166(constB85)) | (~v148(constB85)))),
% 26.66/17.97 inference(rewrite,[status(thm)],[])).
% 26.66/17.97 tff(23522,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB85)) | v86(constB85) | (~v166(constB85)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB85) | (~v166(constB85)) | (~v148(constB85))))),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23521])).
% 26.66/17.97 tff(23523,plain,
% 26.66/17.97 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB85)) | v86(constB85) | (~v166(constB85)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB85) | (~v166(constB85)) | (~v148(constB85)))),
% 26.66/17.97 inference(transitivity,[status(thm)],[23522, 23520])).
% 26.66/17.97 tff(23524,plain,
% 26.66/17.97 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB85)) | v86(constB85) | (~v166(constB85)))),
% 26.66/17.97 inference(quant_inst,[status(thm)],[])).
% 26.66/17.97 tff(23525,plain,
% 26.66/17.97 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB85) | (~v166(constB85)) | (~v148(constB85))),
% 26.66/17.97 inference(modus_ponens,[status(thm)],[23524, 23523])).
% 26.66/17.97 tff(23526,plain,
% 26.66/17.97 (v86(constB85)),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23525, 20040, 23519, 23511])).
% 26.66/17.97 tff(23527,plain,
% 26.66/17.97 ($false),
% 26.66/17.97 inference(unit_resolution,[status(thm)],[23526, 23484])).
% 26.66/17.97 tff(23528,plain,(~(constB85 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.97 tff(23529,assumption,(constB193 = sK0_VarCurr), introduced(assumption)).
% 26.66/17.97 tff(23530,plain,
% 26.66/17.97 (v86(constB193) <=> v86(sK0_VarCurr)),
% 26.66/17.97 inference(monotonicity,[status(thm)],[23529])).
% 26.66/17.97 tff(23531,plain,
% 26.66/17.97 (v86(sK0_VarCurr) <=> v86(constB193)),
% 26.66/17.97 inference(symmetry,[status(thm)],[23530])).
% 26.66/17.97 tff(23532,plain,
% 26.66/17.98 ((~v86(sK0_VarCurr)) <=> (~v86(constB193))),
% 26.66/17.98 inference(monotonicity,[status(thm)],[23531])).
% 26.66/17.98 tff(23533,plain,
% 26.66/17.98 (~v86(constB193)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[20015, 23532])).
% 26.66/17.98 tff(23534,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23535,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23536,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23535, 23534])).
% 26.66/17.98 tff(23537,plain,
% 26.66/17.98 (v125(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23536, 2204, 23004, 22931, 22966])).
% 26.66/17.98 tff(23538,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB181)) | v113(constB181))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23539,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23540,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB181)) | v113(constB181)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23539, 23538])).
% 26.66/17.98 tff(23541,plain,
% 26.66/17.98 (v113(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23540, 2215, 23537])).
% 26.66/17.98 tff(23542,assumption,(v26(constB180)), introduced(assumption)).
% 26.66/17.98 tff(23543,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB180))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23544,plain,
% 26.66/17.98 ($false),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23543, 120, 23542])).
% 26.66/17.98 tff(23545,plain,(~v26(constB180)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.98 tff(23546,plain,
% 26.66/17.98 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23547,plain,
% 26.66/17.98 ((v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181))) <=> ((~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23548,plain,
% 26.66/17.98 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181))))),
% 26.66/17.98 inference(monotonicity,[status(thm)],[23547])).
% 26.66/17.98 tff(23549,plain,
% 26.66/17.98 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181)))),
% 26.66/17.98 inference(transitivity,[status(thm)],[23548, 23546])).
% 26.66/17.98 tff(23550,plain,
% 26.66/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB180) | (~nextState(constB180, constB181)) | (~v66(constB181)))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23551,plain,
% 26.66/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB180, constB181)) | v26(constB180) | (~v66(constB181))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23550, 23549])).
% 26.66/17.98 tff(23552,plain,
% 26.66/17.98 (v26(constB180) | (~v66(constB181))),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23551, 148, 22910])).
% 26.66/17.98 tff(23553,plain,
% 26.66/17.98 (~v66(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23552, 23545])).
% 26.66/17.98 tff(23554,assumption,(v18(constB182)), introduced(assumption)).
% 26.66/17.98 tff(23555,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB182))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23556,plain,
% 26.66/17.98 ($false),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23555, 8, 23554])).
% 26.66/17.98 tff(23557,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.98 tff(23558,plain,
% 26.66/17.98 (v1(constB182) <=> v1(constB182)),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23559,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 26.66/17.98 tff(23560,plain,
% 26.66/17.98 (v1(constB182)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23559, 23558])).
% 26.66/17.98 tff(23561,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23562,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23563,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 26.66/17.98 tff(23564,plain,
% 26.66/17.98 (v22(constB182)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23563, 24, 23560])).
% 26.66/17.98 tff(23565,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23566,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23567,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23566, 23565])).
% 26.66/17.98 tff(23568,plain,
% 26.66/17.98 (v18(constB182) | (~v19(constB182))),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23567, 38, 23564])).
% 26.66/17.98 tff(23569,plain,
% 26.66/17.98 (~v19(constB182)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23568, 23557])).
% 26.66/17.98 tff(23570,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23571,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23572,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23571, 23570])).
% 26.66/17.98 tff(23573,plain,
% 26.66/17.98 (v13(constB182)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23572, 50, 23569])).
% 26.66/17.98 tff(23574,plain,
% 26.66/17.98 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23575,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 26.66/17.98 tff(23576,plain,
% 26.66/17.98 (nextState(constB181, constB182)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 26.66/17.98 tff(23577,plain,
% 26.66/17.98 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23578,plain,
% 26.66/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23579,plain,
% 26.66/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23578, 23577])).
% 26.66/17.98 tff(23580,plain,
% 26.66/17.98 (v9(constB181) | (~v13(constB182))),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23579, 67, 23576])).
% 26.66/17.98 tff(23581,plain,
% 26.66/17.98 (v9(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23580, 23573])).
% 26.66/17.98 tff(23582,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | v64(constB181) | (~v9(constB181)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB181) | v64(constB181) | (~v9(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23583,plain,
% 26.66/17.98 ((v1(constB181) | (~v9(constB181)) | v64(constB181)) <=> (v1(constB181) | v64(constB181) | (~v9(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23584,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v64(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | v64(constB181) | (~v9(constB181))))),
% 26.66/17.98 inference(monotonicity,[status(thm)],[23583])).
% 26.66/17.98 tff(23585,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v64(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB181) | v64(constB181) | (~v9(constB181)))),
% 26.66/17.98 inference(transitivity,[status(thm)],[23584, 23582])).
% 26.66/17.98 tff(23586,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v64(constB181))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23587,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB181) | v64(constB181) | (~v9(constB181))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 26.66/17.98 tff(23588,plain,
% 26.66/17.98 (v64(constB181) | (~v9(constB181))),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23587, 197, 22907])).
% 26.66/17.98 tff(23589,plain,
% 26.66/17.98 (v64(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23588, 23581])).
% 26.66/17.98 tff(23590,plain,
% 26.66/17.98 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB181)) | v66(constB181) | (~v64(constB181)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB181)) | v66(constB181) | (~v64(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23591,plain,
% 26.66/17.98 (((~v64(constB181)) | v66(constB181) | (~v60(constB181))) <=> ((~v60(constB181)) | v66(constB181) | (~v64(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23592,plain,
% 26.66/17.98 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB181)) | v66(constB181) | (~v60(constB181)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB181)) | v66(constB181) | (~v64(constB181))))),
% 26.66/17.98 inference(monotonicity,[status(thm)],[23591])).
% 26.66/17.98 tff(23593,plain,
% 26.66/17.98 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB181)) | v66(constB181) | (~v60(constB181)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB181)) | v66(constB181) | (~v64(constB181)))),
% 26.66/17.98 inference(transitivity,[status(thm)],[23592, 23590])).
% 26.66/17.98 tff(23594,plain,
% 26.66/17.98 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB181)) | v66(constB181) | (~v60(constB181)))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23595,plain,
% 26.66/17.98 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB181)) | v66(constB181) | (~v64(constB181))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23594, 23593])).
% 26.66/17.98 tff(23596,plain,
% 26.66/17.98 ((~v60(constB181)) | v66(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23595, 215, 23589])).
% 26.66/17.98 tff(23597,plain,
% 26.66/17.98 (~v60(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23596, 23553])).
% 26.66/17.98 tff(23598,assumption,(v71(constB181)), introduced(assumption)).
% 26.66/17.98 tff(23599,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB181))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23600,plain,
% 26.66/17.98 ($false),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23599, 231, 23598])).
% 26.66/17.98 tff(23601,plain,(~v71(constB181)), inference(lemma,lemma(discharge,[]))).
% 26.66/17.98 tff(23602,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB181)) | v80(constB181))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB181)) | v80(constB181))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23603,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB181)) | v80(constB181))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23604,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB181)) | v80(constB181)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23603, 23602])).
% 26.66/17.98 tff(23605,plain,
% 26.66/17.98 (v80(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23604, 241, 23581])).
% 26.66/17.98 tff(23606,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB181) | v78(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB181) | v78(constB181))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23607,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB181) | v78(constB181))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23608,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB181) | v78(constB181)),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 26.66/17.98 tff(23609,plain,
% 26.66/17.98 (v78(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23608, 252, 22907])).
% 26.66/17.98 tff(23610,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB181) | (~v80(constB181)) | (~v78(constB181)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB181) | (~v80(constB181)) | (~v78(constB181)))),
% 26.66/17.98 inference(rewrite,[status(thm)],[])).
% 26.66/17.98 tff(23611,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB181) | (~v80(constB181)) | (~v78(constB181)))),
% 26.66/17.98 inference(quant_inst,[status(thm)],[])).
% 26.66/17.98 tff(23612,plain,
% 26.66/17.98 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB181) | (~v80(constB181)) | (~v78(constB181))),
% 26.66/17.98 inference(modus_ponens,[status(thm)],[23611, 23610])).
% 26.66/17.98 tff(23613,plain,
% 26.66/17.98 (v76(constB181) | (~v80(constB181))),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23612, 266, 23609])).
% 26.66/17.98 tff(23614,plain,
% 26.66/17.98 (v76(constB181)),
% 26.66/17.98 inference(unit_resolution,[status(thm)],[23613, 23605])).
% 26.66/17.98 tff(23615,plain,
% 26.66/17.98 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB181) | (~v76(constB181)) | (~v72(constB181)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB181) | (~v76(constB181)) | (~v72(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23616,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB181) | (~v76(constB181)) | (~v72(constB181)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23617,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | v71(constB181) | (~v76(constB181)) | (~v72(constB181))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23616, 23615])).
% 26.71/17.98 tff(23618,plain,
% 26.71/17.98 (v71(constB181) | (~v72(constB181))),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23617, 281, 23614])).
% 26.71/17.98 tff(23619,plain,
% 26.71/17.98 (~v72(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23618, 23601])).
% 26.71/17.98 tff(23620,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB181) | v72(constB181) | v74(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB181) | v72(constB181) | v74(constB181))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23621,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB181) | v72(constB181) | v74(constB181))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23622,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB181) | v72(constB181) | v74(constB181)),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23621, 23620])).
% 26.71/17.98 tff(23623,plain,
% 26.71/17.98 (v72(constB181) | v74(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23622, 299, 22907])).
% 26.71/17.98 tff(23624,plain,
% 26.71/17.98 (v74(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23623, 23619])).
% 26.71/17.98 tff(23625,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB181) | (~v26(constB181)) | (~v74(constB181)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB181) | (~v26(constB181)) | (~v74(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23626,plain,
% 26.71/17.98 (((~v26(constB181)) | v60(constB181) | (~v74(constB181))) <=> (v60(constB181) | (~v26(constB181)) | (~v74(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23627,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB181)) | v60(constB181) | (~v74(constB181)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB181) | (~v26(constB181)) | (~v74(constB181))))),
% 26.71/17.98 inference(monotonicity,[status(thm)],[23626])).
% 26.71/17.98 tff(23628,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB181)) | v60(constB181) | (~v74(constB181)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB181) | (~v26(constB181)) | (~v74(constB181)))),
% 26.71/17.98 inference(transitivity,[status(thm)],[23627, 23625])).
% 26.71/17.98 tff(23629,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB181)) | v60(constB181) | (~v74(constB181)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23630,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB181) | (~v26(constB181)) | (~v74(constB181))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23629, 23628])).
% 26.71/17.98 tff(23631,plain,
% 26.71/17.98 (v60(constB181) | (~v26(constB181))),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23630, 314, 23624])).
% 26.71/17.98 tff(23632,plain,
% 26.71/17.98 (~v26(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23631, 23597])).
% 26.71/17.98 tff(23633,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23634,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23635,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 26.71/17.98 tff(23636,plain,
% 26.71/17.98 ((~v113(constB181)) | v112(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23635, 532, 23632])).
% 26.71/17.98 tff(23637,plain,
% 26.71/17.98 (v112(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23636, 23541])).
% 26.71/17.98 tff(23638,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23639,plain,
% 26.71/17.98 (((~v112(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v112(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23640,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181))))),
% 26.71/17.98 inference(monotonicity,[status(thm)],[23639])).
% 26.71/17.98 tff(23641,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 26.71/17.98 inference(transitivity,[status(thm)],[23640, 23638])).
% 26.71/17.98 tff(23642,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23643,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23642, 23641])).
% 26.71/17.98 tff(23644,plain,
% 26.71/17.98 (v108(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23643, 544, 23637])).
% 26.71/17.98 tff(23645,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23646,plain,
% 26.71/17.98 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23647,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 26.71/17.98 inference(monotonicity,[status(thm)],[23646])).
% 26.71/17.98 tff(23648,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 26.71/17.98 inference(transitivity,[status(thm)],[23647, 23645])).
% 26.71/17.98 tff(23649,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23650,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23649, 23648])).
% 26.71/17.98 tff(23651,plain,
% 26.71/17.98 (v110(constB182) | (~v108(constB181))),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23650, 564, 23576])).
% 26.71/17.98 tff(23652,plain,
% 26.71/17.98 (v110(constB182)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23651, 23644])).
% 26.71/17.98 tff(23653,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23654,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23655,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 26.71/17.98 tff(23656,plain,
% 26.71/17.98 (~v104(constB182)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23655, 582, 23576, 22907])).
% 26.71/17.98 tff(23657,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23658,plain,
% 26.71/17.98 (((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23659,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)))),
% 26.71/17.98 inference(monotonicity,[status(thm)],[23658])).
% 26.71/17.98 tff(23660,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182))),
% 26.71/17.98 inference(transitivity,[status(thm)],[23659, 23657])).
% 26.71/17.98 tff(23661,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23662,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | v102(constB182)),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23661, 23660])).
% 26.71/17.98 tff(23663,plain,
% 26.71/17.98 (v104(constB182) | v102(constB182)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23662, 596, 23576])).
% 26.71/17.98 tff(23664,plain,
% 26.71/17.98 (v102(constB182)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23663, 23656])).
% 26.71/17.98 tff(23665,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23666,plain,
% 26.71/17.98 (((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))) <=> ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23667,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))))),
% 26.71/17.98 inference(monotonicity,[status(thm)],[23666])).
% 26.71/17.98 tff(23668,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182)))),
% 26.71/17.98 inference(transitivity,[status(thm)],[23667, 23665])).
% 26.71/17.98 tff(23669,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23670,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | (~v1(constB182)) | v101(constB182) | (~v102(constB182))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23669, 23668])).
% 26.71/17.98 tff(23671,plain,
% 26.71/17.98 (v101(constB182) | (~v102(constB182))),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23670, 617, 23576, 23560])).
% 26.71/17.98 tff(23672,plain,
% 26.71/17.98 (v101(constB182)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23671, 23664])).
% 26.71/17.98 tff(23673,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23674,plain,
% 26.71/17.98 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23675,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 26.71/17.98 inference(monotonicity,[status(thm)],[23674])).
% 26.71/17.98 tff(23676,plain,
% 26.71/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 26.71/17.98 inference(transitivity,[status(thm)],[23675, 23673])).
% 26.71/17.98 tff(23677,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23678,plain,
% 26.71/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23677, 23676])).
% 26.71/17.98 tff(23679,plain,
% 26.71/17.98 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23678, 635, 23576])).
% 26.71/17.98 tff(23680,plain,
% 26.71/17.98 (v100(constB182) | (~v110(constB182))),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23679, 23672])).
% 26.71/17.98 tff(23681,plain,
% 26.71/17.98 (v100(constB182)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23680, 23652])).
% 26.71/17.98 tff(23682,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB181)) | (~v90(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB181)) | (~v90(constB181, bitIndex2)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23683,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v122(constB181)) | (~v90(constB181, bitIndex2)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23684,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v122(constB181)) | (~v90(constB181, bitIndex2))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 26.71/17.98 tff(23685,plain,
% 26.71/17.98 (~v122(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23684, 2298, 22966])).
% 26.71/17.98 tff(23686,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23687,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23688,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB181)) | (~v90(constB181, bitIndex1))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23687, 23686])).
% 26.71/17.98 tff(23689,plain,
% 26.71/17.98 (~v123(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23688, 2331, 22931])).
% 26.71/17.98 tff(23690,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23691,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23692,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB181)) | (~v90(constB181, bitIndex1))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23691, 23690])).
% 26.71/17.98 tff(23693,plain,
% 26.71/17.98 (~v124(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23692, 2342, 22931])).
% 26.71/17.98 tff(23694,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23695,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23696,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB181)) | (~v90(constB181, bitIndex1))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 26.71/17.98 tff(23697,plain,
% 26.71/17.98 (~v120(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23696, 2320, 22931])).
% 26.71/17.98 tff(23698,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB181)) | (~v90(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB181)) | (~v90(constB181, bitIndex2)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23699,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v121(constB181)) | (~v90(constB181, bitIndex2)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23700,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v121(constB181)) | (~v90(constB181, bitIndex2))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 26.71/17.98 tff(23701,plain,
% 26.71/17.98 (~v121(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23700, 2287, 22966])).
% 26.71/17.98 tff(23702,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23703,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23704,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23703, 23702])).
% 26.71/17.98 tff(23705,plain,
% 26.71/17.98 (~v119(constB181)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23704, 2309, 22931])).
% 26.71/17.98 tff(23706,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))),
% 26.71/17.98 inference(rewrite,[status(thm)],[])).
% 26.71/17.98 tff(23707,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))),
% 26.71/17.98 inference(quant_inst,[status(thm)],[])).
% 26.71/17.98 tff(23708,plain,
% 26.71/17.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2))),
% 26.71/17.98 inference(modus_ponens,[status(thm)],[23707, 23706])).
% 26.71/17.98 tff(23709,plain,
% 26.71/17.98 (~v130(constB181, bitIndex2)),
% 26.71/17.98 inference(unit_resolution,[status(thm)],[23708, 2356, 23705, 23701, 23697, 23693, 23689, 23685])).
% 26.71/17.98 tff(23710,plain,
% 26.71/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23711,plain,
% 26.71/17.99 ((v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2))) <=> ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23712,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23711])).
% 26.71/17.99 tff(23713,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23712, 23710])).
% 26.71/17.99 tff(23714,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23715,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23714, 23713])).
% 26.71/17.99 tff(23716,plain,
% 26.71/17.99 ((~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23715, 665, 23632])).
% 26.71/17.99 tff(23717,plain,
% 26.71/17.99 (~v127(constB181, bitIndex2)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23716, 23709])).
% 26.71/17.99 tff(23718,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23719,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23720,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 26.71/17.99 tff(23721,plain,
% 26.71/17.99 (v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23720, 683, 23576])).
% 26.71/17.99 tff(23722,plain,
% 26.71/17.99 (~v129(constB182, bitIndex2)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23721, 23717])).
% 26.71/17.99 tff(23723,plain,
% 26.71/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23724,plain,
% 26.71/17.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23725,plain,
% 26.71/17.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23724, 23723])).
% 26.71/17.99 tff(23726,plain,
% 26.71/17.99 ((~v90(constB182, bitIndex2)) | (~v100(constB182))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23725, 698, 23722])).
% 26.71/17.99 tff(23727,plain,
% 26.71/17.99 (~v90(constB182, bitIndex2)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23726, 23681])).
% 26.71/17.99 tff(23728,plain,
% 26.71/17.99 ((~v1(constB183)) <=> (~v1(constB183))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23729,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 26.71/17.99 tff(23730,plain,
% 26.71/17.99 (~v1(constB183)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 26.71/17.99 tff(23731,plain,
% 26.71/17.99 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23732,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 26.71/17.99 tff(23733,plain,
% 26.71/17.99 (nextState(constB182, constB183)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23732, 23731])).
% 26.71/17.99 tff(23734,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23735,plain,
% 26.71/17.99 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23736,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23735])).
% 26.71/17.99 tff(23737,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23736, 23734])).
% 26.71/17.99 tff(23738,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23739,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23738, 23737])).
% 26.71/17.99 tff(23740,plain,
% 26.71/17.99 (~v101(constB183)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23739, 342, 23733, 23730])).
% 26.71/17.99 tff(23741,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23742,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23743,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23742, 23741])).
% 26.71/17.99 tff(23744,plain,
% 26.71/17.99 (v101(constB183) | (~v100(constB183))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23743, 359, 23733])).
% 26.71/17.99 tff(23745,plain,
% 26.71/17.99 (~v100(constB183)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23744, 23740])).
% 26.71/17.99 tff(23746,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23747,plain,
% 26.71/17.99 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23748,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23747])).
% 26.71/17.99 tff(23749,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23748, 23746])).
% 26.71/17.99 tff(23750,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23751,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 26.71/17.99 tff(23752,plain,
% 26.71/17.99 (v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23751, 374, 23733])).
% 26.71/17.99 tff(23753,plain,
% 26.71/17.99 (v90(constB182, bitIndex2) | (~v90(constB183, bitIndex2))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23752, 23745])).
% 26.71/17.99 tff(23754,plain,
% 26.71/17.99 (~v90(constB183, bitIndex2)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23753, 23727])).
% 26.71/17.99 tff(23755,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23756,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23757,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 26.71/17.99 tff(23758,plain,
% 26.71/17.99 (~v130(constB181, bitIndex1)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23757, 2415, 23705, 23701, 23697, 23693, 23689, 23685])).
% 26.71/17.99 tff(23759,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23760,plain,
% 26.71/17.99 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23761,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23760])).
% 26.71/17.99 tff(23762,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23761, 23759])).
% 26.71/17.99 tff(23763,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23764,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23763, 23762])).
% 26.71/17.99 tff(23765,plain,
% 26.71/17.99 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23764, 751, 23632])).
% 26.71/17.99 tff(23766,plain,
% 26.71/17.99 (~v127(constB181, bitIndex1)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23765, 23758])).
% 26.71/17.99 tff(23767,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23768,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23769,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23768, 23767])).
% 26.71/17.99 tff(23770,plain,
% 26.71/17.99 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23769, 769, 23576])).
% 26.71/17.99 tff(23771,plain,
% 26.71/17.99 (~v129(constB182, bitIndex1)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23770, 23766])).
% 26.71/17.99 tff(23772,plain,
% 26.71/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23773,plain,
% 26.71/17.99 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23774,plain,
% 26.71/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23773])).
% 26.71/17.99 tff(23775,plain,
% 26.71/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23774, 23772])).
% 26.71/17.99 tff(23776,plain,
% 26.71/17.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23777,plain,
% 26.71/17.99 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23776, 23775])).
% 26.71/17.99 tff(23778,plain,
% 26.71/17.99 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23777, 784, 23771])).
% 26.71/17.99 tff(23779,plain,
% 26.71/17.99 (~v90(constB182, bitIndex1)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23778, 23681])).
% 26.71/17.99 tff(23780,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23781,plain,
% 26.71/17.99 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23782,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23781])).
% 26.71/17.99 tff(23783,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23782, 23780])).
% 26.71/17.99 tff(23784,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23785,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 26.71/17.99 tff(23786,plain,
% 26.71/17.99 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23785, 395, 23733])).
% 26.71/17.99 tff(23787,plain,
% 26.71/17.99 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23786, 23745])).
% 26.71/17.99 tff(23788,plain,
% 26.71/17.99 (~v90(constB183, bitIndex1)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23787, 23779])).
% 26.71/17.99 tff(23789,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23790,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23791,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 26.71/17.99 tff(23792,plain,
% 26.71/17.99 (v130(constB181, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23791, 2459, 23705, 23701, 23697, 23693, 23689, 23685])).
% 26.71/17.99 tff(23793,plain,
% 26.71/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23794,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23795,plain,
% 26.71/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23794, 23793])).
% 26.71/17.99 tff(23796,plain,
% 26.71/17.99 ((~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23795, 822, 23632])).
% 26.71/17.99 tff(23797,plain,
% 26.71/17.99 (v127(constB181, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23796, 23792])).
% 26.71/17.99 tff(23798,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23799,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23800,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23799, 23798])).
% 26.71/17.99 tff(23801,plain,
% 26.71/17.99 ((~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23800, 837, 23576])).
% 26.71/17.99 tff(23802,plain,
% 26.71/17.99 (v129(constB182, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23801, 23797])).
% 26.71/17.99 tff(23803,plain,
% 26.71/17.99 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23804,plain,
% 26.71/17.99 ((v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23805,plain,
% 26.71/17.99 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23804])).
% 26.71/17.99 tff(23806,plain,
% 26.71/17.99 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23805, 23803])).
% 26.71/17.99 tff(23807,plain,
% 26.71/17.99 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23808,plain,
% 26.71/17.99 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23807, 23806])).
% 26.71/17.99 tff(23809,plain,
% 26.71/17.99 (v90(constB182, bitIndex0) | (~v100(constB182))),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23808, 852, 23802])).
% 26.71/17.99 tff(23810,plain,
% 26.71/17.99 (v90(constB182, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23809, 23681])).
% 26.71/17.99 tff(23811,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23812,plain,
% 26.71/17.99 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 26.71/17.99 inference(rewrite,[status(thm)],[])).
% 26.71/17.99 tff(23813,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)))),
% 26.71/17.99 inference(monotonicity,[status(thm)],[23812])).
% 26.71/17.99 tff(23814,plain,
% 26.71/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 26.71/17.99 inference(transitivity,[status(thm)],[23813, 23811])).
% 26.71/17.99 tff(23815,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))),
% 26.71/17.99 inference(quant_inst,[status(thm)],[])).
% 26.71/17.99 tff(23816,plain,
% 26.71/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)),
% 26.71/17.99 inference(modus_ponens,[status(thm)],[23815, 23814])).
% 26.71/17.99 tff(23817,plain,
% 26.71/17.99 ((~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)),
% 26.71/17.99 inference(unit_resolution,[status(thm)],[23816, 870, 23733])).
% 26.71/17.99 tff(23818,plain,
% 26.71/17.99 ((~v90(constB182, bitIndex0)) | v90(constB183, bitIndex0)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23817, 23745])).
% 26.71/18.00 tff(23819,plain,
% 26.71/18.00 (v90(constB183, bitIndex0)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23818, 23810])).
% 26.71/18.00 tff(23820,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23821,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23822,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | v120(VarCurr))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23821, 23820])).
% 26.71/18.00 tff(23823,plain,
% 26.71/18.00 (v120(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23822, 889, 23819, 23788, 23754])).
% 26.71/18.00 tff(23824,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB183)) | v118(constB183))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23825,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23826,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB183)) | v118(constB183)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 26.71/18.00 tff(23827,plain,
% 26.71/18.00 (v118(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23826, 900, 23823])).
% 26.71/18.00 tff(23828,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23829,plain,
% 26.71/18.00 (((~v118(constB183)) | v117(constB183)) <=> (v117(constB183) | (~v118(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23830,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23829])).
% 26.71/18.00 tff(23831,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23830, 23828])).
% 26.71/18.00 tff(23832,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23833,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23832, 23831])).
% 26.71/18.00 tff(23834,plain,
% 26.71/18.00 (v117(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23833, 462, 23827])).
% 26.71/18.00 tff(23835,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23836,plain,
% 26.71/18.00 (((~v117(constB183)) | v116(constB183)) <=> (v116(constB183) | (~v117(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23837,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23836])).
% 26.71/18.00 tff(23838,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23837, 23835])).
% 26.71/18.00 tff(23839,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23840,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23839, 23838])).
% 26.71/18.00 tff(23841,plain,
% 26.71/18.00 (v116(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23840, 476, 23834])).
% 26.71/18.00 tff(23842,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23843,plain,
% 26.71/18.00 (((~v116(constB183)) | v115(constB183)) <=> (v115(constB183) | (~v116(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23844,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v116(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23843])).
% 26.71/18.00 tff(23845,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23844, 23842])).
% 26.71/18.00 tff(23846,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23847,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 26.71/18.00 tff(23848,plain,
% 26.71/18.00 (v115(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23847, 490, 23841])).
% 26.71/18.00 tff(23849,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23850,plain,
% 26.71/18.00 (((~v115(constB183)) | v114(constB183)) <=> (v114(constB183) | (~v115(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23851,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23850])).
% 26.71/18.00 tff(23852,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23851, 23849])).
% 26.71/18.00 tff(23853,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23854,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23853, 23852])).
% 26.71/18.00 tff(23855,plain,
% 26.71/18.00 (v114(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23854, 504, 23848])).
% 26.71/18.00 tff(23856,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB183)) | v113(constB183))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23857,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23858,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB183)) | v113(constB183)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23857, 23856])).
% 26.71/18.00 tff(23859,plain,
% 26.71/18.00 (v113(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23858, 518, 23855])).
% 26.71/18.00 tff(23860,assumption,(v26(constB183)), introduced(assumption)).
% 26.71/18.00 tff(23861,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23862,plain,
% 26.71/18.00 ($false),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23861, 120, 23860])).
% 26.71/18.00 tff(23863,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.00 tff(23864,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23865,plain,
% 26.71/18.00 ((v26(constB183) | (~v113(constB183)) | v112(constB183)) <=> (v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23866,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23865])).
% 26.71/18.00 tff(23867,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23866, 23864])).
% 26.71/18.00 tff(23868,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23869,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 26.71/18.00 tff(23870,plain,
% 26.71/18.00 (v112(constB183) | (~v113(constB183))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23869, 532, 23863])).
% 26.71/18.00 tff(23871,plain,
% 26.71/18.00 (v112(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23870, 23859])).
% 26.71/18.00 tff(23872,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23873,plain,
% 26.71/18.00 (((~v112(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v112(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23874,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23873])).
% 26.71/18.00 tff(23875,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23874, 23872])).
% 26.71/18.00 tff(23876,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23877,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23876, 23875])).
% 26.71/18.00 tff(23878,plain,
% 26.71/18.00 (v108(constB183)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23877, 544, 23871])).
% 26.71/18.00 tff(23879,plain,
% 26.71/18.00 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23880,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 26.71/18.00 tff(23881,plain,
% 26.71/18.00 (nextState(constB183, constB184)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 26.71/18.00 tff(23882,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23883,plain,
% 26.71/18.00 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23884,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23883])).
% 26.71/18.00 tff(23885,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23884, 23882])).
% 26.71/18.00 tff(23886,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23887,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23886, 23885])).
% 26.71/18.00 tff(23888,plain,
% 26.71/18.00 (v110(constB184) | (~v108(constB183))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23887, 564, 23881])).
% 26.71/18.00 tff(23889,plain,
% 26.71/18.00 (v110(constB184)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23888, 23878])).
% 26.71/18.00 tff(23890,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23891,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23892,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23891, 23890])).
% 26.71/18.00 tff(23893,plain,
% 26.71/18.00 (~v104(constB184)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23892, 582, 23881, 23730])).
% 26.71/18.00 tff(23894,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23895,plain,
% 26.71/18.00 (((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23896,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23895])).
% 26.71/18.00 tff(23897,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23896, 23894])).
% 26.71/18.00 tff(23898,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23899,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | v102(constB184)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23898, 23897])).
% 26.71/18.00 tff(23900,plain,
% 26.71/18.00 (v104(constB184) | v102(constB184)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23899, 596, 23881])).
% 26.71/18.00 tff(23901,plain,
% 26.71/18.00 (v102(constB184)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23900, 23893])).
% 26.71/18.00 tff(23902,plain,
% 26.71/18.00 (v1(constB184) <=> v1(constB184)),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23903,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 26.71/18.00 tff(23904,plain,
% 26.71/18.00 (v1(constB184)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23903, 23902])).
% 26.71/18.00 tff(23905,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23906,plain,
% 26.71/18.00 (((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))) <=> ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23907,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23906])).
% 26.71/18.00 tff(23908,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23907, 23905])).
% 26.71/18.00 tff(23909,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23910,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | (~v1(constB184)) | v101(constB184) | (~v102(constB184))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23909, 23908])).
% 26.71/18.00 tff(23911,plain,
% 26.71/18.00 (v101(constB184) | (~v102(constB184))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23910, 617, 23881, 23904])).
% 26.71/18.00 tff(23912,plain,
% 26.71/18.00 (v101(constB184)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23911, 23901])).
% 26.71/18.00 tff(23913,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23914,plain,
% 26.71/18.00 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23915,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23914])).
% 26.71/18.00 tff(23916,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23915, 23913])).
% 26.71/18.00 tff(23917,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23918,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 26.71/18.00 tff(23919,plain,
% 26.71/18.00 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23918, 635, 23881])).
% 26.71/18.00 tff(23920,plain,
% 26.71/18.00 (v100(constB184) | (~v110(constB184))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23919, 23912])).
% 26.71/18.00 tff(23921,plain,
% 26.71/18.00 (v100(constB184)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23920, 23889])).
% 26.71/18.00 tff(23922,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23923,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23924,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23923, 23922])).
% 26.71/18.00 tff(23925,plain,
% 26.71/18.00 (~v130(constB183, bitIndex2)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23924, 1005, 23823])).
% 26.71/18.00 tff(23926,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23927,plain,
% 26.71/18.00 ((v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2))) <=> ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23928,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23927])).
% 26.71/18.00 tff(23929,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23928, 23926])).
% 26.71/18.00 tff(23930,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23931,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 26.71/18.00 tff(23932,plain,
% 26.71/18.00 ((~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23931, 665, 23863])).
% 26.71/18.00 tff(23933,plain,
% 26.71/18.00 (~v127(constB183, bitIndex2)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23932, 23925])).
% 26.71/18.00 tff(23934,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23935,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23936,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 26.71/18.00 tff(23937,plain,
% 26.71/18.00 (v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23936, 683, 23881])).
% 26.71/18.00 tff(23938,plain,
% 26.71/18.00 (~v129(constB184, bitIndex2)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23937, 23933])).
% 26.71/18.00 tff(23939,plain,
% 26.71/18.00 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23940,plain,
% 26.71/18.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23941,plain,
% 26.71/18.00 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23940, 23939])).
% 26.71/18.00 tff(23942,plain,
% 26.71/18.00 ((~v90(constB184, bitIndex2)) | (~v100(constB184))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23941, 698, 23938])).
% 26.71/18.00 tff(23943,plain,
% 26.71/18.00 (~v90(constB184, bitIndex2)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23942, 23921])).
% 26.71/18.00 tff(23944,plain,
% 26.71/18.00 ((~v1(constB185)) <=> (~v1(constB185))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23945,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 26.71/18.00 tff(23946,plain,
% 26.71/18.00 (~v1(constB185)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23945, 23944])).
% 26.71/18.00 tff(23947,plain,
% 26.71/18.00 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23948,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 26.71/18.00 tff(23949,plain,
% 26.71/18.00 (nextState(constB184, constB185)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 26.71/18.00 tff(23950,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23951,plain,
% 26.71/18.00 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23952,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23951])).
% 26.71/18.00 tff(23953,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23952, 23950])).
% 26.71/18.00 tff(23954,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23955,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23954, 23953])).
% 26.71/18.00 tff(23956,plain,
% 26.71/18.00 (~v101(constB185)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23955, 342, 23949, 23946])).
% 26.71/18.00 tff(23957,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23958,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23959,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23958, 23957])).
% 26.71/18.00 tff(23960,plain,
% 26.71/18.00 (v101(constB185) | (~v100(constB185))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23959, 359, 23949])).
% 26.71/18.00 tff(23961,plain,
% 26.71/18.00 (~v100(constB185)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23960, 23956])).
% 26.71/18.00 tff(23962,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23963,plain,
% 26.71/18.00 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23964,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))))),
% 26.71/18.00 inference(monotonicity,[status(thm)],[23963])).
% 26.71/18.00 tff(23965,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 26.71/18.00 inference(transitivity,[status(thm)],[23964, 23962])).
% 26.71/18.00 tff(23966,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23967,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 26.71/18.00 tff(23968,plain,
% 26.71/18.00 (v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23967, 374, 23949])).
% 26.71/18.00 tff(23969,plain,
% 26.71/18.00 (v90(constB184, bitIndex2) | (~v90(constB185, bitIndex2))),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23968, 23961])).
% 26.71/18.00 tff(23970,plain,
% 26.71/18.00 (~v90(constB185, bitIndex2)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23969, 23943])).
% 26.71/18.00 tff(23971,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23972,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23973,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23972, 23971])).
% 26.71/18.00 tff(23974,plain,
% 26.71/18.00 (v130(constB183, bitIndex1)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23973, 1061, 23823])).
% 26.71/18.00 tff(23975,plain,
% 26.71/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23976,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 26.71/18.00 inference(quant_inst,[status(thm)],[])).
% 26.71/18.00 tff(23977,plain,
% 26.71/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 26.71/18.00 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 26.71/18.00 tff(23978,plain,
% 26.71/18.00 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23977, 1075, 23863])).
% 26.71/18.00 tff(23979,plain,
% 26.71/18.00 (v127(constB183, bitIndex1)),
% 26.71/18.00 inference(unit_resolution,[status(thm)],[23978, 23974])).
% 26.71/18.00 tff(23980,plain,
% 26.71/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 26.71/18.00 inference(rewrite,[status(thm)],[])).
% 26.71/18.00 tff(23981,plain,
% 26.71/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(23982,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[23981, 23980])).
% 26.71/18.01 tff(23983,plain,
% 26.71/18.01 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[23982, 1090, 23881])).
% 26.71/18.01 tff(23984,plain,
% 26.71/18.01 (v129(constB184, bitIndex1)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[23983, 23979])).
% 26.71/18.01 tff(23985,plain,
% 26.71/18.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(23986,plain,
% 26.71/18.01 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(23987,plain,
% 26.71/18.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[23986])).
% 26.71/18.01 tff(23988,plain,
% 26.71/18.01 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[23987, 23985])).
% 26.71/18.01 tff(23989,plain,
% 26.71/18.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(23990,plain,
% 26.71/18.01 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[23989, 23988])).
% 26.71/18.01 tff(23991,plain,
% 26.71/18.01 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[23990, 1105, 23984])).
% 26.71/18.01 tff(23992,plain,
% 26.71/18.01 (v90(constB184, bitIndex1)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[23991, 23921])).
% 26.71/18.01 tff(23993,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(23994,plain,
% 26.71/18.01 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(23995,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[23994])).
% 26.71/18.01 tff(23996,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 26.71/18.01 inference(transitivity,[status(thm)],[23995, 23993])).
% 26.71/18.01 tff(23997,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(23998,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[23997, 23996])).
% 26.71/18.01 tff(23999,plain,
% 26.71/18.01 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[23998, 1123, 23949])).
% 26.71/18.01 tff(24000,plain,
% 26.71/18.01 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[23999, 23961])).
% 26.71/18.01 tff(24001,plain,
% 26.71/18.01 (v90(constB185, bitIndex1)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24000, 23992])).
% 26.71/18.01 tff(24002,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24003,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24004,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24003, 24002])).
% 26.71/18.01 tff(24005,plain,
% 26.71/18.01 (~v130(constB183, bitIndex0)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24004, 1139, 23823])).
% 26.71/18.01 tff(24006,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24007,plain,
% 26.71/18.01 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24008,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24007])).
% 26.71/18.01 tff(24009,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24008, 24006])).
% 26.71/18.01 tff(24010,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24011,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24010, 24009])).
% 26.71/18.01 tff(24012,plain,
% 26.71/18.01 ((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24011, 1153, 23863])).
% 26.71/18.01 tff(24013,plain,
% 26.71/18.01 (~v127(constB183, bitIndex0)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24012, 24005])).
% 26.71/18.01 tff(24014,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24015,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24016,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 26.71/18.01 tff(24017,plain,
% 26.71/18.01 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24016, 1171, 23881])).
% 26.71/18.01 tff(24018,plain,
% 26.71/18.01 (~v129(constB184, bitIndex0)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24017, 24013])).
% 26.71/18.01 tff(24019,plain,
% 26.71/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24020,plain,
% 26.71/18.01 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24021,plain,
% 26.71/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24020])).
% 26.71/18.01 tff(24022,plain,
% 26.71/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24021, 24019])).
% 26.71/18.01 tff(24023,plain,
% 26.71/18.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24024,plain,
% 26.71/18.01 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24023, 24022])).
% 26.71/18.01 tff(24025,plain,
% 26.71/18.01 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24024, 1186, 24018])).
% 26.71/18.01 tff(24026,plain,
% 26.71/18.01 (~v90(constB184, bitIndex0)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24025, 23921])).
% 26.71/18.01 tff(24027,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24028,plain,
% 26.71/18.01 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24029,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24028])).
% 26.71/18.01 tff(24030,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24029, 24027])).
% 26.71/18.01 tff(24031,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24032,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 26.71/18.01 tff(24033,plain,
% 26.71/18.01 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24032, 416, 23949])).
% 26.71/18.01 tff(24034,plain,
% 26.71/18.01 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24033, 23961])).
% 26.71/18.01 tff(24035,plain,
% 26.71/18.01 (~v90(constB185, bitIndex0)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24034, 24026])).
% 26.71/18.01 tff(24036,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24037,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24038,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24037, 24036])).
% 26.71/18.01 tff(24039,plain,
% 26.71/18.01 (v121(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24038, 1213, 24035, 24001, 23970])).
% 26.71/18.01 tff(24040,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB185) | (~v121(constB185)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB185) | (~v121(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24041,plain,
% 26.71/18.01 (((~v121(constB185)) | v117(constB185)) <=> (v117(constB185) | (~v121(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24042,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB185) | (~v121(constB185))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24041])).
% 26.71/18.01 tff(24043,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB185) | (~v121(constB185)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24042, 24040])).
% 26.71/18.01 tff(24044,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24045,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB185) | (~v121(constB185))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 26.71/18.01 tff(24046,plain,
% 26.71/18.01 (v117(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24045, 1224, 24039])).
% 26.71/18.01 tff(24047,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24048,plain,
% 26.71/18.01 (((~v117(constB185)) | v116(constB185)) <=> (v116(constB185) | (~v117(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24049,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24048])).
% 26.71/18.01 tff(24050,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24049, 24047])).
% 26.71/18.01 tff(24051,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24052,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24051, 24050])).
% 26.71/18.01 tff(24053,plain,
% 26.71/18.01 (v116(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24052, 476, 24046])).
% 26.71/18.01 tff(24054,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24055,plain,
% 26.71/18.01 (((~v116(constB185)) | v115(constB185)) <=> (v115(constB185) | (~v116(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24056,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24055])).
% 26.71/18.01 tff(24057,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24056, 24054])).
% 26.71/18.01 tff(24058,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24059,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24058, 24057])).
% 26.71/18.01 tff(24060,plain,
% 26.71/18.01 (v115(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24059, 490, 24053])).
% 26.71/18.01 tff(24061,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24062,plain,
% 26.71/18.01 (((~v115(constB185)) | v114(constB185)) <=> (v114(constB185) | (~v115(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24063,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB185) | (~v115(constB185))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24062])).
% 26.71/18.01 tff(24064,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24063, 24061])).
% 26.71/18.01 tff(24065,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24066,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 26.71/18.01 tff(24067,plain,
% 26.71/18.01 (v114(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24066, 504, 24060])).
% 26.71/18.01 tff(24068,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB185)) | v113(constB185))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24069,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24070,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB185)) | v113(constB185)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24069, 24068])).
% 26.71/18.01 tff(24071,plain,
% 26.71/18.01 (v113(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24070, 518, 24067])).
% 26.71/18.01 tff(24072,assumption,(v26(constB185)), introduced(assumption)).
% 26.71/18.01 tff(24073,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24074,plain,
% 26.71/18.01 ($false),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24073, 120, 24072])).
% 26.71/18.01 tff(24075,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.01 tff(24076,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24077,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24078,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 26.71/18.01 tff(24079,plain,
% 26.71/18.01 ((~v113(constB185)) | v112(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24078, 532, 24075])).
% 26.71/18.01 tff(24080,plain,
% 26.71/18.01 (v112(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24079, 24071])).
% 26.71/18.01 tff(24081,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24082,plain,
% 26.71/18.01 (((~v112(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v112(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24083,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24082])).
% 26.71/18.01 tff(24084,plain,
% 26.71/18.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24083, 24081])).
% 26.71/18.01 tff(24085,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24086,plain,
% 26.71/18.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 26.71/18.01 tff(24087,plain,
% 26.71/18.01 (v108(constB185)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24086, 544, 24080])).
% 26.71/18.01 tff(24088,plain,
% 26.71/18.01 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24089,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 26.71/18.01 tff(24090,plain,
% 26.71/18.01 (nextState(constB185, constB186)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24089, 24088])).
% 26.71/18.01 tff(24091,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24092,plain,
% 26.71/18.01 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24093,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24092])).
% 26.71/18.01 tff(24094,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24093, 24091])).
% 26.71/18.01 tff(24095,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24096,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 26.71/18.01 tff(24097,plain,
% 26.71/18.01 (v110(constB186) | (~v108(constB185))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24096, 564, 24090])).
% 26.71/18.01 tff(24098,plain,
% 26.71/18.01 (v110(constB186)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24097, 24087])).
% 26.71/18.01 tff(24099,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24100,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24101,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24100, 24099])).
% 26.71/18.01 tff(24102,plain,
% 26.71/18.01 (~v104(constB186)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24101, 582, 24090, 23946])).
% 26.71/18.01 tff(24103,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24104,plain,
% 26.71/18.01 (((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24105,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24104])).
% 26.71/18.01 tff(24106,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24105, 24103])).
% 26.71/18.01 tff(24107,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24108,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | v102(constB186)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24107, 24106])).
% 26.71/18.01 tff(24109,plain,
% 26.71/18.01 (v104(constB186) | v102(constB186)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24108, 596, 24090])).
% 26.71/18.01 tff(24110,plain,
% 26.71/18.01 (v102(constB186)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24109, 24102])).
% 26.71/18.01 tff(24111,plain,
% 26.71/18.01 (v1(constB186) <=> v1(constB186)),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24112,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 26.71/18.01 tff(24113,plain,
% 26.71/18.01 (v1(constB186)),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24112, 24111])).
% 26.71/18.01 tff(24114,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24115,plain,
% 26.71/18.01 (((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))) <=> ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 26.71/18.01 inference(rewrite,[status(thm)],[])).
% 26.71/18.01 tff(24116,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))))),
% 26.71/18.01 inference(monotonicity,[status(thm)],[24115])).
% 26.71/18.01 tff(24117,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186)))),
% 26.71/18.01 inference(transitivity,[status(thm)],[24116, 24114])).
% 26.71/18.01 tff(24118,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 26.71/18.01 inference(quant_inst,[status(thm)],[])).
% 26.71/18.01 tff(24119,plain,
% 26.71/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | (~v1(constB186)) | v101(constB186) | (~v102(constB186))),
% 26.71/18.01 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 26.71/18.01 tff(24120,plain,
% 26.71/18.01 (v101(constB186) | (~v102(constB186))),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24119, 617, 24090, 24113])).
% 26.71/18.01 tff(24121,plain,
% 26.71/18.01 (v101(constB186)),
% 26.71/18.01 inference(unit_resolution,[status(thm)],[24120, 24110])).
% 26.71/18.01 tff(24122,plain,
% 26.71/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24123,plain,
% 26.71/18.02 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24124,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 26.71/18.02 inference(monotonicity,[status(thm)],[24123])).
% 26.71/18.02 tff(24125,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 26.71/18.02 inference(transitivity,[status(thm)],[24124, 24122])).
% 26.71/18.02 tff(24126,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24127,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24126, 24125])).
% 26.71/18.02 tff(24128,plain,
% 26.71/18.02 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24127, 635, 24090])).
% 26.71/18.02 tff(24129,plain,
% 26.71/18.02 (v100(constB186) | (~v110(constB186))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24128, 24121])).
% 26.71/18.02 tff(24130,plain,
% 26.71/18.02 (v100(constB186)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24129, 24098])).
% 26.71/18.02 tff(24131,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24132,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24133,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24132, 24131])).
% 26.71/18.02 tff(24134,plain,
% 26.71/18.02 (~v130(constB185, bitIndex2)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24133, 1325, 24039])).
% 26.71/18.02 tff(24135,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24136,plain,
% 26.71/18.02 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24137,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 26.71/18.02 inference(monotonicity,[status(thm)],[24136])).
% 26.71/18.02 tff(24138,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 26.71/18.02 inference(transitivity,[status(thm)],[24137, 24135])).
% 26.71/18.02 tff(24139,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24140,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 26.71/18.02 tff(24141,plain,
% 26.71/18.02 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24140, 665, 24075])).
% 26.71/18.02 tff(24142,plain,
% 26.71/18.02 (~v127(constB185, bitIndex2)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24141, 24134])).
% 26.71/18.02 tff(24143,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24144,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24145,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 26.71/18.02 tff(24146,plain,
% 26.71/18.02 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24145, 683, 24090])).
% 26.71/18.02 tff(24147,plain,
% 26.71/18.02 (~v129(constB186, bitIndex2)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24146, 24142])).
% 26.71/18.02 tff(24148,plain,
% 26.71/18.02 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24149,plain,
% 26.71/18.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24150,plain,
% 26.71/18.02 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2) | (~v100(VarNext)))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 26.71/18.02 tff(24151,plain,
% 26.71/18.02 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24150, 698, 24147])).
% 26.71/18.02 tff(24152,plain,
% 26.71/18.02 (~v90(constB186, bitIndex2)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24151, 24130])).
% 26.71/18.02 tff(24153,plain,
% 26.71/18.02 ((~v1(constB187)) <=> (~v1(constB187))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24154,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 26.71/18.02 tff(24155,plain,
% 26.71/18.02 (~v1(constB187)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24154, 24153])).
% 26.71/18.02 tff(24156,plain,
% 26.71/18.02 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24157,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 26.71/18.02 tff(24158,plain,
% 26.71/18.02 (nextState(constB186, constB187)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 26.71/18.02 tff(24159,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24160,plain,
% 26.71/18.02 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24161,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 26.71/18.02 inference(monotonicity,[status(thm)],[24160])).
% 26.71/18.02 tff(24162,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 26.71/18.02 inference(transitivity,[status(thm)],[24161, 24159])).
% 26.71/18.02 tff(24163,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24164,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24163, 24162])).
% 26.71/18.02 tff(24165,plain,
% 26.71/18.02 (~v101(constB187)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24164, 342, 24158, 24155])).
% 26.71/18.02 tff(24166,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24167,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24168,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 26.71/18.02 tff(24169,plain,
% 26.71/18.02 (v101(constB187) | (~v100(constB187))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24168, 359, 24158])).
% 26.71/18.02 tff(24170,plain,
% 26.71/18.02 (~v100(constB187)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24169, 24165])).
% 26.71/18.02 tff(24171,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24172,plain,
% 26.71/18.02 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24173,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 26.71/18.02 inference(monotonicity,[status(thm)],[24172])).
% 26.71/18.02 tff(24174,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 26.71/18.02 inference(transitivity,[status(thm)],[24173, 24171])).
% 26.71/18.02 tff(24175,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24176,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 26.71/18.02 tff(24177,plain,
% 26.71/18.02 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24176, 374, 24158])).
% 26.71/18.02 tff(24178,plain,
% 26.71/18.02 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24177, 24170])).
% 26.71/18.02 tff(24179,plain,
% 26.71/18.02 (~v90(constB187, bitIndex2)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24178, 24152])).
% 26.71/18.02 tff(24180,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24181,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24182,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24181, 24180])).
% 26.71/18.02 tff(24183,plain,
% 26.71/18.02 (v130(constB185, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24182, 1375, 24039])).
% 26.71/18.02 tff(24184,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24185,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24186,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 26.71/18.02 tff(24187,plain,
% 26.71/18.02 ((~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24186, 1075, 24075])).
% 26.71/18.02 tff(24188,plain,
% 26.71/18.02 (v127(constB185, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24187, 24183])).
% 26.71/18.02 tff(24189,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24190,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24191,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 26.71/18.02 tff(24192,plain,
% 26.71/18.02 ((~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24191, 1090, 24090])).
% 26.71/18.02 tff(24193,plain,
% 26.71/18.02 (v129(constB186, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24192, 24188])).
% 26.71/18.02 tff(24194,plain,
% 26.71/18.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24195,plain,
% 26.71/18.02 ((v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24196,plain,
% 26.71/18.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))))),
% 26.71/18.02 inference(monotonicity,[status(thm)],[24195])).
% 26.71/18.02 tff(24197,plain,
% 26.71/18.02 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 26.71/18.02 inference(transitivity,[status(thm)],[24196, 24194])).
% 26.71/18.02 tff(24198,plain,
% 26.71/18.02 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24199,plain,
% 26.71/18.02 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 26.71/18.02 tff(24200,plain,
% 26.71/18.02 (v90(constB186, bitIndex1) | (~v100(constB186))),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24199, 1105, 24193])).
% 26.71/18.02 tff(24201,plain,
% 26.71/18.02 (v90(constB186, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24200, 24130])).
% 26.71/18.02 tff(24202,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24203,plain,
% 26.71/18.02 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24204,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)))),
% 26.71/18.02 inference(monotonicity,[status(thm)],[24203])).
% 26.71/18.02 tff(24205,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 26.71/18.02 inference(transitivity,[status(thm)],[24204, 24202])).
% 26.71/18.02 tff(24206,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24207,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 26.71/18.02 tff(24208,plain,
% 26.71/18.02 ((~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24207, 1123, 24158])).
% 26.71/18.02 tff(24209,plain,
% 26.71/18.02 ((~v90(constB186, bitIndex1)) | v90(constB187, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24208, 24170])).
% 26.71/18.02 tff(24210,plain,
% 26.71/18.02 (v90(constB187, bitIndex1)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24209, 24201])).
% 26.71/18.02 tff(24211,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB185)) | (~v90(constB185, bitIndex1)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24212,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v120(constB185)) | (~v90(constB185, bitIndex1)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24213,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v120(constB185)) | (~v90(constB185, bitIndex1))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 26.71/18.02 tff(24214,plain,
% 26.71/18.02 (~v120(constB185)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24213, 2320, 24001])).
% 26.71/18.02 tff(24215,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB185)) | (~v90(constB185, bitIndex1)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24216,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v124(constB185)) | (~v90(constB185, bitIndex1)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24217,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v124(constB185)) | (~v90(constB185, bitIndex1))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 26.71/18.02 tff(24218,plain,
% 26.71/18.02 (~v124(constB185)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24217, 2342, 24001])).
% 26.71/18.02 tff(24219,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB185)) | v90(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB185)) | v90(constB185, bitIndex0))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24220,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | ((~v122(constB185)) | v90(constB185, bitIndex0))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24221,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, bitIndex0))) | (~v122(constB185)) | v90(constB185, bitIndex0)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24220, 24219])).
% 26.71/18.02 tff(24222,plain,
% 26.71/18.02 (~v122(constB185)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24221, 5817, 24035])).
% 26.71/18.02 tff(24223,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB185)) | (~v90(constB185, bitIndex1)))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24224,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v123(constB185)) | (~v90(constB185, bitIndex1)))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24225,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v123(constB185)) | (~v90(constB185, bitIndex1))),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24224, 24223])).
% 26.71/18.02 tff(24226,plain,
% 26.71/18.02 (~v123(constB185)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24225, 2331, 24001])).
% 26.71/18.02 tff(24227,assumption,(~v120(constB185)), introduced(assumption)).
% 26.71/18.02 tff(24228,assumption,(~v123(constB185)), introduced(assumption)).
% 26.71/18.02 tff(24229,assumption,(~v124(constB185)), introduced(assumption)).
% 26.71/18.02 tff(24230,assumption,(~v122(constB185)), introduced(assumption)).
% 26.71/18.02 tff(24231,assumption,(~v130(constB185, bitIndex0)), introduced(assumption)).
% 26.71/18.02 tff(24232,assumption,(~v119(constB185)), introduced(assumption)).
% 26.71/18.02 tff(24233,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24234,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24235,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24234, 24233])).
% 26.71/18.02 tff(24236,plain,
% 26.71/18.02 (v119(constB185) | v120(constB185) | v121(constB185) | v130(constB185, bitIndex0)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24235, 2459, 24229, 24228, 24230])).
% 26.71/18.02 tff(24237,plain,
% 26.71/18.02 (v121(constB185)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24236, 24231, 24227, 24232])).
% 26.71/18.02 tff(24238,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24239,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24240,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 26.71/18.02 tff(24241,plain,
% 26.71/18.02 ($false),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24240, 1413, 24231, 24237])).
% 26.71/18.02 tff(24242,plain,(v130(constB185, bitIndex0) | v120(constB185) | v119(constB185) | v124(constB185) | v123(constB185) | v122(constB185)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.02 tff(24243,plain,
% 26.71/18.02 (v119(constB185)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24242, 24231, 24230, 24229, 24228, 24227])).
% 26.71/18.02 tff(24244,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB185)) | v130(constB185, bitIndex0))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24245,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB185)) | v130(constB185, bitIndex0))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24246,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB185)) | v130(constB185, bitIndex0)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 26.71/18.02 tff(24247,plain,
% 26.71/18.02 ($false),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24246, 808, 24231, 24243])).
% 26.71/18.02 tff(24248,plain,(v130(constB185, bitIndex0) | v122(constB185) | v124(constB185) | v123(constB185) | v120(constB185)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.02 tff(24249,plain,
% 26.71/18.02 (v130(constB185, bitIndex0)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24248, 24226, 24222, 24218, 24214])).
% 26.71/18.02 tff(24250,plain,
% 26.71/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24251,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 26.71/18.02 inference(quant_inst,[status(thm)],[])).
% 26.71/18.02 tff(24252,plain,
% 26.71/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 26.71/18.02 inference(modus_ponens,[status(thm)],[24251, 24250])).
% 26.71/18.02 tff(24253,plain,
% 26.71/18.02 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24252, 822, 24075])).
% 26.71/18.02 tff(24254,plain,
% 26.71/18.02 (v127(constB185, bitIndex0)),
% 26.71/18.02 inference(unit_resolution,[status(thm)],[24253, 24249])).
% 26.71/18.02 tff(24255,plain,
% 26.71/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 26.71/18.02 inference(rewrite,[status(thm)],[])).
% 26.71/18.02 tff(24256,plain,
% 26.71/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24257,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 26.71/18.03 tff(24258,plain,
% 26.71/18.03 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24257, 837, 24090])).
% 26.71/18.03 tff(24259,plain,
% 26.71/18.03 (v129(constB186, bitIndex0)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24258, 24254])).
% 26.71/18.03 tff(24260,plain,
% 26.71/18.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24261,plain,
% 26.71/18.03 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24262,plain,
% 26.71/18.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24261])).
% 26.71/18.03 tff(24263,plain,
% 26.71/18.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24262, 24260])).
% 26.71/18.03 tff(24264,plain,
% 26.71/18.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24265,plain,
% 26.71/18.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24264, 24263])).
% 26.71/18.03 tff(24266,plain,
% 26.71/18.03 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24265, 852, 24259])).
% 26.71/18.03 tff(24267,plain,
% 26.71/18.03 (v90(constB186, bitIndex0)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24266, 24130])).
% 26.71/18.03 tff(24268,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24269,plain,
% 26.71/18.03 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24270,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24269])).
% 26.71/18.03 tff(24271,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24270, 24268])).
% 26.71/18.03 tff(24272,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24273,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24272, 24271])).
% 26.71/18.03 tff(24274,plain,
% 26.71/18.03 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24273, 870, 24158])).
% 26.71/18.03 tff(24275,plain,
% 26.71/18.03 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24274, 24170])).
% 26.71/18.03 tff(24276,plain,
% 26.71/18.03 (v90(constB187, bitIndex0)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24275, 24267])).
% 26.71/18.03 tff(24277,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24278,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24279,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24278, 24277])).
% 26.71/18.03 tff(24280,plain,
% 26.71/18.03 (v122(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24279, 1454, 24276, 24210, 24179])).
% 26.71/18.03 tff(24281,assumption,(v122(constB187)), introduced(assumption)).
% 26.71/18.03 tff(24282,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24283,plain,
% 26.71/18.03 (((~v122(constB187)) | v116(constB187)) <=> (v116(constB187) | (~v122(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24284,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v122(constB187))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24283])).
% 26.71/18.03 tff(24285,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24284, 24282])).
% 26.71/18.03 tff(24286,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24287,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24286, 24285])).
% 26.71/18.03 tff(24288,plain,
% 26.71/18.03 (v116(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24287, 1465, 24281])).
% 26.71/18.03 tff(24289,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24290,plain,
% 26.71/18.03 (((~v116(constB187)) | v115(constB187)) <=> (v115(constB187) | (~v116(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24291,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24290])).
% 26.71/18.03 tff(24292,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24291, 24289])).
% 26.71/18.03 tff(24293,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24294,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24293, 24292])).
% 26.71/18.03 tff(24295,plain,
% 26.71/18.03 (v115(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24294, 490, 24288])).
% 26.71/18.03 tff(24296,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24297,plain,
% 26.71/18.03 (((~v115(constB187)) | v114(constB187)) <=> (v114(constB187) | (~v115(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24298,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24297])).
% 26.71/18.03 tff(24299,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24298, 24296])).
% 26.71/18.03 tff(24300,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24301,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24300, 24299])).
% 26.71/18.03 tff(24302,plain,
% 26.71/18.03 (v114(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24301, 504, 24295])).
% 26.71/18.03 tff(24303,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24304,plain,
% 26.71/18.03 (((~v114(constB187)) | v113(constB187)) <=> (v113(constB187) | (~v114(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24305,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24304])).
% 26.71/18.03 tff(24306,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24305, 24303])).
% 26.71/18.03 tff(24307,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24308,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 26.71/18.03 tff(24309,plain,
% 26.71/18.03 (v113(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24308, 518, 24302])).
% 26.71/18.03 tff(24310,assumption,(v26(constB187)), introduced(assumption)).
% 26.71/18.03 tff(24311,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24312,plain,
% 26.71/18.03 ($false),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24311, 120, 24310])).
% 26.71/18.03 tff(24313,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.03 tff(24314,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24315,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24316,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | (~v113(constB187)) | v112(constB187)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24315, 24314])).
% 26.71/18.03 tff(24317,plain,
% 26.71/18.03 ((~v113(constB187)) | v112(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24316, 532, 24313])).
% 26.71/18.03 tff(24318,plain,
% 26.71/18.03 (v112(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24317, 24309])).
% 26.71/18.03 tff(24319,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24320,plain,
% 26.71/18.03 (((~v112(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v112(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24321,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24320])).
% 26.71/18.03 tff(24322,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24321, 24319])).
% 26.71/18.03 tff(24323,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24324,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 26.71/18.03 tff(24325,plain,
% 26.71/18.03 (v108(constB187)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24324, 544, 24318])).
% 26.71/18.03 tff(24326,plain,
% 26.71/18.03 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24327,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 26.71/18.03 tff(24328,plain,
% 26.71/18.03 (nextState(constB187, constB188)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 26.71/18.03 tff(24329,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24330,plain,
% 26.71/18.03 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24331,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24330])).
% 26.71/18.03 tff(24332,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24331, 24329])).
% 26.71/18.03 tff(24333,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24334,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24333, 24332])).
% 26.71/18.03 tff(24335,plain,
% 26.71/18.03 (v110(constB188) | (~v108(constB187))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24334, 564, 24328])).
% 26.71/18.03 tff(24336,plain,
% 26.71/18.03 (v110(constB188)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24335, 24325])).
% 26.71/18.03 tff(24337,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24338,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24339,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24338, 24337])).
% 26.71/18.03 tff(24340,plain,
% 26.71/18.03 (~v104(constB188)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24339, 582, 24328, 24155])).
% 26.71/18.03 tff(24341,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24342,plain,
% 26.71/18.03 (((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24343,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24342])).
% 26.71/18.03 tff(24344,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24343, 24341])).
% 26.71/18.03 tff(24345,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24346,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | v102(constB188)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24345, 24344])).
% 26.71/18.03 tff(24347,plain,
% 26.71/18.03 (v104(constB188) | v102(constB188)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24346, 596, 24328])).
% 26.71/18.03 tff(24348,plain,
% 26.71/18.03 (v102(constB188)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24347, 24340])).
% 26.71/18.03 tff(24349,plain,
% 26.71/18.03 (v1(constB188) <=> v1(constB188)),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24350,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 26.71/18.03 tff(24351,plain,
% 26.71/18.03 (v1(constB188)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 26.71/18.03 tff(24352,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24353,plain,
% 26.71/18.03 (((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))) <=> ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24354,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24353])).
% 26.71/18.03 tff(24355,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24354, 24352])).
% 26.71/18.03 tff(24356,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24357,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | (~v1(constB188)) | v101(constB188) | (~v102(constB188))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 26.71/18.03 tff(24358,plain,
% 26.71/18.03 (v101(constB188) | (~v102(constB188))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24357, 617, 24328, 24351])).
% 26.71/18.03 tff(24359,plain,
% 26.71/18.03 (v101(constB188)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24358, 24348])).
% 26.71/18.03 tff(24360,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24361,plain,
% 26.71/18.03 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24362,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24361])).
% 26.71/18.03 tff(24363,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24362, 24360])).
% 26.71/18.03 tff(24364,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24365,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24364, 24363])).
% 26.71/18.03 tff(24366,plain,
% 26.71/18.03 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24365, 635, 24328])).
% 26.71/18.03 tff(24367,plain,
% 26.71/18.03 (v100(constB188) | (~v110(constB188))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24366, 24359])).
% 26.71/18.03 tff(24368,plain,
% 26.71/18.03 (v100(constB188)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24367, 24336])).
% 26.71/18.03 tff(24369,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24370,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24371,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 26.71/18.03 tff(24372,plain,
% 26.71/18.03 (v130(constB187, bitIndex2)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24371, 1546, 24281])).
% 26.71/18.03 tff(24373,plain,
% 26.71/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24374,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24375,plain,
% 26.71/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24374, 24373])).
% 26.71/18.03 tff(24376,plain,
% 26.71/18.03 ((~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24375, 1560, 24313])).
% 26.71/18.03 tff(24377,plain,
% 26.71/18.03 (v127(constB187, bitIndex2)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24376, 24372])).
% 26.71/18.03 tff(24378,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24379,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24380,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24379, 24378])).
% 26.71/18.03 tff(24381,plain,
% 26.71/18.03 ((~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24380, 1575, 24328])).
% 26.71/18.03 tff(24382,plain,
% 26.71/18.03 (v129(constB188, bitIndex2)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24381, 24377])).
% 26.71/18.03 tff(24383,plain,
% 26.71/18.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24384,plain,
% 26.71/18.03 ((v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24385,plain,
% 26.71/18.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24384])).
% 26.71/18.03 tff(24386,plain,
% 26.71/18.03 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24385, 24383])).
% 26.71/18.03 tff(24387,plain,
% 26.71/18.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24388,plain,
% 26.71/18.03 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24387, 24386])).
% 26.71/18.03 tff(24389,plain,
% 26.71/18.03 (v90(constB188, bitIndex2) | (~v100(constB188))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24388, 1590, 24382])).
% 26.71/18.03 tff(24390,plain,
% 26.71/18.03 (v90(constB188, bitIndex2)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24389, 24368])).
% 26.71/18.03 tff(24391,plain,
% 26.71/18.03 ((~v1(constB189)) <=> (~v1(constB189))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24392,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 26.71/18.03 tff(24393,plain,
% 26.71/18.03 (~v1(constB189)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24392, 24391])).
% 26.71/18.03 tff(24394,plain,
% 26.71/18.03 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24395,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 26.71/18.03 tff(24396,plain,
% 26.71/18.03 (nextState(constB188, constB189)),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 26.71/18.03 tff(24397,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24398,plain,
% 26.71/18.03 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24399,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 26.71/18.03 inference(monotonicity,[status(thm)],[24398])).
% 26.71/18.03 tff(24400,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 26.71/18.03 inference(transitivity,[status(thm)],[24399, 24397])).
% 26.71/18.03 tff(24401,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24402,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24401, 24400])).
% 26.71/18.03 tff(24403,plain,
% 26.71/18.03 (~v101(constB189)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24402, 342, 24396, 24393])).
% 26.71/18.03 tff(24404,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 26.71/18.03 inference(rewrite,[status(thm)],[])).
% 26.71/18.03 tff(24405,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 26.71/18.03 inference(quant_inst,[status(thm)],[])).
% 26.71/18.03 tff(24406,plain,
% 26.71/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 26.71/18.03 inference(modus_ponens,[status(thm)],[24405, 24404])).
% 26.71/18.03 tff(24407,plain,
% 26.71/18.03 (v101(constB189) | (~v100(constB189))),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24406, 359, 24396])).
% 26.71/18.03 tff(24408,plain,
% 26.71/18.03 (~v100(constB189)),
% 26.71/18.03 inference(unit_resolution,[status(thm)],[24407, 24403])).
% 26.71/18.03 tff(24409,plain,
% 26.71/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24410,plain,
% 26.71/18.04 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24411,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24410])).
% 26.71/18.04 tff(24412,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24411, 24409])).
% 26.71/18.04 tff(24413,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24414,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24413, 24412])).
% 26.71/18.04 tff(24415,plain,
% 26.71/18.04 ((~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24414, 1626, 24396])).
% 26.71/18.04 tff(24416,plain,
% 26.71/18.04 ((~v90(constB188, bitIndex2)) | v90(constB189, bitIndex2)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24415, 24408])).
% 26.71/18.04 tff(24417,plain,
% 26.71/18.04 (v90(constB189, bitIndex2)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24416, 24390])).
% 26.71/18.04 tff(24418,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24419,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24420,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 26.71/18.04 tff(24421,plain,
% 26.71/18.04 (~v130(constB187, bitIndex0)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24420, 1683, 24281])).
% 26.71/18.04 tff(24422,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24423,plain,
% 26.71/18.04 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24424,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24423])).
% 26.71/18.04 tff(24425,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24424, 24422])).
% 26.71/18.04 tff(24426,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24427,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 26.71/18.04 tff(24428,plain,
% 26.71/18.04 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24427, 1153, 24313])).
% 26.71/18.04 tff(24429,plain,
% 26.71/18.04 (~v127(constB187, bitIndex0)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24428, 24421])).
% 26.71/18.04 tff(24430,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24431,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24432,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24431, 24430])).
% 26.71/18.04 tff(24433,plain,
% 26.71/18.04 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24432, 1171, 24328])).
% 26.71/18.04 tff(24434,plain,
% 26.71/18.04 (~v129(constB188, bitIndex0)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24433, 24429])).
% 26.71/18.04 tff(24435,plain,
% 26.71/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24436,plain,
% 26.71/18.04 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24437,plain,
% 26.71/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24436])).
% 26.71/18.04 tff(24438,plain,
% 26.71/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24437, 24435])).
% 26.71/18.04 tff(24439,plain,
% 26.71/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24440,plain,
% 26.71/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 26.71/18.04 tff(24441,plain,
% 26.71/18.04 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24440, 1186, 24434])).
% 26.71/18.04 tff(24442,plain,
% 26.71/18.04 (~v90(constB188, bitIndex0)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24441, 24368])).
% 26.71/18.04 tff(24443,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24444,plain,
% 26.71/18.04 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24445,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24444])).
% 26.71/18.04 tff(24446,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24445, 24443])).
% 26.71/18.04 tff(24447,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24448,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 26.71/18.04 tff(24449,plain,
% 26.71/18.04 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24448, 416, 24396])).
% 26.71/18.04 tff(24450,plain,
% 26.71/18.04 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24449, 24408])).
% 26.71/18.04 tff(24451,plain,
% 26.71/18.04 (~v90(constB189, bitIndex0)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24450, 24442])).
% 26.71/18.04 tff(24452,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24453,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24454,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 26.71/18.04 tff(24455,plain,
% 26.71/18.04 (~v130(constB187, bitIndex1)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24454, 1642, 24281])).
% 26.71/18.04 tff(24456,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24457,plain,
% 26.71/18.04 ((v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1))) <=> ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24458,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24457])).
% 26.71/18.04 tff(24459,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24458, 24456])).
% 26.71/18.04 tff(24460,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24461,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24460, 24459])).
% 26.71/18.04 tff(24462,plain,
% 26.71/18.04 ((~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24461, 751, 24313])).
% 26.71/18.04 tff(24463,plain,
% 26.71/18.04 (~v127(constB187, bitIndex1)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24462, 24455])).
% 26.71/18.04 tff(24464,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24465,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24466,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 26.71/18.04 tff(24467,plain,
% 26.71/18.04 (v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24466, 769, 24328])).
% 26.71/18.04 tff(24468,plain,
% 26.71/18.04 (~v129(constB188, bitIndex1)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24467, 24463])).
% 26.71/18.04 tff(24469,plain,
% 26.71/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24470,plain,
% 26.71/18.04 (((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24471,plain,
% 26.71/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24470])).
% 26.71/18.04 tff(24472,plain,
% 26.71/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24471, 24469])).
% 26.71/18.04 tff(24473,plain,
% 26.71/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24474,plain,
% 26.71/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24473, 24472])).
% 26.71/18.04 tff(24475,plain,
% 26.71/18.04 ((~v90(constB188, bitIndex1)) | (~v100(constB188))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24474, 784, 24468])).
% 26.71/18.04 tff(24476,plain,
% 26.71/18.04 (~v90(constB188, bitIndex1)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24475, 24368])).
% 26.71/18.04 tff(24477,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24478,plain,
% 26.71/18.04 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24479,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24478])).
% 26.71/18.04 tff(24480,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24479, 24477])).
% 26.71/18.04 tff(24481,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24482,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24481, 24480])).
% 26.71/18.04 tff(24483,plain,
% 26.71/18.04 (v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24482, 395, 24396])).
% 26.71/18.04 tff(24484,plain,
% 26.71/18.04 (v90(constB188, bitIndex1) | (~v90(constB189, bitIndex1))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24483, 24408])).
% 26.71/18.04 tff(24485,plain,
% 26.71/18.04 (~v90(constB189, bitIndex1)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24484, 24476])).
% 26.71/18.04 tff(24486,assumption,(~v123(constB189)), introduced(assumption)).
% 26.71/18.04 tff(24487,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24488,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24489,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189)),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 26.71/18.04 tff(24490,plain,
% 26.71/18.04 (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24489, 1727, 24486])).
% 26.71/18.04 tff(24491,plain,
% 26.71/18.04 ($false),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24490, 24485, 24451, 24417])).
% 26.71/18.04 tff(24492,plain,((~v122(constB187)) | v123(constB189)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.04 tff(24493,plain,
% 26.71/18.04 (v123(constB189)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24492, 24280])).
% 26.71/18.04 tff(24494,assumption,(v123(constB189)), introduced(assumption)).
% 26.71/18.04 tff(24495,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB189) | (~v123(constB189)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v123(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24496,plain,
% 26.71/18.04 (((~v123(constB189)) | v115(constB189)) <=> (v115(constB189) | (~v123(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24497,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB189) | (~v123(constB189))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24496])).
% 26.71/18.04 tff(24498,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v123(constB189)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24497, 24495])).
% 26.71/18.04 tff(24499,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24500,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB189) | (~v123(constB189))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24499, 24498])).
% 26.71/18.04 tff(24501,plain,
% 26.71/18.04 (v115(constB189)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24500, 1784, 24494])).
% 26.71/18.04 tff(24502,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24503,plain,
% 26.71/18.04 (((~v115(constB189)) | v114(constB189)) <=> (v114(constB189) | (~v115(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24504,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24503])).
% 26.71/18.04 tff(24505,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24504, 24502])).
% 26.71/18.04 tff(24506,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24507,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24506, 24505])).
% 26.71/18.04 tff(24508,plain,
% 26.71/18.04 (v114(constB189)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24507, 504, 24501])).
% 26.71/18.04 tff(24509,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24510,plain,
% 26.71/18.04 (((~v114(constB189)) | v113(constB189)) <=> (v113(constB189) | (~v114(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24511,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24510])).
% 26.71/18.04 tff(24512,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24511, 24509])).
% 26.71/18.04 tff(24513,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24514,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 26.71/18.04 tff(24515,plain,
% 26.71/18.04 (v113(constB189)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24514, 518, 24508])).
% 26.71/18.04 tff(24516,assumption,(v26(constB189)), introduced(assumption)).
% 26.71/18.04 tff(24517,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24518,plain,
% 26.71/18.04 ($false),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24517, 120, 24516])).
% 26.71/18.04 tff(24519,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 26.71/18.04 tff(24520,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | v112(constB189) | (~v113(constB189)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24521,plain,
% 26.71/18.04 ((v26(constB189) | (~v113(constB189)) | v112(constB189)) <=> (v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24522,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | v112(constB189) | (~v113(constB189))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24521])).
% 26.71/18.04 tff(24523,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24522, 24520])).
% 26.71/18.04 tff(24524,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24525,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24524, 24523])).
% 26.71/18.04 tff(24526,plain,
% 26.71/18.04 (v112(constB189) | (~v113(constB189))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24525, 532, 24519])).
% 26.71/18.04 tff(24527,plain,
% 26.71/18.04 (v112(constB189)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24526, 24515])).
% 26.71/18.04 tff(24528,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24529,plain,
% 26.71/18.04 (((~v112(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v112(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24530,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24529])).
% 26.71/18.04 tff(24531,plain,
% 26.71/18.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24530, 24528])).
% 26.71/18.04 tff(24532,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24533,plain,
% 26.71/18.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 26.71/18.04 tff(24534,plain,
% 26.71/18.04 (v108(constB189)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24533, 544, 24527])).
% 26.71/18.04 tff(24535,plain,
% 26.71/18.04 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24536,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 26.71/18.04 tff(24537,plain,
% 26.71/18.04 (nextState(constB189, constB190)),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 26.71/18.04 tff(24538,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24539,plain,
% 26.71/18.04 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24540,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 26.71/18.04 inference(monotonicity,[status(thm)],[24539])).
% 26.71/18.04 tff(24541,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 26.71/18.04 inference(transitivity,[status(thm)],[24540, 24538])).
% 26.71/18.04 tff(24542,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 26.71/18.04 inference(quant_inst,[status(thm)],[])).
% 26.71/18.04 tff(24543,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 26.71/18.04 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 26.71/18.04 tff(24544,plain,
% 26.71/18.04 (v110(constB190) | (~v108(constB189))),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24543, 564, 24537])).
% 26.71/18.04 tff(24545,plain,
% 26.71/18.04 (v110(constB190)),
% 26.71/18.04 inference(unit_resolution,[status(thm)],[24544, 24534])).
% 26.71/18.04 tff(24546,plain,
% 26.71/18.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 26.71/18.04 inference(rewrite,[status(thm)],[])).
% 26.71/18.04 tff(24547,plain,
% 26.71/18.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24548,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24547, 24546])).
% 26.71/18.05 tff(24549,plain,
% 26.71/18.05 (~v104(constB190)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24548, 582, 24537, 24393])).
% 26.71/18.05 tff(24550,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24551,plain,
% 26.71/18.05 (((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24552,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24551])).
% 26.71/18.05 tff(24553,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24552, 24550])).
% 26.71/18.05 tff(24554,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24555,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | v102(constB190)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24554, 24553])).
% 26.71/18.05 tff(24556,plain,
% 26.71/18.05 (v104(constB190) | v102(constB190)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24555, 596, 24537])).
% 26.71/18.05 tff(24557,plain,
% 26.71/18.05 (v102(constB190)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24556, 24549])).
% 26.71/18.05 tff(24558,plain,
% 26.71/18.05 (v1(constB190) <=> v1(constB190)),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24559,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 26.71/18.05 tff(24560,plain,
% 26.71/18.05 (v1(constB190)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24559, 24558])).
% 26.71/18.05 tff(24561,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24562,plain,
% 26.71/18.05 (((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))) <=> ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24563,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24562])).
% 26.71/18.05 tff(24564,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190)))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24563, 24561])).
% 26.71/18.05 tff(24565,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24566,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | (~v1(constB190)) | v101(constB190) | (~v102(constB190))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 26.71/18.05 tff(24567,plain,
% 26.71/18.05 (v101(constB190) | (~v102(constB190))),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24566, 617, 24537, 24560])).
% 26.71/18.05 tff(24568,plain,
% 26.71/18.05 (v101(constB190)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24567, 24557])).
% 26.71/18.05 tff(24569,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24570,plain,
% 26.71/18.05 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24571,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24570])).
% 26.71/18.05 tff(24572,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24571, 24569])).
% 26.71/18.05 tff(24573,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24574,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 26.71/18.05 tff(24575,plain,
% 26.71/18.05 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24574, 635, 24537])).
% 26.71/18.05 tff(24576,plain,
% 26.71/18.05 (v100(constB190) | (~v110(constB190))),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24575, 24568])).
% 26.71/18.05 tff(24577,plain,
% 26.71/18.05 (v100(constB190)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24576, 24545])).
% 26.71/18.05 tff(24578,plain,
% 26.71/18.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24579,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24580,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 26.71/18.05 tff(24581,plain,
% 26.71/18.05 (v130(constB189, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24580, 1738, 24494])).
% 26.71/18.05 tff(24582,plain,
% 26.71/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24583,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24584,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 26.71/18.05 tff(24585,plain,
% 26.71/18.05 ((~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24584, 1560, 24519])).
% 26.71/18.05 tff(24586,plain,
% 26.71/18.05 (v127(constB189, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24585, 24581])).
% 26.71/18.05 tff(24587,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24588,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24589,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24588, 24587])).
% 26.71/18.05 tff(24590,plain,
% 26.71/18.05 ((~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24589, 1575, 24537])).
% 26.71/18.05 tff(24591,plain,
% 26.71/18.05 (v129(constB190, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24590, 24586])).
% 26.71/18.05 tff(24592,plain,
% 26.71/18.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24593,plain,
% 26.71/18.05 ((v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24594,plain,
% 26.71/18.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24593])).
% 26.71/18.05 tff(24595,plain,
% 26.71/18.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24594, 24592])).
% 26.71/18.05 tff(24596,plain,
% 26.71/18.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24597,plain,
% 26.71/18.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24596, 24595])).
% 26.71/18.05 tff(24598,plain,
% 26.71/18.05 (v90(constB190, bitIndex2) | (~v100(constB190))),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24597, 1590, 24591])).
% 26.71/18.05 tff(24599,plain,
% 26.71/18.05 (v90(constB190, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24598, 24577])).
% 26.71/18.05 tff(24600,plain,
% 26.71/18.05 ((~v1(constB191)) <=> (~v1(constB191))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24601,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 26.71/18.05 tff(24602,plain,
% 26.71/18.05 (~v1(constB191)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 26.71/18.05 tff(24603,plain,
% 26.71/18.05 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24604,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 26.71/18.05 tff(24605,plain,
% 26.71/18.05 (nextState(constB190, constB191)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24604, 24603])).
% 26.71/18.05 tff(24606,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24607,plain,
% 26.71/18.05 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24608,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24607])).
% 26.71/18.05 tff(24609,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24608, 24606])).
% 26.71/18.05 tff(24610,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24611,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24610, 24609])).
% 26.71/18.05 tff(24612,plain,
% 26.71/18.05 (~v101(constB191)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24611, 342, 24605, 24602])).
% 26.71/18.05 tff(24613,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24614,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24615,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 26.71/18.05 tff(24616,plain,
% 26.71/18.05 (v101(constB191) | (~v100(constB191))),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24615, 359, 24605])).
% 26.71/18.05 tff(24617,plain,
% 26.71/18.05 (~v100(constB191)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24616, 24612])).
% 26.71/18.05 tff(24618,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24619,plain,
% 26.71/18.05 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24620,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24619])).
% 26.71/18.05 tff(24621,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24620, 24618])).
% 26.71/18.05 tff(24622,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24623,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 26.71/18.05 tff(24624,plain,
% 26.71/18.05 ((~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24623, 1626, 24605])).
% 26.71/18.05 tff(24625,plain,
% 26.71/18.05 ((~v90(constB190, bitIndex2)) | v90(constB191, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24624, 24617])).
% 26.71/18.05 tff(24626,plain,
% 26.71/18.05 (v90(constB191, bitIndex2)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24625, 24599])).
% 26.71/18.05 tff(24627,plain,
% 26.71/18.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24628,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24629,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24628, 24627])).
% 26.71/18.05 tff(24630,plain,
% 26.71/18.05 (v130(constB189, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24629, 1934, 24494])).
% 26.71/18.05 tff(24631,plain,
% 26.71/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24632,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24633,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 26.71/18.05 tff(24634,plain,
% 26.71/18.05 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24633, 822, 24519])).
% 26.71/18.05 tff(24635,plain,
% 26.71/18.05 (v127(constB189, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24634, 24630])).
% 26.71/18.05 tff(24636,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24637,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24638,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24637, 24636])).
% 26.71/18.05 tff(24639,plain,
% 26.71/18.05 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24638, 837, 24537])).
% 26.71/18.05 tff(24640,plain,
% 26.71/18.05 (v129(constB190, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24639, 24635])).
% 26.71/18.05 tff(24641,plain,
% 26.71/18.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24642,plain,
% 26.71/18.05 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24643,plain,
% 26.71/18.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24642])).
% 26.71/18.05 tff(24644,plain,
% 26.71/18.05 (((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24643, 24641])).
% 26.71/18.05 tff(24645,plain,
% 26.71/18.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24646,plain,
% 26.71/18.05 ((~![VarNext: state_type] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24645, 24644])).
% 26.71/18.05 tff(24647,plain,
% 26.71/18.05 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24646, 852, 24640])).
% 26.71/18.05 tff(24648,plain,
% 26.71/18.05 (v90(constB190, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24647, 24577])).
% 26.71/18.05 tff(24649,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24650,plain,
% 26.71/18.05 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24651,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 26.71/18.05 inference(monotonicity,[status(thm)],[24650])).
% 26.71/18.05 tff(24652,plain,
% 26.71/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 26.71/18.05 inference(transitivity,[status(thm)],[24651, 24649])).
% 26.71/18.05 tff(24653,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24654,plain,
% 26.71/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 26.71/18.05 tff(24655,plain,
% 26.71/18.05 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24654, 870, 24605])).
% 26.71/18.05 tff(24656,plain,
% 26.71/18.05 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24655, 24617])).
% 26.71/18.05 tff(24657,plain,
% 26.71/18.05 (v90(constB191, bitIndex0)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24656, 24648])).
% 26.71/18.05 tff(24658,plain,
% 26.71/18.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24659,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 26.71/18.05 inference(quant_inst,[status(thm)],[])).
% 26.71/18.05 tff(24660,plain,
% 26.71/18.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1))),
% 26.71/18.05 inference(modus_ponens,[status(thm)],[24659, 24658])).
% 26.71/18.05 tff(24661,plain,
% 26.71/18.05 (~v130(constB189, bitIndex1)),
% 26.71/18.05 inference(unit_resolution,[status(thm)],[24660, 1893, 24494])).
% 26.71/18.05 tff(24662,plain,
% 26.71/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 26.71/18.05 inference(rewrite,[status(thm)],[])).
% 26.71/18.05 tff(24663,plain,
% 26.71/18.05 ((v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1))) <=> ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24664,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24663])).
% 26.79/18.06 tff(24665,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24664, 24662])).
% 26.79/18.06 tff(24666,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24667,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24666, 24665])).
% 26.79/18.06 tff(24668,plain,
% 26.79/18.06 ((~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24667, 751, 24519])).
% 26.79/18.06 tff(24669,plain,
% 26.79/18.06 (~v127(constB189, bitIndex1)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24668, 24661])).
% 26.79/18.06 tff(24670,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24671,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24672,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 26.79/18.06 tff(24673,plain,
% 26.79/18.06 (v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24672, 769, 24537])).
% 26.79/18.06 tff(24674,plain,
% 26.79/18.06 (~v129(constB190, bitIndex1)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24673, 24669])).
% 26.79/18.06 tff(24675,plain,
% 26.79/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24676,plain,
% 26.79/18.06 (((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24677,plain,
% 26.79/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24676])).
% 26.79/18.06 tff(24678,plain,
% 26.79/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24677, 24675])).
% 26.79/18.06 tff(24679,plain,
% 26.79/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24680,plain,
% 26.79/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24679, 24678])).
% 26.79/18.06 tff(24681,plain,
% 26.79/18.06 ((~v90(constB190, bitIndex1)) | (~v100(constB190))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24680, 784, 24674])).
% 26.79/18.06 tff(24682,plain,
% 26.79/18.06 (~v90(constB190, bitIndex1)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24681, 24577])).
% 26.79/18.06 tff(24683,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24684,plain,
% 26.79/18.06 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24685,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24684])).
% 26.79/18.06 tff(24686,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24685, 24683])).
% 26.79/18.06 tff(24687,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24688,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24687, 24686])).
% 26.79/18.06 tff(24689,plain,
% 26.79/18.06 (v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24688, 395, 24605])).
% 26.79/18.06 tff(24690,plain,
% 26.79/18.06 (v90(constB190, bitIndex1) | (~v90(constB191, bitIndex1))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24689, 24617])).
% 26.79/18.06 tff(24691,plain,
% 26.79/18.06 (~v90(constB191, bitIndex1)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24690, 24682])).
% 26.79/18.06 tff(24692,assumption,(~v124(constB191)), introduced(assumption)).
% 26.79/18.06 tff(24693,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24694,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24695,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24694, 24693])).
% 26.79/18.06 tff(24696,plain,
% 26.79/18.06 ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24695, 1975, 24692])).
% 26.79/18.06 tff(24697,plain,
% 26.79/18.06 ($false),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24696, 24691, 24657, 24626])).
% 26.79/18.06 tff(24698,plain,((~v123(constB189)) | v124(constB191)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.06 tff(24699,plain,
% 26.79/18.06 (v124(constB191)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24698, 24493])).
% 26.79/18.06 tff(24700,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB191)) | v114(constB191))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24701,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24702,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB191)) | v114(constB191)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24701, 24700])).
% 26.79/18.06 tff(24703,plain,
% 26.79/18.06 (v114(constB191)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24702, 1986, 24699])).
% 26.79/18.06 tff(24704,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24705,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24706,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 26.79/18.06 tff(24707,plain,
% 26.79/18.06 (v113(constB191)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24706, 518, 24703])).
% 26.79/18.06 tff(24708,assumption,(v26(constB191)), introduced(assumption)).
% 26.79/18.06 tff(24709,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24710,plain,
% 26.79/18.06 ($false),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24709, 120, 24708])).
% 26.79/18.06 tff(24711,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.06 tff(24712,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24713,plain,
% 26.79/18.06 ((v26(constB191) | (~v113(constB191)) | v112(constB191)) <=> (v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24714,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24713])).
% 26.79/18.06 tff(24715,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24714, 24712])).
% 26.79/18.06 tff(24716,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24717,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 26.79/18.06 tff(24718,plain,
% 26.79/18.06 (v112(constB191) | (~v113(constB191))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24717, 532, 24711])).
% 26.79/18.06 tff(24719,plain,
% 26.79/18.06 (v112(constB191)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24718, 24707])).
% 26.79/18.06 tff(24720,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24721,plain,
% 26.79/18.06 (((~v112(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v112(constB191)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24722,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24721])).
% 26.79/18.06 tff(24723,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24722, 24720])).
% 26.79/18.06 tff(24724,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24725,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 26.79/18.06 tff(24726,plain,
% 26.79/18.06 (v108(constB191)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24725, 544, 24719])).
% 26.79/18.06 tff(24727,plain,
% 26.79/18.06 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24728,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 26.79/18.06 tff(24729,plain,
% 26.79/18.06 (nextState(constB191, constB192)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24728, 24727])).
% 26.79/18.06 tff(24730,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24731,plain,
% 26.79/18.06 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24732,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24731])).
% 26.79/18.06 tff(24733,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24732, 24730])).
% 26.79/18.06 tff(24734,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24735,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 26.79/18.06 tff(24736,plain,
% 26.79/18.06 (v110(constB192) | (~v108(constB191))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24735, 564, 24729])).
% 26.79/18.06 tff(24737,plain,
% 26.79/18.06 (v110(constB192)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24736, 24726])).
% 26.79/18.06 tff(24738,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24739,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24740,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24739, 24738])).
% 26.79/18.06 tff(24741,plain,
% 26.79/18.06 (~v104(constB192)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24740, 582, 24729, 24602])).
% 26.79/18.06 tff(24742,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24743,plain,
% 26.79/18.06 (((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24744,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | v102(constB192)))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24743])).
% 26.79/18.06 tff(24745,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24744, 24742])).
% 26.79/18.06 tff(24746,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24747,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | v102(constB192)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24746, 24745])).
% 26.79/18.06 tff(24748,plain,
% 26.79/18.06 (v104(constB192) | v102(constB192)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24747, 596, 24729])).
% 26.79/18.06 tff(24749,plain,
% 26.79/18.06 (v102(constB192)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24748, 24741])).
% 26.79/18.06 tff(24750,plain,
% 26.79/18.06 (v1(constB192) <=> v1(constB192)),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24751,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 26.79/18.06 tff(24752,plain,
% 26.79/18.06 (v1(constB192)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 26.79/18.06 tff(24753,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24754,plain,
% 26.79/18.06 (((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))) <=> ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24755,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24754])).
% 26.79/18.06 tff(24756,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24755, 24753])).
% 26.79/18.06 tff(24757,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24758,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | (~v1(constB192)) | v101(constB192) | (~v102(constB192))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 26.79/18.06 tff(24759,plain,
% 26.79/18.06 (v101(constB192) | (~v102(constB192))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24758, 617, 24729, 24752])).
% 26.79/18.06 tff(24760,plain,
% 26.79/18.06 (v101(constB192)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24759, 24749])).
% 26.79/18.06 tff(24761,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24762,plain,
% 26.79/18.06 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24763,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24762])).
% 26.79/18.06 tff(24764,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24763, 24761])).
% 26.79/18.06 tff(24765,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24766,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24765, 24764])).
% 26.79/18.06 tff(24767,plain,
% 26.79/18.06 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24766, 635, 24729])).
% 26.79/18.06 tff(24768,plain,
% 26.79/18.06 (v100(constB192) | (~v110(constB192))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24767, 24760])).
% 26.79/18.06 tff(24769,plain,
% 26.79/18.06 (v100(constB192)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24768, 24737])).
% 26.79/18.06 tff(24770,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24771,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24772,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 26.79/18.06 tff(24773,plain,
% 26.79/18.06 (~v130(constB191, bitIndex0)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24772, 2160, 24699])).
% 26.79/18.06 tff(24774,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24775,plain,
% 26.79/18.06 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24776,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24775])).
% 26.79/18.06 tff(24777,plain,
% 26.79/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24776, 24774])).
% 26.79/18.06 tff(24778,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24779,plain,
% 26.79/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 26.79/18.06 tff(24780,plain,
% 26.79/18.06 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24779, 1153, 24711])).
% 26.79/18.06 tff(24781,plain,
% 26.79/18.06 (~v127(constB191, bitIndex0)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24780, 24773])).
% 26.79/18.06 tff(24782,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24783,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24784,plain,
% 26.79/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24783, 24782])).
% 26.79/18.06 tff(24785,plain,
% 26.79/18.06 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24784, 1171, 24729])).
% 26.79/18.06 tff(24786,plain,
% 26.79/18.06 (~v129(constB192, bitIndex0)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24785, 24781])).
% 26.79/18.06 tff(24787,plain,
% 26.79/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24788,plain,
% 26.79/18.06 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24789,plain,
% 26.79/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24788])).
% 26.79/18.06 tff(24790,plain,
% 26.79/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 26.79/18.06 inference(transitivity,[status(thm)],[24789, 24787])).
% 26.79/18.06 tff(24791,plain,
% 26.79/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 26.79/18.06 inference(quant_inst,[status(thm)],[])).
% 26.79/18.06 tff(24792,plain,
% 26.79/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24791, 24790])).
% 26.79/18.06 tff(24793,plain,
% 26.79/18.06 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24792, 1186, 24786])).
% 26.79/18.06 tff(24794,plain,
% 26.79/18.06 (~v90(constB192, bitIndex0)),
% 26.79/18.06 inference(unit_resolution,[status(thm)],[24793, 24769])).
% 26.79/18.06 tff(24795,plain,
% 26.79/18.06 ((~v1(constB193)) <=> (~v1(constB193))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24796,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 26.79/18.06 tff(24797,plain,
% 26.79/18.06 (~v1(constB193)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24796, 24795])).
% 26.79/18.06 tff(24798,plain,
% 26.79/18.06 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24799,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 26.79/18.06 tff(24800,plain,
% 26.79/18.06 (nextState(constB192, constB193)),
% 26.79/18.06 inference(modus_ponens,[status(thm)],[24799, 24798])).
% 26.79/18.06 tff(24801,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24802,plain,
% 26.79/18.06 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 26.79/18.06 inference(rewrite,[status(thm)],[])).
% 26.79/18.06 tff(24803,plain,
% 26.79/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 26.79/18.06 inference(monotonicity,[status(thm)],[24802])).
% 26.79/18.06 tff(24804,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24803, 24801])).
% 26.79/18.07 tff(24805,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24806,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24805, 24804])).
% 26.79/18.07 tff(24807,plain,
% 26.79/18.07 (~v101(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24806, 342, 24800, 24797])).
% 26.79/18.07 tff(24808,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24809,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24810,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 26.79/18.07 tff(24811,plain,
% 26.79/18.07 (v101(constB193) | (~v100(constB193))),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24810, 359, 24800])).
% 26.79/18.07 tff(24812,plain,
% 26.79/18.07 (~v100(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24811, 24807])).
% 26.79/18.07 tff(24813,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24814,plain,
% 26.79/18.07 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24815,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))))),
% 26.79/18.07 inference(monotonicity,[status(thm)],[24814])).
% 26.79/18.07 tff(24816,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24815, 24813])).
% 26.79/18.07 tff(24817,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24818,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24817, 24816])).
% 26.79/18.07 tff(24819,plain,
% 26.79/18.07 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24818, 416, 24800])).
% 26.79/18.07 tff(24820,plain,
% 26.79/18.07 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24819, 24812])).
% 26.79/18.07 tff(24821,plain,
% 26.79/18.07 (~v90(constB193, bitIndex0)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24820, 24794])).
% 26.79/18.07 tff(24822,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24823,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24824,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24823, 24822])).
% 26.79/18.07 tff(24825,plain,
% 26.79/18.07 (~v88(constB193, bitIndex0)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24824, 7950, 24821])).
% 26.79/18.07 tff(24826,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24827,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24828,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 26.79/18.07 tff(24829,plain,
% 26.79/18.07 (v130(constB191, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24828, 2066, 24699])).
% 26.79/18.07 tff(24830,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24831,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24832,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 26.79/18.07 tff(24833,plain,
% 26.79/18.07 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24832, 1560, 24711])).
% 26.79/18.07 tff(24834,plain,
% 26.79/18.07 (v127(constB191, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24833, 24829])).
% 26.79/18.07 tff(24835,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24836,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24837,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24836, 24835])).
% 26.79/18.07 tff(24838,plain,
% 26.79/18.07 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24837, 1575, 24729])).
% 26.79/18.07 tff(24839,plain,
% 26.79/18.07 (v129(constB192, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24838, 24834])).
% 26.79/18.07 tff(24840,plain,
% 26.79/18.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24841,plain,
% 26.79/18.07 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24842,plain,
% 26.79/18.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))))),
% 26.79/18.07 inference(monotonicity,[status(thm)],[24841])).
% 26.79/18.07 tff(24843,plain,
% 26.79/18.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24842, 24840])).
% 26.79/18.07 tff(24844,plain,
% 26.79/18.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24845,plain,
% 26.79/18.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 26.79/18.07 tff(24846,plain,
% 26.79/18.07 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24845, 1590, 24839])).
% 26.79/18.07 tff(24847,plain,
% 26.79/18.07 (v90(constB192, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24846, 24769])).
% 26.79/18.07 tff(24848,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24849,plain,
% 26.79/18.07 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24850,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)))),
% 26.79/18.07 inference(monotonicity,[status(thm)],[24849])).
% 26.79/18.07 tff(24851,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24850, 24848])).
% 26.79/18.07 tff(24852,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24853,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24852, 24851])).
% 26.79/18.07 tff(24854,plain,
% 26.79/18.07 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24853, 1626, 24800])).
% 26.79/18.07 tff(24855,plain,
% 26.79/18.07 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24854, 24812])).
% 26.79/18.07 tff(24856,plain,
% 26.79/18.07 (v90(constB193, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24855, 24847])).
% 26.79/18.07 tff(24857,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24858,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24859,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex2)) | v88(constB193, bitIndex2)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 26.79/18.07 tff(24860,plain,
% 26.79/18.07 (v88(constB193, bitIndex2)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24859, 7992, 24856])).
% 26.79/18.07 tff(24861,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24862,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24863,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24862, 24861])).
% 26.79/18.07 tff(24864,plain,
% 26.79/18.07 (v130(constB191, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24863, 2122, 24699])).
% 26.79/18.07 tff(24865,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24866,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24867,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 26.79/18.07 tff(24868,plain,
% 26.79/18.07 ((~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24867, 1075, 24711])).
% 26.79/18.07 tff(24869,plain,
% 26.79/18.07 (v127(constB191, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24868, 24864])).
% 26.79/18.07 tff(24870,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24871,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24872,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24871, 24870])).
% 26.79/18.07 tff(24873,plain,
% 26.79/18.07 ((~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24872, 1090, 24729])).
% 26.79/18.07 tff(24874,plain,
% 26.79/18.07 (v129(constB192, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24873, 24869])).
% 26.79/18.07 tff(24875,plain,
% 26.79/18.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24876,plain,
% 26.79/18.07 ((v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24877,plain,
% 26.79/18.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))))),
% 26.79/18.07 inference(monotonicity,[status(thm)],[24876])).
% 26.79/18.07 tff(24878,plain,
% 26.79/18.07 (((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24877, 24875])).
% 26.79/18.07 tff(24879,plain,
% 26.79/18.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24880,plain,
% 26.79/18.07 ((~![VarNext: state_type] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24879, 24878])).
% 26.79/18.07 tff(24881,plain,
% 26.79/18.07 (v90(constB192, bitIndex1) | (~v100(constB192))),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24880, 1105, 24874])).
% 26.79/18.07 tff(24882,plain,
% 26.79/18.07 (v90(constB192, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24881, 24769])).
% 26.79/18.07 tff(24883,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24884,plain,
% 26.79/18.07 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24885,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)))),
% 26.79/18.07 inference(monotonicity,[status(thm)],[24884])).
% 26.79/18.07 tff(24886,plain,
% 26.79/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24885, 24883])).
% 26.79/18.07 tff(24887,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24888,plain,
% 26.79/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24887, 24886])).
% 26.79/18.07 tff(24889,plain,
% 26.79/18.07 ((~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24888, 1123, 24800])).
% 26.79/18.07 tff(24890,plain,
% 26.79/18.07 ((~v90(constB192, bitIndex1)) | v90(constB193, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24889, 24812])).
% 26.79/18.07 tff(24891,plain,
% 26.79/18.07 (v90(constB193, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24890, 24882])).
% 26.79/18.07 tff(24892,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24893,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24894,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB193, bitIndex1)) | v88(constB193, bitIndex1)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24893, 24892])).
% 26.79/18.07 tff(24895,plain,
% 26.79/18.07 (v88(constB193, bitIndex1)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24894, 8034, 24891])).
% 26.79/18.07 tff(24896,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24897,plain,
% 26.79/18.07 (((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193)) <=> ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24898,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193)))),
% 26.79/18.07 inference(monotonicity,[status(thm)],[24897])).
% 26.79/18.07 tff(24899,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193))),
% 26.79/18.07 inference(transitivity,[status(thm)],[24898, 24896])).
% 26.79/18.07 tff(24900,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex1)) | v88(constB193, bitIndex0) | v144(constB193))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24901,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0) | v144(constB193)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24900, 24899])).
% 26.79/18.07 tff(24902,plain,
% 26.79/18.07 (v144(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24901, 8048, 24895, 24860, 24825])).
% 26.79/18.07 tff(24903,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24904,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24905,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 26.79/18.07 tff(24906,plain,
% 26.79/18.07 (v142(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24905, 8062, 24902])).
% 26.79/18.07 tff(24907,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB193)) | v148(constB193))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB193)) | v148(constB193))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24908,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB193)) | v148(constB193))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24909,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB193)) | v148(constB193)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24908, 24907])).
% 26.79/18.07 tff(24910,plain,
% 26.79/18.07 (v148(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24909, 20023, 24906])).
% 26.79/18.07 tff(24911,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB193)) | v167(constB193))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB193)) | v167(constB193))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24912,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB193)) | v167(constB193))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24913,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB193)) | v167(constB193)),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 26.79/18.07 tff(24914,plain,
% 26.79/18.07 (v167(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24913, 8073, 24906])).
% 26.79/18.07 tff(24915,plain,
% 26.79/18.07 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB193) | (~v167(constB193)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB193) | (~v167(constB193)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24916,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB193) | (~v167(constB193)))),
% 26.79/18.07 inference(quant_inst,[status(thm)],[])).
% 26.79/18.07 tff(24917,plain,
% 26.79/18.07 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB193) | (~v167(constB193))),
% 26.79/18.07 inference(modus_ponens,[status(thm)],[24916, 24915])).
% 26.79/18.07 tff(24918,plain,
% 26.79/18.07 (v166(constB193)),
% 26.79/18.07 inference(unit_resolution,[status(thm)],[24917, 8098, 24914])).
% 26.79/18.07 tff(24919,plain,
% 26.79/18.07 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB193) | (~v148(constB193)) | (~v166(constB193)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB193) | (~v148(constB193)) | (~v166(constB193)))),
% 26.79/18.07 inference(rewrite,[status(thm)],[])).
% 26.79/18.07 tff(24920,plain,
% 26.79/18.07 (((~v148(constB193)) | v86(constB193) | (~v166(constB193))) <=> (v86(constB193) | (~v148(constB193)) | (~v166(constB193)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24921,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB193)) | v86(constB193) | (~v166(constB193)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB193) | (~v148(constB193)) | (~v166(constB193))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24920])).
% 26.79/18.08 tff(24922,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB193)) | v86(constB193) | (~v166(constB193)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB193) | (~v148(constB193)) | (~v166(constB193)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[24921, 24919])).
% 26.79/18.08 tff(24923,plain,
% 26.79/18.08 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB193)) | v86(constB193) | (~v166(constB193)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24924,plain,
% 26.79/18.08 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB193) | (~v148(constB193)) | (~v166(constB193))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24923, 24922])).
% 26.79/18.08 tff(24925,plain,
% 26.79/18.08 (v86(constB193)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24924, 20040, 24918, 24910])).
% 26.79/18.08 tff(24926,plain,
% 26.79/18.08 ($false),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24925, 23533])).
% 26.79/18.08 tff(24927,plain,(~(constB193 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.08 tff(24928,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 26.79/18.08 tff(24929,plain,
% 26.79/18.08 (v86(constB73) <=> v86(sK0_VarCurr)),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24928])).
% 26.79/18.08 tff(24930,plain,
% 26.79/18.08 (v86(sK0_VarCurr) <=> v86(constB73)),
% 26.79/18.08 inference(symmetry,[status(thm)],[24929])).
% 26.79/18.08 tff(24931,plain,
% 26.79/18.08 ((~v86(sK0_VarCurr)) <=> (~v86(constB73))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24930])).
% 26.79/18.08 tff(24932,plain,
% 26.79/18.08 (~v86(constB73)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[20015, 24931])).
% 26.79/18.08 tff(24933,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24934,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24935,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 26.79/18.08 tff(24936,plain,
% 26.79/18.08 (~v88(constB73, bitIndex0)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24935, 7950, 9698])).
% 26.79/18.08 tff(24937,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24938,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24939,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB73, bitIndex2)) | v88(constB73, bitIndex2)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 26.79/18.08 tff(24940,plain,
% 26.79/18.08 (v88(constB73, bitIndex2)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24939, 7992, 9633])).
% 26.79/18.08 tff(24941,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24942,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24943,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB73, bitIndex1)) | v88(constB73, bitIndex1)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24942, 24941])).
% 26.79/18.08 tff(24944,plain,
% 26.79/18.08 (v88(constB73, bitIndex1)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24943, 8034, 9664])).
% 26.79/18.08 tff(24945,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | v144(constB73) | (~v88(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | v144(constB73) | (~v88(constB73, bitIndex2)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24946,plain,
% 26.79/18.08 (((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73)) <=> (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | v144(constB73) | (~v88(constB73, bitIndex2)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24947,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | v144(constB73) | (~v88(constB73, bitIndex2))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24946])).
% 26.79/18.08 tff(24948,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | v144(constB73) | (~v88(constB73, bitIndex2)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[24947, 24945])).
% 26.79/18.08 tff(24949,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex1)) | v88(constB73, bitIndex0) | v144(constB73))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24950,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | v144(constB73) | (~v88(constB73, bitIndex2))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24949, 24948])).
% 26.79/18.08 tff(24951,plain,
% 26.79/18.08 (v144(constB73)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24950, 8048, 24944, 24940, 24936])).
% 26.79/18.08 tff(24952,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB73)) | v142(constB73))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB73)) | v142(constB73))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24953,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB73)) | v142(constB73))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24954,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB73)) | v142(constB73)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24953, 24952])).
% 26.79/18.08 tff(24955,plain,
% 26.79/18.08 (v142(constB73)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24954, 8062, 24951])).
% 26.79/18.08 tff(24956,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB73) | (~v142(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24957,plain,
% 26.79/18.08 (((~v142(constB73)) | v148(constB73)) <=> (v148(constB73) | (~v142(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24958,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB73)) | v148(constB73))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB73) | (~v142(constB73))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24957])).
% 26.79/18.08 tff(24959,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB73)) | v148(constB73))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB73) | (~v142(constB73)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[24958, 24956])).
% 26.79/18.08 tff(24960,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB73)) | v148(constB73))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24961,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB73) | (~v142(constB73))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24960, 24959])).
% 26.79/18.08 tff(24962,plain,
% 26.79/18.08 (v148(constB73)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24961, 20023, 24955])).
% 26.79/18.08 tff(24963,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB73) | (~v142(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24964,plain,
% 26.79/18.08 (((~v142(constB73)) | v167(constB73)) <=> (v167(constB73) | (~v142(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24965,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB73)) | v167(constB73))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB73) | (~v142(constB73))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24964])).
% 26.79/18.08 tff(24966,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB73)) | v167(constB73))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB73) | (~v142(constB73)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[24965, 24963])).
% 26.79/18.08 tff(24967,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB73)) | v167(constB73))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24968,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB73) | (~v142(constB73))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 26.79/18.08 tff(24969,plain,
% 26.79/18.08 (v167(constB73)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24968, 8073, 24955])).
% 26.79/18.08 tff(24970,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB73) | (~v167(constB73)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB73) | (~v167(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24971,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB73) | (~v167(constB73)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24972,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB73) | (~v167(constB73))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24971, 24970])).
% 26.79/18.08 tff(24973,plain,
% 26.79/18.08 (v166(constB73)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24972, 8098, 24969])).
% 26.79/18.08 tff(24974,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB73) | (~v166(constB73)) | (~v148(constB73)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB73) | (~v166(constB73)) | (~v148(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24975,plain,
% 26.79/18.08 (((~v148(constB73)) | v86(constB73) | (~v166(constB73))) <=> (v86(constB73) | (~v166(constB73)) | (~v148(constB73)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24976,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB73)) | v86(constB73) | (~v166(constB73)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | (v86(constB73) | (~v166(constB73)) | (~v148(constB73))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24975])).
% 26.79/18.08 tff(24977,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB73)) | v86(constB73) | (~v166(constB73)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB73) | (~v166(constB73)) | (~v148(constB73)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[24976, 24974])).
% 26.79/18.08 tff(24978,plain,
% 26.79/18.08 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | ((~v148(constB73)) | v86(constB73) | (~v166(constB73)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24979,plain,
% 26.79/18.08 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v166(VarNext)))) | v86(constB73) | (~v166(constB73)) | (~v148(constB73))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 26.79/18.08 tff(24980,plain,
% 26.79/18.08 (v86(constB73)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24979, 20040, 24973, 24962])).
% 26.79/18.08 tff(24981,plain,
% 26.79/18.08 ($false),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24980, 24932])).
% 26.79/18.08 tff(24982,plain,(~(constB73 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.08 tff(24983,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 26.79/18.08 tff(24984,plain,
% 26.79/18.08 (v193(constB173) <=> v193(sK0_VarCurr)),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24983])).
% 26.79/18.08 tff(24985,plain,
% 26.79/18.08 (v193(sK0_VarCurr) <=> v193(constB173)),
% 26.79/18.08 inference(symmetry,[status(thm)],[24984])).
% 26.79/18.08 tff(24986,plain,
% 26.79/18.08 (v193(constB173)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[8270, 24985])).
% 26.79/18.08 tff(24987,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB169)) | (~v170(constB169)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24988,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB169)) | (~v170(constB169)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24989,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB169)) | (~v170(constB169))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24988, 24987])).
% 26.79/18.08 tff(24990,plain,
% 26.79/18.08 (~v170(constB169)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24989, 8084, 21430])).
% 26.79/18.08 tff(24991,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB169)) | (~v166(constB169)) | v170(constB169))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24992,plain,
% 26.79/18.08 (((~v166(constB169)) | v170(constB169) | (~v163(constB169))) <=> ((~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24993,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB169)) | (~v166(constB169)) | v170(constB169)))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24992])).
% 26.79/18.08 tff(24994,plain,
% 26.79/18.08 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169))),
% 26.79/18.08 inference(transitivity,[status(thm)],[24993, 24991])).
% 26.79/18.08 tff(24995,plain,
% 26.79/18.08 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB169)) | v170(constB169) | (~v163(constB169)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(24996,plain,
% 26.79/18.08 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB169)) | (~v166(constB169)) | v170(constB169)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[24995, 24994])).
% 26.79/18.08 tff(24997,plain,
% 26.79/18.08 (~v163(constB169)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[24996, 8112, 21434, 24990])).
% 26.79/18.08 tff(24998,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(24999,plain,
% 26.79/18.08 (((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170))) <=> (v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25000,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[24999])).
% 26.79/18.08 tff(25001,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[25000, 24998])).
% 26.79/18.08 tff(25002,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB169, constB170)) | v163(constB169) | (~v186(constB170)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25003,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB169) | (~nextState(constB169, constB170)) | (~v186(constB170))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25002, 25001])).
% 26.79/18.08 tff(25004,plain,
% 26.79/18.08 (v163(constB169) | (~v186(constB170))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25003, 19345, 21475])).
% 26.79/18.08 tff(25005,plain,
% 26.79/18.08 (~v186(constB170)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25004, 24997])).
% 26.79/18.08 tff(25006,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25007,plain,
% 26.79/18.08 (((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170)) <=> ((~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25008,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v181(constB170) | v104(constB170)))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[25007])).
% 26.79/18.08 tff(25009,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB169, constB170)) | v181(constB170) | v104(constB170))),
% 26.79/18.08 inference(transitivity,[status(thm)],[25008, 25006])).
% 26.79/18.08 tff(25010,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | v181(constB170))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25011,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB169, constB170)) | v181(constB170) | v104(constB170)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25010, 25009])).
% 26.79/18.08 tff(25012,plain,
% 26.79/18.08 (v181(constB170) | v104(constB170)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25011, 19367, 21475])).
% 26.79/18.08 tff(25013,plain,
% 26.79/18.08 (v181(constB170)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25012, 21487])).
% 26.79/18.08 tff(25014,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25015,plain,
% 26.79/18.08 (((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170))) <=> ((~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25016,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[25015])).
% 26.79/18.08 tff(25017,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[25016, 25014])).
% 26.79/18.08 tff(25018,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB169, constB170)) | (~v1(constB170)) | v180(constB170) | (~v181(constB170)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25019,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB169, constB170)) | v180(constB170) | (~v1(constB170)) | (~v181(constB170))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25018, 25017])).
% 26.79/18.08 tff(25020,plain,
% 26.79/18.08 (v180(constB170) | (~v181(constB170))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25019, 19385, 21475, 21498])).
% 26.79/18.08 tff(25021,plain,
% 26.79/18.08 (v180(constB170)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25020, 25013])).
% 26.79/18.08 tff(25022,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25023,plain,
% 26.79/18.08 (((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170)) <=> ((~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25024,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[25023])).
% 26.79/18.08 tff(25025,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[25024, 25022])).
% 26.79/18.08 tff(25026,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB169, constB170)) | (~v180(constB170)) | v179(constB170))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25027,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB169, constB170)) | v179(constB170) | (~v180(constB170))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 26.79/18.08 tff(25028,plain,
% 26.79/18.08 (v179(constB170) | (~v180(constB170))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25027, 19403, 21475])).
% 26.79/18.08 tff(25029,plain,
% 26.79/18.08 (v179(constB170)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25028, 25021])).
% 26.79/18.08 tff(25030,plain,
% 26.79/18.08 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB170) | (~v159(constB170)) | (~v179(constB170)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB170) | (~v159(constB170)) | (~v179(constB170)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25031,plain,
% 26.79/18.08 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB170) | (~v159(constB170)) | (~v179(constB170)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25032,plain,
% 26.79/18.08 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB170) | (~v159(constB170)) | (~v179(constB170))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25031, 25030])).
% 26.79/18.08 tff(25033,plain,
% 26.79/18.08 (v186(constB170) | (~v159(constB170))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25032, 19421, 25029])).
% 26.79/18.08 tff(25034,plain,
% 26.79/18.08 (~v159(constB170)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25033, 25005])).
% 26.79/18.08 tff(25035,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25036,plain,
% 26.79/18.08 (((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171))) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25037,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[25036])).
% 26.79/18.08 tff(25038,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[25037, 25035])).
% 26.79/18.08 tff(25039,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v1(constB171) | (~v180(constB171)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25040,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v180(constB171))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25039, 25038])).
% 26.79/18.08 tff(25041,plain,
% 26.79/18.08 (~v180(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25040, 19439, 21567, 21564])).
% 26.79/18.08 tff(25042,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25043,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25044,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB170, constB171)) | v180(constB171) | (~v179(constB171))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25043, 25042])).
% 26.79/18.08 tff(25045,plain,
% 26.79/18.08 (v180(constB171) | (~v179(constB171))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25044, 19456, 21567])).
% 26.79/18.08 tff(25046,plain,
% 26.79/18.08 (~v179(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25045, 25041])).
% 26.79/18.08 tff(25047,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25048,plain,
% 26.79/18.08 (((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171))) <=> (v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25049,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171))))),
% 26.79/18.08 inference(monotonicity,[status(thm)],[25048])).
% 26.79/18.08 tff(25050,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171)))),
% 26.79/18.08 inference(transitivity,[status(thm)],[25049, 25047])).
% 26.79/18.08 tff(25051,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB170, constB171)) | v179(constB171) | v159(constB170) | (~v159(constB171)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25052,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB170) | (~nextState(constB170, constB171)) | v179(constB171) | (~v159(constB171))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25051, 25050])).
% 26.79/18.08 tff(25053,plain,
% 26.79/18.08 (v159(constB170) | v179(constB171) | (~v159(constB171))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25052, 19471, 21567])).
% 26.79/18.08 tff(25054,plain,
% 26.79/18.08 (v159(constB170) | (~v159(constB171))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25053, 25046])).
% 26.79/18.08 tff(25055,plain,
% 26.79/18.08 (~v159(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25054, 25034])).
% 26.79/18.08 tff(25056,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB171) | (~v201(constB171)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB171) | (~v201(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25057,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB171) | (~v201(constB171)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25058,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB171) | (~v201(constB171))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 26.79/18.08 tff(25059,plain,
% 26.79/18.08 (~v201(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25058, 19490, 25055])).
% 26.79/18.08 tff(25060,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB171) | (~v200(constB171)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB171) | (~v200(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25061,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB171) | (~v200(constB171)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25062,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB171) | (~v200(constB171))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 26.79/18.08 tff(25063,plain,
% 26.79/18.08 (~v200(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25062, 8143, 25059])).
% 26.79/18.08 tff(25064,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB171) | (~v198(constB171)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB171) | (~v198(constB171)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25065,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB171) | (~v198(constB171)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25066,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB171) | (~v198(constB171))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 26.79/18.08 tff(25067,plain,
% 26.79/18.08 (~v198(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25066, 8157, 25063])).
% 26.79/18.08 tff(25068,assumption,(v18(constB172)), introduced(assumption)).
% 26.79/18.08 tff(25069,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB172))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25070,plain,
% 26.79/18.08 ($false),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25069, 8, 25068])).
% 26.79/18.08 tff(25071,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.08 tff(25072,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25073,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25074,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25073, 25072])).
% 26.79/18.08 tff(25075,plain,
% 26.79/18.08 (v22(constB172)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25074, 24, 21735])).
% 26.79/18.08 tff(25076,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25077,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25078,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 26.79/18.08 tff(25079,plain,
% 26.79/18.08 (v18(constB172) | (~v19(constB172))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25078, 38, 25075])).
% 26.79/18.08 tff(25080,plain,
% 26.79/18.08 (~v19(constB172)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25079, 25071])).
% 26.79/18.08 tff(25081,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25082,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25083,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25082, 25081])).
% 26.79/18.08 tff(25084,plain,
% 26.79/18.08 (v13(constB172)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25083, 50, 25080])).
% 26.79/18.08 tff(25085,plain,
% 26.79/18.08 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25086,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25087,plain,
% 26.79/18.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172))),
% 26.79/18.08 inference(modus_ponens,[status(thm)],[25086, 25085])).
% 26.79/18.08 tff(25088,plain,
% 26.79/18.08 (v9(constB171) | (~v13(constB172))),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25087, 67, 21712])).
% 26.79/18.08 tff(25089,plain,
% 26.79/18.08 (v9(constB171)),
% 26.79/18.08 inference(unit_resolution,[status(thm)],[25088, 25084])).
% 26.79/18.08 tff(25090,plain,
% 26.79/18.08 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v197(constB171))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB171) | (~v9(constB171)) | v197(constB171))),
% 26.79/18.08 inference(rewrite,[status(thm)],[])).
% 26.79/18.08 tff(25091,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v197(constB171))),
% 26.79/18.08 inference(quant_inst,[status(thm)],[])).
% 26.79/18.08 tff(25092,plain,
% 26.79/18.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB171) | (~v9(constB171)) | v197(constB171)),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 26.79/18.09 tff(25093,plain,
% 26.79/18.09 ((~v9(constB171)) | v197(constB171)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25092, 85, 21564])).
% 26.79/18.09 tff(25094,plain,
% 26.79/18.09 (v197(constB171)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25093, 25089])).
% 26.79/18.09 tff(25095,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB171) | (~v197(constB171)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB171) | (~v197(constB171)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25096,plain,
% 26.79/18.09 (((~v197(constB171)) | v196(constB171)) <=> (v196(constB171) | (~v197(constB171)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25097,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB171)) | v196(constB171))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB171) | (~v197(constB171))))),
% 26.79/18.09 inference(monotonicity,[status(thm)],[25096])).
% 26.79/18.09 tff(25098,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB171)) | v196(constB171))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB171) | (~v197(constB171)))),
% 26.79/18.09 inference(transitivity,[status(thm)],[25097, 25095])).
% 26.79/18.09 tff(25099,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB171)) | v196(constB171))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25100,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB171) | (~v197(constB171))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 26.79/18.09 tff(25101,plain,
% 26.79/18.09 (v196(constB171)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25100, 97, 25094])).
% 26.79/18.09 tff(25102,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB171)) | (~v196(constB171)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB171)) | (~v196(constB171)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25103,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB171)) | (~v196(constB171)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25104,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB171)) | (~v196(constB171))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 26.79/18.09 tff(25105,plain,
% 26.79/18.09 (~v194(constB171)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25104, 108, 25101])).
% 26.79/18.09 tff(25106,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB171) | v198(constB171) | (~v191(constB171)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB171) | v198(constB171) | (~v191(constB171)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25107,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB171) | v198(constB171) | (~v191(constB171)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25108,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB171) | v198(constB171) | (~v191(constB171))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25107, 25106])).
% 26.79/18.09 tff(25109,plain,
% 26.79/18.09 (v198(constB171) | (~v191(constB171))),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25108, 8171, 25105])).
% 26.79/18.09 tff(25110,plain,
% 26.79/18.09 (~v191(constB171)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25109, 25067])).
% 26.79/18.09 tff(25111,plain,
% 26.79/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25112,plain,
% 26.79/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25113,plain,
% 26.79/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB171, constB172)) | v191(constB171) | (~v193(constB172))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25112, 25111])).
% 26.79/18.09 tff(25114,plain,
% 26.79/18.09 (v191(constB171) | (~v193(constB172))),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25113, 8186, 21712])).
% 26.79/18.09 tff(25115,plain,
% 26.79/18.09 (~v193(constB172)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25114, 25110])).
% 26.79/18.09 tff(25116,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB172) | (~v194(constB172)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB172) | (~v194(constB172)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25117,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB172) | (~v194(constB172)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25118,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB172) | (~v194(constB172))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 26.79/18.09 tff(25119,plain,
% 26.79/18.09 (~v194(constB172)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25118, 8201, 25115])).
% 26.79/18.09 tff(25120,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB172)) | (~v197(constB172)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB172)) | (~v197(constB172)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25121,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB172)) | (~v197(constB172)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25122,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB172)) | (~v197(constB172))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 26.79/18.09 tff(25123,plain,
% 26.79/18.09 (~v197(constB172)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25122, 8215, 21735])).
% 26.79/18.09 tff(25124,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB172) | (~v200(constB172)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB172) | (~v200(constB172)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25125,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB172) | (~v200(constB172)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25126,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB172) | (~v200(constB172))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25125, 25124])).
% 26.79/18.09 tff(25127,plain,
% 26.79/18.09 (~v200(constB172)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25126, 8229, 25123])).
% 26.79/18.09 tff(25128,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB172) | (~v198(constB172)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB172) | (~v198(constB172)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25129,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB172) | (~v198(constB172)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25130,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB172) | (~v198(constB172))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25129, 25128])).
% 26.79/18.09 tff(25131,plain,
% 26.79/18.09 (~v198(constB172)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25130, 8157, 25127])).
% 26.79/18.09 tff(25132,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB172) | v198(constB172) | (~v191(constB172)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB172) | v198(constB172) | (~v191(constB172)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25133,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB172) | v198(constB172) | (~v191(constB172)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25134,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB172) | v198(constB172) | (~v191(constB172))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 26.79/18.09 tff(25135,plain,
% 26.79/18.09 (v194(constB172) | (~v191(constB172))),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25134, 8171, 25131])).
% 26.79/18.09 tff(25136,plain,
% 26.79/18.09 (~v191(constB172)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25135, 25119])).
% 26.79/18.09 tff(25137,plain,
% 26.79/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25138,plain,
% 26.79/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25139,plain,
% 26.79/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB172, constB173)) | v191(constB172) | (~v193(constB173))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25138, 25137])).
% 26.79/18.09 tff(25140,plain,
% 26.79/18.09 (v191(constB172) | (~v193(constB173))),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25139, 8186, 21780])).
% 26.79/18.09 tff(25141,plain,
% 26.79/18.09 (~v193(constB173)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25140, 25136])).
% 26.79/18.09 tff(25142,plain,
% 26.79/18.09 ($false),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25141, 24986])).
% 26.79/18.09 tff(25143,plain,(~(constB173 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.09 tff(25144,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 26.79/18.09 tff(25145,plain,
% 26.79/18.09 (v1(constB46) <=> v1(sK0_VarCurr)),
% 26.79/18.09 inference(monotonicity,[status(thm)],[25144])).
% 26.79/18.09 tff(25146,plain,
% 26.79/18.09 (v1(sK0_VarCurr) <=> v1(constB46)),
% 26.79/18.09 inference(symmetry,[status(thm)],[25145])).
% 26.79/18.09 tff(25147,plain,
% 26.79/18.09 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 26.79/18.09 inference(monotonicity,[status(thm)],[25146])).
% 26.79/18.09 tff(25148,plain,
% 26.79/18.09 (^[VarCurr: state_type] : refl((v197(VarCurr) | (~v207(VarCurr))) <=> (v197(VarCurr) | (~v207(VarCurr))))),
% 26.79/18.09 inference(bind,[status(th)],[])).
% 26.79/18.09 tff(25149,plain,
% 26.79/18.09 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(quant_intro,[status(thm)],[25148])).
% 26.79/18.09 tff(25150,plain,
% 26.79/18.09 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25151,plain,
% 26.79/18.09 (^[VarCurr: state_type] : rewrite(((~v207(VarCurr)) | v197(VarCurr)) <=> (v197(VarCurr) | (~v207(VarCurr))))),
% 26.79/18.09 inference(bind,[status(th)],[])).
% 26.79/18.09 tff(25152,plain,
% 26.79/18.09 (![VarCurr: state_type] : ((~v207(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(quant_intro,[status(thm)],[25151])).
% 26.79/18.09 tff(25153,axiom,(![VarCurr: state_type] : ((~v207(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1_1')).
% 26.79/18.09 tff(25154,plain,
% 26.79/18.09 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 26.79/18.09 tff(25155,plain,
% 26.79/18.09 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25154, 25150])).
% 26.79/18.09 tff(25156,plain,(
% 26.79/18.09 ![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(skolemize,[status(sab)],[25155])).
% 26.79/18.09 tff(25157,plain,
% 26.79/18.09 (![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25156, 25149])).
% 26.79/18.09 tff(25158,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25159,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | (v197(sK0_VarCurr) | (~v207(sK0_VarCurr)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25160,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v207(VarCurr)))) | v197(sK0_VarCurr) | (~v207(sK0_VarCurr))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25159, 25158])).
% 26.79/18.09 tff(25161,plain,
% 26.79/18.09 (v197(sK0_VarCurr)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25160, 25157, 20004])).
% 26.79/18.09 tff(25162,plain,
% 26.79/18.09 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 26.79/18.09 inference(rewrite,[status(thm)],[])).
% 26.79/18.09 tff(25163,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr)))),
% 26.79/18.09 inference(quant_inst,[status(thm)],[])).
% 26.79/18.09 tff(25164,plain,
% 26.79/18.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v197(sK0_VarCurr))),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25163, 25162])).
% 26.79/18.09 tff(25165,plain,
% 26.79/18.09 (~v1(sK0_VarCurr)),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[25164, 8215, 25161])).
% 26.79/18.09 tff(25166,plain,
% 26.79/18.09 (~v1(constB46)),
% 26.79/18.09 inference(modus_ponens,[status(thm)],[25165, 25147])).
% 26.79/18.09 tff(25167,plain,
% 26.79/18.09 ($false),
% 26.79/18.09 inference(unit_resolution,[status(thm)],[6318, 25166])).
% 26.79/18.09 tff(25168,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.79/18.09 tff(25169,assumption,(constB50 = sK0_VarCurr), introduced(assumption)).
% 26.79/18.09 tff(25170,plain,
% 26.79/18.09 (v1(constB50) <=> v1(sK0_VarCurr)),
% 26.79/18.09 inference(monotonicity,[status(thm)],[25169])).
% 26.79/18.09 tff(25171,plain,
% 26.83/18.09 (v1(sK0_VarCurr) <=> v1(constB50)),
% 26.83/18.09 inference(symmetry,[status(thm)],[25170])).
% 26.83/18.09 tff(25172,plain,
% 26.83/18.09 ((~v1(sK0_VarCurr)) <=> (~v1(constB50))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25171])).
% 26.83/18.09 tff(25173,plain,
% 26.83/18.09 (~v1(constB50)),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25165, 25172])).
% 26.83/18.09 tff(25174,plain,
% 26.83/18.09 ($false),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[6779, 25173])).
% 26.83/18.09 tff(25175,plain,(~(constB50 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.09 tff(25176,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.09 tff(25177,plain,
% 26.83/18.09 (v193(constB29) <=> v193(sK0_VarCurr)),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25176])).
% 26.83/18.09 tff(25178,plain,
% 26.83/18.09 (v193(sK0_VarCurr) <=> v193(constB29)),
% 26.83/18.09 inference(symmetry,[status(thm)],[25177])).
% 26.83/18.09 tff(25179,plain,
% 26.83/18.09 (v193(constB29)),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[8270, 25178])).
% 26.83/18.09 tff(25180,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25181,plain,
% 26.83/18.09 (((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26))) <=> (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25182,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26))))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25181])).
% 26.83/18.09 tff(25183,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26)))),
% 26.83/18.09 inference(transitivity,[status(thm)],[25182, 25180])).
% 26.83/18.09 tff(25184,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB25, constB26)) | v163(constB25) | (~v186(constB26)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25185,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB25) | (~nextState(constB25, constB26)) | (~v186(constB26))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 26.83/18.09 tff(25186,plain,
% 26.83/18.09 (v163(constB25) | (~v186(constB26))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25185, 19345, 3682])).
% 26.83/18.09 tff(25187,plain,
% 26.83/18.09 (~v186(constB26)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25186, 8352])).
% 26.83/18.09 tff(25188,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25189,plain,
% 26.83/18.09 (((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26)) <=> ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25190,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v181(constB26) | v104(constB26)))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25189])).
% 26.83/18.09 tff(25191,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26))),
% 26.83/18.09 inference(transitivity,[status(thm)],[25190, 25188])).
% 26.83/18.09 tff(25192,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | v181(constB26))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25193,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB25, constB26)) | v181(constB26) | v104(constB26)),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25192, 25191])).
% 26.83/18.09 tff(25194,plain,
% 26.83/18.09 (v181(constB26) | v104(constB26)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25193, 19367, 3682])).
% 26.83/18.09 tff(25195,plain,
% 26.83/18.09 (v181(constB26)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25194, 3694])).
% 26.83/18.09 tff(25196,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25197,plain,
% 26.83/18.09 (((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26))) <=> ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25198,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26))))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25197])).
% 26.83/18.09 tff(25199,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26)))),
% 26.83/18.09 inference(transitivity,[status(thm)],[25198, 25196])).
% 26.83/18.09 tff(25200,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB25, constB26)) | (~v1(constB26)) | v180(constB26) | (~v181(constB26)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25201,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB25, constB26)) | v180(constB26) | (~v1(constB26)) | (~v181(constB26))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25200, 25199])).
% 26.83/18.09 tff(25202,plain,
% 26.83/18.09 (v180(constB26) | (~v181(constB26))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25201, 19385, 3682, 3705])).
% 26.83/18.09 tff(25203,plain,
% 26.83/18.09 (v180(constB26)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25202, 25195])).
% 26.83/18.09 tff(25204,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25205,plain,
% 26.83/18.09 (((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26)) <=> ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25206,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26))))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25205])).
% 26.83/18.09 tff(25207,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26)))),
% 26.83/18.09 inference(transitivity,[status(thm)],[25206, 25204])).
% 26.83/18.09 tff(25208,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB25, constB26)) | (~v180(constB26)) | v179(constB26))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25209,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB25, constB26)) | v179(constB26) | (~v180(constB26))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25208, 25207])).
% 26.83/18.09 tff(25210,plain,
% 26.83/18.09 (v179(constB26) | (~v180(constB26))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25209, 19403, 3682])).
% 26.83/18.09 tff(25211,plain,
% 26.83/18.09 (v179(constB26)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25210, 25203])).
% 26.83/18.09 tff(25212,plain,
% 26.83/18.09 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB26) | (~v159(constB26)) | (~v179(constB26)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB26) | (~v159(constB26)) | (~v179(constB26)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25213,plain,
% 26.83/18.09 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB26) | (~v159(constB26)) | (~v179(constB26)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25214,plain,
% 26.83/18.09 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB26) | (~v159(constB26)) | (~v179(constB26))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25213, 25212])).
% 26.83/18.09 tff(25215,plain,
% 26.83/18.09 (v186(constB26) | (~v159(constB26))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25214, 19421, 25211])).
% 26.83/18.09 tff(25216,plain,
% 26.83/18.09 (~v159(constB26)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25215, 25187])).
% 26.83/18.09 tff(25217,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25218,plain,
% 26.83/18.09 (((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27))) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25219,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27))))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25218])).
% 26.83/18.09 tff(25220,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27)))),
% 26.83/18.09 inference(transitivity,[status(thm)],[25219, 25217])).
% 26.83/18.09 tff(25221,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v1(constB27) | (~v180(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25222,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v180(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 26.83/18.09 tff(25223,plain,
% 26.83/18.09 (~v180(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25222, 19439, 3774, 3771])).
% 26.83/18.09 tff(25224,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25225,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25226,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB26, constB27)) | v180(constB27) | (~v179(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25225, 25224])).
% 26.83/18.09 tff(25227,plain,
% 26.83/18.09 (v180(constB27) | (~v179(constB27))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25226, 19456, 3774])).
% 26.83/18.09 tff(25228,plain,
% 26.83/18.09 (~v179(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25227, 25223])).
% 26.83/18.09 tff(25229,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25230,plain,
% 26.83/18.09 (((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27))) <=> (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25231,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27))))),
% 26.83/18.09 inference(monotonicity,[status(thm)],[25230])).
% 26.83/18.09 tff(25232,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27)))),
% 26.83/18.09 inference(transitivity,[status(thm)],[25231, 25229])).
% 26.83/18.09 tff(25233,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB26, constB27)) | v179(constB27) | v159(constB26) | (~v159(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25234,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB26) | (~nextState(constB26, constB27)) | v179(constB27) | (~v159(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25233, 25232])).
% 26.83/18.09 tff(25235,plain,
% 26.83/18.09 (v159(constB26) | v179(constB27) | (~v159(constB27))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25234, 19471, 3774])).
% 26.83/18.09 tff(25236,plain,
% 26.83/18.09 (v159(constB26) | (~v159(constB27))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25235, 25228])).
% 26.83/18.09 tff(25237,plain,
% 26.83/18.09 (~v159(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25236, 25216])).
% 26.83/18.09 tff(25238,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB27) | (~v201(constB27)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB27) | (~v201(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25239,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB27) | (~v201(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25240,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB27) | (~v201(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25239, 25238])).
% 26.83/18.09 tff(25241,plain,
% 26.83/18.09 (~v201(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25240, 19490, 25237])).
% 26.83/18.09 tff(25242,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | (~v200(constB27)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | (~v200(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25243,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB27) | (~v200(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25244,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB27) | (~v200(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 26.83/18.09 tff(25245,plain,
% 26.83/18.09 (~v200(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25244, 8143, 25241])).
% 26.83/18.09 tff(25246,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB27) | (~v198(constB27)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB27) | (~v198(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25247,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB27) | (~v198(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25248,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB27) | (~v198(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 26.83/18.09 tff(25249,plain,
% 26.83/18.09 (~v198(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25248, 8157, 25245])).
% 26.83/18.09 tff(25250,assumption,(v18(constB28)), introduced(assumption)).
% 26.83/18.09 tff(25251,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB28))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25252,plain,
% 26.83/18.09 ($false),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25251, 8, 25250])).
% 26.83/18.09 tff(25253,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.09 tff(25254,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25255,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25256,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 26.83/18.09 tff(25257,plain,
% 26.83/18.09 (v22(constB28)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25256, 24, 3939])).
% 26.83/18.09 tff(25258,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25259,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25260,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 26.83/18.09 tff(25261,plain,
% 26.83/18.09 (v18(constB28) | (~v19(constB28))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25260, 38, 25257])).
% 26.83/18.09 tff(25262,plain,
% 26.83/18.09 (~v19(constB28)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25261, 25253])).
% 26.83/18.09 tff(25263,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25264,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25265,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 26.83/18.09 tff(25266,plain,
% 26.83/18.09 (v13(constB28)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25265, 50, 25262])).
% 26.83/18.09 tff(25267,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25268,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25269,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 26.83/18.09 tff(25270,plain,
% 26.83/18.09 (v9(constB27) | (~v13(constB28))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25269, 67, 3916])).
% 26.83/18.09 tff(25271,plain,
% 26.83/18.09 (v9(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25270, 25266])).
% 26.83/18.09 tff(25272,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v197(constB27))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB27) | (~v9(constB27)) | v197(constB27))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25273,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v197(constB27))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25274,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB27) | (~v9(constB27)) | v197(constB27)),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25273, 25272])).
% 26.83/18.09 tff(25275,plain,
% 26.83/18.09 ((~v9(constB27)) | v197(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25274, 85, 3771])).
% 26.83/18.09 tff(25276,plain,
% 26.83/18.09 (v197(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25275, 25271])).
% 26.83/18.09 tff(25277,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB27)) | v196(constB27))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB27)) | v196(constB27))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25278,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB27)) | v196(constB27))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25279,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB27)) | v196(constB27)),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25278, 25277])).
% 26.83/18.09 tff(25280,plain,
% 26.83/18.09 (v196(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25279, 97, 25276])).
% 26.83/18.09 tff(25281,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB27)) | (~v196(constB27)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB27)) | (~v196(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25282,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB27)) | (~v196(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25283,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB27)) | (~v196(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 26.83/18.09 tff(25284,plain,
% 26.83/18.09 (~v194(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25283, 108, 25280])).
% 26.83/18.09 tff(25285,plain,
% 26.83/18.09 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB27) | v198(constB27) | (~v191(constB27)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB27) | v198(constB27) | (~v191(constB27)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25286,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB27) | v198(constB27) | (~v191(constB27)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25287,plain,
% 26.83/18.09 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB27) | v198(constB27) | (~v191(constB27))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 26.83/18.09 tff(25288,plain,
% 26.83/18.09 (v198(constB27) | (~v191(constB27))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25287, 8171, 25284])).
% 26.83/18.09 tff(25289,plain,
% 26.83/18.09 (~v191(constB27)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25288, 25249])).
% 26.83/18.09 tff(25290,plain,
% 26.83/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))),
% 26.83/18.09 inference(rewrite,[status(thm)],[])).
% 26.83/18.09 tff(25291,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28)))),
% 26.83/18.09 inference(quant_inst,[status(thm)],[])).
% 26.83/18.09 tff(25292,plain,
% 26.83/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB27, constB28)) | v191(constB27) | (~v193(constB28))),
% 26.83/18.09 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 26.83/18.09 tff(25293,plain,
% 26.83/18.09 (v191(constB27) | (~v193(constB28))),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25292, 8186, 3916])).
% 26.83/18.09 tff(25294,plain,
% 26.83/18.09 (~v193(constB28)),
% 26.83/18.09 inference(unit_resolution,[status(thm)],[25293, 25289])).
% 26.83/18.09 tff(25295,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB28) | (~v194(constB28)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB28) | (~v194(constB28)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25296,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB28) | (~v194(constB28)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25297,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB28) | (~v194(constB28))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 26.83/18.10 tff(25298,plain,
% 26.83/18.10 (~v194(constB28)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25297, 8201, 25294])).
% 26.83/18.10 tff(25299,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB28)) | (~v197(constB28)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB28)) | (~v197(constB28)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25300,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB28)) | (~v197(constB28)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25301,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB28)) | (~v197(constB28))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25300, 25299])).
% 26.83/18.10 tff(25302,plain,
% 26.83/18.10 (~v197(constB28)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25301, 8215, 3939])).
% 26.83/18.10 tff(25303,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB28) | (~v200(constB28)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB28) | (~v200(constB28)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25304,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB28) | (~v200(constB28)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25305,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB28) | (~v200(constB28))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25304, 25303])).
% 26.83/18.10 tff(25306,plain,
% 26.83/18.10 (~v200(constB28)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25305, 8229, 25302])).
% 26.83/18.10 tff(25307,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB28) | (~v198(constB28)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB28) | (~v198(constB28)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25308,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB28) | (~v198(constB28)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25309,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB28) | (~v198(constB28))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25308, 25307])).
% 26.83/18.10 tff(25310,plain,
% 26.83/18.10 (~v198(constB28)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25309, 8157, 25306])).
% 26.83/18.10 tff(25311,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB28) | v198(constB28) | (~v191(constB28)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB28) | v198(constB28) | (~v191(constB28)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25312,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB28) | v198(constB28) | (~v191(constB28)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25313,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB28) | v198(constB28) | (~v191(constB28))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 26.83/18.10 tff(25314,plain,
% 26.83/18.10 (v194(constB28) | (~v191(constB28))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25313, 8171, 25310])).
% 26.83/18.10 tff(25315,plain,
% 26.83/18.10 (~v191(constB28)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25314, 25298])).
% 26.83/18.10 tff(25316,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25317,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25318,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB28, constB29)) | v191(constB28) | (~v193(constB29))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 26.83/18.10 tff(25319,plain,
% 26.83/18.10 (v191(constB28) | (~v193(constB29))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25318, 8186, 4023])).
% 26.83/18.10 tff(25320,plain,
% 26.83/18.10 (~v193(constB29)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25319, 25315])).
% 26.83/18.10 tff(25321,plain,
% 26.83/18.10 ($false),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25320, 25179])).
% 26.83/18.10 tff(25322,plain,(~(constB29 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.10 tff(25323,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.10 tff(25324,plain,
% 26.83/18.10 (v1(constB180) <=> v1(sK0_VarCurr)),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25323])).
% 26.83/18.10 tff(25325,plain,
% 26.83/18.10 (v1(sK0_VarCurr) <=> v1(constB180)),
% 26.83/18.10 inference(symmetry,[status(thm)],[25324])).
% 26.83/18.10 tff(25326,plain,
% 26.83/18.10 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25325])).
% 26.83/18.10 tff(25327,plain,
% 26.83/18.10 (~v1(constB180)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25165, 25326])).
% 26.83/18.10 tff(25328,plain,
% 26.83/18.10 ($false),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[22861, 25327])).
% 26.83/18.10 tff(25329,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.10 tff(25330,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.10 tff(25331,plain,
% 26.83/18.10 (v1(constB42) <=> v1(sK0_VarCurr)),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25330])).
% 26.83/18.10 tff(25332,plain,
% 26.83/18.10 (v1(sK0_VarCurr) <=> v1(constB42)),
% 26.83/18.10 inference(symmetry,[status(thm)],[25331])).
% 26.83/18.10 tff(25333,plain,
% 26.83/18.10 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25332])).
% 26.83/18.10 tff(25334,plain,
% 26.83/18.10 (~v1(constB42)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25165, 25333])).
% 26.83/18.10 tff(25335,plain,
% 26.83/18.10 ($false),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[5751, 25334])).
% 26.83/18.10 tff(25336,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.10 tff(25337,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.10 tff(25338,plain,
% 26.83/18.10 (v1(constB74) <=> v1(sK0_VarCurr)),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25337])).
% 26.83/18.10 tff(25339,plain,
% 26.83/18.10 (v1(sK0_VarCurr) <=> v1(constB74)),
% 26.83/18.10 inference(symmetry,[status(thm)],[25338])).
% 26.83/18.10 tff(25340,plain,
% 26.83/18.10 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25339])).
% 26.83/18.10 tff(25341,plain,
% 26.83/18.10 (~v1(constB74)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25165, 25340])).
% 26.83/18.10 tff(25342,plain,
% 26.83/18.10 ($false),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[9754, 25341])).
% 26.83/18.10 tff(25343,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.10 tff(25344,assumption,(constB5 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.10 tff(25345,plain,
% 26.83/18.10 (v193(constB5) <=> v193(sK0_VarCurr)),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25344])).
% 26.83/18.10 tff(25346,plain,
% 26.83/18.10 (v193(sK0_VarCurr) <=> v193(constB5)),
% 26.83/18.10 inference(symmetry,[status(thm)],[25345])).
% 26.83/18.10 tff(25347,plain,
% 26.83/18.10 (v193(constB5)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[8270, 25346])).
% 26.83/18.10 tff(25348,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25349,plain,
% 26.83/18.10 (((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3))) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25350,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3))))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25349])).
% 26.83/18.10 tff(25351,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3)))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25350, 25348])).
% 26.83/18.10 tff(25352,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB3) | (~v180(constB3)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25353,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v180(constB3))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 26.83/18.10 tff(25354,plain,
% 26.83/18.10 (~v180(constB3)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25353, 19439, 709, 706])).
% 26.83/18.10 tff(25355,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25356,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25357,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB2, constB3)) | v180(constB3) | (~v179(constB3))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25356, 25355])).
% 26.83/18.10 tff(25358,plain,
% 26.83/18.10 (v180(constB3) | (~v179(constB3))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25357, 19456, 709])).
% 26.83/18.10 tff(25359,plain,
% 26.83/18.10 (~v179(constB3)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25358, 25354])).
% 26.83/18.10 tff(25360,plain,
% 26.83/18.10 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)))),
% 26.83/18.10 inference(bind,[status(th)],[])).
% 26.83/18.10 tff(25361,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 26.83/18.10 inference(quant_intro,[status(thm)],[25360])).
% 26.83/18.10 tff(25362,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25363,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 26.83/18.10 tff(25364,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25363, 25362])).
% 26.83/18.10 tff(25365,plain,(
% 26.83/18.10 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 26.83/18.10 inference(skolemize,[status(sab)],[25364])).
% 26.83/18.10 tff(25366,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25365, 25361])).
% 26.83/18.10 tff(25367,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25368,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25369,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 26.83/18.10 tff(25370,plain,
% 26.83/18.10 (~v88(constB1, bitIndex2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25369, 25366, 385])).
% 26.83/18.10 tff(25371,plain,
% 26.83/18.10 (^[VarCurr: state_type] : refl(((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)))),
% 26.83/18.10 inference(bind,[status(th)],[])).
% 26.83/18.10 tff(25372,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 26.83/18.10 inference(quant_intro,[status(thm)],[25371])).
% 26.83/18.10 tff(25373,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25374,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 26.83/18.10 tff(25375,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25374, 25373])).
% 26.83/18.10 tff(25376,plain,(
% 26.83/18.10 ![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 26.83/18.10 inference(skolemize,[status(sab)],[25375])).
% 26.83/18.10 tff(25377,plain,
% 26.83/18.10 (![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25376, 25372])).
% 26.83/18.10 tff(25378,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25379,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25380,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25379, 25378])).
% 26.83/18.10 tff(25381,plain,
% 26.83/18.10 (~v88(constB1, bitIndex1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25380, 25377, 406])).
% 26.83/18.10 tff(25382,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25383,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25384,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25383, 25382])).
% 26.83/18.10 tff(25385,plain,
% 26.83/18.10 (~v88(constB1, bitIndex0)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25384, 7950, 427])).
% 26.83/18.10 tff(25386,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25387,plain,
% 26.83/18.10 ((v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1)) <=> (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25388,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25387])).
% 26.83/18.10 tff(25389,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25388, 25386])).
% 26.83/18.10 tff(25390,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB1, bitIndex2) | v88(constB1, bitIndex1) | v88(constB1, bitIndex0) | v139(constB1))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25391,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2) | v139(constB1)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25390, 25389])).
% 26.83/18.10 tff(25392,plain,
% 26.83/18.10 (v139(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25391, 23108, 25385, 25381, 25370])).
% 26.83/18.10 tff(25393,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25394,plain,
% 26.83/18.10 (((~v139(constB1)) | v169(constB1)) <=> (v169(constB1) | (~v139(constB1)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25395,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | (v169(constB1) | (~v139(constB1))))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25394])).
% 26.83/18.10 tff(25396,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1)))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25395, 25393])).
% 26.83/18.10 tff(25397,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | ((~v139(constB1)) | v169(constB1))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25398,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v169(VarCurr))) | v169(constB1) | (~v139(constB1))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 26.83/18.10 tff(25399,plain,
% 26.83/18.10 (v169(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25398, 23120, 25392])).
% 26.83/18.10 tff(25400,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB1) | (~v169(constB1)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB1) | (~v169(constB1)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25401,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB1) | (~v169(constB1)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25402,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB1) | (~v169(constB1))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25401, 25400])).
% 26.83/18.10 tff(25403,plain,
% 26.83/18.10 (v168(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25402, 23060, 25399])).
% 26.83/18.10 tff(25404,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB1)) | v167(constB1))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB1)) | v167(constB1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25405,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB1)) | v167(constB1))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25406,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB1)) | v167(constB1)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25405, 25404])).
% 26.83/18.10 tff(25407,plain,
% 26.83/18.10 (v167(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25406, 23043, 25403])).
% 26.83/18.10 tff(25408,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB1)) | (~v170(constB1)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB1)) | (~v170(constB1)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25409,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB1)) | (~v170(constB1)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25410,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB1)) | (~v170(constB1))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 26.83/18.10 tff(25411,plain,
% 26.83/18.10 (~v170(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25410, 8084, 25407])).
% 26.83/18.10 tff(25412,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25413,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25414,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25413, 25412])).
% 26.83/18.10 tff(25415,plain,
% 26.83/18.10 (v166(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25414, 8098, 25407])).
% 26.83/18.10 tff(25416,plain,
% 26.83/18.10 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB1)) | (~v166(constB1)) | v170(constB1))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | (~v166(constB1)) | v170(constB1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25417,plain,
% 26.83/18.10 (((~v166(constB1)) | v170(constB1) | (~v163(constB1))) <=> ((~v163(constB1)) | (~v166(constB1)) | v170(constB1))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25418,plain,
% 26.83/18.10 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB1)) | (~v166(constB1)) | v170(constB1)))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25417])).
% 26.83/18.10 tff(25419,plain,
% 26.83/18.10 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | (~v166(constB1)) | v170(constB1))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25418, 25416])).
% 26.83/18.10 tff(25420,plain,
% 26.83/18.10 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB1)) | v170(constB1) | (~v163(constB1)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25421,plain,
% 26.83/18.10 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB1)) | (~v166(constB1)) | v170(constB1)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25420, 25419])).
% 26.83/18.10 tff(25422,plain,
% 26.83/18.10 (~v163(constB1)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25421, 8112, 25415, 25411])).
% 26.83/18.10 tff(25423,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25424,plain,
% 26.83/18.10 (((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2))) <=> (v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25425,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2))))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25424])).
% 26.83/18.10 tff(25426,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2)))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25425, 25423])).
% 26.83/18.10 tff(25427,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB1, constB2)) | v163(constB1) | (~v186(constB2)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25428,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB1) | (~nextState(constB1, constB2)) | (~v186(constB2))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 26.83/18.10 tff(25429,plain,
% 26.83/18.10 (v163(constB1) | (~v186(constB2))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25428, 19345, 554])).
% 26.83/18.10 tff(25430,plain,
% 26.83/18.10 (~v186(constB2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25429, 25422])).
% 26.83/18.10 tff(25431,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25432,plain,
% 26.83/18.10 (((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2)) <=> ((~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25433,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v181(constB2) | v104(constB2)))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25432])).
% 26.83/18.10 tff(25434,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB1, constB2)) | v181(constB2) | v104(constB2))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25433, 25431])).
% 26.83/18.10 tff(25435,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | v181(constB2))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25436,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB1, constB2)) | v181(constB2) | v104(constB2)),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 26.83/18.10 tff(25437,plain,
% 26.83/18.10 (v181(constB2) | v104(constB2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25436, 19367, 554])).
% 26.83/18.10 tff(25438,plain,
% 26.83/18.10 (v181(constB2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25437, 586])).
% 26.83/18.10 tff(25439,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25440,plain,
% 26.83/18.10 (((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2))) <=> ((~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25441,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2))))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25440])).
% 26.83/18.10 tff(25442,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2)))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25441, 25439])).
% 26.83/18.10 tff(25443,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB2)) | v180(constB2) | (~v181(constB2)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25444,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB1, constB2)) | v180(constB2) | (~v1(constB2)) | (~v181(constB2))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 26.83/18.10 tff(25445,plain,
% 26.83/18.10 (v180(constB2) | (~v181(constB2))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25444, 19385, 554, 607])).
% 26.83/18.10 tff(25446,plain,
% 26.83/18.10 (v180(constB2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25445, 25438])).
% 26.83/18.10 tff(25447,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25448,plain,
% 26.83/18.10 (((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2)) <=> ((~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25449,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2))))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25448])).
% 26.83/18.10 tff(25450,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2)))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25449, 25447])).
% 26.83/18.10 tff(25451,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB1, constB2)) | (~v180(constB2)) | v179(constB2))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25452,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB1, constB2)) | v179(constB2) | (~v180(constB2))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 26.83/18.10 tff(25453,plain,
% 26.83/18.10 (v179(constB2) | (~v180(constB2))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25452, 19403, 554])).
% 26.83/18.10 tff(25454,plain,
% 26.83/18.10 (v179(constB2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25453, 25446])).
% 26.83/18.10 tff(25455,plain,
% 26.83/18.10 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB2) | (~v159(constB2)) | (~v179(constB2)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB2) | (~v159(constB2)) | (~v179(constB2)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25456,plain,
% 26.83/18.10 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB2) | (~v159(constB2)) | (~v179(constB2)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25457,plain,
% 26.83/18.10 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB2) | (~v159(constB2)) | (~v179(constB2))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25456, 25455])).
% 26.83/18.10 tff(25458,plain,
% 26.83/18.10 (v186(constB2) | (~v159(constB2))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25457, 19421, 25454])).
% 26.83/18.10 tff(25459,plain,
% 26.83/18.10 (~v159(constB2)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25458, 25430])).
% 26.83/18.10 tff(25460,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25461,plain,
% 26.83/18.10 (((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3))) <=> (v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25462,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3))))),
% 26.83/18.10 inference(monotonicity,[status(thm)],[25461])).
% 26.83/18.10 tff(25463,plain,
% 26.83/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3)))),
% 26.83/18.10 inference(transitivity,[status(thm)],[25462, 25460])).
% 26.83/18.10 tff(25464,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB2, constB3)) | v179(constB3) | v159(constB2) | (~v159(constB3)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25465,plain,
% 26.83/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB2) | (~nextState(constB2, constB3)) | v179(constB3) | (~v159(constB3))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25464, 25463])).
% 26.83/18.10 tff(25466,plain,
% 26.83/18.10 (v159(constB2) | v179(constB3) | (~v159(constB3))),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25465, 19471, 709])).
% 26.83/18.10 tff(25467,plain,
% 26.83/18.10 (~v159(constB3)),
% 26.83/18.10 inference(unit_resolution,[status(thm)],[25466, 25459, 25359])).
% 26.83/18.10 tff(25468,plain,
% 26.83/18.10 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB3) | (~v201(constB3)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB3) | (~v201(constB3)))),
% 26.83/18.10 inference(rewrite,[status(thm)],[])).
% 26.83/18.10 tff(25469,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB3) | (~v201(constB3)))),
% 26.83/18.10 inference(quant_inst,[status(thm)],[])).
% 26.83/18.10 tff(25470,plain,
% 26.83/18.10 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB3) | (~v201(constB3))),
% 26.83/18.10 inference(modus_ponens,[status(thm)],[25469, 25468])).
% 26.83/18.11 tff(25471,plain,
% 26.83/18.11 (~v201(constB3)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25470, 19490, 25467])).
% 26.83/18.11 tff(25472,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB3) | (~v200(constB3)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB3) | (~v200(constB3)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25473,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB3) | (~v200(constB3)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25474,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB3) | (~v200(constB3))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25473, 25472])).
% 26.83/18.11 tff(25475,plain,
% 26.83/18.11 (~v200(constB3)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25474, 8143, 25471])).
% 26.83/18.11 tff(25476,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB3) | (~v198(constB3)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB3) | (~v198(constB3)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25477,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB3) | (~v198(constB3)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25478,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB3) | (~v198(constB3))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25477, 25476])).
% 26.83/18.11 tff(25479,plain,
% 26.83/18.11 (~v198(constB3)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25478, 8157, 25475])).
% 26.83/18.11 tff(25480,plain,
% 26.83/18.11 (v1(constB0) <=> v1(constB0)),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25481,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_201')).
% 26.83/18.11 tff(25482,plain,
% 26.83/18.11 (v1(constB0)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25481, 25480])).
% 26.83/18.11 tff(25483,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB0)) | (~v197(constB0)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB0)) | (~v197(constB0)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25484,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB0)) | (~v197(constB0)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25485,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB0)) | (~v197(constB0))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 26.83/18.11 tff(25486,plain,
% 26.83/18.11 (~v197(constB0)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25485, 8215, 25482])).
% 26.83/18.11 tff(25487,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB0) | (~v200(constB0)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB0) | (~v200(constB0)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25488,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB0) | (~v200(constB0)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25489,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB0) | (~v200(constB0))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25488, 25487])).
% 26.83/18.11 tff(25490,plain,
% 26.83/18.11 (~v200(constB0)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25489, 8229, 25486])).
% 26.83/18.11 tff(25491,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB0) | (~v198(constB0)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB0) | (~v198(constB0)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25492,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB0) | (~v198(constB0)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25493,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB0) | (~v198(constB0))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 26.83/18.11 tff(25494,plain,
% 26.83/18.11 (~v198(constB0)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25493, 8157, 25490])).
% 26.83/18.11 tff(25495,plain,
% 26.83/18.11 ((~v193(constB0)) <=> (~v193(constB0))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25496,axiom,(~v193(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_8_1_1_1')).
% 26.83/18.11 tff(25497,plain,
% 26.83/18.11 (~v193(constB0)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 26.83/18.11 tff(25498,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB0) | (~v194(constB0)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB0) | (~v194(constB0)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25499,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB0) | (~v194(constB0)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25500,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB0) | (~v194(constB0))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25499, 25498])).
% 26.83/18.11 tff(25501,plain,
% 26.83/18.11 (~v194(constB0)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25500, 25497, 8201])).
% 26.83/18.11 tff(25502,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB0) | v198(constB0) | (~v191(constB0)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB0) | v198(constB0) | (~v191(constB0)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25503,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB0) | v198(constB0) | (~v191(constB0)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25504,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB0) | v198(constB0) | (~v191(constB0))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25503, 25502])).
% 26.83/18.11 tff(25505,plain,
% 26.83/18.11 (v198(constB0) | (~v191(constB0))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25504, 8171, 25501])).
% 26.83/18.11 tff(25506,plain,
% 26.83/18.11 (~v191(constB0)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25505, 25494])).
% 26.83/18.11 tff(25507,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25508,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25509,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB0, constB1)) | v191(constB0) | (~v193(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25508, 25507])).
% 26.83/18.11 tff(25510,plain,
% 26.83/18.11 (v191(constB0) | (~v193(constB1))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25509, 8186, 332])).
% 26.83/18.11 tff(25511,plain,
% 26.83/18.11 (~v193(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25510, 25506])).
% 26.83/18.11 tff(25512,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB1) | (~v194(constB1)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB1) | (~v194(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25513,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB1) | (~v194(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25514,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB1) | (~v194(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 26.83/18.11 tff(25515,plain,
% 26.83/18.11 (~v194(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25514, 8201, 25511])).
% 26.83/18.11 tff(25516,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25517,plain,
% 26.83/18.11 (((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1))) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25518,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1))))),
% 26.83/18.11 inference(monotonicity,[status(thm)],[25517])).
% 26.83/18.11 tff(25519,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1)))),
% 26.83/18.11 inference(transitivity,[status(thm)],[25518, 25516])).
% 26.83/18.11 tff(25520,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB1) | (~v180(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25521,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v180(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 26.83/18.11 tff(25522,plain,
% 26.83/18.11 (~v180(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25521, 19439, 332, 329])).
% 26.83/18.11 tff(25523,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25524,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25525,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB0, constB1)) | v180(constB1) | (~v179(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25524, 25523])).
% 26.83/18.11 tff(25526,plain,
% 26.83/18.11 (v180(constB1) | (~v179(constB1))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25525, 19456, 332])).
% 26.83/18.11 tff(25527,plain,
% 26.83/18.11 (~v179(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25526, 25522])).
% 26.83/18.11 tff(25528,plain,
% 26.83/18.11 ((~v159(constB0)) <=> (~v159(constB0))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25529,axiom,(~v159(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1')).
% 26.83/18.11 tff(25530,plain,
% 26.83/18.11 (~v159(constB0)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 26.83/18.11 tff(25531,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25532,plain,
% 26.83/18.11 (((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1))) <=> (v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25533,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1))))),
% 26.83/18.11 inference(monotonicity,[status(thm)],[25532])).
% 26.83/18.11 tff(25534,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1)))),
% 26.83/18.11 inference(transitivity,[status(thm)],[25533, 25531])).
% 26.83/18.11 tff(25535,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | v159(constB0) | (~v159(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25536,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB0) | (~nextState(constB0, constB1)) | v179(constB1) | (~v159(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 26.83/18.11 tff(25537,plain,
% 26.83/18.11 (v179(constB1) | (~v159(constB1))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25536, 25530, 19471, 332])).
% 26.83/18.11 tff(25538,plain,
% 26.83/18.11 (~v159(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25537, 25527])).
% 26.83/18.11 tff(25539,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB1) | (~v201(constB1)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB1) | (~v201(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25540,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB1) | (~v201(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25541,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB1) | (~v201(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25540, 25539])).
% 26.83/18.11 tff(25542,plain,
% 26.83/18.11 (~v201(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25541, 19490, 25538])).
% 26.83/18.11 tff(25543,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB1) | (~v200(constB1)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB1) | (~v200(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25544,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB1) | (~v200(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25545,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB1) | (~v200(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25544, 25543])).
% 26.83/18.11 tff(25546,plain,
% 26.83/18.11 (~v200(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25545, 8143, 25542])).
% 26.83/18.11 tff(25547,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB1) | (~v198(constB1)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB1) | (~v198(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25548,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB1) | (~v198(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25549,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB1) | (~v198(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25548, 25547])).
% 26.83/18.11 tff(25550,plain,
% 26.83/18.11 (~v198(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25549, 8157, 25546])).
% 26.83/18.11 tff(25551,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB1) | v198(constB1) | (~v191(constB1)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB1) | v198(constB1) | (~v191(constB1)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25552,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB1) | v198(constB1) | (~v191(constB1)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25553,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB1) | v198(constB1) | (~v191(constB1))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 26.83/18.11 tff(25554,plain,
% 26.83/18.11 (~v191(constB1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25553, 8171, 25550, 25515])).
% 26.83/18.11 tff(25555,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25556,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25557,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB1, constB2)) | v191(constB1) | (~v193(constB2))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 26.83/18.11 tff(25558,plain,
% 26.83/18.11 (v191(constB1) | (~v193(constB2))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25557, 8186, 554])).
% 26.83/18.11 tff(25559,plain,
% 26.83/18.11 (~v193(constB2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25558, 25554])).
% 26.83/18.11 tff(25560,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB2) | (~v194(constB2)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB2) | (~v194(constB2)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25561,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB2) | (~v194(constB2)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25562,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB2) | (~v194(constB2))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25561, 25560])).
% 26.83/18.11 tff(25563,plain,
% 26.83/18.11 (~v194(constB2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25562, 8201, 25559])).
% 26.83/18.11 tff(25564,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB2)) | (~v197(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB2)) | (~v197(constB2)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25565,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB2)) | (~v197(constB2)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25566,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB2)) | (~v197(constB2))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25565, 25564])).
% 26.83/18.11 tff(25567,plain,
% 26.83/18.11 (~v197(constB2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25566, 8215, 607])).
% 26.83/18.11 tff(25568,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB2) | (~v200(constB2)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB2) | (~v200(constB2)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25569,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB2) | (~v200(constB2)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25570,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB2) | (~v200(constB2))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25569, 25568])).
% 26.83/18.11 tff(25571,plain,
% 26.83/18.11 (~v200(constB2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25570, 8229, 25567])).
% 26.83/18.11 tff(25572,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB2) | (~v198(constB2)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB2) | (~v198(constB2)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25573,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB2) | (~v198(constB2)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25574,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB2) | (~v198(constB2))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25573, 25572])).
% 26.83/18.11 tff(25575,plain,
% 26.83/18.11 (~v198(constB2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25574, 8157, 25571])).
% 26.83/18.11 tff(25576,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB2) | v198(constB2) | (~v191(constB2)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB2) | v198(constB2) | (~v191(constB2)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25577,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB2) | v198(constB2) | (~v191(constB2)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25578,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB2) | v198(constB2) | (~v191(constB2))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25577, 25576])).
% 26.83/18.11 tff(25579,plain,
% 26.83/18.11 (v194(constB2) | (~v191(constB2))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25578, 8171, 25575])).
% 26.83/18.11 tff(25580,plain,
% 26.83/18.11 (~v191(constB2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25579, 25563])).
% 26.83/18.11 tff(25581,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25582,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25583,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB2, constB3)) | v191(constB2) | (~v193(constB3))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25582, 25581])).
% 26.83/18.11 tff(25584,plain,
% 26.83/18.11 (v191(constB2) | (~v193(constB3))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25583, 8186, 709])).
% 26.83/18.11 tff(25585,plain,
% 26.83/18.11 (~v193(constB3)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25584, 25580])).
% 26.83/18.11 tff(25586,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB3) | (~v194(constB3)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB3) | (~v194(constB3)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25587,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB3) | (~v194(constB3)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25588,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB3) | (~v194(constB3))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25587, 25586])).
% 26.83/18.11 tff(25589,plain,
% 26.83/18.11 (~v194(constB3)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25588, 8201, 25585])).
% 26.83/18.11 tff(25590,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB3) | v198(constB3) | (~v191(constB3)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB3) | v198(constB3) | (~v191(constB3)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25591,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB3) | v198(constB3) | (~v191(constB3)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25592,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB3) | v198(constB3) | (~v191(constB3))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25591, 25590])).
% 26.83/18.11 tff(25593,plain,
% 26.83/18.11 (v198(constB3) | (~v191(constB3))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25592, 8171, 25589])).
% 26.83/18.11 tff(25594,plain,
% 26.83/18.11 (~v191(constB3)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25593, 25479])).
% 26.83/18.11 tff(25595,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25596,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25597,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB3, constB4)) | v191(constB3) | (~v193(constB4))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 26.83/18.11 tff(25598,plain,
% 26.83/18.11 (v191(constB3) | (~v193(constB4))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25597, 8186, 958])).
% 26.83/18.11 tff(25599,plain,
% 26.83/18.11 (~v193(constB4)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25598, 25594])).
% 26.83/18.11 tff(25600,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB4) | (~v194(constB4)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB4) | (~v194(constB4)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25601,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB4) | (~v194(constB4)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25602,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB4) | (~v194(constB4))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25601, 25600])).
% 26.83/18.11 tff(25603,plain,
% 26.83/18.11 (~v194(constB4)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25602, 8201, 25599])).
% 26.83/18.11 tff(25604,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB4)) | (~v197(constB4)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB4)) | (~v197(constB4)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25605,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB4)) | (~v197(constB4)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25606,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB4)) | (~v197(constB4))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25605, 25604])).
% 26.83/18.11 tff(25607,plain,
% 26.83/18.11 (~v197(constB4)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25606, 8215, 981])).
% 26.83/18.11 tff(25608,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB4) | (~v200(constB4)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB4) | (~v200(constB4)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25609,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB4) | (~v200(constB4)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25610,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB4) | (~v200(constB4))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25609, 25608])).
% 26.83/18.11 tff(25611,plain,
% 26.83/18.11 (~v200(constB4)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25610, 8229, 25607])).
% 26.83/18.11 tff(25612,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB4) | (~v198(constB4)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB4) | (~v198(constB4)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25613,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB4) | (~v198(constB4)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25614,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB4) | (~v198(constB4))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25613, 25612])).
% 26.83/18.11 tff(25615,plain,
% 26.83/18.11 (~v198(constB4)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25614, 8157, 25611])).
% 26.83/18.11 tff(25616,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB4) | v198(constB4) | (~v191(constB4)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB4) | v198(constB4) | (~v191(constB4)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25617,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB4) | v198(constB4) | (~v191(constB4)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25618,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB4) | v198(constB4) | (~v191(constB4))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25617, 25616])).
% 26.83/18.11 tff(25619,plain,
% 26.83/18.11 (v194(constB4) | (~v191(constB4))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25618, 8171, 25615])).
% 26.83/18.11 tff(25620,plain,
% 26.83/18.11 (~v191(constB4)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25619, 25603])).
% 26.83/18.11 tff(25621,plain,
% 26.83/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25622,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25623,plain,
% 26.83/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB4, constB5)) | v191(constB4) | (~v193(constB5))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25622, 25621])).
% 26.83/18.11 tff(25624,plain,
% 26.83/18.11 (v191(constB4) | (~v193(constB5))),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25623, 8186, 1033])).
% 26.83/18.11 tff(25625,plain,
% 26.83/18.11 (~v193(constB5)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25624, 25620])).
% 26.83/18.11 tff(25626,plain,
% 26.83/18.11 ($false),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25625, 25347])).
% 26.83/18.11 tff(25627,plain,(~(constB5 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.11 tff(25628,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.11 tff(25629,plain,
% 26.83/18.11 (v1(constB68) <=> v1(sK0_VarCurr)),
% 26.83/18.11 inference(monotonicity,[status(thm)],[25628])).
% 26.83/18.11 tff(25630,plain,
% 26.83/18.11 (v1(sK0_VarCurr) <=> v1(constB68)),
% 26.83/18.11 inference(symmetry,[status(thm)],[25629])).
% 26.83/18.11 tff(25631,plain,
% 26.83/18.11 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 26.83/18.11 inference(monotonicity,[status(thm)],[25630])).
% 26.83/18.11 tff(25632,plain,
% 26.83/18.11 (~v1(constB68)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25165, 25631])).
% 26.83/18.11 tff(25633,plain,
% 26.83/18.11 ($false),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[9181, 25632])).
% 26.83/18.11 tff(25634,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.11 tff(25635,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.11 tff(25636,plain,
% 26.83/18.11 (v193(constB57) <=> v193(sK0_VarCurr)),
% 26.83/18.11 inference(monotonicity,[status(thm)],[25635])).
% 26.83/18.11 tff(25637,plain,
% 26.83/18.11 (v193(sK0_VarCurr) <=> v193(constB57)),
% 26.83/18.11 inference(symmetry,[status(thm)],[25636])).
% 26.83/18.11 tff(25638,plain,
% 26.83/18.11 (v193(constB57)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[8270, 25637])).
% 26.83/18.11 tff(25639,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB53, bitIndex2)) | v90(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB53, bitIndex2)) | v90(constB53, bitIndex2))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25640,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB53, bitIndex2)) | v90(constB53, bitIndex2))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25641,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB53, bitIndex2)) | v90(constB53, bitIndex2)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25640, 25639])).
% 26.83/18.11 tff(25642,plain,
% 26.83/18.11 (~v88(constB53, bitIndex2)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25641, 25366, 7088])).
% 26.83/18.11 tff(25643,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB53, bitIndex0)) | v90(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB53, bitIndex0)) | v90(constB53, bitIndex0))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25644,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB53, bitIndex0)) | v90(constB53, bitIndex0))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25645,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB53, bitIndex0)) | v90(constB53, bitIndex0)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25644, 25643])).
% 26.83/18.11 tff(25646,plain,
% 26.83/18.11 (~v88(constB53, bitIndex0)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25645, 7950, 7153])).
% 26.83/18.11 tff(25647,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25648,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25649,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB53, bitIndex1)) | v88(constB53, bitIndex1)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25648, 25647])).
% 26.83/18.11 tff(25650,plain,
% 26.83/18.11 (v88(constB53, bitIndex1)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25649, 8034, 7119])).
% 26.83/18.11 tff(25651,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v143(constB53))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25652,plain,
% 26.83/18.11 ((v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53)) <=> (v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v143(constB53))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25653,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v143(constB53)))),
% 26.83/18.11 inference(monotonicity,[status(thm)],[25652])).
% 26.83/18.11 tff(25654,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v143(constB53))),
% 26.83/18.11 inference(transitivity,[status(thm)],[25653, 25651])).
% 26.83/18.11 tff(25655,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex0) | v143(constB53))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25656,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)) | v143(constB53)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 26.83/18.11 tff(25657,plain,
% 26.83/18.11 (v143(constB53)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25656, 23093, 25650, 25646, 25642])).
% 26.83/18.11 tff(25658,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB53)) | v142(constB53))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25659,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25660,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB53)) | v142(constB53)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 26.83/18.11 tff(25661,plain,
% 26.83/18.11 (v142(constB53)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25660, 23075, 25657])).
% 26.83/18.11 tff(25662,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB53)) | v167(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB53)) | v167(constB53))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25663,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB53)) | v167(constB53))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25664,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB53)) | v167(constB53)),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25663, 25662])).
% 26.83/18.11 tff(25665,plain,
% 26.83/18.11 (v167(constB53)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25664, 8073, 25661])).
% 26.83/18.11 tff(25666,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB53)) | (~v170(constB53)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB53)) | (~v170(constB53)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25667,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB53)) | (~v170(constB53)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.11 tff(25668,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB53)) | (~v170(constB53))),
% 26.83/18.11 inference(modus_ponens,[status(thm)],[25667, 25666])).
% 26.83/18.11 tff(25669,plain,
% 26.83/18.11 (~v170(constB53)),
% 26.83/18.11 inference(unit_resolution,[status(thm)],[25668, 8084, 25665])).
% 26.83/18.11 tff(25670,plain,
% 26.83/18.11 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB53) | (~v167(constB53)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB53) | (~v167(constB53)))),
% 26.83/18.11 inference(rewrite,[status(thm)],[])).
% 26.83/18.11 tff(25671,plain,
% 26.83/18.11 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB53) | (~v167(constB53)))),
% 26.83/18.11 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25672,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB53) | (~v167(constB53))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 26.83/18.12 tff(25673,plain,
% 26.83/18.12 (v166(constB53)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25672, 8098, 25665])).
% 26.83/18.12 tff(25674,plain,
% 26.83/18.12 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB53)) | (~v166(constB53)) | v170(constB53))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB53)) | (~v166(constB53)) | v170(constB53))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25675,plain,
% 26.83/18.12 (((~v166(constB53)) | v170(constB53) | (~v163(constB53))) <=> ((~v163(constB53)) | (~v166(constB53)) | v170(constB53))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25676,plain,
% 26.83/18.12 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB53)) | v170(constB53) | (~v163(constB53)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB53)) | (~v166(constB53)) | v170(constB53)))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25675])).
% 26.83/18.12 tff(25677,plain,
% 26.83/18.12 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB53)) | v170(constB53) | (~v163(constB53)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB53)) | (~v166(constB53)) | v170(constB53))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25676, 25674])).
% 26.83/18.12 tff(25678,plain,
% 26.83/18.12 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB53)) | v170(constB53) | (~v163(constB53)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25679,plain,
% 26.83/18.12 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB53)) | (~v166(constB53)) | v170(constB53)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25678, 25677])).
% 26.83/18.12 tff(25680,plain,
% 26.83/18.12 (~v163(constB53)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25679, 8112, 25673, 25669])).
% 26.83/18.12 tff(25681,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB53) | (~nextState(constB53, constB54)) | (~v186(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB53) | (~nextState(constB53, constB54)) | (~v186(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25682,plain,
% 26.83/18.12 (((~nextState(constB53, constB54)) | v163(constB53) | (~v186(constB54))) <=> (v163(constB53) | (~nextState(constB53, constB54)) | (~v186(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25683,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB53, constB54)) | v163(constB53) | (~v186(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB53) | (~nextState(constB53, constB54)) | (~v186(constB54))))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25682])).
% 26.83/18.12 tff(25684,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB53, constB54)) | v163(constB53) | (~v186(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB53) | (~nextState(constB53, constB54)) | (~v186(constB54)))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25683, 25681])).
% 26.83/18.12 tff(25685,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB53, constB54)) | v163(constB53) | (~v186(constB54)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25686,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB53) | (~nextState(constB53, constB54)) | (~v186(constB54))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25685, 25684])).
% 26.83/18.12 tff(25687,plain,
% 26.83/18.12 (v163(constB53) | (~v186(constB54))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25686, 19345, 7199])).
% 26.83/18.12 tff(25688,plain,
% 26.83/18.12 (~v186(constB54)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25687, 25680])).
% 26.83/18.12 tff(25689,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB53, constB54)) | v181(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB53, constB54)) | v181(constB54) | v104(constB54))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25690,plain,
% 26.83/18.12 (((~nextState(constB53, constB54)) | v104(constB54) | v181(constB54)) <=> ((~nextState(constB53, constB54)) | v181(constB54) | v104(constB54))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25691,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v181(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB53, constB54)) | v181(constB54) | v104(constB54)))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25690])).
% 26.83/18.12 tff(25692,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v181(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB53, constB54)) | v181(constB54) | v104(constB54))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25691, 25689])).
% 26.83/18.12 tff(25693,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | v181(constB54))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25694,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB53, constB54)) | v181(constB54) | v104(constB54)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25693, 25692])).
% 26.83/18.12 tff(25695,plain,
% 26.83/18.12 (v181(constB54) | v104(constB54)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25694, 19367, 7199])).
% 26.83/18.12 tff(25696,plain,
% 26.83/18.12 (v181(constB54)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25695, 7211])).
% 26.83/18.12 tff(25697,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB53, constB54)) | v180(constB54) | (~v1(constB54)) | (~v181(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB53, constB54)) | v180(constB54) | (~v1(constB54)) | (~v181(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25698,plain,
% 26.83/18.12 (((~nextState(constB53, constB54)) | (~v1(constB54)) | v180(constB54) | (~v181(constB54))) <=> ((~nextState(constB53, constB54)) | v180(constB54) | (~v1(constB54)) | (~v181(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25699,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v180(constB54) | (~v181(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB53, constB54)) | v180(constB54) | (~v1(constB54)) | (~v181(constB54))))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25698])).
% 26.83/18.12 tff(25700,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v180(constB54) | (~v181(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB53, constB54)) | v180(constB54) | (~v1(constB54)) | (~v181(constB54)))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25699, 25697])).
% 26.83/18.12 tff(25701,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB53, constB54)) | (~v1(constB54)) | v180(constB54) | (~v181(constB54)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25702,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB53, constB54)) | v180(constB54) | (~v1(constB54)) | (~v181(constB54))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 26.83/18.12 tff(25703,plain,
% 26.83/18.12 (v180(constB54) | (~v181(constB54))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25702, 19385, 7199, 7222])).
% 26.83/18.12 tff(25704,plain,
% 26.83/18.12 (v180(constB54)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25703, 25696])).
% 26.83/18.12 tff(25705,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB53, constB54)) | v179(constB54) | (~v180(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB53, constB54)) | v179(constB54) | (~v180(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25706,plain,
% 26.83/18.12 (((~nextState(constB53, constB54)) | (~v180(constB54)) | v179(constB54)) <=> ((~nextState(constB53, constB54)) | v179(constB54) | (~v180(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25707,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB53, constB54)) | (~v180(constB54)) | v179(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB53, constB54)) | v179(constB54) | (~v180(constB54))))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25706])).
% 26.83/18.12 tff(25708,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB53, constB54)) | (~v180(constB54)) | v179(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB53, constB54)) | v179(constB54) | (~v180(constB54)))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25707, 25705])).
% 26.83/18.12 tff(25709,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB53, constB54)) | (~v180(constB54)) | v179(constB54))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25710,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB53, constB54)) | v179(constB54) | (~v180(constB54))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25709, 25708])).
% 26.83/18.12 tff(25711,plain,
% 26.83/18.12 (v179(constB54) | (~v180(constB54))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25710, 19403, 7199])).
% 26.83/18.12 tff(25712,plain,
% 26.83/18.12 (v179(constB54)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25711, 25704])).
% 26.83/18.12 tff(25713,plain,
% 26.83/18.12 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB54) | (~v159(constB54)) | (~v179(constB54)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB54) | (~v159(constB54)) | (~v179(constB54)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25714,plain,
% 26.83/18.12 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB54) | (~v159(constB54)) | (~v179(constB54)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25715,plain,
% 26.83/18.12 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB54) | (~v159(constB54)) | (~v179(constB54))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25714, 25713])).
% 26.83/18.12 tff(25716,plain,
% 26.83/18.12 (v186(constB54) | (~v159(constB54))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25715, 19421, 25712])).
% 26.83/18.12 tff(25717,plain,
% 26.83/18.12 (~v159(constB54)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25716, 25688])).
% 26.83/18.12 tff(25718,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v180(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v180(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25719,plain,
% 26.83/18.12 (((~nextState(constB54, constB55)) | v1(constB55) | (~v180(constB55))) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v180(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25720,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v1(constB55) | (~v180(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v180(constB55))))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25719])).
% 26.83/18.12 tff(25721,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v1(constB55) | (~v180(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v180(constB55)))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25720, 25718])).
% 26.83/18.12 tff(25722,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v1(constB55) | (~v180(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25723,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v180(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25722, 25721])).
% 26.83/18.12 tff(25724,plain,
% 26.83/18.12 (~v180(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25723, 19439, 7267, 7264])).
% 26.83/18.12 tff(25725,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB54, constB55)) | v180(constB55) | (~v179(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB54, constB55)) | v180(constB55) | (~v179(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25726,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB54, constB55)) | v180(constB55) | (~v179(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25727,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB54, constB55)) | v180(constB55) | (~v179(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25726, 25725])).
% 26.83/18.12 tff(25728,plain,
% 26.83/18.12 (v180(constB55) | (~v179(constB55))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25727, 19456, 7267])).
% 26.83/18.12 tff(25729,plain,
% 26.83/18.12 (~v179(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25728, 25724])).
% 26.83/18.12 tff(25730,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB54) | (~nextState(constB54, constB55)) | v179(constB55) | (~v159(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB54) | (~nextState(constB54, constB55)) | v179(constB55) | (~v159(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25731,plain,
% 26.83/18.12 (((~nextState(constB54, constB55)) | v179(constB55) | v159(constB54) | (~v159(constB55))) <=> (v159(constB54) | (~nextState(constB54, constB55)) | v179(constB55) | (~v159(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25732,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB54, constB55)) | v179(constB55) | v159(constB54) | (~v159(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB54) | (~nextState(constB54, constB55)) | v179(constB55) | (~v159(constB55))))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25731])).
% 26.83/18.12 tff(25733,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB54, constB55)) | v179(constB55) | v159(constB54) | (~v159(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB54) | (~nextState(constB54, constB55)) | v179(constB55) | (~v159(constB55)))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25732, 25730])).
% 26.83/18.12 tff(25734,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB54, constB55)) | v179(constB55) | v159(constB54) | (~v159(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25735,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB54) | (~nextState(constB54, constB55)) | v179(constB55) | (~v159(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25734, 25733])).
% 26.83/18.12 tff(25736,plain,
% 26.83/18.12 (v159(constB54) | v179(constB55) | (~v159(constB55))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25735, 19471, 7267])).
% 26.83/18.12 tff(25737,plain,
% 26.83/18.12 (v159(constB54) | (~v159(constB55))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25736, 25729])).
% 26.83/18.12 tff(25738,plain,
% 26.83/18.12 (~v159(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25737, 25717])).
% 26.83/18.12 tff(25739,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB55) | (~v201(constB55)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB55) | (~v201(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25740,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB55) | (~v201(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25741,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB55) | (~v201(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25740, 25739])).
% 26.83/18.12 tff(25742,plain,
% 26.83/18.12 (~v201(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25741, 19490, 25738])).
% 26.83/18.12 tff(25743,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB55) | (~v200(constB55)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB55) | (~v200(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25744,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB55) | (~v200(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25745,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB55) | (~v200(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25744, 25743])).
% 26.83/18.12 tff(25746,plain,
% 26.83/18.12 (~v200(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25745, 8143, 25742])).
% 26.83/18.12 tff(25747,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB55) | (~v198(constB55)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB55) | (~v198(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25748,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB55) | (~v198(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25749,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB55) | (~v198(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25748, 25747])).
% 26.83/18.12 tff(25750,plain,
% 26.83/18.12 (~v198(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25749, 8157, 25746])).
% 26.83/18.12 tff(25751,assumption,(v18(constB56)), introduced(assumption)).
% 26.83/18.12 tff(25752,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB56))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25753,plain,
% 26.83/18.12 ($false),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25752, 8, 25751])).
% 26.83/18.12 tff(25754,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.12 tff(25755,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25756,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25757,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 26.83/18.12 tff(25758,plain,
% 26.83/18.12 (v22(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25757, 24, 7431])).
% 26.83/18.12 tff(25759,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25760,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25761,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 26.83/18.12 tff(25762,plain,
% 26.83/18.12 (v18(constB56) | (~v19(constB56))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25761, 38, 25758])).
% 26.83/18.12 tff(25763,plain,
% 26.83/18.12 (~v19(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25762, 25754])).
% 26.83/18.12 tff(25764,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25765,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25766,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25765, 25764])).
% 26.83/18.12 tff(25767,plain,
% 26.83/18.12 (v13(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25766, 50, 25763])).
% 26.83/18.12 tff(25768,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25769,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25770,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 26.83/18.12 tff(25771,plain,
% 26.83/18.12 (v9(constB55) | (~v13(constB56))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25770, 67, 7408])).
% 26.83/18.12 tff(25772,plain,
% 26.83/18.12 (v9(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25771, 25767])).
% 26.83/18.12 tff(25773,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v197(constB55))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB55) | (~v9(constB55)) | v197(constB55))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25774,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v197(constB55))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25775,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB55) | (~v9(constB55)) | v197(constB55)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25774, 25773])).
% 26.83/18.12 tff(25776,plain,
% 26.83/18.12 ((~v9(constB55)) | v197(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25775, 85, 7264])).
% 26.83/18.12 tff(25777,plain,
% 26.83/18.12 (v197(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25776, 25772])).
% 26.83/18.12 tff(25778,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB55)) | v196(constB55))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB55)) | v196(constB55))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25779,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB55)) | v196(constB55))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25780,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB55)) | v196(constB55)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25779, 25778])).
% 26.83/18.12 tff(25781,plain,
% 26.83/18.12 (v196(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25780, 97, 25777])).
% 26.83/18.12 tff(25782,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB55)) | (~v196(constB55)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB55)) | (~v196(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25783,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB55)) | (~v196(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25784,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB55)) | (~v196(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25783, 25782])).
% 26.83/18.12 tff(25785,plain,
% 26.83/18.12 (~v194(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25784, 108, 25781])).
% 26.83/18.12 tff(25786,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB55) | v198(constB55) | (~v191(constB55)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB55) | v198(constB55) | (~v191(constB55)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25787,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB55) | v198(constB55) | (~v191(constB55)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25788,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB55) | v198(constB55) | (~v191(constB55))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25787, 25786])).
% 26.83/18.12 tff(25789,plain,
% 26.83/18.12 (v198(constB55) | (~v191(constB55))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25788, 8171, 25785])).
% 26.83/18.12 tff(25790,plain,
% 26.83/18.12 (~v191(constB55)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25789, 25750])).
% 26.83/18.12 tff(25791,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25792,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25793,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB55, constB56)) | v191(constB55) | (~v193(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25792, 25791])).
% 26.83/18.12 tff(25794,plain,
% 26.83/18.12 (v191(constB55) | (~v193(constB56))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25793, 8186, 7408])).
% 26.83/18.12 tff(25795,plain,
% 26.83/18.12 (~v193(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25794, 25790])).
% 26.83/18.12 tff(25796,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB56) | (~v194(constB56)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB56) | (~v194(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25797,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB56) | (~v194(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25798,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB56) | (~v194(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25797, 25796])).
% 26.83/18.12 tff(25799,plain,
% 26.83/18.12 (~v194(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25798, 8201, 25795])).
% 26.83/18.12 tff(25800,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB56)) | (~v197(constB56)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB56)) | (~v197(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25801,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB56)) | (~v197(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25802,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB56)) | (~v197(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25801, 25800])).
% 26.83/18.12 tff(25803,plain,
% 26.83/18.12 (~v197(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25802, 8215, 7431])).
% 26.83/18.12 tff(25804,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB56) | (~v200(constB56)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB56) | (~v200(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25805,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB56) | (~v200(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25806,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB56) | (~v200(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 26.83/18.12 tff(25807,plain,
% 26.83/18.12 (~v200(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25806, 8229, 25803])).
% 26.83/18.12 tff(25808,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB56) | (~v198(constB56)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB56) | (~v198(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25809,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB56) | (~v198(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25810,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB56) | (~v198(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 26.83/18.12 tff(25811,plain,
% 26.83/18.12 (~v198(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25810, 8157, 25807])).
% 26.83/18.12 tff(25812,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB56) | v198(constB56) | (~v191(constB56)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB56) | v198(constB56) | (~v191(constB56)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25813,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB56) | v198(constB56) | (~v191(constB56)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25814,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB56) | v198(constB56) | (~v191(constB56))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25813, 25812])).
% 26.83/18.12 tff(25815,plain,
% 26.83/18.12 (v194(constB56) | (~v191(constB56))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25814, 8171, 25811])).
% 26.83/18.12 tff(25816,plain,
% 26.83/18.12 (~v191(constB56)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25815, 25799])).
% 26.83/18.12 tff(25817,plain,
% 26.83/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57)))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25818,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57)))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25819,plain,
% 26.83/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB56, constB57)) | v191(constB56) | (~v193(constB57))),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25818, 25817])).
% 26.83/18.12 tff(25820,plain,
% 26.83/18.12 (v191(constB56) | (~v193(constB57))),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25819, 8186, 7480])).
% 26.83/18.12 tff(25821,plain,
% 26.83/18.12 (~v193(constB57)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25820, 25816])).
% 26.83/18.12 tff(25822,plain,
% 26.83/18.12 ($false),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25821, 25638])).
% 26.83/18.12 tff(25823,plain,(~(constB57 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.12 tff(25824,assumption,(constB188 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.12 tff(25825,plain,
% 26.83/18.12 (v1(constB188) <=> v1(sK0_VarCurr)),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25824])).
% 26.83/18.12 tff(25826,plain,
% 26.83/18.12 (v1(sK0_VarCurr) <=> v1(constB188)),
% 26.83/18.12 inference(symmetry,[status(thm)],[25825])).
% 26.83/18.12 tff(25827,plain,
% 26.83/18.12 ((~v1(sK0_VarCurr)) <=> (~v1(constB188))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25826])).
% 26.83/18.12 tff(25828,plain,
% 26.83/18.12 (~v1(constB188)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25165, 25827])).
% 26.83/18.12 tff(25829,plain,
% 26.83/18.12 ($false),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[24351, 25828])).
% 26.83/18.12 tff(25830,plain,(~(constB188 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.83/18.12 tff(25831,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 26.83/18.12 tff(25832,plain,
% 26.83/18.12 (v193(constB153) <=> v193(sK0_VarCurr)),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25831])).
% 26.83/18.12 tff(25833,plain,
% 26.83/18.12 (v193(sK0_VarCurr) <=> v193(constB153)),
% 26.83/18.12 inference(symmetry,[status(thm)],[25832])).
% 26.83/18.12 tff(25834,plain,
% 26.83/18.12 (v193(constB153)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[8270, 25833])).
% 26.83/18.12 tff(25835,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25836,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25837,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25836, 25835])).
% 26.83/18.12 tff(25838,plain,
% 26.83/18.12 (~v88(constB149, bitIndex2)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25837, 25366, 18352])).
% 26.83/18.12 tff(25839,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25840,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25841,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 26.83/18.12 tff(25842,plain,
% 26.83/18.12 (~v88(constB149, bitIndex0)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25841, 7950, 18417])).
% 26.83/18.12 tff(25843,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25844,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 26.83/18.12 inference(quant_inst,[status(thm)],[])).
% 26.83/18.12 tff(25845,plain,
% 26.83/18.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1)),
% 26.83/18.12 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 26.83/18.12 tff(25846,plain,
% 26.83/18.12 (v88(constB149, bitIndex1)),
% 26.83/18.12 inference(unit_resolution,[status(thm)],[25845, 8034, 18383])).
% 26.83/18.12 tff(25847,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25848,plain,
% 26.83/18.12 ((v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149)) <=> ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))),
% 26.83/18.12 inference(rewrite,[status(thm)],[])).
% 26.83/18.12 tff(25849,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149)))),
% 26.83/18.12 inference(monotonicity,[status(thm)],[25848])).
% 26.83/18.12 tff(25850,plain,
% 26.83/18.12 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149))),
% 26.83/18.12 inference(transitivity,[status(thm)],[25849, 25847])).
% 26.83/18.13 tff(25851,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25852,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0) | v143(constB149)),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25851, 25850])).
% 26.83/18.13 tff(25853,plain,
% 26.83/18.13 (v143(constB149)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25852, 23093, 25846, 25842, 25838])).
% 26.83/18.13 tff(25854,plain,
% 26.83/18.13 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25855,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25856,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149)),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25855, 25854])).
% 26.83/18.13 tff(25857,plain,
% 26.83/18.13 (v142(constB149)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25856, 23075, 25853])).
% 26.83/18.13 tff(25858,plain,
% 26.83/18.13 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB149)) | v167(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB149)) | v167(constB149))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25859,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB149)) | v167(constB149))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25860,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB149)) | v167(constB149)),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25859, 25858])).
% 26.83/18.13 tff(25861,plain,
% 26.83/18.13 (v167(constB149)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25860, 8073, 25857])).
% 26.83/18.13 tff(25862,plain,
% 26.83/18.13 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB149)) | (~v170(constB149)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB149)) | (~v170(constB149)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25863,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB149)) | (~v170(constB149)))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25864,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB149)) | (~v170(constB149))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25863, 25862])).
% 26.83/18.13 tff(25865,plain,
% 26.83/18.13 (~v170(constB149)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25864, 8084, 25861])).
% 26.83/18.13 tff(25866,plain,
% 26.83/18.13 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB149) | (~v167(constB149)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB149) | (~v167(constB149)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25867,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB149) | (~v167(constB149)))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25868,plain,
% 26.83/18.13 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB149) | (~v167(constB149))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 26.83/18.13 tff(25869,plain,
% 26.83/18.13 (v166(constB149)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25868, 8098, 25861])).
% 26.83/18.13 tff(25870,plain,
% 26.83/18.13 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB149)) | v170(constB149) | (~v166(constB149)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB149)) | v170(constB149) | (~v166(constB149)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25871,plain,
% 26.83/18.13 (((~v166(constB149)) | v170(constB149) | (~v163(constB149))) <=> ((~v163(constB149)) | v170(constB149) | (~v166(constB149)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25872,plain,
% 26.83/18.13 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB149)) | v170(constB149) | (~v163(constB149)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB149)) | v170(constB149) | (~v166(constB149))))),
% 26.83/18.13 inference(monotonicity,[status(thm)],[25871])).
% 26.83/18.13 tff(25873,plain,
% 26.83/18.13 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB149)) | v170(constB149) | (~v163(constB149)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB149)) | v170(constB149) | (~v166(constB149)))),
% 26.83/18.13 inference(transitivity,[status(thm)],[25872, 25870])).
% 26.83/18.13 tff(25874,plain,
% 26.83/18.13 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB149)) | v170(constB149) | (~v163(constB149)))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25875,plain,
% 26.83/18.13 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB149)) | v170(constB149) | (~v166(constB149))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 26.83/18.13 tff(25876,plain,
% 26.83/18.13 (~v163(constB149)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25875, 8112, 25869, 25865])).
% 26.83/18.13 tff(25877,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25878,plain,
% 26.83/18.13 (((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150))) <=> (v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25879,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150))))),
% 26.83/18.13 inference(monotonicity,[status(thm)],[25878])).
% 26.83/18.13 tff(25880,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150)))),
% 26.83/18.13 inference(transitivity,[status(thm)],[25879, 25877])).
% 26.83/18.13 tff(25881,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB149, constB150)) | v163(constB149) | (~v186(constB150)))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25882,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB149) | (~nextState(constB149, constB150)) | (~v186(constB150))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25881, 25880])).
% 26.83/18.13 tff(25883,plain,
% 26.83/18.13 (v163(constB149) | (~v186(constB150))),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25882, 19345, 18437])).
% 26.83/18.13 tff(25884,plain,
% 26.83/18.13 (~v186(constB150)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25883, 25876])).
% 26.83/18.13 tff(25885,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25886,plain,
% 26.83/18.13 (((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150)) <=> ((~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25887,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v181(constB150) | v104(constB150)))),
% 26.83/18.13 inference(monotonicity,[status(thm)],[25886])).
% 26.83/18.13 tff(25888,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB149, constB150)) | v181(constB150) | v104(constB150))),
% 26.83/18.13 inference(transitivity,[status(thm)],[25887, 25885])).
% 26.83/18.13 tff(25889,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | v181(constB150))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25890,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB149, constB150)) | v181(constB150) | v104(constB150)),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 26.83/18.13 tff(25891,plain,
% 26.83/18.13 (v181(constB150) | v104(constB150)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25890, 19367, 18437])).
% 26.83/18.13 tff(25892,plain,
% 26.83/18.13 (v181(constB150)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25891, 18470])).
% 26.83/18.13 tff(25893,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25894,plain,
% 26.83/18.13 (((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150))) <=> ((~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25895,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150))))),
% 26.83/18.13 inference(monotonicity,[status(thm)],[25894])).
% 26.83/18.13 tff(25896,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150)))),
% 26.83/18.13 inference(transitivity,[status(thm)],[25895, 25893])).
% 26.83/18.13 tff(25897,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB149, constB150)) | (~v1(constB150)) | v180(constB150) | (~v181(constB150)))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25898,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB149, constB150)) | v180(constB150) | (~v1(constB150)) | (~v181(constB150))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25897, 25896])).
% 26.83/18.13 tff(25899,plain,
% 26.83/18.13 (v180(constB150) | (~v181(constB150))),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25898, 19385, 18437, 18481])).
% 26.83/18.13 tff(25900,plain,
% 26.83/18.13 (v180(constB150)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25899, 25892])).
% 26.83/18.13 tff(25901,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25902,plain,
% 26.83/18.13 (((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150)) <=> ((~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25903,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150))))),
% 26.83/18.13 inference(monotonicity,[status(thm)],[25902])).
% 26.83/18.13 tff(25904,plain,
% 26.83/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150)))),
% 26.83/18.13 inference(transitivity,[status(thm)],[25903, 25901])).
% 26.83/18.13 tff(25905,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB149, constB150)) | (~v180(constB150)) | v179(constB150))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25906,plain,
% 26.83/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB149, constB150)) | v179(constB150) | (~v180(constB150))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25905, 25904])).
% 26.83/18.13 tff(25907,plain,
% 26.83/18.13 (v179(constB150) | (~v180(constB150))),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25906, 19403, 18437])).
% 26.83/18.13 tff(25908,plain,
% 26.83/18.13 (v179(constB150)),
% 26.83/18.13 inference(unit_resolution,[status(thm)],[25907, 25900])).
% 26.83/18.13 tff(25909,plain,
% 26.83/18.13 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB150) | (~v159(constB150)) | (~v179(constB150)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB150) | (~v159(constB150)) | (~v179(constB150)))),
% 26.83/18.13 inference(rewrite,[status(thm)],[])).
% 26.83/18.13 tff(25910,plain,
% 26.83/18.13 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB150) | (~v159(constB150)) | (~v179(constB150)))),
% 26.83/18.13 inference(quant_inst,[status(thm)],[])).
% 26.83/18.13 tff(25911,plain,
% 26.83/18.13 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB150) | (~v159(constB150)) | (~v179(constB150))),
% 26.83/18.13 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 26.83/18.13 tff(25912,plain,
% 26.83/18.13 (v186(constB150) | (~v159(constB150))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25911, 19421, 25908])).
% 26.87/18.13 tff(25913,plain,
% 26.87/18.13 (~v159(constB150)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25912, 25884])).
% 26.87/18.13 tff(25914,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25915,plain,
% 26.87/18.13 (((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151))) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25916,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151))))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[25915])).
% 26.87/18.13 tff(25917,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151)))),
% 26.87/18.13 inference(transitivity,[status(thm)],[25916, 25914])).
% 26.87/18.13 tff(25918,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v1(constB151) | (~v180(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25919,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v180(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25918, 25917])).
% 26.87/18.13 tff(25920,plain,
% 26.87/18.13 (~v180(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25919, 19439, 18571, 18568])).
% 26.87/18.13 tff(25921,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25922,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25923,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB150, constB151)) | v180(constB151) | (~v179(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25922, 25921])).
% 26.87/18.13 tff(25924,plain,
% 26.87/18.13 (v180(constB151) | (~v179(constB151))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25923, 19456, 18571])).
% 26.87/18.13 tff(25925,plain,
% 26.87/18.13 (~v179(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25924, 25920])).
% 26.87/18.13 tff(25926,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25927,plain,
% 26.87/18.13 (((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151))) <=> (v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25928,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151))))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[25927])).
% 26.87/18.13 tff(25929,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151)))),
% 26.87/18.13 inference(transitivity,[status(thm)],[25928, 25926])).
% 26.87/18.13 tff(25930,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB150, constB151)) | v179(constB151) | v159(constB150) | (~v159(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25931,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB150) | (~nextState(constB150, constB151)) | v179(constB151) | (~v159(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25930, 25929])).
% 26.87/18.13 tff(25932,plain,
% 26.87/18.13 (v159(constB150) | v179(constB151) | (~v159(constB151))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25931, 19471, 18571])).
% 26.87/18.13 tff(25933,plain,
% 26.87/18.13 (v159(constB150) | (~v159(constB151))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25932, 25925])).
% 26.87/18.13 tff(25934,plain,
% 26.87/18.13 (~v159(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25933, 25913])).
% 26.87/18.13 tff(25935,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB151) | (~v201(constB151)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB151) | (~v201(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25936,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB151) | (~v201(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25937,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB151) | (~v201(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 26.87/18.13 tff(25938,plain,
% 26.87/18.13 (~v201(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25937, 19490, 25934])).
% 26.87/18.13 tff(25939,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB151) | (~v200(constB151)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB151) | (~v200(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25940,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB151) | (~v200(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25941,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB151) | (~v200(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25940, 25939])).
% 26.87/18.13 tff(25942,plain,
% 26.87/18.13 (~v200(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25941, 8143, 25938])).
% 26.87/18.13 tff(25943,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB151) | (~v198(constB151)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB151) | (~v198(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25944,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB151) | (~v198(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25945,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB151) | (~v198(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 26.87/18.13 tff(25946,plain,
% 26.87/18.13 (~v198(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25945, 8157, 25942])).
% 26.87/18.13 tff(25947,assumption,(v18(constB152)), introduced(assumption)).
% 26.87/18.13 tff(25948,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB152))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25949,plain,
% 26.87/18.13 ($false),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25948, 8, 25947])).
% 26.87/18.13 tff(25950,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.13 tff(25951,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25952,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25953,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 26.87/18.13 tff(25954,plain,
% 26.87/18.13 (v22(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25953, 24, 18711])).
% 26.87/18.13 tff(25955,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25956,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25957,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25956, 25955])).
% 26.87/18.13 tff(25958,plain,
% 26.87/18.13 (v18(constB152) | (~v19(constB152))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25957, 38, 25954])).
% 26.87/18.13 tff(25959,plain,
% 26.87/18.13 (~v19(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25958, 25950])).
% 26.87/18.13 tff(25960,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25961,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25962,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25961, 25960])).
% 26.87/18.13 tff(25963,plain,
% 26.87/18.13 (v13(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25962, 50, 25959])).
% 26.87/18.13 tff(25964,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25965,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25966,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25965, 25964])).
% 26.87/18.13 tff(25967,plain,
% 26.87/18.13 (v9(constB151) | (~v13(constB152))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25966, 67, 18688])).
% 26.87/18.13 tff(25968,plain,
% 26.87/18.13 (v9(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25967, 25963])).
% 26.87/18.13 tff(25969,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v197(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB151) | (~v9(constB151)) | v197(constB151))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25970,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v197(constB151))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25971,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB151) | (~v9(constB151)) | v197(constB151)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25970, 25969])).
% 26.87/18.13 tff(25972,plain,
% 26.87/18.13 ((~v9(constB151)) | v197(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25971, 85, 18568])).
% 26.87/18.13 tff(25973,plain,
% 26.87/18.13 (v197(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25972, 25968])).
% 26.87/18.13 tff(25974,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB151) | (~v197(constB151)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB151) | (~v197(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25975,plain,
% 26.87/18.13 (((~v197(constB151)) | v196(constB151)) <=> (v196(constB151) | (~v197(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25976,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB151)) | v196(constB151))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB151) | (~v197(constB151))))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[25975])).
% 26.87/18.13 tff(25977,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB151)) | v196(constB151))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB151) | (~v197(constB151)))),
% 26.87/18.13 inference(transitivity,[status(thm)],[25976, 25974])).
% 26.87/18.13 tff(25978,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB151)) | v196(constB151))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25979,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB151) | (~v197(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25978, 25977])).
% 26.87/18.13 tff(25980,plain,
% 26.87/18.13 (v196(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25979, 97, 25973])).
% 26.87/18.13 tff(25981,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB151)) | (~v196(constB151)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB151)) | (~v196(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25982,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB151)) | (~v196(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25983,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB151)) | (~v196(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25982, 25981])).
% 26.87/18.13 tff(25984,plain,
% 26.87/18.13 (~v194(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25983, 108, 25980])).
% 26.87/18.13 tff(25985,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB151) | v198(constB151) | (~v191(constB151)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB151) | v198(constB151) | (~v191(constB151)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25986,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB151) | v198(constB151) | (~v191(constB151)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25987,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB151) | v198(constB151) | (~v191(constB151))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25986, 25985])).
% 26.87/18.13 tff(25988,plain,
% 26.87/18.13 (v198(constB151) | (~v191(constB151))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25987, 8171, 25984])).
% 26.87/18.13 tff(25989,plain,
% 26.87/18.13 (~v191(constB151)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25988, 25946])).
% 26.87/18.13 tff(25990,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25991,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25992,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB151, constB152)) | v191(constB151) | (~v193(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 26.87/18.13 tff(25993,plain,
% 26.87/18.13 (v191(constB151) | (~v193(constB152))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25992, 8186, 18688])).
% 26.87/18.13 tff(25994,plain,
% 26.87/18.13 (~v193(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25993, 25989])).
% 26.87/18.13 tff(25995,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB152) | (~v194(constB152)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB152) | (~v194(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(25996,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB152) | (~v194(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(25997,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB152) | (~v194(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 26.87/18.13 tff(25998,plain,
% 26.87/18.13 (~v194(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[25997, 8201, 25994])).
% 26.87/18.13 tff(25999,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB152)) | (~v197(constB152)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB152)) | (~v197(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26000,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB152)) | (~v197(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(26001,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB152)) | (~v197(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[26000, 25999])).
% 26.87/18.13 tff(26002,plain,
% 26.87/18.13 (~v197(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26001, 8215, 18711])).
% 26.87/18.13 tff(26003,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB152) | (~v200(constB152)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB152) | (~v200(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26004,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB152) | (~v200(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(26005,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB152) | (~v200(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 26.87/18.13 tff(26006,plain,
% 26.87/18.13 (~v200(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26005, 8229, 26002])).
% 26.87/18.13 tff(26007,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB152) | (~v198(constB152)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB152) | (~v198(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26008,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB152) | (~v198(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(26009,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB152) | (~v198(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[26008, 26007])).
% 26.87/18.13 tff(26010,plain,
% 26.87/18.13 (~v198(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26009, 8157, 26006])).
% 26.87/18.13 tff(26011,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB152) | v198(constB152) | (~v191(constB152)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB152) | v198(constB152) | (~v191(constB152)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26012,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB152) | v198(constB152) | (~v191(constB152)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(26013,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB152) | v198(constB152) | (~v191(constB152))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[26012, 26011])).
% 26.87/18.13 tff(26014,plain,
% 26.87/18.13 (v194(constB152) | (~v191(constB152))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26013, 8171, 26010])).
% 26.87/18.13 tff(26015,plain,
% 26.87/18.13 (~v191(constB152)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26014, 25998])).
% 26.87/18.13 tff(26016,plain,
% 26.87/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26017,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(26018,plain,
% 26.87/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB152, constB153)) | v191(constB152) | (~v193(constB153))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 26.87/18.13 tff(26019,plain,
% 26.87/18.13 (v191(constB152) | (~v193(constB153))),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26018, 8186, 18760])).
% 26.87/18.13 tff(26020,plain,
% 26.87/18.13 (~v193(constB153)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26019, 26015])).
% 26.87/18.13 tff(26021,plain,
% 26.87/18.13 ($false),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26020, 25834])).
% 26.87/18.13 tff(26022,plain,(~(constB153 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.13 tff(26023,assumption,(constB36 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.13 tff(26024,plain,
% 26.87/18.13 (v1(constB36) <=> v1(sK0_VarCurr)),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26023])).
% 26.87/18.13 tff(26025,plain,
% 26.87/18.13 (v1(sK0_VarCurr) <=> v1(constB36)),
% 26.87/18.13 inference(symmetry,[status(thm)],[26024])).
% 26.87/18.13 tff(26026,plain,
% 26.87/18.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB36))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26025])).
% 26.87/18.13 tff(26027,plain,
% 26.87/18.13 (~v1(constB36)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25165, 26026])).
% 26.87/18.13 tff(26028,plain,
% 26.87/18.13 ($false),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[5134, 26027])).
% 26.87/18.13 tff(26029,plain,(~(constB36 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.13 tff(26030,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.13 tff(26031,plain,
% 26.87/18.13 (v1(constB76) <=> v1(sK0_VarCurr)),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26030])).
% 26.87/18.13 tff(26032,plain,
% 26.87/18.13 (v1(sK0_VarCurr) <=> v1(constB76)),
% 26.87/18.13 inference(symmetry,[status(thm)],[26031])).
% 26.87/18.13 tff(26033,plain,
% 26.87/18.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26032])).
% 26.87/18.13 tff(26034,plain,
% 26.87/18.13 (~v1(constB76)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25165, 26033])).
% 26.87/18.13 tff(26035,plain,
% 26.87/18.13 ($false),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[9997, 26034])).
% 26.87/18.13 tff(26036,plain,(~(constB76 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.13 tff(26037,assumption,(constB44 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.13 tff(26038,plain,
% 26.87/18.13 (v1(constB44) <=> v1(sK0_VarCurr)),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26037])).
% 26.87/18.13 tff(26039,plain,
% 26.87/18.13 (v1(sK0_VarCurr) <=> v1(constB44)),
% 26.87/18.13 inference(symmetry,[status(thm)],[26038])).
% 26.87/18.13 tff(26040,plain,
% 26.87/18.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB44))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26039])).
% 26.87/18.13 tff(26041,plain,
% 26.87/18.13 (~v1(constB44)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25165, 26040])).
% 26.87/18.13 tff(26042,plain,
% 26.87/18.13 ($false),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[6109, 26041])).
% 26.87/18.13 tff(26043,plain,(~(constB44 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.13 tff(26044,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.13 tff(26045,plain,
% 26.87/18.13 (v1(constB2) <=> v1(sK0_VarCurr)),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26044])).
% 26.87/18.13 tff(26046,plain,
% 26.87/18.13 (v1(sK0_VarCurr) <=> v1(constB2)),
% 26.87/18.13 inference(symmetry,[status(thm)],[26045])).
% 26.87/18.13 tff(26047,plain,
% 26.87/18.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26046])).
% 26.87/18.13 tff(26048,plain,
% 26.87/18.13 (~v1(constB2)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[25165, 26047])).
% 26.87/18.13 tff(26049,plain,
% 26.87/18.13 ($false),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[607, 26048])).
% 26.87/18.13 tff(26050,plain,(~(constB2 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.13 tff(26051,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.13 tff(26052,plain,
% 26.87/18.13 (v193(constB87) <=> v193(sK0_VarCurr)),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26051])).
% 26.87/18.13 tff(26053,plain,
% 26.87/18.13 (v193(sK0_VarCurr) <=> v193(constB87)),
% 26.87/18.13 inference(symmetry,[status(thm)],[26052])).
% 26.87/18.13 tff(26054,plain,
% 26.87/18.13 (v193(constB87)),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[8270, 26053])).
% 26.87/18.13 tff(26055,plain,
% 26.87/18.13 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85)))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26056,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB85)) | (~v170(constB85)))),
% 26.87/18.13 inference(quant_inst,[status(thm)],[])).
% 26.87/18.13 tff(26057,plain,
% 26.87/18.13 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB85)) | (~v170(constB85))),
% 26.87/18.13 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 26.87/18.13 tff(26058,plain,
% 26.87/18.13 (~v170(constB85)),
% 26.87/18.13 inference(unit_resolution,[status(thm)],[26057, 8084, 23515])).
% 26.87/18.13 tff(26059,plain,
% 26.87/18.13 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26060,plain,
% 26.87/18.13 (((~v166(constB85)) | v170(constB85) | (~v163(constB85))) <=> ((~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 26.87/18.13 inference(rewrite,[status(thm)],[])).
% 26.87/18.13 tff(26061,plain,
% 26.87/18.13 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB85)) | (~v166(constB85)) | v170(constB85)))),
% 26.87/18.13 inference(monotonicity,[status(thm)],[26060])).
% 26.87/18.13 tff(26062,plain,
% 26.87/18.13 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26061, 26059])).
% 26.87/18.14 tff(26063,plain,
% 26.87/18.14 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB85)) | v170(constB85) | (~v163(constB85)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26064,plain,
% 26.87/18.14 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB85)) | (~v166(constB85)) | v170(constB85)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26063, 26062])).
% 26.87/18.14 tff(26065,plain,
% 26.87/18.14 (~v163(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26064, 8112, 23519, 26058])).
% 26.87/18.14 tff(26066,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB85) | (~v201(constB85)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB85) | (~v201(constB85)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26067,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB85) | (~v201(constB85)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26068,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB85) | (~v201(constB85))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26067, 26066])).
% 26.87/18.14 tff(26069,plain,
% 26.87/18.14 (~v201(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26068, 8129, 26065])).
% 26.87/18.14 tff(26070,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB85) | (~v200(constB85)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB85) | (~v200(constB85)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26071,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB85) | (~v200(constB85)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26072,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB85) | (~v200(constB85))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26071, 26070])).
% 26.87/18.14 tff(26073,plain,
% 26.87/18.14 (~v200(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26072, 8143, 26069])).
% 26.87/18.14 tff(26074,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB85) | (~v198(constB85)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB85) | (~v198(constB85)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26075,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB85) | (~v198(constB85)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26076,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB85) | (~v198(constB85))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 26.87/18.14 tff(26077,plain,
% 26.87/18.14 (~v198(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26076, 8157, 26073])).
% 26.87/18.14 tff(26078,assumption,(v18(constB86)), introduced(assumption)).
% 26.87/18.14 tff(26079,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB86))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26080,plain,
% 26.87/18.14 ($false),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26079, 8, 26078])).
% 26.87/18.14 tff(26081,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.14 tff(26082,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26083,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26084,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26083, 26082])).
% 26.87/18.14 tff(26085,plain,
% 26.87/18.14 (v22(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26084, 24, 11057])).
% 26.87/18.14 tff(26086,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26087,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26088,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26087, 26086])).
% 26.87/18.14 tff(26089,plain,
% 26.87/18.14 (v18(constB86) | (~v19(constB86))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26088, 38, 26085])).
% 26.87/18.14 tff(26090,plain,
% 26.87/18.14 (~v19(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26089, 26081])).
% 26.87/18.14 tff(26091,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26092,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26093,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26092, 26091])).
% 26.87/18.14 tff(26094,plain,
% 26.87/18.14 (v13(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26093, 50, 26090])).
% 26.87/18.14 tff(26095,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26096,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26097,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 26.87/18.14 tff(26098,plain,
% 26.87/18.14 (v9(constB85) | (~v13(constB86))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26097, 67, 11034])).
% 26.87/18.14 tff(26099,plain,
% 26.87/18.14 (v9(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26098, 26094])).
% 26.87/18.14 tff(26100,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v197(constB85))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB85) | (~v9(constB85)) | v197(constB85))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26101,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v197(constB85))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26102,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB85) | (~v9(constB85)) | v197(constB85)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26101, 26100])).
% 26.87/18.14 tff(26103,plain,
% 26.87/18.14 ((~v9(constB85)) | v197(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26102, 85, 10915])).
% 26.87/18.14 tff(26104,plain,
% 26.87/18.14 (v197(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26103, 26099])).
% 26.87/18.14 tff(26105,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB85)) | v196(constB85))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB85)) | v196(constB85))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26106,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB85)) | v196(constB85))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26107,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB85)) | v196(constB85)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 26.87/18.14 tff(26108,plain,
% 26.87/18.14 (v196(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26107, 97, 26104])).
% 26.87/18.14 tff(26109,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB85)) | (~v196(constB85)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB85)) | (~v196(constB85)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26110,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB85)) | (~v196(constB85)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26111,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB85)) | (~v196(constB85))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 26.87/18.14 tff(26112,plain,
% 26.87/18.14 (~v194(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26111, 108, 26108])).
% 26.87/18.14 tff(26113,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB85) | v198(constB85) | (~v191(constB85)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB85) | v198(constB85) | (~v191(constB85)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26114,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB85) | v198(constB85) | (~v191(constB85)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26115,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB85) | v198(constB85) | (~v191(constB85))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 26.87/18.14 tff(26116,plain,
% 26.87/18.14 (v198(constB85) | (~v191(constB85))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26115, 8171, 26112])).
% 26.87/18.14 tff(26117,plain,
% 26.87/18.14 (~v191(constB85)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26116, 26077])).
% 26.87/18.14 tff(26118,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26119,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26120,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB85, constB86)) | v191(constB85) | (~v193(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 26.87/18.14 tff(26121,plain,
% 26.87/18.14 (v191(constB85) | (~v193(constB86))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26120, 8186, 11034])).
% 26.87/18.14 tff(26122,plain,
% 26.87/18.14 (~v193(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26121, 26117])).
% 26.87/18.14 tff(26123,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB86) | (~v194(constB86)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB86) | (~v194(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26124,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB86) | (~v194(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26125,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB86) | (~v194(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26124, 26123])).
% 26.87/18.14 tff(26126,plain,
% 26.87/18.14 (~v194(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26125, 8201, 26122])).
% 26.87/18.14 tff(26127,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB86)) | (~v197(constB86)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB86)) | (~v197(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26128,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB86)) | (~v197(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26129,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB86)) | (~v197(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26128, 26127])).
% 26.87/18.14 tff(26130,plain,
% 26.87/18.14 (~v197(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26129, 8215, 11057])).
% 26.87/18.14 tff(26131,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB86) | (~v200(constB86)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB86) | (~v200(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26132,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB86) | (~v200(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26133,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB86) | (~v200(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 26.87/18.14 tff(26134,plain,
% 26.87/18.14 (~v200(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26133, 8229, 26130])).
% 26.87/18.14 tff(26135,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB86) | (~v198(constB86)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB86) | (~v198(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26136,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB86) | (~v198(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26137,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB86) | (~v198(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 26.87/18.14 tff(26138,plain,
% 26.87/18.14 (~v198(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26137, 8157, 26134])).
% 26.87/18.14 tff(26139,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB86) | v198(constB86) | (~v191(constB86)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB86) | v198(constB86) | (~v191(constB86)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26140,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB86) | v198(constB86) | (~v191(constB86)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26141,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB86) | v198(constB86) | (~v191(constB86))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 26.87/18.14 tff(26142,plain,
% 26.87/18.14 (v194(constB86) | (~v191(constB86))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26141, 8171, 26138])).
% 26.87/18.14 tff(26143,plain,
% 26.87/18.14 (~v191(constB86)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26142, 26126])).
% 26.87/18.14 tff(26144,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26145,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26146,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB86, constB87)) | v191(constB86) | (~v193(constB87))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26145, 26144])).
% 26.87/18.14 tff(26147,plain,
% 26.87/18.14 (v191(constB86) | (~v193(constB87))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26146, 8186, 11126])).
% 26.87/18.14 tff(26148,plain,
% 26.87/18.14 (~v193(constB87)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26147, 26143])).
% 26.87/18.14 tff(26149,plain,
% 26.87/18.14 ($false),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26148, 26054])).
% 26.87/18.14 tff(26150,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.14 tff(26151,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.14 tff(26152,plain,
% 26.87/18.14 (v1(constB20) <=> v1(sK0_VarCurr)),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26151])).
% 26.87/18.14 tff(26153,plain,
% 26.87/18.14 (v1(sK0_VarCurr) <=> v1(constB20)),
% 26.87/18.14 inference(symmetry,[status(thm)],[26152])).
% 26.87/18.14 tff(26154,plain,
% 26.87/18.14 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26153])).
% 26.87/18.14 tff(26155,plain,
% 26.87/18.14 (~v1(constB20)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[25165, 26154])).
% 26.87/18.14 tff(26156,plain,
% 26.87/18.14 ($false),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[2979, 26155])).
% 26.87/18.14 tff(26157,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.14 tff(26158,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.14 tff(26159,plain,
% 26.87/18.14 (v193(constB9) <=> v193(sK0_VarCurr)),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26158])).
% 26.87/18.14 tff(26160,plain,
% 26.87/18.14 (v193(sK0_VarCurr) <=> v193(constB9)),
% 26.87/18.14 inference(symmetry,[status(thm)],[26159])).
% 26.87/18.14 tff(26161,plain,
% 26.87/18.14 (v193(constB9)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[8270, 26160])).
% 26.87/18.14 tff(26162,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26163,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26164,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26163, 26162])).
% 26.87/18.14 tff(26165,plain,
% 26.87/18.14 (~v88(constB5, bitIndex2)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26164, 25366, 1054])).
% 26.87/18.14 tff(26166,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26167,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26168,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26167, 26166])).
% 26.87/18.14 tff(26169,plain,
% 26.87/18.14 (~v88(constB5, bitIndex0)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26168, 7950, 1203])).
% 26.87/18.14 tff(26170,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26171,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26172,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB5, bitIndex1)) | v88(constB5, bitIndex1)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26171, 26170])).
% 26.87/18.14 tff(26173,plain,
% 26.87/18.14 (v88(constB5, bitIndex1)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26172, 8034, 1132])).
% 26.87/18.14 tff(26174,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26175,plain,
% 26.87/18.14 ((v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5)) <=> (v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26176,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1))))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26175])).
% 26.87/18.14 tff(26177,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26176, 26174])).
% 26.87/18.14 tff(26178,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex0) | v143(constB5))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26179,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v143(constB5) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26178, 26177])).
% 26.87/18.14 tff(26180,plain,
% 26.87/18.14 (v143(constB5)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26179, 23093, 26173, 26169, 26165])).
% 26.87/18.14 tff(26181,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB5) | (~v143(constB5)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB5) | (~v143(constB5)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26182,plain,
% 26.87/18.14 (((~v143(constB5)) | v142(constB5)) <=> (v142(constB5) | (~v143(constB5)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26183,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB5) | (~v143(constB5))))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26182])).
% 26.87/18.14 tff(26184,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB5) | (~v143(constB5)))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26183, 26181])).
% 26.87/18.14 tff(26185,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26186,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB5) | (~v143(constB5))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26185, 26184])).
% 26.87/18.14 tff(26187,plain,
% 26.87/18.14 (v142(constB5)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26186, 23075, 26180])).
% 26.87/18.14 tff(26188,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB5) | (~v142(constB5)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26189,plain,
% 26.87/18.14 (((~v142(constB5)) | v167(constB5)) <=> (v167(constB5) | (~v142(constB5)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26190,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB5)) | v167(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB5) | (~v142(constB5))))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26189])).
% 26.87/18.14 tff(26191,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB5)) | v167(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB5) | (~v142(constB5)))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26190, 26188])).
% 26.87/18.14 tff(26192,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB5)) | v167(constB5))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26193,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB5) | (~v142(constB5))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26192, 26191])).
% 26.87/18.14 tff(26194,plain,
% 26.87/18.14 (v167(constB5)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26193, 8073, 26187])).
% 26.87/18.14 tff(26195,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB5)) | (~v170(constB5)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26196,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB5)) | (~v170(constB5)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26197,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB5)) | (~v170(constB5))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26196, 26195])).
% 26.87/18.14 tff(26198,plain,
% 26.87/18.14 (~v170(constB5)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26197, 8084, 26194])).
% 26.87/18.14 tff(26199,plain,
% 26.87/18.14 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26200,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB5) | (~v167(constB5)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26201,plain,
% 26.87/18.14 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB5) | (~v167(constB5))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26200, 26199])).
% 26.87/18.14 tff(26202,plain,
% 26.87/18.14 (v166(constB5)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26201, 8098, 26194])).
% 26.87/18.14 tff(26203,plain,
% 26.87/18.14 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26204,plain,
% 26.87/18.14 (((~v166(constB5)) | v170(constB5) | (~v163(constB5))) <=> ((~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26205,plain,
% 26.87/18.14 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB5)) | (~v166(constB5)) | v170(constB5)))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26204])).
% 26.87/18.14 tff(26206,plain,
% 26.87/18.14 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26205, 26203])).
% 26.87/18.14 tff(26207,plain,
% 26.87/18.14 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB5)) | v170(constB5) | (~v163(constB5)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26208,plain,
% 26.87/18.14 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB5)) | (~v166(constB5)) | v170(constB5)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 26.87/18.14 tff(26209,plain,
% 26.87/18.14 (~v163(constB5)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26208, 8112, 26202, 26198])).
% 26.87/18.14 tff(26210,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26211,plain,
% 26.87/18.14 (((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6))) <=> (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26212,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6))))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26211])).
% 26.87/18.14 tff(26213,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6)))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26212, 26210])).
% 26.87/18.14 tff(26214,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB5, constB6)) | v163(constB5) | (~v186(constB6)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26215,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB5) | (~nextState(constB5, constB6)) | (~v186(constB6))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26214, 26213])).
% 26.87/18.14 tff(26216,plain,
% 26.87/18.14 (v163(constB5) | (~v186(constB6))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26215, 19345, 1278])).
% 26.87/18.14 tff(26217,plain,
% 26.87/18.14 (~v186(constB6)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26216, 26209])).
% 26.87/18.14 tff(26218,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26219,plain,
% 26.87/18.14 (((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6)) <=> ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26220,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v181(constB6) | v104(constB6)))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26219])).
% 26.87/18.14 tff(26221,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26220, 26218])).
% 26.87/18.14 tff(26222,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | v181(constB6))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26223,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB5, constB6)) | v181(constB6) | v104(constB6)),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26222, 26221])).
% 26.87/18.14 tff(26224,plain,
% 26.87/18.14 (v181(constB6) | v104(constB6)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26223, 19367, 1278])).
% 26.87/18.14 tff(26225,plain,
% 26.87/18.14 (v181(constB6)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26224, 1290])).
% 26.87/18.14 tff(26226,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26227,plain,
% 26.87/18.14 (((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6))) <=> ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 26.87/18.14 inference(rewrite,[status(thm)],[])).
% 26.87/18.14 tff(26228,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6))))),
% 26.87/18.14 inference(monotonicity,[status(thm)],[26227])).
% 26.87/18.14 tff(26229,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6)))),
% 26.87/18.14 inference(transitivity,[status(thm)],[26228, 26226])).
% 26.87/18.14 tff(26230,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB6)) | v180(constB6) | (~v181(constB6)))),
% 26.87/18.14 inference(quant_inst,[status(thm)],[])).
% 26.87/18.14 tff(26231,plain,
% 26.87/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB5, constB6)) | v180(constB6) | (~v1(constB6)) | (~v181(constB6))),
% 26.87/18.14 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 26.87/18.14 tff(26232,plain,
% 26.87/18.14 (v180(constB6) | (~v181(constB6))),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26231, 19385, 1278, 1301])).
% 26.87/18.14 tff(26233,plain,
% 26.87/18.14 (v180(constB6)),
% 26.87/18.14 inference(unit_resolution,[status(thm)],[26232, 26225])).
% 26.87/18.14 tff(26234,plain,
% 26.87/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26235,plain,
% 26.87/18.15 (((~nextState(constB5, constB6)) | (~v180(constB6)) | v179(constB6)) <=> ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26236,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB5, constB6)) | (~v180(constB6)) | v179(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26235])).
% 26.87/18.15 tff(26237,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB5, constB6)) | (~v180(constB6)) | v179(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26236, 26234])).
% 26.87/18.15 tff(26238,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB5, constB6)) | (~v180(constB6)) | v179(constB6))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26239,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB5, constB6)) | v179(constB6) | (~v180(constB6))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 26.87/18.15 tff(26240,plain,
% 26.87/18.15 (v179(constB6) | (~v180(constB6))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26239, 19403, 1278])).
% 26.87/18.15 tff(26241,plain,
% 26.87/18.15 (v179(constB6)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26240, 26233])).
% 26.87/18.15 tff(26242,plain,
% 26.87/18.15 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB6) | (~v159(constB6)) | (~v179(constB6)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB6) | (~v159(constB6)) | (~v179(constB6)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26243,plain,
% 26.87/18.15 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB6) | (~v159(constB6)) | (~v179(constB6)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26244,plain,
% 26.87/18.15 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB6) | (~v159(constB6)) | (~v179(constB6))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 26.87/18.15 tff(26245,plain,
% 26.87/18.15 (v186(constB6) | (~v159(constB6))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26244, 19421, 26241])).
% 26.87/18.15 tff(26246,plain,
% 26.87/18.15 (~v159(constB6)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26245, 26217])).
% 26.87/18.15 tff(26247,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26248,plain,
% 26.87/18.15 (((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7))) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26249,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26248])).
% 26.87/18.15 tff(26250,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26249, 26247])).
% 26.87/18.15 tff(26251,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB7) | (~v180(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26252,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v180(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26251, 26250])).
% 26.87/18.15 tff(26253,plain,
% 26.87/18.15 (~v180(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26252, 19439, 138, 187])).
% 26.87/18.15 tff(26254,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26255,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26256,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB6, constB7)) | v180(constB7) | (~v179(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26255, 26254])).
% 26.87/18.15 tff(26257,plain,
% 26.87/18.15 (v180(constB7) | (~v179(constB7))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26256, 19456, 138])).
% 26.87/18.15 tff(26258,plain,
% 26.87/18.15 (~v179(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26257, 26253])).
% 26.87/18.15 tff(26259,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26260,plain,
% 26.87/18.15 (((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7))) <=> (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26261,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26260])).
% 26.87/18.15 tff(26262,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26261, 26259])).
% 26.87/18.15 tff(26263,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB6, constB7)) | v179(constB7) | v159(constB6) | (~v159(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26264,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB6) | (~nextState(constB6, constB7)) | v179(constB7) | (~v159(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 26.87/18.15 tff(26265,plain,
% 26.87/18.15 (v159(constB6) | v179(constB7) | (~v159(constB7))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26264, 19471, 138])).
% 26.87/18.15 tff(26266,plain,
% 26.87/18.15 (v159(constB6) | (~v159(constB7))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26265, 26258])).
% 26.87/18.15 tff(26267,plain,
% 26.87/18.15 (~v159(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26266, 26246])).
% 26.87/18.15 tff(26268,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB7) | (~v201(constB7)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB7) | (~v201(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26269,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB7) | (~v201(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26270,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB7) | (~v201(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 26.87/18.15 tff(26271,plain,
% 26.87/18.15 (~v201(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26270, 19490, 26267])).
% 26.87/18.15 tff(26272,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | (~v200(constB7)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | (~v200(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26273,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB7) | (~v200(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26274,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB7) | (~v200(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 26.87/18.15 tff(26275,plain,
% 26.87/18.15 (~v200(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26274, 8143, 26271])).
% 26.87/18.15 tff(26276,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB7) | (~v198(constB7)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB7) | (~v198(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26277,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB7) | (~v198(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26278,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB7) | (~v198(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26277, 26276])).
% 26.87/18.15 tff(26279,plain,
% 26.87/18.15 (~v198(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26278, 8157, 26275])).
% 26.87/18.15 tff(26280,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v197(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB7) | (~v9(constB7)) | v197(constB7))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26281,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v197(constB7))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26282,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB7) | (~v9(constB7)) | v197(constB7)),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 26.87/18.15 tff(26283,plain,
% 26.87/18.15 ((~v9(constB7)) | v197(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26282, 85, 187])).
% 26.87/18.15 tff(26284,plain,
% 26.87/18.15 (v197(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26283, 184])).
% 26.87/18.15 tff(26285,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB7) | (~v197(constB7)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB7) | (~v197(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26286,plain,
% 26.87/18.15 (((~v197(constB7)) | v196(constB7)) <=> (v196(constB7) | (~v197(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26287,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB7)) | v196(constB7))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB7) | (~v197(constB7))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26286])).
% 26.87/18.15 tff(26288,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB7)) | v196(constB7))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB7) | (~v197(constB7)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26287, 26285])).
% 26.87/18.15 tff(26289,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB7)) | v196(constB7))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26290,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB7) | (~v197(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26289, 26288])).
% 26.87/18.15 tff(26291,plain,
% 26.87/18.15 (v196(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26290, 97, 26284])).
% 26.87/18.15 tff(26292,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB7)) | (~v196(constB7)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB7)) | (~v196(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26293,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB7)) | (~v196(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26294,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB7)) | (~v196(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 26.87/18.15 tff(26295,plain,
% 26.87/18.15 (~v194(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26294, 108, 26291])).
% 26.87/18.15 tff(26296,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB7) | v198(constB7) | (~v191(constB7)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB7) | v198(constB7) | (~v191(constB7)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26297,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB7) | v198(constB7) | (~v191(constB7)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26298,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB7) | v198(constB7) | (~v191(constB7))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26297, 26296])).
% 26.87/18.15 tff(26299,plain,
% 26.87/18.15 (v198(constB7) | (~v191(constB7))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26298, 8171, 26295])).
% 26.87/18.15 tff(26300,plain,
% 26.87/18.15 (~v191(constB7)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26299, 26279])).
% 26.87/18.15 tff(26301,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26302,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26303,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB7, constB8)) | v191(constB7) | (~v193(constB8))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26302, 26301])).
% 26.87/18.15 tff(26304,plain,
% 26.87/18.15 (v191(constB7) | (~v193(constB8))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26303, 8186, 179])).
% 26.87/18.15 tff(26305,plain,
% 26.87/18.15 (~v193(constB8)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26304, 26300])).
% 26.87/18.15 tff(26306,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB8) | (~v194(constB8)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB8) | (~v194(constB8)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26307,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB8) | (~v194(constB8)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26308,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB8) | (~v194(constB8))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 26.87/18.15 tff(26309,plain,
% 26.87/18.15 (~v194(constB8)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26308, 8201, 26305])).
% 26.87/18.15 tff(26310,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB8)) | (~v197(constB8)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB8)) | (~v197(constB8)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26311,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB8)) | (~v197(constB8)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26312,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB8)) | (~v197(constB8))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26311, 26310])).
% 26.87/18.15 tff(26313,plain,
% 26.87/18.15 (~v197(constB8)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26312, 8215, 163])).
% 26.87/18.15 tff(26314,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB8) | (~v200(constB8)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB8) | (~v200(constB8)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26315,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB8) | (~v200(constB8)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26316,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB8) | (~v200(constB8))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26315, 26314])).
% 26.87/18.15 tff(26317,plain,
% 26.87/18.15 (~v200(constB8)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26316, 8229, 26313])).
% 26.87/18.15 tff(26318,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB8) | (~v198(constB8)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB8) | (~v198(constB8)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26319,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB8) | (~v198(constB8)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26320,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB8) | (~v198(constB8))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26319, 26318])).
% 26.87/18.15 tff(26321,plain,
% 26.87/18.15 (~v198(constB8)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26320, 8157, 26317])).
% 26.87/18.15 tff(26322,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB8) | v198(constB8) | (~v191(constB8)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB8) | v198(constB8) | (~v191(constB8)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26323,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB8) | v198(constB8) | (~v191(constB8)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26324,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB8) | v198(constB8) | (~v191(constB8))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26323, 26322])).
% 26.87/18.15 tff(26325,plain,
% 26.87/18.15 (v194(constB8) | (~v191(constB8))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26324, 8171, 26321])).
% 26.87/18.15 tff(26326,plain,
% 26.87/18.15 (~v191(constB8)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26325, 26309])).
% 26.87/18.15 tff(26327,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26328,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26329,plain,
% 26.87/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB8, constB9)) | v191(constB8) | (~v193(constB9))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 26.87/18.15 tff(26330,plain,
% 26.87/18.15 (v191(constB8) | (~v193(constB9))),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26329, 8186, 1604])).
% 26.87/18.15 tff(26331,plain,
% 26.87/18.15 (~v193(constB9)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26330, 26326])).
% 26.87/18.15 tff(26332,plain,
% 26.87/18.15 ($false),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26331, 26161])).
% 26.87/18.15 tff(26333,plain,(~(constB9 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.15 tff(26334,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.15 tff(26335,plain,
% 26.87/18.15 (v193(constB191) <=> v193(sK0_VarCurr)),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26334])).
% 26.87/18.15 tff(26336,plain,
% 26.87/18.15 (v193(sK0_VarCurr) <=> v193(constB191)),
% 26.87/18.15 inference(symmetry,[status(thm)],[26335])).
% 26.87/18.15 tff(26337,plain,
% 26.87/18.15 (v193(constB191)),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[8270, 26336])).
% 26.87/18.15 tff(26338,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB187, bitIndex2)) | v90(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB187, bitIndex2)) | v90(constB187, bitIndex2))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26339,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB187, bitIndex2)) | v90(constB187, bitIndex2))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26340,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB187, bitIndex2)) | v90(constB187, bitIndex2)),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26339, 26338])).
% 26.87/18.15 tff(26341,plain,
% 26.87/18.15 (~v88(constB187, bitIndex2)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26340, 25366, 24179])).
% 26.87/18.15 tff(26342,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26343,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26344,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1)),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26343, 26342])).
% 26.87/18.15 tff(26345,plain,
% 26.87/18.15 (v88(constB187, bitIndex1)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26344, 8034, 24210])).
% 26.87/18.15 tff(26346,plain,
% 26.87/18.15 (^[VarCurr: state_type] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 26.87/18.15 inference(bind,[status(th)],[])).
% 26.87/18.15 tff(26347,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 26.87/18.15 inference(quant_intro,[status(thm)],[26346])).
% 26.87/18.15 tff(26348,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26349,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 26.87/18.15 tff(26350,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 26.87/18.15 tff(26351,plain,(
% 26.87/18.15 ![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 26.87/18.15 inference(skolemize,[status(sab)],[26350])).
% 26.87/18.15 tff(26352,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26351, 26347])).
% 26.87/18.15 tff(26353,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26354,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26355,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0)),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26354, 26353])).
% 26.87/18.15 tff(26356,plain,
% 26.87/18.15 (v88(constB187, bitIndex0)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26355, 26352, 24276])).
% 26.87/18.15 tff(26357,plain,
% 26.87/18.15 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 26.87/18.15 inference(bind,[status(th)],[])).
% 26.87/18.15 tff(26358,plain,
% 26.87/18.15 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(quant_intro,[status(thm)],[26357])).
% 26.87/18.15 tff(26359,plain,
% 26.87/18.15 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26360,plain,
% 26.87/18.15 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))), (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))), (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))), ((((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))) | v141(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 26.87/18.15 inference(bind,[status(th)],[])).
% 26.87/18.15 tff(26361,plain,
% 26.87/18.15 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(quant_intro,[status(thm)],[26360])).
% 26.87/18.15 tff(26362,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))) | (~v88(VarCurr, bitIndex1))) | v141(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 26.87/18.15 tff(26363,plain,
% 26.87/18.15 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26362, 26361])).
% 26.87/18.15 tff(26364,plain,
% 26.87/18.15 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26363, 26359])).
% 26.87/18.15 tff(26365,plain,(
% 26.87/18.15 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(skolemize,[status(sab)],[26364])).
% 26.87/18.15 tff(26366,plain,
% 26.87/18.15 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26365, 26358])).
% 26.87/18.15 tff(26367,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | v141(constB187) | (~v88(constB187, bitIndex0)) | (~v88(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB187, bitIndex2) | v141(constB187) | (~v88(constB187, bitIndex0)) | (~v88(constB187, bitIndex1)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26368,plain,
% 26.87/18.15 ((v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187)) <=> (v88(constB187, bitIndex2) | v141(constB187) | (~v88(constB187, bitIndex0)) | (~v88(constB187, bitIndex1)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26369,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | v141(constB187) | (~v88(constB187, bitIndex0)) | (~v88(constB187, bitIndex1))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26368])).
% 26.87/18.15 tff(26370,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB187, bitIndex2) | v141(constB187) | (~v88(constB187, bitIndex0)) | (~v88(constB187, bitIndex1)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26369, 26367])).
% 26.87/18.15 tff(26371,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26372,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB187, bitIndex2) | v141(constB187) | (~v88(constB187, bitIndex0)) | (~v88(constB187, bitIndex1))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26371, 26370])).
% 26.87/18.15 tff(26373,plain,
% 26.87/18.15 (v141(constB187)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26372, 26366, 26356, 26345, 26341])).
% 26.87/18.15 tff(26374,plain,
% 26.87/18.15 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v168(VarCurr)) <=> ((~v141(VarCurr)) | v168(VarCurr)))),
% 26.87/18.15 inference(bind,[status(th)],[])).
% 26.87/18.15 tff(26375,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 26.87/18.15 inference(quant_intro,[status(thm)],[26374])).
% 26.87/18.15 tff(26376,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26377,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_2')).
% 26.87/18.15 tff(26378,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26377, 26376])).
% 26.87/18.15 tff(26379,plain,(
% 26.87/18.15 ![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 26.87/18.15 inference(skolemize,[status(sab)],[26378])).
% 26.87/18.15 tff(26380,plain,
% 26.87/18.15 (![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26379, 26375])).
% 26.87/18.15 tff(26381,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB187) | (~v141(constB187)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26382,plain,
% 26.87/18.15 (((~v141(constB187)) | v168(constB187)) <=> (v168(constB187) | (~v141(constB187)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26383,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB187)) | v168(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB187) | (~v141(constB187))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26382])).
% 26.87/18.15 tff(26384,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB187)) | v168(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB187) | (~v141(constB187)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26383, 26381])).
% 26.87/18.15 tff(26385,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB187)) | v168(constB187))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26386,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB187) | (~v141(constB187))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26385, 26384])).
% 26.87/18.15 tff(26387,plain,
% 26.87/18.15 (v168(constB187)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26386, 26380, 26373])).
% 26.87/18.15 tff(26388,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB187) | (~v168(constB187)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26389,plain,
% 26.87/18.15 (((~v168(constB187)) | v167(constB187)) <=> (v167(constB187) | (~v168(constB187)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26390,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB187)) | v167(constB187))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB187) | (~v168(constB187))))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26389])).
% 26.87/18.15 tff(26391,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB187)) | v167(constB187))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB187) | (~v168(constB187)))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26390, 26388])).
% 26.87/18.15 tff(26392,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB187)) | v167(constB187))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26393,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB187) | (~v168(constB187))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26392, 26391])).
% 26.87/18.15 tff(26394,plain,
% 26.87/18.15 (v167(constB187)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26393, 23043, 26387])).
% 26.87/18.15 tff(26395,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB187)) | (~v170(constB187)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB187)) | (~v170(constB187)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26396,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB187)) | (~v170(constB187)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26397,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB187)) | (~v170(constB187))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 26.87/18.15 tff(26398,plain,
% 26.87/18.15 (~v170(constB187)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26397, 8084, 26394])).
% 26.87/18.15 tff(26399,plain,
% 26.87/18.15 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB187) | (~v167(constB187)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB187) | (~v167(constB187)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26400,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB187) | (~v167(constB187)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26401,plain,
% 26.87/18.15 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB187) | (~v167(constB187))),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26400, 26399])).
% 26.87/18.15 tff(26402,plain,
% 26.87/18.15 (v166(constB187)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26401, 8098, 26394])).
% 26.87/18.15 tff(26403,plain,
% 26.87/18.15 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB187)) | (~v166(constB187)) | v170(constB187))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26404,plain,
% 26.87/18.15 (((~v166(constB187)) | v170(constB187) | (~v163(constB187))) <=> ((~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26405,plain,
% 26.87/18.15 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB187)) | (~v166(constB187)) | v170(constB187)))),
% 26.87/18.15 inference(monotonicity,[status(thm)],[26404])).
% 26.87/18.15 tff(26406,plain,
% 26.87/18.15 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187))),
% 26.87/18.15 inference(transitivity,[status(thm)],[26405, 26403])).
% 26.87/18.15 tff(26407,plain,
% 26.87/18.15 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB187)) | v170(constB187) | (~v163(constB187)))),
% 26.87/18.15 inference(quant_inst,[status(thm)],[])).
% 26.87/18.15 tff(26408,plain,
% 26.87/18.15 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB187)) | (~v166(constB187)) | v170(constB187)),
% 26.87/18.15 inference(modus_ponens,[status(thm)],[26407, 26406])).
% 26.87/18.15 tff(26409,plain,
% 26.87/18.15 (~v163(constB187)),
% 26.87/18.15 inference(unit_resolution,[status(thm)],[26408, 8112, 26402, 26398])).
% 26.87/18.15 tff(26410,plain,
% 26.87/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.15 tff(26411,plain,
% 26.87/18.15 (((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188))) <=> (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 26.87/18.15 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26412,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26411])).
% 26.87/18.16 tff(26413,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26412, 26410])).
% 26.87/18.16 tff(26414,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB187, constB188)) | v163(constB187) | (~v186(constB188)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26415,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB187) | (~nextState(constB187, constB188)) | (~v186(constB188))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26414, 26413])).
% 26.87/18.16 tff(26416,plain,
% 26.87/18.16 (v163(constB187) | (~v186(constB188))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26415, 19345, 24328])).
% 26.87/18.16 tff(26417,plain,
% 26.87/18.16 (~v186(constB188)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26416, 26409])).
% 26.87/18.16 tff(26418,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26419,plain,
% 26.87/18.16 (((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188)) <=> ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26420,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v181(constB188) | v104(constB188)))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26419])).
% 26.87/18.16 tff(26421,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26420, 26418])).
% 26.87/18.16 tff(26422,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | v181(constB188))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26423,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB187, constB188)) | v181(constB188) | v104(constB188)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26422, 26421])).
% 26.87/18.16 tff(26424,plain,
% 26.87/18.16 (v181(constB188) | v104(constB188)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26423, 19367, 24328])).
% 26.87/18.16 tff(26425,plain,
% 26.87/18.16 (v181(constB188)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26424, 24340])).
% 26.87/18.16 tff(26426,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26427,plain,
% 26.87/18.16 (((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188))) <=> ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26428,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26427])).
% 26.87/18.16 tff(26429,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26428, 26426])).
% 26.87/18.16 tff(26430,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB187, constB188)) | (~v1(constB188)) | v180(constB188) | (~v181(constB188)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26431,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB187, constB188)) | v180(constB188) | (~v1(constB188)) | (~v181(constB188))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 26.87/18.16 tff(26432,plain,
% 26.87/18.16 (v180(constB188) | (~v181(constB188))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26431, 19385, 24328, 24351])).
% 26.87/18.16 tff(26433,plain,
% 26.87/18.16 (v180(constB188)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26432, 26425])).
% 26.87/18.16 tff(26434,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26435,plain,
% 26.87/18.16 (((~nextState(constB187, constB188)) | (~v180(constB188)) | v179(constB188)) <=> ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26436,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB187, constB188)) | (~v180(constB188)) | v179(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26435])).
% 26.87/18.16 tff(26437,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB187, constB188)) | (~v180(constB188)) | v179(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26436, 26434])).
% 26.87/18.16 tff(26438,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB187, constB188)) | (~v180(constB188)) | v179(constB188))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26439,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB187, constB188)) | v179(constB188) | (~v180(constB188))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 26.87/18.16 tff(26440,plain,
% 26.87/18.16 (v179(constB188) | (~v180(constB188))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26439, 19403, 24328])).
% 26.87/18.16 tff(26441,plain,
% 26.87/18.16 (v179(constB188)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26440, 26433])).
% 26.87/18.16 tff(26442,plain,
% 26.87/18.16 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB188) | (~v159(constB188)) | (~v179(constB188)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB188) | (~v159(constB188)) | (~v179(constB188)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26443,plain,
% 26.87/18.16 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB188) | (~v159(constB188)) | (~v179(constB188)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26444,plain,
% 26.87/18.16 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB188) | (~v159(constB188)) | (~v179(constB188))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 26.87/18.16 tff(26445,plain,
% 26.87/18.16 (v186(constB188) | (~v159(constB188))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26444, 19421, 26441])).
% 26.87/18.16 tff(26446,plain,
% 26.87/18.16 (~v159(constB188)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26445, 26417])).
% 26.87/18.16 tff(26447,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26448,plain,
% 26.87/18.16 (((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189))) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26449,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26448])).
% 26.87/18.16 tff(26450,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26449, 26447])).
% 26.87/18.16 tff(26451,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v1(constB189) | (~v180(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26452,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v180(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 26.87/18.16 tff(26453,plain,
% 26.87/18.16 (~v180(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26452, 19439, 24396, 24393])).
% 26.87/18.16 tff(26454,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26455,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26456,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB188, constB189)) | v180(constB189) | (~v179(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 26.87/18.16 tff(26457,plain,
% 26.87/18.16 (v180(constB189) | (~v179(constB189))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26456, 19456, 24396])).
% 26.87/18.16 tff(26458,plain,
% 26.87/18.16 (~v179(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26457, 26453])).
% 26.87/18.16 tff(26459,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26460,plain,
% 26.87/18.16 (((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189))) <=> (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26461,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26460])).
% 26.87/18.16 tff(26462,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26461, 26459])).
% 26.87/18.16 tff(26463,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB188, constB189)) | v179(constB189) | v159(constB188) | (~v159(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26464,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB188) | (~nextState(constB188, constB189)) | v179(constB189) | (~v159(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26463, 26462])).
% 26.87/18.16 tff(26465,plain,
% 26.87/18.16 (v159(constB188) | v179(constB189) | (~v159(constB189))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26464, 19471, 24396])).
% 26.87/18.16 tff(26466,plain,
% 26.87/18.16 (v159(constB188) | (~v159(constB189))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26465, 26458])).
% 26.87/18.16 tff(26467,plain,
% 26.87/18.16 (~v159(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26466, 26446])).
% 26.87/18.16 tff(26468,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB189) | (~v201(constB189)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB189) | (~v201(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26469,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB189) | (~v201(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26470,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB189) | (~v201(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 26.87/18.16 tff(26471,plain,
% 26.87/18.16 (~v201(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26470, 19490, 26467])).
% 26.87/18.16 tff(26472,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB189) | (~v200(constB189)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB189) | (~v200(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26473,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB189) | (~v200(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26474,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB189) | (~v200(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 26.87/18.16 tff(26475,plain,
% 26.87/18.16 (~v200(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26474, 8143, 26471])).
% 26.87/18.16 tff(26476,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB189) | (~v198(constB189)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB189) | (~v198(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26477,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB189) | (~v198(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26478,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB189) | (~v198(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 26.87/18.16 tff(26479,plain,
% 26.87/18.16 (~v198(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26478, 8157, 26475])).
% 26.87/18.16 tff(26480,assumption,(v18(constB190)), introduced(assumption)).
% 26.87/18.16 tff(26481,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB190))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26482,plain,
% 26.87/18.16 ($false),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26481, 8, 26480])).
% 26.87/18.16 tff(26483,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.16 tff(26484,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26485,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26486,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26485, 26484])).
% 26.87/18.16 tff(26487,plain,
% 26.87/18.16 (v22(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26486, 24, 24560])).
% 26.87/18.16 tff(26488,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26489,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26490,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26489, 26488])).
% 26.87/18.16 tff(26491,plain,
% 26.87/18.16 (v18(constB190) | (~v19(constB190))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26490, 38, 26487])).
% 26.87/18.16 tff(26492,plain,
% 26.87/18.16 (~v19(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26491, 26483])).
% 26.87/18.16 tff(26493,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26494,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26495,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26494, 26493])).
% 26.87/18.16 tff(26496,plain,
% 26.87/18.16 (v13(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26495, 50, 26492])).
% 26.87/18.16 tff(26497,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26498,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26499,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 26.87/18.16 tff(26500,plain,
% 26.87/18.16 (v9(constB189) | (~v13(constB190))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26499, 67, 24537])).
% 26.87/18.16 tff(26501,plain,
% 26.87/18.16 (v9(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26500, 26496])).
% 26.87/18.16 tff(26502,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v197(constB189))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB189) | (~v9(constB189)) | v197(constB189))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26503,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v197(constB189))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26504,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB189) | (~v9(constB189)) | v197(constB189)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26503, 26502])).
% 26.87/18.16 tff(26505,plain,
% 26.87/18.16 ((~v9(constB189)) | v197(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26504, 85, 24393])).
% 26.87/18.16 tff(26506,plain,
% 26.87/18.16 (v197(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26505, 26501])).
% 26.87/18.16 tff(26507,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB189)) | v196(constB189))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB189)) | v196(constB189))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26508,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB189)) | v196(constB189))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26509,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB189)) | v196(constB189)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26508, 26507])).
% 26.87/18.16 tff(26510,plain,
% 26.87/18.16 (v196(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26509, 97, 26506])).
% 26.87/18.16 tff(26511,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB189)) | (~v196(constB189)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB189)) | (~v196(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26512,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB189)) | (~v196(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26513,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB189)) | (~v196(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 26.87/18.16 tff(26514,plain,
% 26.87/18.16 (~v194(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26513, 108, 26510])).
% 26.87/18.16 tff(26515,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB189) | v198(constB189) | (~v191(constB189)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB189) | v198(constB189) | (~v191(constB189)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26516,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB189) | v198(constB189) | (~v191(constB189)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26517,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB189) | v198(constB189) | (~v191(constB189))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26516, 26515])).
% 26.87/18.16 tff(26518,plain,
% 26.87/18.16 (v198(constB189) | (~v191(constB189))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26517, 8171, 26514])).
% 26.87/18.16 tff(26519,plain,
% 26.87/18.16 (~v191(constB189)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26518, 26479])).
% 26.87/18.16 tff(26520,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26521,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26522,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB189, constB190)) | v191(constB189) | (~v193(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26521, 26520])).
% 26.87/18.16 tff(26523,plain,
% 26.87/18.16 (v191(constB189) | (~v193(constB190))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26522, 8186, 24537])).
% 26.87/18.16 tff(26524,plain,
% 26.87/18.16 (~v193(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26523, 26519])).
% 26.87/18.16 tff(26525,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB190) | (~v194(constB190)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB190) | (~v194(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26526,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB190) | (~v194(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26527,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB190) | (~v194(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26526, 26525])).
% 26.87/18.16 tff(26528,plain,
% 26.87/18.16 (~v194(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26527, 8201, 26524])).
% 26.87/18.16 tff(26529,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB190)) | (~v197(constB190)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB190)) | (~v197(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26530,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB190)) | (~v197(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26531,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB190)) | (~v197(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26530, 26529])).
% 26.87/18.16 tff(26532,plain,
% 26.87/18.16 (~v197(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26531, 8215, 24560])).
% 26.87/18.16 tff(26533,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB190) | (~v200(constB190)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB190) | (~v200(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26534,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB190) | (~v200(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26535,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB190) | (~v200(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26534, 26533])).
% 26.87/18.16 tff(26536,plain,
% 26.87/18.16 (~v200(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26535, 8229, 26532])).
% 26.87/18.16 tff(26537,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB190) | (~v198(constB190)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB190) | (~v198(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26538,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB190) | (~v198(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26539,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB190) | (~v198(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26538, 26537])).
% 26.87/18.16 tff(26540,plain,
% 26.87/18.16 (~v198(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26539, 8157, 26536])).
% 26.87/18.16 tff(26541,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB190) | v198(constB190) | (~v191(constB190)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB190) | v198(constB190) | (~v191(constB190)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26542,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB190) | v198(constB190) | (~v191(constB190)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26543,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB190) | v198(constB190) | (~v191(constB190))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26542, 26541])).
% 26.87/18.16 tff(26544,plain,
% 26.87/18.16 (v194(constB190) | (~v191(constB190))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26543, 8171, 26540])).
% 26.87/18.16 tff(26545,plain,
% 26.87/18.16 (~v191(constB190)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26544, 26528])).
% 26.87/18.16 tff(26546,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26547,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26548,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB190, constB191)) | v191(constB190) | (~v193(constB191))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26547, 26546])).
% 26.87/18.16 tff(26549,plain,
% 26.87/18.16 (v191(constB190) | (~v193(constB191))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26548, 8186, 24605])).
% 26.87/18.16 tff(26550,plain,
% 26.87/18.16 (~v193(constB191)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26549, 26545])).
% 26.87/18.16 tff(26551,plain,
% 26.87/18.16 ($false),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26550, 26337])).
% 26.87/18.16 tff(26552,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.16 tff(26553,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.16 tff(26554,plain,
% 26.87/18.16 (v1(constB10) <=> v1(sK0_VarCurr)),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26553])).
% 26.87/18.16 tff(26555,plain,
% 26.87/18.16 (v1(sK0_VarCurr) <=> v1(constB10)),
% 26.87/18.16 inference(symmetry,[status(thm)],[26554])).
% 26.87/18.16 tff(26556,plain,
% 26.87/18.16 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26555])).
% 26.87/18.16 tff(26557,plain,
% 26.87/18.16 (~v1(constB10)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[25165, 26556])).
% 26.87/18.16 tff(26558,plain,
% 26.87/18.16 ($false),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[1834, 26557])).
% 26.87/18.16 tff(26559,plain,(~(constB10 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.16 tff(26560,assumption,(constB149 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.16 tff(26561,plain,
% 26.87/18.16 (v193(constB149) <=> v193(sK0_VarCurr)),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26560])).
% 26.87/18.16 tff(26562,plain,
% 26.87/18.16 (v193(sK0_VarCurr) <=> v193(constB149)),
% 26.87/18.16 inference(symmetry,[status(thm)],[26561])).
% 26.87/18.16 tff(26563,plain,
% 26.87/18.16 (v193(constB149)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[8270, 26562])).
% 26.87/18.16 tff(26564,plain,
% 26.87/18.16 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB145)) | (~v170(constB145)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26565,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB145)) | (~v170(constB145)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26566,plain,
% 26.87/18.16 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB145)) | (~v170(constB145))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26565, 26564])).
% 26.87/18.16 tff(26567,plain,
% 26.87/18.16 (~v170(constB145)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26566, 8084, 23414])).
% 26.87/18.16 tff(26568,plain,
% 26.87/18.16 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB145)) | (~v166(constB145)) | v170(constB145))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26569,plain,
% 26.87/18.16 (((~v166(constB145)) | v170(constB145) | (~v163(constB145))) <=> ((~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26570,plain,
% 26.87/18.16 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB145)) | (~v166(constB145)) | v170(constB145)))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26569])).
% 26.87/18.16 tff(26571,plain,
% 26.87/18.16 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26570, 26568])).
% 26.87/18.16 tff(26572,plain,
% 26.87/18.16 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB145)) | v170(constB145) | (~v163(constB145)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26573,plain,
% 26.87/18.16 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB145)) | (~v166(constB145)) | v170(constB145)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26572, 26571])).
% 26.87/18.16 tff(26574,plain,
% 26.87/18.16 (~v163(constB145)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26573, 8112, 23418, 26567])).
% 26.87/18.16 tff(26575,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB145) | (~nextState(constB145, constB146)) | (~v186(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB145) | (~nextState(constB145, constB146)) | (~v186(constB146)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26576,plain,
% 26.87/18.16 (((~nextState(constB145, constB146)) | v163(constB145) | (~v186(constB146))) <=> (v163(constB145) | (~nextState(constB145, constB146)) | (~v186(constB146)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26577,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB145, constB146)) | v163(constB145) | (~v186(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB145) | (~nextState(constB145, constB146)) | (~v186(constB146))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26576])).
% 26.87/18.16 tff(26578,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB145, constB146)) | v163(constB145) | (~v186(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB145) | (~nextState(constB145, constB146)) | (~v186(constB146)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26577, 26575])).
% 26.87/18.16 tff(26579,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB145, constB146)) | v163(constB145) | (~v186(constB146)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26580,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB145) | (~nextState(constB145, constB146)) | (~v186(constB146))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26579, 26578])).
% 26.87/18.16 tff(26581,plain,
% 26.87/18.16 (v163(constB145) | (~v186(constB146))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26580, 19345, 18023])).
% 26.87/18.16 tff(26582,plain,
% 26.87/18.16 (~v186(constB146)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26581, 26574])).
% 26.87/18.16 tff(26583,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB145, constB146)) | v181(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB145, constB146)) | v181(constB146) | v104(constB146))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26584,plain,
% 26.87/18.16 (((~nextState(constB145, constB146)) | v104(constB146) | v181(constB146)) <=> ((~nextState(constB145, constB146)) | v181(constB146) | v104(constB146))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26585,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v181(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB145, constB146)) | v181(constB146) | v104(constB146)))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26584])).
% 26.87/18.16 tff(26586,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v181(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB145, constB146)) | v181(constB146) | v104(constB146))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26585, 26583])).
% 26.87/18.16 tff(26587,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | v181(constB146))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26588,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB145, constB146)) | v181(constB146) | v104(constB146)),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26587, 26586])).
% 26.87/18.16 tff(26589,plain,
% 26.87/18.16 (v181(constB146) | v104(constB146)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26588, 19367, 18023])).
% 26.87/18.16 tff(26590,plain,
% 26.87/18.16 (v181(constB146)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26589, 18035])).
% 26.87/18.16 tff(26591,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB145, constB146)) | v180(constB146) | (~v1(constB146)) | (~v181(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB145, constB146)) | v180(constB146) | (~v1(constB146)) | (~v181(constB146)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26592,plain,
% 26.87/18.16 (((~nextState(constB145, constB146)) | (~v1(constB146)) | v180(constB146) | (~v181(constB146))) <=> ((~nextState(constB145, constB146)) | v180(constB146) | (~v1(constB146)) | (~v181(constB146)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26593,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v180(constB146) | (~v181(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB145, constB146)) | v180(constB146) | (~v1(constB146)) | (~v181(constB146))))),
% 26.87/18.16 inference(monotonicity,[status(thm)],[26592])).
% 26.87/18.16 tff(26594,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v180(constB146) | (~v181(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB145, constB146)) | v180(constB146) | (~v1(constB146)) | (~v181(constB146)))),
% 26.87/18.16 inference(transitivity,[status(thm)],[26593, 26591])).
% 26.87/18.16 tff(26595,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB145, constB146)) | (~v1(constB146)) | v180(constB146) | (~v181(constB146)))),
% 26.87/18.16 inference(quant_inst,[status(thm)],[])).
% 26.87/18.16 tff(26596,plain,
% 26.87/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB145, constB146)) | v180(constB146) | (~v1(constB146)) | (~v181(constB146))),
% 26.87/18.16 inference(modus_ponens,[status(thm)],[26595, 26594])).
% 26.87/18.16 tff(26597,plain,
% 26.87/18.16 (v180(constB146) | (~v181(constB146))),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26596, 19385, 18023, 18046])).
% 26.87/18.16 tff(26598,plain,
% 26.87/18.16 (v180(constB146)),
% 26.87/18.16 inference(unit_resolution,[status(thm)],[26597, 26590])).
% 26.87/18.16 tff(26599,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB145, constB146)) | v179(constB146) | (~v180(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB145, constB146)) | v179(constB146) | (~v180(constB146)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26600,plain,
% 26.87/18.16 (((~nextState(constB145, constB146)) | (~v180(constB146)) | v179(constB146)) <=> ((~nextState(constB145, constB146)) | v179(constB146) | (~v180(constB146)))),
% 26.87/18.16 inference(rewrite,[status(thm)],[])).
% 26.87/18.16 tff(26601,plain,
% 26.87/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB145, constB146)) | (~v180(constB146)) | v179(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB145, constB146)) | v179(constB146) | (~v180(constB146))))),
% 26.87/18.17 inference(monotonicity,[status(thm)],[26600])).
% 26.87/18.17 tff(26602,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB145, constB146)) | (~v180(constB146)) | v179(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB145, constB146)) | v179(constB146) | (~v180(constB146)))),
% 26.87/18.17 inference(transitivity,[status(thm)],[26601, 26599])).
% 26.87/18.17 tff(26603,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB145, constB146)) | (~v180(constB146)) | v179(constB146))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26604,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB145, constB146)) | v179(constB146) | (~v180(constB146))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 26.87/18.17 tff(26605,plain,
% 26.87/18.17 (v179(constB146) | (~v180(constB146))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26604, 19403, 18023])).
% 26.87/18.17 tff(26606,plain,
% 26.87/18.17 (v179(constB146)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26605, 26598])).
% 26.87/18.17 tff(26607,plain,
% 26.87/18.17 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB146) | (~v159(constB146)) | (~v179(constB146)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB146) | (~v159(constB146)) | (~v179(constB146)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26608,plain,
% 26.87/18.17 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB146) | (~v159(constB146)) | (~v179(constB146)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26609,plain,
% 26.87/18.17 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB146) | (~v159(constB146)) | (~v179(constB146))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26608, 26607])).
% 26.87/18.17 tff(26610,plain,
% 26.87/18.17 (v186(constB146) | (~v159(constB146))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26609, 19421, 26606])).
% 26.87/18.17 tff(26611,plain,
% 26.87/18.17 (~v159(constB146)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26610, 26582])).
% 26.87/18.17 tff(26612,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v180(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v180(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26613,plain,
% 26.87/18.17 (((~nextState(constB146, constB147)) | v1(constB147) | (~v180(constB147))) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v180(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26614,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v1(constB147) | (~v180(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v180(constB147))))),
% 26.87/18.17 inference(monotonicity,[status(thm)],[26613])).
% 26.87/18.17 tff(26615,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v1(constB147) | (~v180(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v180(constB147)))),
% 26.87/18.17 inference(transitivity,[status(thm)],[26614, 26612])).
% 26.87/18.17 tff(26616,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v1(constB147) | (~v180(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26617,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v180(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26616, 26615])).
% 26.87/18.17 tff(26618,plain,
% 26.87/18.17 (~v180(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26617, 19439, 18115, 18112])).
% 26.87/18.17 tff(26619,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB146, constB147)) | v180(constB147) | (~v179(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB146, constB147)) | v180(constB147) | (~v179(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26620,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB146, constB147)) | v180(constB147) | (~v179(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26621,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB146, constB147)) | v180(constB147) | (~v179(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26620, 26619])).
% 26.87/18.17 tff(26622,plain,
% 26.87/18.17 (v180(constB147) | (~v179(constB147))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26621, 19456, 18115])).
% 26.87/18.17 tff(26623,plain,
% 26.87/18.17 (~v179(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26622, 26618])).
% 26.87/18.17 tff(26624,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB146) | (~nextState(constB146, constB147)) | v179(constB147) | (~v159(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB146) | (~nextState(constB146, constB147)) | v179(constB147) | (~v159(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26625,plain,
% 26.87/18.17 (((~nextState(constB146, constB147)) | v179(constB147) | v159(constB146) | (~v159(constB147))) <=> (v159(constB146) | (~nextState(constB146, constB147)) | v179(constB147) | (~v159(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26626,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB146, constB147)) | v179(constB147) | v159(constB146) | (~v159(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB146) | (~nextState(constB146, constB147)) | v179(constB147) | (~v159(constB147))))),
% 26.87/18.17 inference(monotonicity,[status(thm)],[26625])).
% 26.87/18.17 tff(26627,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB146, constB147)) | v179(constB147) | v159(constB146) | (~v159(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB146) | (~nextState(constB146, constB147)) | v179(constB147) | (~v159(constB147)))),
% 26.87/18.17 inference(transitivity,[status(thm)],[26626, 26624])).
% 26.87/18.17 tff(26628,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB146, constB147)) | v179(constB147) | v159(constB146) | (~v159(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26629,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB146) | (~nextState(constB146, constB147)) | v179(constB147) | (~v159(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 26.87/18.17 tff(26630,plain,
% 26.87/18.17 (v159(constB146) | v179(constB147) | (~v159(constB147))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26629, 19471, 18115])).
% 26.87/18.17 tff(26631,plain,
% 26.87/18.17 (v159(constB146) | (~v159(constB147))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26630, 26623])).
% 26.87/18.17 tff(26632,plain,
% 26.87/18.17 (~v159(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26631, 26611])).
% 26.87/18.17 tff(26633,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB147) | (~v201(constB147)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB147) | (~v201(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26634,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB147) | (~v201(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26635,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB147) | (~v201(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 26.87/18.17 tff(26636,plain,
% 26.87/18.17 (~v201(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26635, 19490, 26632])).
% 26.87/18.17 tff(26637,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB147) | (~v200(constB147)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB147) | (~v200(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26638,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB147) | (~v200(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26639,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB147) | (~v200(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26638, 26637])).
% 26.87/18.17 tff(26640,plain,
% 26.87/18.17 (~v200(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26639, 8143, 26636])).
% 26.87/18.17 tff(26641,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB147) | (~v198(constB147)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB147) | (~v198(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26642,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB147) | (~v198(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26643,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB147) | (~v198(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26642, 26641])).
% 26.87/18.17 tff(26644,plain,
% 26.87/18.17 (~v198(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26643, 8157, 26640])).
% 26.87/18.17 tff(26645,assumption,(v18(constB148)), introduced(assumption)).
% 26.87/18.17 tff(26646,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB148))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26647,plain,
% 26.87/18.17 ($false),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26646, 8, 26645])).
% 26.87/18.17 tff(26648,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.17 tff(26649,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26650,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26651,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 26.87/18.17 tff(26652,plain,
% 26.87/18.17 (v22(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26651, 24, 18286])).
% 26.87/18.17 tff(26653,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26654,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26655,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26654, 26653])).
% 26.87/18.17 tff(26656,plain,
% 26.87/18.17 (v18(constB148) | (~v19(constB148))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26655, 38, 26652])).
% 26.87/18.17 tff(26657,plain,
% 26.87/18.17 (~v19(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26656, 26648])).
% 26.87/18.17 tff(26658,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26659,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26660,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26659, 26658])).
% 26.87/18.17 tff(26661,plain,
% 26.87/18.17 (v13(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26660, 50, 26657])).
% 26.87/18.17 tff(26662,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26663,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26664,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26663, 26662])).
% 26.87/18.17 tff(26665,plain,
% 26.87/18.17 (v9(constB147) | (~v13(constB148))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26664, 67, 18263])).
% 26.87/18.17 tff(26666,plain,
% 26.87/18.17 (v9(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26665, 26661])).
% 26.87/18.17 tff(26667,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v197(constB147))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB147) | (~v9(constB147)) | v197(constB147))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26668,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v197(constB147))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26669,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB147) | (~v9(constB147)) | v197(constB147)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26668, 26667])).
% 26.87/18.17 tff(26670,plain,
% 26.87/18.17 ((~v9(constB147)) | v197(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26669, 85, 18112])).
% 26.87/18.17 tff(26671,plain,
% 26.87/18.17 (v197(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26670, 26666])).
% 26.87/18.17 tff(26672,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB147)) | v196(constB147))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB147)) | v196(constB147))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26673,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB147)) | v196(constB147))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26674,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB147)) | v196(constB147)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26673, 26672])).
% 26.87/18.17 tff(26675,plain,
% 26.87/18.17 (v196(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26674, 97, 26671])).
% 26.87/18.17 tff(26676,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB147)) | (~v196(constB147)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB147)) | (~v196(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26677,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB147)) | (~v196(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26678,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB147)) | (~v196(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26677, 26676])).
% 26.87/18.17 tff(26679,plain,
% 26.87/18.17 (~v194(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26678, 108, 26675])).
% 26.87/18.17 tff(26680,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB147) | v198(constB147) | (~v191(constB147)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB147) | v198(constB147) | (~v191(constB147)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26681,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB147) | v198(constB147) | (~v191(constB147)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26682,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB147) | v198(constB147) | (~v191(constB147))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26681, 26680])).
% 26.87/18.17 tff(26683,plain,
% 26.87/18.17 (v198(constB147) | (~v191(constB147))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26682, 8171, 26679])).
% 26.87/18.17 tff(26684,plain,
% 26.87/18.17 (~v191(constB147)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26683, 26644])).
% 26.87/18.17 tff(26685,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB147, constB148)) | v191(constB147) | (~v193(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB147, constB148)) | v191(constB147) | (~v193(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26686,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB147, constB148)) | v191(constB147) | (~v193(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26687,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB147, constB148)) | v191(constB147) | (~v193(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26686, 26685])).
% 26.87/18.17 tff(26688,plain,
% 26.87/18.17 (v191(constB147) | (~v193(constB148))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26687, 8186, 18263])).
% 26.87/18.17 tff(26689,plain,
% 26.87/18.17 (~v193(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26688, 26684])).
% 26.87/18.17 tff(26690,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB148) | (~v194(constB148)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB148) | (~v194(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26691,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB148) | (~v194(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26692,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB148) | (~v194(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 26.87/18.17 tff(26693,plain,
% 26.87/18.17 (~v194(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26692, 8201, 26689])).
% 26.87/18.17 tff(26694,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB148)) | (~v197(constB148)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB148)) | (~v197(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26695,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB148)) | (~v197(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26696,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB148)) | (~v197(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26695, 26694])).
% 26.87/18.17 tff(26697,plain,
% 26.87/18.17 (~v197(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26696, 8215, 18286])).
% 26.87/18.17 tff(26698,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB148) | (~v200(constB148)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB148) | (~v200(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26699,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB148) | (~v200(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26700,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB148) | (~v200(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 26.87/18.17 tff(26701,plain,
% 26.87/18.17 (~v200(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26700, 8229, 26697])).
% 26.87/18.17 tff(26702,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB148) | (~v198(constB148)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB148) | (~v198(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26703,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB148) | (~v198(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26704,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB148) | (~v198(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 26.87/18.17 tff(26705,plain,
% 26.87/18.17 (~v198(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26704, 8157, 26701])).
% 26.87/18.17 tff(26706,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB148) | v198(constB148) | (~v191(constB148)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB148) | v198(constB148) | (~v191(constB148)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26707,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB148) | v198(constB148) | (~v191(constB148)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26708,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB148) | v198(constB148) | (~v191(constB148))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26707, 26706])).
% 26.87/18.17 tff(26709,plain,
% 26.87/18.17 (v194(constB148) | (~v191(constB148))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26708, 8171, 26705])).
% 26.87/18.17 tff(26710,plain,
% 26.87/18.17 (~v191(constB148)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26709, 26693])).
% 26.87/18.17 tff(26711,plain,
% 26.87/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB148, constB149)) | v191(constB148) | (~v193(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB148, constB149)) | v191(constB148) | (~v193(constB149)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26712,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB148, constB149)) | v191(constB148) | (~v193(constB149)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26713,plain,
% 26.87/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB148, constB149)) | v191(constB148) | (~v193(constB149))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26712, 26711])).
% 26.87/18.17 tff(26714,plain,
% 26.87/18.17 (v191(constB148) | (~v193(constB149))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26713, 8186, 18331])).
% 26.87/18.17 tff(26715,plain,
% 26.87/18.17 (~v193(constB149)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26714, 26710])).
% 26.87/18.17 tff(26716,plain,
% 26.87/18.17 ($false),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26715, 26563])).
% 26.87/18.17 tff(26717,plain,(~(constB149 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.17 tff(26718,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.17 tff(26719,plain,
% 26.87/18.17 (v193(constB43) <=> v193(sK0_VarCurr)),
% 26.87/18.17 inference(monotonicity,[status(thm)],[26718])).
% 26.87/18.17 tff(26720,plain,
% 26.87/18.17 (v193(sK0_VarCurr) <=> v193(constB43)),
% 26.87/18.17 inference(symmetry,[status(thm)],[26719])).
% 26.87/18.17 tff(26721,plain,
% 26.87/18.17 (v193(constB43)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[8270, 26720])).
% 26.87/18.17 tff(26722,plain,
% 26.87/18.17 (v125(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5268, 2204, 19605, 19625, 19615])).
% 26.87/18.17 tff(26723,plain,
% 26.87/18.17 (v113(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5275, 2215, 26722])).
% 26.87/18.17 tff(26724,plain,
% 26.87/18.17 (v112(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5287, 26723])).
% 26.87/18.17 tff(26725,plain,
% 26.87/18.17 (v108(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5294, 544, 26724])).
% 26.87/18.17 tff(26726,plain,
% 26.87/18.17 (v110(constB38)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5305, 26725])).
% 26.87/18.17 tff(26727,plain,
% 26.87/18.17 (v100(constB38)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5337, 26726])).
% 26.87/18.17 tff(26728,plain,
% 26.87/18.17 (~v122(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5341, 2298, 19615])).
% 26.87/18.17 tff(26729,plain,
% 26.87/18.17 (~v121(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5345, 2287, 19615])).
% 26.87/18.17 tff(26730,plain,
% 26.87/18.17 (~v120(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5349, 2320, 19625])).
% 26.87/18.17 tff(26731,plain,
% 26.87/18.17 (~v119(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5353, 2309, 19625])).
% 26.87/18.17 tff(26732,plain,
% 26.87/18.17 (~v124(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5357, 2342, 19625])).
% 26.87/18.17 tff(26733,plain,
% 26.87/18.17 (~v123(constB37)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5361, 2331, 19625])).
% 26.87/18.17 tff(26734,plain,
% 26.87/18.17 (~v130(constB37, bitIndex2)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5365, 2356, 26733, 26732, 26731, 26730, 26729, 26728])).
% 26.87/18.17 tff(26735,plain,
% 26.87/18.17 (~v127(constB37, bitIndex2)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5373, 26734])).
% 26.87/18.17 tff(26736,plain,
% 26.87/18.17 (~v129(constB38, bitIndex2)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5378, 26735])).
% 26.87/18.17 tff(26737,plain,
% 26.87/18.17 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5382, 698, 26736])).
% 26.87/18.17 tff(26738,plain,
% 26.87/18.17 (~v90(constB38, bitIndex2)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26737, 26727])).
% 26.87/18.17 tff(26739,plain,
% 26.87/18.17 (~v90(constB39, bitIndex2)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5410, 26738])).
% 26.87/18.17 tff(26740,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26741,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26742,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26741, 26740])).
% 26.87/18.17 tff(26743,plain,
% 26.87/18.17 (~v88(constB39, bitIndex2)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26742, 25366, 26739])).
% 26.87/18.17 tff(26744,plain,
% 26.87/18.17 (~v130(constB37, bitIndex1)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5414, 2415, 26733, 26732, 26731, 26730, 26729, 26728])).
% 26.87/18.17 tff(26745,plain,
% 26.87/18.17 (~v127(constB37, bitIndex1)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5422, 26744])).
% 26.87/18.17 tff(26746,plain,
% 26.87/18.17 (~v129(constB38, bitIndex1)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5427, 26745])).
% 26.87/18.17 tff(26747,plain,
% 26.87/18.17 ((~v90(constB38, bitIndex1)) | (~v100(constB38))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5434, 784, 26746])).
% 26.87/18.17 tff(26748,plain,
% 26.87/18.17 (~v90(constB38, bitIndex1)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26747, 26727])).
% 26.87/18.17 tff(26749,plain,
% 26.87/18.17 (~v90(constB39, bitIndex1)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5444, 26748])).
% 26.87/18.17 tff(26750,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB39, bitIndex1)) | v90(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB39, bitIndex1)) | v90(constB39, bitIndex1))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26751,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB39, bitIndex1)) | v90(constB39, bitIndex1))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26752,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB39, bitIndex1)) | v90(constB39, bitIndex1)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26751, 26750])).
% 26.87/18.17 tff(26753,plain,
% 26.87/18.17 (~v88(constB39, bitIndex1)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26752, 25377, 26749])).
% 26.87/18.17 tff(26754,plain,
% 26.87/18.17 (v130(constB37, bitIndex0)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5448, 2459, 26733, 26732, 26731, 26730, 26729, 26728])).
% 26.87/18.17 tff(26755,plain,
% 26.87/18.17 (v127(constB37, bitIndex0)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5453, 26754])).
% 26.87/18.17 tff(26756,plain,
% 26.87/18.17 (v129(constB38, bitIndex0)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5458, 26755])).
% 26.87/18.17 tff(26757,plain,
% 26.87/18.17 (v90(constB38, bitIndex0) | (~v100(constB38))),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5465, 852, 26756])).
% 26.87/18.17 tff(26758,plain,
% 26.87/18.17 (v90(constB38, bitIndex0)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26757, 26727])).
% 26.87/18.17 tff(26759,plain,
% 26.87/18.17 (v90(constB39, bitIndex0)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[5475, 26758])).
% 26.87/18.17 tff(26760,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26761,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26762,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26761, 26760])).
% 26.87/18.17 tff(26763,plain,
% 26.87/18.17 (v88(constB39, bitIndex0)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26762, 26352, 26759])).
% 26.87/18.17 tff(26764,plain,
% 26.87/18.17 (^[VarCurr: state_type] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)))),
% 26.87/18.17 inference(bind,[status(th)],[])).
% 26.87/18.17 tff(26765,plain,
% 26.87/18.17 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(quant_intro,[status(thm)],[26764])).
% 26.87/18.17 tff(26766,plain,
% 26.87/18.17 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26767,plain,
% 26.87/18.17 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)))), ((((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> ((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)))), rewrite(((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))))),
% 26.87/18.17 inference(bind,[status(th)],[])).
% 26.87/18.17 tff(26768,plain,
% 26.87/18.17 (![VarCurr: state_type] : (((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(quant_intro,[status(thm)],[26767])).
% 26.87/18.17 tff(26769,axiom,(![VarCurr: state_type] : (((v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0))) | v140(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 26.87/18.17 tff(26770,plain,
% 26.87/18.17 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26769, 26768])).
% 26.87/18.17 tff(26771,plain,
% 26.87/18.17 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26770, 26766])).
% 26.87/18.17 tff(26772,plain,(
% 26.87/18.17 ![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(skolemize,[status(sab)],[26771])).
% 26.87/18.17 tff(26773,plain,
% 26.87/18.17 (![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26772, 26765])).
% 26.87/18.17 tff(26774,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26775,plain,
% 26.87/18.17 ((v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39)) <=> (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26776,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39)))),
% 26.87/18.17 inference(monotonicity,[status(thm)],[26775])).
% 26.87/18.17 tff(26777,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 26.87/18.17 inference(transitivity,[status(thm)],[26776, 26774])).
% 26.87/18.17 tff(26778,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26779,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex0)) | v140(constB39)),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 26.87/18.17 tff(26780,plain,
% 26.87/18.17 (v140(constB39)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26779, 26773, 26763, 26753, 26743])).
% 26.87/18.17 tff(26781,plain,
% 26.87/18.17 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v169(VarCurr)) <=> ((~v140(VarCurr)) | v169(VarCurr)))),
% 26.87/18.17 inference(bind,[status(th)],[])).
% 26.87/18.17 tff(26782,plain,
% 26.87/18.17 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 26.87/18.17 inference(quant_intro,[status(thm)],[26781])).
% 26.87/18.17 tff(26783,plain,
% 26.87/18.17 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26784,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1')).
% 26.87/18.17 tff(26785,plain,
% 26.87/18.17 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 26.87/18.17 tff(26786,plain,(
% 26.87/18.17 ![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 26.87/18.17 inference(skolemize,[status(sab)],[26785])).
% 26.87/18.17 tff(26787,plain,
% 26.87/18.17 (![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26786, 26782])).
% 26.87/18.17 tff(26788,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB39) | (~v140(constB39)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB39) | (~v140(constB39)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26789,plain,
% 26.87/18.17 (((~v140(constB39)) | v169(constB39)) <=> (v169(constB39) | (~v140(constB39)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26790,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB39)) | v169(constB39))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB39) | (~v140(constB39))))),
% 26.87/18.17 inference(monotonicity,[status(thm)],[26789])).
% 26.87/18.17 tff(26791,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB39)) | v169(constB39))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB39) | (~v140(constB39)))),
% 26.87/18.17 inference(transitivity,[status(thm)],[26790, 26788])).
% 26.87/18.17 tff(26792,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB39)) | v169(constB39))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26793,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB39) | (~v140(constB39))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26792, 26791])).
% 26.87/18.17 tff(26794,plain,
% 26.87/18.17 (v169(constB39)),
% 26.87/18.17 inference(unit_resolution,[status(thm)],[26793, 26787, 26780])).
% 26.87/18.17 tff(26795,plain,
% 26.87/18.17 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB39) | (~v169(constB39)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB39) | (~v169(constB39)))),
% 26.87/18.17 inference(rewrite,[status(thm)],[])).
% 26.87/18.17 tff(26796,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB39) | (~v169(constB39)))),
% 26.87/18.17 inference(quant_inst,[status(thm)],[])).
% 26.87/18.17 tff(26797,plain,
% 26.87/18.17 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB39) | (~v169(constB39))),
% 26.87/18.17 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 26.87/18.18 tff(26798,plain,
% 26.87/18.18 (v168(constB39)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26797, 23060, 26794])).
% 26.87/18.18 tff(26799,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB39)) | v167(constB39))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB39)) | v167(constB39))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26800,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB39)) | v167(constB39))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26801,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB39)) | v167(constB39)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26800, 26799])).
% 26.87/18.18 tff(26802,plain,
% 26.87/18.18 (v167(constB39)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26801, 23043, 26798])).
% 26.87/18.18 tff(26803,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB39)) | (~v170(constB39)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26804,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB39)) | (~v170(constB39)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26805,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB39)) | (~v170(constB39))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26804, 26803])).
% 26.87/18.18 tff(26806,plain,
% 26.87/18.18 (~v170(constB39)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26805, 8084, 26802])).
% 26.87/18.18 tff(26807,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26808,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB39) | (~v167(constB39)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26809,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB39) | (~v167(constB39))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26808, 26807])).
% 26.87/18.18 tff(26810,plain,
% 26.87/18.18 (v166(constB39)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26809, 8098, 26802])).
% 26.87/18.18 tff(26811,plain,
% 26.87/18.18 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB39)) | (~v166(constB39)) | v170(constB39))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | (~v166(constB39)) | v170(constB39))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26812,plain,
% 26.87/18.18 (((~v166(constB39)) | v170(constB39) | (~v163(constB39))) <=> ((~v163(constB39)) | (~v166(constB39)) | v170(constB39))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26813,plain,
% 26.87/18.18 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB39)) | (~v166(constB39)) | v170(constB39)))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26812])).
% 26.87/18.18 tff(26814,plain,
% 26.87/18.18 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | (~v166(constB39)) | v170(constB39))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26813, 26811])).
% 26.87/18.18 tff(26815,plain,
% 26.87/18.18 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB39)) | v170(constB39) | (~v163(constB39)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26816,plain,
% 26.87/18.18 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB39)) | (~v166(constB39)) | v170(constB39)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26815, 26814])).
% 26.87/18.18 tff(26817,plain,
% 26.87/18.18 (~v163(constB39)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26816, 8112, 26810, 26806])).
% 26.87/18.18 tff(26818,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26819,plain,
% 26.87/18.18 (((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40))) <=> (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26820,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40))))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26819])).
% 26.87/18.18 tff(26821,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40)))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26820, 26818])).
% 26.87/18.18 tff(26822,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB39, constB40)) | v163(constB39) | (~v186(constB40)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26823,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB39) | (~nextState(constB39, constB40)) | (~v186(constB40))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26822, 26821])).
% 26.87/18.18 tff(26824,plain,
% 26.87/18.18 (v163(constB39) | (~v186(constB40))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26823, 19345, 5540])).
% 26.87/18.18 tff(26825,plain,
% 26.87/18.18 (~v186(constB40)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26824, 26817])).
% 26.87/18.18 tff(26826,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26827,plain,
% 26.87/18.18 (((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40)) <=> ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26828,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v181(constB40) | v104(constB40)))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26827])).
% 26.87/18.18 tff(26829,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26828, 26826])).
% 26.87/18.18 tff(26830,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | v181(constB40))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26831,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB39, constB40)) | v181(constB40) | v104(constB40)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 26.87/18.18 tff(26832,plain,
% 26.87/18.18 (v181(constB40) | v104(constB40)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26831, 19367, 5540])).
% 26.87/18.18 tff(26833,plain,
% 26.87/18.18 (v181(constB40)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26832, 5552])).
% 26.87/18.18 tff(26834,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26835,plain,
% 26.87/18.18 (((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40))) <=> ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26836,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40))))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26835])).
% 26.87/18.18 tff(26837,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40)))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26836, 26834])).
% 26.87/18.18 tff(26838,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB39, constB40)) | (~v1(constB40)) | v180(constB40) | (~v181(constB40)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26839,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB39, constB40)) | v180(constB40) | (~v1(constB40)) | (~v181(constB40))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26838, 26837])).
% 26.87/18.18 tff(26840,plain,
% 26.87/18.18 (v180(constB40) | (~v181(constB40))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26839, 19385, 5540, 5563])).
% 26.87/18.18 tff(26841,plain,
% 26.87/18.18 (v180(constB40)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26840, 26833])).
% 26.87/18.18 tff(26842,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26843,plain,
% 26.87/18.18 (((~nextState(constB39, constB40)) | (~v180(constB40)) | v179(constB40)) <=> ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26844,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB39, constB40)) | (~v180(constB40)) | v179(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40))))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26843])).
% 26.87/18.18 tff(26845,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB39, constB40)) | (~v180(constB40)) | v179(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40)))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26844, 26842])).
% 26.87/18.18 tff(26846,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB39, constB40)) | (~v180(constB40)) | v179(constB40))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26847,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB39, constB40)) | v179(constB40) | (~v180(constB40))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26846, 26845])).
% 26.87/18.18 tff(26848,plain,
% 26.87/18.18 (v179(constB40) | (~v180(constB40))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26847, 19403, 5540])).
% 26.87/18.18 tff(26849,plain,
% 26.87/18.18 (v179(constB40)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26848, 26841])).
% 26.87/18.18 tff(26850,plain,
% 26.87/18.18 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB40) | (~v159(constB40)) | (~v179(constB40)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB40) | (~v159(constB40)) | (~v179(constB40)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26851,plain,
% 26.87/18.18 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB40) | (~v159(constB40)) | (~v179(constB40)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26852,plain,
% 26.87/18.18 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB40) | (~v159(constB40)) | (~v179(constB40))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 26.87/18.18 tff(26853,plain,
% 26.87/18.18 (v186(constB40) | (~v159(constB40))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26852, 19421, 26849])).
% 26.87/18.18 tff(26854,plain,
% 26.87/18.18 (~v159(constB40)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26853, 26825])).
% 26.87/18.18 tff(26855,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26856,plain,
% 26.87/18.18 (((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41))) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26857,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41))))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26856])).
% 26.87/18.18 tff(26858,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41)))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26857, 26855])).
% 26.87/18.18 tff(26859,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB40, constB41)) | v1(constB41) | (~v180(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26860,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v180(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 26.87/18.18 tff(26861,plain,
% 26.87/18.18 (~v180(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26860, 19439, 5611, 5608])).
% 26.87/18.18 tff(26862,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26863,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26864,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB40, constB41)) | v180(constB41) | (~v179(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26863, 26862])).
% 26.87/18.18 tff(26865,plain,
% 26.87/18.18 (v180(constB41) | (~v179(constB41))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26864, 19456, 5611])).
% 26.87/18.18 tff(26866,plain,
% 26.87/18.18 (~v179(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26865, 26861])).
% 26.87/18.18 tff(26867,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26868,plain,
% 26.87/18.18 (((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41))) <=> (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26869,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41))))),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26868])).
% 26.87/18.18 tff(26870,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41)))),
% 26.87/18.18 inference(transitivity,[status(thm)],[26869, 26867])).
% 26.87/18.18 tff(26871,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB40, constB41)) | v179(constB41) | v159(constB40) | (~v159(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26872,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB40) | (~nextState(constB40, constB41)) | v179(constB41) | (~v159(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 26.87/18.18 tff(26873,plain,
% 26.87/18.18 (v159(constB40) | v179(constB41) | (~v159(constB41))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26872, 19471, 5611])).
% 26.87/18.18 tff(26874,plain,
% 26.87/18.18 (v159(constB40) | (~v159(constB41))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26873, 26866])).
% 26.87/18.18 tff(26875,plain,
% 26.87/18.18 (~v159(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26874, 26854])).
% 26.87/18.18 tff(26876,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB41) | (~v201(constB41)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB41) | (~v201(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26877,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB41) | (~v201(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26878,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB41) | (~v201(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26877, 26876])).
% 26.87/18.18 tff(26879,plain,
% 26.87/18.18 (~v201(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26878, 19490, 26875])).
% 26.87/18.18 tff(26880,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB41) | (~v200(constB41)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB41) | (~v200(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26881,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB41) | (~v200(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26882,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB41) | (~v200(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26881, 26880])).
% 26.87/18.18 tff(26883,plain,
% 26.87/18.18 (~v200(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26882, 8143, 26879])).
% 26.87/18.18 tff(26884,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB41) | (~v198(constB41)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB41) | (~v198(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26885,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB41) | (~v198(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26886,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB41) | (~v198(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26885, 26884])).
% 26.87/18.18 tff(26887,plain,
% 26.87/18.18 (~v198(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26886, 8157, 26883])).
% 26.87/18.18 tff(26888,assumption,(v18(constB42)), introduced(assumption)).
% 26.87/18.18 tff(26889,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB42))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26890,plain,
% 26.87/18.18 ($false),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26889, 8, 26888])).
% 26.87/18.18 tff(26891,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.18 tff(26892,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26893,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26894,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26893, 26892])).
% 26.87/18.18 tff(26895,plain,
% 26.87/18.18 (v22(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26894, 24, 5751])).
% 26.87/18.18 tff(26896,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26897,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26898,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26897, 26896])).
% 26.87/18.18 tff(26899,plain,
% 26.87/18.18 (v18(constB42) | (~v19(constB42))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26898, 38, 26895])).
% 26.87/18.18 tff(26900,plain,
% 26.87/18.18 (~v19(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26899, 26891])).
% 26.87/18.18 tff(26901,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26902,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26903,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26902, 26901])).
% 26.87/18.18 tff(26904,plain,
% 26.87/18.18 (v13(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26903, 50, 26900])).
% 26.87/18.18 tff(26905,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26906,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26907,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26906, 26905])).
% 26.87/18.18 tff(26908,plain,
% 26.87/18.18 (v9(constB41) | (~v13(constB42))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26907, 67, 5728])).
% 26.87/18.18 tff(26909,plain,
% 26.87/18.18 (v9(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26908, 26904])).
% 26.87/18.18 tff(26910,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v197(constB41))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB41) | (~v9(constB41)) | v197(constB41))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26911,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v197(constB41))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26912,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB41) | (~v9(constB41)) | v197(constB41)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26911, 26910])).
% 26.87/18.18 tff(26913,plain,
% 26.87/18.18 ((~v9(constB41)) | v197(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26912, 85, 5608])).
% 26.87/18.18 tff(26914,plain,
% 26.87/18.18 (v197(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26913, 26909])).
% 26.87/18.18 tff(26915,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB41)) | v196(constB41))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB41)) | v196(constB41))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26916,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB41)) | v196(constB41))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26917,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB41)) | v196(constB41)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 26.87/18.18 tff(26918,plain,
% 26.87/18.18 (v196(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26917, 97, 26914])).
% 26.87/18.18 tff(26919,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB41)) | (~v196(constB41)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB41)) | (~v196(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26920,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB41)) | (~v196(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26921,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB41)) | (~v196(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26920, 26919])).
% 26.87/18.18 tff(26922,plain,
% 26.87/18.18 (~v194(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26921, 108, 26918])).
% 26.87/18.18 tff(26923,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB41) | v198(constB41) | (~v191(constB41)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB41) | v198(constB41) | (~v191(constB41)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26924,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB41) | v198(constB41) | (~v191(constB41)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26925,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB41) | v198(constB41) | (~v191(constB41))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26924, 26923])).
% 26.87/18.18 tff(26926,plain,
% 26.87/18.18 (v198(constB41) | (~v191(constB41))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26925, 8171, 26922])).
% 26.87/18.18 tff(26927,plain,
% 26.87/18.18 (~v191(constB41)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26926, 26887])).
% 26.87/18.18 tff(26928,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26929,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26930,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB41, constB42)) | v191(constB41) | (~v193(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26929, 26928])).
% 26.87/18.18 tff(26931,plain,
% 26.87/18.18 (v191(constB41) | (~v193(constB42))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26930, 8186, 5728])).
% 26.87/18.18 tff(26932,plain,
% 26.87/18.18 (~v193(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26931, 26927])).
% 26.87/18.18 tff(26933,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB42) | (~v194(constB42)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB42) | (~v194(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26934,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB42) | (~v194(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26935,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB42) | (~v194(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 26.87/18.18 tff(26936,plain,
% 26.87/18.18 (~v194(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26935, 8201, 26932])).
% 26.87/18.18 tff(26937,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB42)) | (~v197(constB42)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB42)) | (~v197(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26938,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB42)) | (~v197(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26939,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB42)) | (~v197(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 26.87/18.18 tff(26940,plain,
% 26.87/18.18 (~v197(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26939, 8215, 5751])).
% 26.87/18.18 tff(26941,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB42) | (~v200(constB42)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB42) | (~v200(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26942,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB42) | (~v200(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26943,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB42) | (~v200(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 26.87/18.18 tff(26944,plain,
% 26.87/18.18 (~v200(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26943, 8229, 26940])).
% 26.87/18.18 tff(26945,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB42) | (~v198(constB42)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB42) | (~v198(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26946,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB42) | (~v198(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26947,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB42) | (~v198(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 26.87/18.18 tff(26948,plain,
% 26.87/18.18 (~v198(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26947, 8157, 26944])).
% 26.87/18.18 tff(26949,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB42) | v198(constB42) | (~v191(constB42)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB42) | v198(constB42) | (~v191(constB42)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26950,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB42) | v198(constB42) | (~v191(constB42)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26951,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB42) | v198(constB42) | (~v191(constB42))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26950, 26949])).
% 26.87/18.18 tff(26952,plain,
% 26.87/18.18 (v194(constB42) | (~v191(constB42))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26951, 8171, 26948])).
% 26.87/18.18 tff(26953,plain,
% 26.87/18.18 (~v191(constB42)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26952, 26936])).
% 26.87/18.18 tff(26954,plain,
% 26.87/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26955,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43)))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26956,plain,
% 26.87/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB42, constB43)) | v191(constB42) | (~v193(constB43))),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 26.87/18.18 tff(26957,plain,
% 26.87/18.18 (v191(constB42) | (~v193(constB43))),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26956, 8186, 5845])).
% 26.87/18.18 tff(26958,plain,
% 26.87/18.18 (~v193(constB43)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26957, 26953])).
% 26.87/18.18 tff(26959,plain,
% 26.87/18.18 ($false),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26958, 26721])).
% 26.87/18.18 tff(26960,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.18 tff(26961,assumption,(constB79 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.18 tff(26962,plain,
% 26.87/18.18 (v193(constB79) <=> v193(sK0_VarCurr)),
% 26.87/18.18 inference(monotonicity,[status(thm)],[26961])).
% 26.87/18.18 tff(26963,plain,
% 26.87/18.18 (v193(sK0_VarCurr) <=> v193(constB79)),
% 26.87/18.18 inference(symmetry,[status(thm)],[26962])).
% 26.87/18.18 tff(26964,plain,
% 26.87/18.18 (v193(constB79)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[8270, 26963])).
% 26.87/18.18 tff(26965,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB75, bitIndex2)) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB75, bitIndex2)) | v90(constB75, bitIndex2))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26966,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB75, bitIndex2)) | v90(constB75, bitIndex2))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26967,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB75, bitIndex2)) | v90(constB75, bitIndex2)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 26.87/18.18 tff(26968,plain,
% 26.87/18.18 (~v88(constB75, bitIndex2)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26967, 25366, 9844])).
% 26.87/18.18 tff(26969,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB75, bitIndex1)) | v90(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB75, bitIndex1)) | v90(constB75, bitIndex1))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26970,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB75, bitIndex1)) | v90(constB75, bitIndex1))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26971,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB75, bitIndex1)) | v90(constB75, bitIndex1)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 26.87/18.18 tff(26972,plain,
% 26.87/18.18 (~v88(constB75, bitIndex1)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26971, 25377, 9878])).
% 26.87/18.18 tff(26973,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26974,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))),
% 26.87/18.18 inference(quant_inst,[status(thm)],[])).
% 26.87/18.18 tff(26975,plain,
% 26.87/18.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0)),
% 26.87/18.18 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 26.87/18.18 tff(26976,plain,
% 26.87/18.18 (v88(constB75, bitIndex0)),
% 26.87/18.18 inference(unit_resolution,[status(thm)],[26975, 26352, 9909])).
% 26.87/18.18 tff(26977,plain,
% 26.87/18.18 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 26.87/18.18 inference(rewrite,[status(thm)],[])).
% 26.87/18.18 tff(26978,plain,
% 26.87/18.18 ((v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75)) <=> (v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(26979,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75)))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[26978])).
% 26.87/18.19 tff(26980,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 26.87/18.19 inference(transitivity,[status(thm)],[26979, 26977])).
% 26.87/18.19 tff(26981,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(26982,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB75, bitIndex1) | v88(constB75, bitIndex2) | (~v88(constB75, bitIndex0)) | v140(constB75)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[26981, 26980])).
% 26.87/18.19 tff(26983,plain,
% 26.87/18.19 (v140(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[26982, 26773, 26976, 26972, 26968])).
% 26.87/18.19 tff(26984,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB75)) | v169(constB75))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB75)) | v169(constB75))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(26985,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB75)) | v169(constB75))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(26986,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB75)) | v169(constB75)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 26.87/18.19 tff(26987,plain,
% 26.87/18.19 (v169(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[26986, 26787, 26983])).
% 26.87/18.19 tff(26988,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB75) | (~v169(constB75)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB75) | (~v169(constB75)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(26989,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB75) | (~v169(constB75)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(26990,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB75) | (~v169(constB75))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 26.87/18.19 tff(26991,plain,
% 26.87/18.19 (v168(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[26990, 23060, 26987])).
% 26.87/18.19 tff(26992,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB75)) | v167(constB75))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB75)) | v167(constB75))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(26993,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB75)) | v167(constB75))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(26994,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB75)) | v167(constB75)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[26993, 26992])).
% 26.87/18.19 tff(26995,plain,
% 26.87/18.19 (v167(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[26994, 23043, 26991])).
% 26.87/18.19 tff(26996,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB75)) | (~v170(constB75)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB75)) | (~v170(constB75)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(26997,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB75)) | (~v170(constB75)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(26998,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB75)) | (~v170(constB75))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[26997, 26996])).
% 26.87/18.19 tff(26999,plain,
% 26.87/18.19 (~v170(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[26998, 8084, 26995])).
% 26.87/18.19 tff(27000,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB75) | (~v167(constB75)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB75) | (~v167(constB75)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27001,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB75) | (~v167(constB75)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27002,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB75) | (~v167(constB75))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27001, 27000])).
% 26.87/18.19 tff(27003,plain,
% 26.87/18.19 (v166(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27002, 8098, 26995])).
% 26.87/18.19 tff(27004,plain,
% 26.87/18.19 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB75)) | (~v166(constB75)) | v170(constB75))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB75)) | (~v166(constB75)) | v170(constB75))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27005,plain,
% 26.87/18.19 (((~v166(constB75)) | v170(constB75) | (~v163(constB75))) <=> ((~v163(constB75)) | (~v166(constB75)) | v170(constB75))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27006,plain,
% 26.87/18.19 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB75)) | v170(constB75) | (~v163(constB75)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB75)) | (~v166(constB75)) | v170(constB75)))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27005])).
% 26.87/18.19 tff(27007,plain,
% 26.87/18.19 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB75)) | v170(constB75) | (~v163(constB75)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB75)) | (~v166(constB75)) | v170(constB75))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27006, 27004])).
% 26.87/18.19 tff(27008,plain,
% 26.87/18.19 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB75)) | v170(constB75) | (~v163(constB75)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27009,plain,
% 26.87/18.19 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB75)) | (~v166(constB75)) | v170(constB75)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 26.87/18.19 tff(27010,plain,
% 26.87/18.19 (~v163(constB75)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27009, 8112, 27003, 26999])).
% 26.87/18.19 tff(27011,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB75) | (~nextState(constB75, constB76)) | (~v186(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB75) | (~nextState(constB75, constB76)) | (~v186(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27012,plain,
% 26.87/18.19 (((~nextState(constB75, constB76)) | v163(constB75) | (~v186(constB76))) <=> (v163(constB75) | (~nextState(constB75, constB76)) | (~v186(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27013,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB75, constB76)) | v163(constB75) | (~v186(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB75) | (~nextState(constB75, constB76)) | (~v186(constB76))))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27012])).
% 26.87/18.19 tff(27014,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB75, constB76)) | v163(constB75) | (~v186(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB75) | (~nextState(constB75, constB76)) | (~v186(constB76)))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27013, 27011])).
% 26.87/18.19 tff(27015,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB75, constB76)) | v163(constB75) | (~v186(constB76)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27016,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB75) | (~nextState(constB75, constB76)) | (~v186(constB76))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27015, 27014])).
% 26.87/18.19 tff(27017,plain,
% 26.87/18.19 (v163(constB75) | (~v186(constB76))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27016, 19345, 9974])).
% 26.87/18.19 tff(27018,plain,
% 26.87/18.19 (~v186(constB76)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27017, 27010])).
% 26.87/18.19 tff(27019,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB75, constB76)) | v181(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB75, constB76)) | v181(constB76) | v104(constB76))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27020,plain,
% 26.87/18.19 (((~nextState(constB75, constB76)) | v104(constB76) | v181(constB76)) <=> ((~nextState(constB75, constB76)) | v181(constB76) | v104(constB76))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27021,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v181(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB75, constB76)) | v181(constB76) | v104(constB76)))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27020])).
% 26.87/18.19 tff(27022,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v181(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB75, constB76)) | v181(constB76) | v104(constB76))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27021, 27019])).
% 26.87/18.19 tff(27023,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | v181(constB76))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27024,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB75, constB76)) | v181(constB76) | v104(constB76)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27023, 27022])).
% 26.87/18.19 tff(27025,plain,
% 26.87/18.19 (v181(constB76) | v104(constB76)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27024, 19367, 9974])).
% 26.87/18.19 tff(27026,plain,
% 26.87/18.19 (v181(constB76)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27025, 9986])).
% 26.87/18.19 tff(27027,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB75, constB76)) | v180(constB76) | (~v1(constB76)) | (~v181(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB75, constB76)) | v180(constB76) | (~v1(constB76)) | (~v181(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27028,plain,
% 26.87/18.19 (((~nextState(constB75, constB76)) | (~v1(constB76)) | v180(constB76) | (~v181(constB76))) <=> ((~nextState(constB75, constB76)) | v180(constB76) | (~v1(constB76)) | (~v181(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27029,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v180(constB76) | (~v181(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB75, constB76)) | v180(constB76) | (~v1(constB76)) | (~v181(constB76))))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27028])).
% 26.87/18.19 tff(27030,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v180(constB76) | (~v181(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB75, constB76)) | v180(constB76) | (~v1(constB76)) | (~v181(constB76)))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27029, 27027])).
% 26.87/18.19 tff(27031,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB75, constB76)) | (~v1(constB76)) | v180(constB76) | (~v181(constB76)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27032,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB75, constB76)) | v180(constB76) | (~v1(constB76)) | (~v181(constB76))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27031, 27030])).
% 26.87/18.19 tff(27033,plain,
% 26.87/18.19 (v180(constB76) | (~v181(constB76))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27032, 19385, 9974, 9997])).
% 26.87/18.19 tff(27034,plain,
% 26.87/18.19 (v180(constB76)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27033, 27026])).
% 26.87/18.19 tff(27035,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB75, constB76)) | v179(constB76) | (~v180(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB75, constB76)) | v179(constB76) | (~v180(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27036,plain,
% 26.87/18.19 (((~nextState(constB75, constB76)) | (~v180(constB76)) | v179(constB76)) <=> ((~nextState(constB75, constB76)) | v179(constB76) | (~v180(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27037,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB75, constB76)) | (~v180(constB76)) | v179(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB75, constB76)) | v179(constB76) | (~v180(constB76))))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27036])).
% 26.87/18.19 tff(27038,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB75, constB76)) | (~v180(constB76)) | v179(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB75, constB76)) | v179(constB76) | (~v180(constB76)))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27037, 27035])).
% 26.87/18.19 tff(27039,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB75, constB76)) | (~v180(constB76)) | v179(constB76))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27040,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB75, constB76)) | v179(constB76) | (~v180(constB76))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27039, 27038])).
% 26.87/18.19 tff(27041,plain,
% 26.87/18.19 (v179(constB76) | (~v180(constB76))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27040, 19403, 9974])).
% 26.87/18.19 tff(27042,plain,
% 26.87/18.19 (v179(constB76)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27041, 27034])).
% 26.87/18.19 tff(27043,plain,
% 26.87/18.19 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB76) | (~v159(constB76)) | (~v179(constB76)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB76) | (~v159(constB76)) | (~v179(constB76)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27044,plain,
% 26.87/18.19 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB76) | (~v159(constB76)) | (~v179(constB76)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27045,plain,
% 26.87/18.19 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB76) | (~v159(constB76)) | (~v179(constB76))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27044, 27043])).
% 26.87/18.19 tff(27046,plain,
% 26.87/18.19 (v186(constB76) | (~v159(constB76))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27045, 19421, 27042])).
% 26.87/18.19 tff(27047,plain,
% 26.87/18.19 (~v159(constB76)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27046, 27018])).
% 26.87/18.19 tff(27048,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v180(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v180(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27049,plain,
% 26.87/18.19 (((~nextState(constB76, constB77)) | v1(constB77) | (~v180(constB77))) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v180(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27050,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB76, constB77)) | v1(constB77) | (~v180(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v180(constB77))))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27049])).
% 26.87/18.19 tff(27051,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB76, constB77)) | v1(constB77) | (~v180(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v180(constB77)))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27050, 27048])).
% 26.87/18.19 tff(27052,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB76, constB77)) | v1(constB77) | (~v180(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27053,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v180(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27052, 27051])).
% 26.87/18.19 tff(27054,plain,
% 26.87/18.19 (~v180(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27053, 19439, 10042, 10039])).
% 26.87/18.19 tff(27055,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB76, constB77)) | v180(constB77) | (~v179(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB76, constB77)) | v180(constB77) | (~v179(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27056,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB76, constB77)) | v180(constB77) | (~v179(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27057,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB76, constB77)) | v180(constB77) | (~v179(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27056, 27055])).
% 26.87/18.19 tff(27058,plain,
% 26.87/18.19 (v180(constB77) | (~v179(constB77))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27057, 19456, 10042])).
% 26.87/18.19 tff(27059,plain,
% 26.87/18.19 (~v179(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27058, 27054])).
% 26.87/18.19 tff(27060,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB76) | (~nextState(constB76, constB77)) | v179(constB77) | (~v159(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB76) | (~nextState(constB76, constB77)) | v179(constB77) | (~v159(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27061,plain,
% 26.87/18.19 (((~nextState(constB76, constB77)) | v179(constB77) | v159(constB76) | (~v159(constB77))) <=> (v159(constB76) | (~nextState(constB76, constB77)) | v179(constB77) | (~v159(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27062,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB76, constB77)) | v179(constB77) | v159(constB76) | (~v159(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB76) | (~nextState(constB76, constB77)) | v179(constB77) | (~v159(constB77))))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27061])).
% 26.87/18.19 tff(27063,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB76, constB77)) | v179(constB77) | v159(constB76) | (~v159(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB76) | (~nextState(constB76, constB77)) | v179(constB77) | (~v159(constB77)))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27062, 27060])).
% 26.87/18.19 tff(27064,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB76, constB77)) | v179(constB77) | v159(constB76) | (~v159(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27065,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB76) | (~nextState(constB76, constB77)) | v179(constB77) | (~v159(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27064, 27063])).
% 26.87/18.19 tff(27066,plain,
% 26.87/18.19 (v159(constB76) | v179(constB77) | (~v159(constB77))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27065, 19471, 10042])).
% 26.87/18.19 tff(27067,plain,
% 26.87/18.19 (v159(constB76) | (~v159(constB77))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27066, 27059])).
% 26.87/18.19 tff(27068,plain,
% 26.87/18.19 (~v159(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27067, 27047])).
% 26.87/18.19 tff(27069,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB77) | (~v201(constB77)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB77) | (~v201(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27070,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB77) | (~v201(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27071,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB77) | (~v201(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27070, 27069])).
% 26.87/18.19 tff(27072,plain,
% 26.87/18.19 (~v201(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27071, 19490, 27068])).
% 26.87/18.19 tff(27073,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB77) | (~v200(constB77)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB77) | (~v200(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27074,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB77) | (~v200(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27075,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB77) | (~v200(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27074, 27073])).
% 26.87/18.19 tff(27076,plain,
% 26.87/18.19 (~v200(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27075, 8143, 27072])).
% 26.87/18.19 tff(27077,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB77) | (~v198(constB77)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB77) | (~v198(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27078,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB77) | (~v198(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27079,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB77) | (~v198(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27078, 27077])).
% 26.87/18.19 tff(27080,plain,
% 26.87/18.19 (~v198(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27079, 8157, 27076])).
% 26.87/18.19 tff(27081,assumption,(v18(constB78)), introduced(assumption)).
% 26.87/18.19 tff(27082,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB78))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27083,plain,
% 26.87/18.19 ($false),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27082, 8, 27081])).
% 26.87/18.19 tff(27084,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.19 tff(27085,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27086,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27087,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27086, 27085])).
% 26.87/18.19 tff(27088,plain,
% 26.87/18.19 (v22(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27087, 24, 10206])).
% 26.87/18.19 tff(27089,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27090,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27091,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27090, 27089])).
% 26.87/18.19 tff(27092,plain,
% 26.87/18.19 (v18(constB78) | (~v19(constB78))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27091, 38, 27088])).
% 26.87/18.19 tff(27093,plain,
% 26.87/18.19 (~v19(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27092, 27084])).
% 26.87/18.19 tff(27094,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27095,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27096,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27095, 27094])).
% 26.87/18.19 tff(27097,plain,
% 26.87/18.19 (v13(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27096, 50, 27093])).
% 26.87/18.19 tff(27098,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27099,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27100,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 26.87/18.19 tff(27101,plain,
% 26.87/18.19 (v9(constB77) | (~v13(constB78))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27100, 67, 10183])).
% 26.87/18.19 tff(27102,plain,
% 26.87/18.19 (v9(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27101, 27097])).
% 26.87/18.19 tff(27103,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v197(constB77))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB77) | (~v9(constB77)) | v197(constB77))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27104,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v197(constB77))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27105,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB77) | (~v9(constB77)) | v197(constB77)),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27104, 27103])).
% 26.87/18.19 tff(27106,plain,
% 26.87/18.19 ((~v9(constB77)) | v197(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27105, 85, 10039])).
% 26.87/18.19 tff(27107,plain,
% 26.87/18.19 (v197(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27106, 27102])).
% 26.87/18.19 tff(27108,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB77) | (~v197(constB77)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB77) | (~v197(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27109,plain,
% 26.87/18.19 (((~v197(constB77)) | v196(constB77)) <=> (v196(constB77) | (~v197(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27110,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB77)) | v196(constB77))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB77) | (~v197(constB77))))),
% 26.87/18.19 inference(monotonicity,[status(thm)],[27109])).
% 26.87/18.19 tff(27111,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB77)) | v196(constB77))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB77) | (~v197(constB77)))),
% 26.87/18.19 inference(transitivity,[status(thm)],[27110, 27108])).
% 26.87/18.19 tff(27112,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB77)) | v196(constB77))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27113,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB77) | (~v197(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27112, 27111])).
% 26.87/18.19 tff(27114,plain,
% 26.87/18.19 (v196(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27113, 97, 27107])).
% 26.87/18.19 tff(27115,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB77)) | (~v196(constB77)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB77)) | (~v196(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27116,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB77)) | (~v196(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27117,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB77)) | (~v196(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 26.87/18.19 tff(27118,plain,
% 26.87/18.19 (~v194(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27117, 108, 27114])).
% 26.87/18.19 tff(27119,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB77) | v198(constB77) | (~v191(constB77)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB77) | v198(constB77) | (~v191(constB77)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27120,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB77) | v198(constB77) | (~v191(constB77)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27121,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB77) | v198(constB77) | (~v191(constB77))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 26.87/18.19 tff(27122,plain,
% 26.87/18.19 (v198(constB77) | (~v191(constB77))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27121, 8171, 27118])).
% 26.87/18.19 tff(27123,plain,
% 26.87/18.19 (~v191(constB77)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27122, 27080])).
% 26.87/18.19 tff(27124,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB77, constB78)) | v191(constB77) | (~v193(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB77, constB78)) | v191(constB77) | (~v193(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27125,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB77, constB78)) | v191(constB77) | (~v193(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27126,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB77, constB78)) | v191(constB77) | (~v193(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 26.87/18.19 tff(27127,plain,
% 26.87/18.19 (v191(constB77) | (~v193(constB78))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27126, 8186, 10183])).
% 26.87/18.19 tff(27128,plain,
% 26.87/18.19 (~v193(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27127, 27123])).
% 26.87/18.19 tff(27129,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB78) | (~v194(constB78)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB78) | (~v194(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27130,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB78) | (~v194(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27131,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB78) | (~v194(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 26.87/18.19 tff(27132,plain,
% 26.87/18.19 (~v194(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27131, 8201, 27128])).
% 26.87/18.19 tff(27133,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB78)) | (~v197(constB78)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB78)) | (~v197(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27134,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB78)) | (~v197(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27135,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB78)) | (~v197(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27134, 27133])).
% 26.87/18.19 tff(27136,plain,
% 26.87/18.19 (~v197(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27135, 8215, 10206])).
% 26.87/18.19 tff(27137,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB78) | (~v200(constB78)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB78) | (~v200(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27138,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB78) | (~v200(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27139,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB78) | (~v200(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 26.87/18.19 tff(27140,plain,
% 26.87/18.19 (~v200(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27139, 8229, 27136])).
% 26.87/18.19 tff(27141,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB78) | (~v198(constB78)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB78) | (~v198(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27142,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB78) | (~v198(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27143,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB78) | (~v198(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27142, 27141])).
% 26.87/18.19 tff(27144,plain,
% 26.87/18.19 (~v198(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27143, 8157, 27140])).
% 26.87/18.19 tff(27145,plain,
% 26.87/18.19 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB78) | v198(constB78) | (~v191(constB78)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB78) | v198(constB78) | (~v191(constB78)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27146,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB78) | v198(constB78) | (~v191(constB78)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27147,plain,
% 26.87/18.19 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB78) | v198(constB78) | (~v191(constB78))),
% 26.87/18.19 inference(modus_ponens,[status(thm)],[27146, 27145])).
% 26.87/18.19 tff(27148,plain,
% 26.87/18.19 (v194(constB78) | (~v191(constB78))),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27147, 8171, 27144])).
% 26.87/18.19 tff(27149,plain,
% 26.87/18.19 (~v191(constB78)),
% 26.87/18.19 inference(unit_resolution,[status(thm)],[27148, 27132])).
% 26.87/18.19 tff(27150,plain,
% 26.87/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB78, constB79)) | v191(constB78) | (~v193(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB78, constB79)) | v191(constB78) | (~v193(constB79)))),
% 26.87/18.19 inference(rewrite,[status(thm)],[])).
% 26.87/18.19 tff(27151,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB78, constB79)) | v191(constB78) | (~v193(constB79)))),
% 26.87/18.19 inference(quant_inst,[status(thm)],[])).
% 26.87/18.19 tff(27152,plain,
% 26.87/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB78, constB79)) | v191(constB78) | (~v193(constB79))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27151, 27150])).
% 26.87/18.20 tff(27153,plain,
% 26.87/18.20 (v191(constB78) | (~v193(constB79))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27152, 8186, 10251])).
% 26.87/18.20 tff(27154,plain,
% 26.87/18.20 (~v193(constB79)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27153, 27149])).
% 26.87/18.20 tff(27155,plain,
% 26.87/18.20 ($false),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27154, 26964])).
% 26.87/18.20 tff(27156,plain,(~(constB79 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.20 tff(27157,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 26.87/18.20 tff(27158,plain,
% 26.87/18.20 (v193(constB155) <=> v193(sK0_VarCurr)),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27157])).
% 26.87/18.20 tff(27159,plain,
% 26.87/18.20 (v193(sK0_VarCurr) <=> v193(constB155)),
% 26.87/18.20 inference(symmetry,[status(thm)],[27158])).
% 26.87/18.20 tff(27160,plain,
% 26.87/18.20 (v193(constB155)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[8270, 27159])).
% 26.87/18.20 tff(27161,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27162,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27163,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 26.87/18.20 tff(27164,plain,
% 26.87/18.20 (v88(constB151, bitIndex1)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27163, 8034, 18592])).
% 26.87/18.20 tff(27165,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27166,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27167,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27166, 27165])).
% 26.87/18.20 tff(27168,plain,
% 26.87/18.20 (~v88(constB151, bitIndex2)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27167, 25366, 18623])).
% 26.87/18.20 tff(27169,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27170,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27171,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 26.87/18.20 tff(27172,plain,
% 26.87/18.20 (v88(constB151, bitIndex0)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27171, 26352, 18632])).
% 26.87/18.20 tff(27173,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27174,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27175,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 26.87/18.20 tff(27176,plain,
% 26.87/18.20 (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27175, 26366, 27172])).
% 26.87/18.20 tff(27177,plain,
% 26.87/18.20 (v141(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27176, 27168, 27164])).
% 26.87/18.20 tff(27178,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB151)) | v168(constB151))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB151)) | v168(constB151))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27179,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB151)) | v168(constB151))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27180,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB151)) | v168(constB151)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 26.87/18.20 tff(27181,plain,
% 26.87/18.20 (v168(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27180, 26380, 27177])).
% 26.87/18.20 tff(27182,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB151)) | v167(constB151))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB151)) | v167(constB151))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27183,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB151)) | v167(constB151))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27184,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB151)) | v167(constB151)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 26.87/18.20 tff(27185,plain,
% 26.87/18.20 (v167(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27184, 23043, 27181])).
% 26.87/18.20 tff(27186,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB151)) | (~v170(constB151)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB151)) | (~v170(constB151)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27187,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB151)) | (~v170(constB151)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27188,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB151)) | (~v170(constB151))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 26.87/18.20 tff(27189,plain,
% 26.87/18.20 (~v170(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27188, 8084, 27185])).
% 26.87/18.20 tff(27190,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB151) | (~v167(constB151)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB151) | (~v167(constB151)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27191,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB151) | (~v167(constB151)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27192,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB151) | (~v167(constB151))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27191, 27190])).
% 26.87/18.20 tff(27193,plain,
% 26.87/18.20 (v166(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27192, 8098, 27185])).
% 26.87/18.20 tff(27194,plain,
% 26.87/18.20 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB151)) | v170(constB151) | (~v166(constB151)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB151)) | v170(constB151) | (~v166(constB151)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27195,plain,
% 26.87/18.20 (((~v166(constB151)) | v170(constB151) | (~v163(constB151))) <=> ((~v163(constB151)) | v170(constB151) | (~v166(constB151)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27196,plain,
% 26.87/18.20 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB151)) | v170(constB151) | (~v163(constB151)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB151)) | v170(constB151) | (~v166(constB151))))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27195])).
% 26.87/18.20 tff(27197,plain,
% 26.87/18.20 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB151)) | v170(constB151) | (~v163(constB151)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB151)) | v170(constB151) | (~v166(constB151)))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27196, 27194])).
% 26.87/18.20 tff(27198,plain,
% 26.87/18.20 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB151)) | v170(constB151) | (~v163(constB151)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27199,plain,
% 26.87/18.20 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB151)) | v170(constB151) | (~v166(constB151))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27198, 27197])).
% 26.87/18.20 tff(27200,plain,
% 26.87/18.20 (~v163(constB151)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27199, 8112, 27193, 27189])).
% 26.87/18.20 tff(27201,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB151) | (~nextState(constB151, constB152)) | (~v186(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB151) | (~nextState(constB151, constB152)) | (~v186(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27202,plain,
% 26.87/18.20 (((~nextState(constB151, constB152)) | v163(constB151) | (~v186(constB152))) <=> (v163(constB151) | (~nextState(constB151, constB152)) | (~v186(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27203,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB151, constB152)) | v163(constB151) | (~v186(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB151) | (~nextState(constB151, constB152)) | (~v186(constB152))))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27202])).
% 26.87/18.20 tff(27204,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB151, constB152)) | v163(constB151) | (~v186(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB151) | (~nextState(constB151, constB152)) | (~v186(constB152)))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27203, 27201])).
% 26.87/18.20 tff(27205,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB151, constB152)) | v163(constB151) | (~v186(constB152)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27206,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB151) | (~nextState(constB151, constB152)) | (~v186(constB152))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27205, 27204])).
% 26.87/18.20 tff(27207,plain,
% 26.87/18.20 (v163(constB151) | (~v186(constB152))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27206, 19345, 18688])).
% 26.87/18.20 tff(27208,plain,
% 26.87/18.20 (~v186(constB152)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27207, 27200])).
% 26.87/18.20 tff(27209,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB151, constB152)) | v181(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB151, constB152)) | v181(constB152) | v104(constB152))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27210,plain,
% 26.87/18.20 (((~nextState(constB151, constB152)) | v104(constB152) | v181(constB152)) <=> ((~nextState(constB151, constB152)) | v181(constB152) | v104(constB152))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27211,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v181(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB151, constB152)) | v181(constB152) | v104(constB152)))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27210])).
% 26.87/18.20 tff(27212,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v181(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB151, constB152)) | v181(constB152) | v104(constB152))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27211, 27209])).
% 26.87/18.20 tff(27213,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | v181(constB152))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27214,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB151, constB152)) | v181(constB152) | v104(constB152)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27213, 27212])).
% 26.87/18.20 tff(27215,plain,
% 26.87/18.20 (v181(constB152) | v104(constB152)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27214, 19367, 18688])).
% 26.87/18.20 tff(27216,plain,
% 26.87/18.20 (v181(constB152)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27215, 18700])).
% 26.87/18.20 tff(27217,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB151, constB152)) | v180(constB152) | (~v1(constB152)) | (~v181(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB151, constB152)) | v180(constB152) | (~v1(constB152)) | (~v181(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27218,plain,
% 26.87/18.20 (((~nextState(constB151, constB152)) | (~v1(constB152)) | v180(constB152) | (~v181(constB152))) <=> ((~nextState(constB151, constB152)) | v180(constB152) | (~v1(constB152)) | (~v181(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27219,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v180(constB152) | (~v181(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB151, constB152)) | v180(constB152) | (~v1(constB152)) | (~v181(constB152))))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27218])).
% 26.87/18.20 tff(27220,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v180(constB152) | (~v181(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB151, constB152)) | v180(constB152) | (~v1(constB152)) | (~v181(constB152)))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27219, 27217])).
% 26.87/18.20 tff(27221,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB151, constB152)) | (~v1(constB152)) | v180(constB152) | (~v181(constB152)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27222,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB151, constB152)) | v180(constB152) | (~v1(constB152)) | (~v181(constB152))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27221, 27220])).
% 26.87/18.20 tff(27223,plain,
% 26.87/18.20 (v180(constB152) | (~v181(constB152))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27222, 19385, 18688, 18711])).
% 26.87/18.20 tff(27224,plain,
% 26.87/18.20 (v180(constB152)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27223, 27216])).
% 26.87/18.20 tff(27225,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB151, constB152)) | v179(constB152) | (~v180(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB151, constB152)) | v179(constB152) | (~v180(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27226,plain,
% 26.87/18.20 (((~nextState(constB151, constB152)) | (~v180(constB152)) | v179(constB152)) <=> ((~nextState(constB151, constB152)) | v179(constB152) | (~v180(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27227,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB151, constB152)) | (~v180(constB152)) | v179(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB151, constB152)) | v179(constB152) | (~v180(constB152))))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27226])).
% 26.87/18.20 tff(27228,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB151, constB152)) | (~v180(constB152)) | v179(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB151, constB152)) | v179(constB152) | (~v180(constB152)))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27227, 27225])).
% 26.87/18.20 tff(27229,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB151, constB152)) | (~v180(constB152)) | v179(constB152))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27230,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB151, constB152)) | v179(constB152) | (~v180(constB152))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27229, 27228])).
% 26.87/18.20 tff(27231,plain,
% 26.87/18.20 (v179(constB152) | (~v180(constB152))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27230, 19403, 18688])).
% 26.87/18.20 tff(27232,plain,
% 26.87/18.20 (v179(constB152)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27231, 27224])).
% 26.87/18.20 tff(27233,plain,
% 26.87/18.20 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB152) | (~v159(constB152)) | (~v179(constB152)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB152) | (~v159(constB152)) | (~v179(constB152)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27234,plain,
% 26.87/18.20 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB152) | (~v159(constB152)) | (~v179(constB152)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27235,plain,
% 26.87/18.20 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB152) | (~v159(constB152)) | (~v179(constB152))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27234, 27233])).
% 26.87/18.20 tff(27236,plain,
% 26.87/18.20 (v186(constB152) | (~v159(constB152))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27235, 19421, 27232])).
% 26.87/18.20 tff(27237,plain,
% 26.87/18.20 (~v159(constB152)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27236, 27208])).
% 26.87/18.20 tff(27238,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v180(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v180(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27239,plain,
% 26.87/18.20 (((~nextState(constB152, constB153)) | v1(constB153) | (~v180(constB153))) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v180(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27240,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB152, constB153)) | v1(constB153) | (~v180(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v180(constB153))))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27239])).
% 26.87/18.20 tff(27241,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB152, constB153)) | v1(constB153) | (~v180(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v180(constB153)))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27240, 27238])).
% 26.87/18.20 tff(27242,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB152, constB153)) | v1(constB153) | (~v180(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27243,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v180(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27242, 27241])).
% 26.87/18.20 tff(27244,plain,
% 26.87/18.20 (~v180(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27243, 19439, 18760, 18757])).
% 26.87/18.20 tff(27245,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB152, constB153)) | v180(constB153) | (~v179(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB152, constB153)) | v180(constB153) | (~v179(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27246,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB152, constB153)) | v180(constB153) | (~v179(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27247,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB152, constB153)) | v180(constB153) | (~v179(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27246, 27245])).
% 26.87/18.20 tff(27248,plain,
% 26.87/18.20 (v180(constB153) | (~v179(constB153))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27247, 19456, 18760])).
% 26.87/18.20 tff(27249,plain,
% 26.87/18.20 (~v179(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27248, 27244])).
% 26.87/18.20 tff(27250,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB152) | (~nextState(constB152, constB153)) | v179(constB153) | (~v159(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB152) | (~nextState(constB152, constB153)) | v179(constB153) | (~v159(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27251,plain,
% 26.87/18.20 (((~nextState(constB152, constB153)) | v179(constB153) | v159(constB152) | (~v159(constB153))) <=> (v159(constB152) | (~nextState(constB152, constB153)) | v179(constB153) | (~v159(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27252,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB152, constB153)) | v179(constB153) | v159(constB152) | (~v159(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB152) | (~nextState(constB152, constB153)) | v179(constB153) | (~v159(constB153))))),
% 26.87/18.20 inference(monotonicity,[status(thm)],[27251])).
% 26.87/18.20 tff(27253,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB152, constB153)) | v179(constB153) | v159(constB152) | (~v159(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB152) | (~nextState(constB152, constB153)) | v179(constB153) | (~v159(constB153)))),
% 26.87/18.20 inference(transitivity,[status(thm)],[27252, 27250])).
% 26.87/18.20 tff(27254,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB152, constB153)) | v179(constB153) | v159(constB152) | (~v159(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27255,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB152) | (~nextState(constB152, constB153)) | v179(constB153) | (~v159(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27254, 27253])).
% 26.87/18.20 tff(27256,plain,
% 26.87/18.20 (v159(constB152) | v179(constB153) | (~v159(constB153))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27255, 19471, 18760])).
% 26.87/18.20 tff(27257,plain,
% 26.87/18.20 (v159(constB152) | (~v159(constB153))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27256, 27249])).
% 26.87/18.20 tff(27258,plain,
% 26.87/18.20 (~v159(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27257, 27237])).
% 26.87/18.20 tff(27259,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB153) | (~v201(constB153)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB153) | (~v201(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27260,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB153) | (~v201(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27261,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB153) | (~v201(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27260, 27259])).
% 26.87/18.20 tff(27262,plain,
% 26.87/18.20 (~v201(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27261, 19490, 27258])).
% 26.87/18.20 tff(27263,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB153) | (~v200(constB153)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB153) | (~v200(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27264,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB153) | (~v200(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27265,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB153) | (~v200(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27264, 27263])).
% 26.87/18.20 tff(27266,plain,
% 26.87/18.20 (~v200(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27265, 8143, 27262])).
% 26.87/18.20 tff(27267,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB153) | (~v198(constB153)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB153) | (~v198(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27268,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB153) | (~v198(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27269,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB153) | (~v198(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27268, 27267])).
% 26.87/18.20 tff(27270,plain,
% 26.87/18.20 (~v198(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27269, 8157, 27266])).
% 26.87/18.20 tff(27271,assumption,(v18(constB154)), introduced(assumption)).
% 26.87/18.20 tff(27272,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB154))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27273,plain,
% 26.87/18.20 ($false),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27272, 8, 27271])).
% 26.87/18.20 tff(27274,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 26.87/18.20 tff(27275,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27276,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27277,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27276, 27275])).
% 26.87/18.20 tff(27278,plain,
% 26.87/18.20 (v22(constB154)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27277, 24, 18917])).
% 26.87/18.20 tff(27279,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27280,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27281,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27280, 27279])).
% 26.87/18.20 tff(27282,plain,
% 26.87/18.20 (v18(constB154) | (~v19(constB154))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27281, 38, 27278])).
% 26.87/18.20 tff(27283,plain,
% 26.87/18.20 (~v19(constB154)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27282, 27274])).
% 26.87/18.20 tff(27284,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27285,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27286,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27285, 27284])).
% 26.87/18.20 tff(27287,plain,
% 26.87/18.20 (v13(constB154)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27286, 50, 27283])).
% 26.87/18.20 tff(27288,plain,
% 26.87/18.20 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27289,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27290,plain,
% 26.87/18.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27289, 27288])).
% 26.87/18.20 tff(27291,plain,
% 26.87/18.20 (v9(constB153) | (~v13(constB154))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27290, 67, 18894])).
% 26.87/18.20 tff(27292,plain,
% 26.87/18.20 (v9(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27291, 27287])).
% 26.87/18.20 tff(27293,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v197(constB153))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB153) | (~v9(constB153)) | v197(constB153))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27294,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v197(constB153))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27295,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB153) | (~v9(constB153)) | v197(constB153)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 26.87/18.20 tff(27296,plain,
% 26.87/18.20 ((~v9(constB153)) | v197(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27295, 85, 18757])).
% 26.87/18.20 tff(27297,plain,
% 26.87/18.20 (v197(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27296, 27292])).
% 26.87/18.20 tff(27298,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB153)) | v196(constB153))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB153)) | v196(constB153))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27299,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB153)) | v196(constB153))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27300,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB153)) | v196(constB153)),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 26.87/18.20 tff(27301,plain,
% 26.87/18.20 (v196(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27300, 97, 27297])).
% 26.87/18.20 tff(27302,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB153)) | (~v196(constB153)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB153)) | (~v196(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27303,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB153)) | (~v196(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27304,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB153)) | (~v196(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27303, 27302])).
% 26.87/18.20 tff(27305,plain,
% 26.87/18.20 (~v194(constB153)),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27304, 108, 27301])).
% 26.87/18.20 tff(27306,plain,
% 26.87/18.20 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB153) | v198(constB153) | (~v191(constB153)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB153) | v198(constB153) | (~v191(constB153)))),
% 26.87/18.20 inference(rewrite,[status(thm)],[])).
% 26.87/18.20 tff(27307,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB153) | v198(constB153) | (~v191(constB153)))),
% 26.87/18.20 inference(quant_inst,[status(thm)],[])).
% 26.87/18.20 tff(27308,plain,
% 26.87/18.20 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB153) | v198(constB153) | (~v191(constB153))),
% 26.87/18.20 inference(modus_ponens,[status(thm)],[27307, 27306])).
% 26.87/18.20 tff(27309,plain,
% 26.87/18.20 (v198(constB153) | (~v191(constB153))),
% 26.87/18.20 inference(unit_resolution,[status(thm)],[27308, 8171, 27305])).
% 26.87/18.20 tff(27310,plain,
% 26.94/18.20 (~v191(constB153)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27309, 27270])).
% 26.94/18.20 tff(27311,plain,
% 26.94/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB153, constB154)) | v191(constB153) | (~v193(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB153, constB154)) | v191(constB153) | (~v193(constB154)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27312,plain,
% 26.94/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB153, constB154)) | v191(constB153) | (~v193(constB154)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27313,plain,
% 26.94/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB153, constB154)) | v191(constB153) | (~v193(constB154))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 26.94/18.20 tff(27314,plain,
% 26.94/18.20 (v191(constB153) | (~v193(constB154))),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27313, 8186, 18894])).
% 26.94/18.20 tff(27315,plain,
% 26.94/18.20 (~v193(constB154)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27314, 27310])).
% 26.94/18.20 tff(27316,plain,
% 26.94/18.20 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB154) | (~v194(constB154)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB154) | (~v194(constB154)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27317,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB154) | (~v194(constB154)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27318,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB154) | (~v194(constB154))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 26.94/18.20 tff(27319,plain,
% 26.94/18.20 (~v194(constB154)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27318, 8201, 27315])).
% 26.94/18.20 tff(27320,plain,
% 26.94/18.20 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB154)) | (~v197(constB154)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB154)) | (~v197(constB154)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27321,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB154)) | (~v197(constB154)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27322,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB154)) | (~v197(constB154))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27321, 27320])).
% 26.94/18.20 tff(27323,plain,
% 26.94/18.20 (~v197(constB154)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27322, 8215, 18917])).
% 26.94/18.20 tff(27324,plain,
% 26.94/18.20 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB154) | (~v200(constB154)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB154) | (~v200(constB154)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27325,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB154) | (~v200(constB154)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27326,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB154) | (~v200(constB154))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27325, 27324])).
% 26.94/18.20 tff(27327,plain,
% 26.94/18.20 (~v200(constB154)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27326, 8229, 27323])).
% 26.94/18.20 tff(27328,plain,
% 26.94/18.20 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB154) | (~v198(constB154)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB154) | (~v198(constB154)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27329,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB154) | (~v198(constB154)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27330,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB154) | (~v198(constB154))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27329, 27328])).
% 26.94/18.20 tff(27331,plain,
% 26.94/18.20 (~v198(constB154)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27330, 8157, 27327])).
% 26.94/18.20 tff(27332,plain,
% 26.94/18.20 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB154) | v198(constB154) | (~v191(constB154)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB154) | v198(constB154) | (~v191(constB154)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27333,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB154) | v198(constB154) | (~v191(constB154)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27334,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB154) | v198(constB154) | (~v191(constB154))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27333, 27332])).
% 26.94/18.20 tff(27335,plain,
% 26.94/18.20 (v194(constB154) | (~v191(constB154))),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27334, 8171, 27331])).
% 26.94/18.20 tff(27336,plain,
% 26.94/18.20 (~v191(constB154)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27335, 27319])).
% 26.94/18.20 tff(27337,plain,
% 26.94/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB154, constB155)) | v191(constB154) | (~v193(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB154, constB155)) | v191(constB154) | (~v193(constB155)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27338,plain,
% 26.94/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB154, constB155)) | v191(constB154) | (~v193(constB155)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27339,plain,
% 26.94/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB154, constB155)) | v191(constB154) | (~v193(constB155))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27338, 27337])).
% 26.94/18.20 tff(27340,plain,
% 26.94/18.20 (v191(constB154) | (~v193(constB155))),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27339, 8186, 18962])).
% 26.94/18.20 tff(27341,plain,
% 26.94/18.20 (~v193(constB155)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27340, 27336])).
% 26.94/18.20 tff(27342,plain,
% 26.94/18.20 ($false),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27341, 27160])).
% 26.94/18.20 tff(27343,plain,(~(constB155 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.20 tff(27344,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.20 tff(27345,plain,
% 26.94/18.20 (v193(constB137) <=> v193(sK0_VarCurr)),
% 26.94/18.20 inference(monotonicity,[status(thm)],[27344])).
% 26.94/18.20 tff(27346,plain,
% 26.94/18.20 (v193(sK0_VarCurr) <=> v193(constB137)),
% 26.94/18.20 inference(symmetry,[status(thm)],[27345])).
% 26.94/18.20 tff(27347,plain,
% 26.94/18.20 (v193(constB137)),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[8270, 27346])).
% 26.94/18.20 tff(27348,plain,
% 26.94/18.20 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB133)) | (~v170(constB133)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB133)) | (~v170(constB133)))),
% 26.94/18.20 inference(rewrite,[status(thm)],[])).
% 26.94/18.20 tff(27349,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB133)) | (~v170(constB133)))),
% 26.94/18.20 inference(quant_inst,[status(thm)],[])).
% 26.94/18.20 tff(27350,plain,
% 26.94/18.20 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB133)) | (~v170(constB133))),
% 26.94/18.20 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 26.94/18.20 tff(27351,plain,
% 26.94/18.20 (~v170(constB133)),
% 26.94/18.20 inference(unit_resolution,[status(thm)],[27350, 8084, 20106])).
% 26.94/18.20 tff(27352,plain,
% 26.94/18.20 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB133)) | (~v166(constB133)) | v170(constB133))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB133)) | (~v166(constB133)) | v170(constB133))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27353,plain,
% 26.94/18.21 (((~v166(constB133)) | v170(constB133) | (~v163(constB133))) <=> ((~v163(constB133)) | (~v166(constB133)) | v170(constB133))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27354,plain,
% 26.94/18.21 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB133)) | v170(constB133) | (~v163(constB133)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB133)) | (~v166(constB133)) | v170(constB133)))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27353])).
% 26.94/18.21 tff(27355,plain,
% 26.94/18.21 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB133)) | v170(constB133) | (~v163(constB133)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB133)) | (~v166(constB133)) | v170(constB133))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27354, 27352])).
% 26.94/18.21 tff(27356,plain,
% 26.94/18.21 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB133)) | v170(constB133) | (~v163(constB133)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27357,plain,
% 26.94/18.21 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB133)) | (~v166(constB133)) | v170(constB133)),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27356, 27355])).
% 26.94/18.21 tff(27358,plain,
% 26.94/18.21 (~v163(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27357, 8112, 20110, 27351])).
% 26.94/18.21 tff(27359,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB133) | (~v201(constB133)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB133) | (~v201(constB133)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27360,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB133) | (~v201(constB133)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27361,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB133) | (~v201(constB133))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27360, 27359])).
% 26.94/18.21 tff(27362,plain,
% 26.94/18.21 (~v201(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27361, 8129, 27358])).
% 26.94/18.21 tff(27363,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB133) | (~v200(constB133)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB133) | (~v200(constB133)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27364,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB133) | (~v200(constB133)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27365,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB133) | (~v200(constB133))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27364, 27363])).
% 26.94/18.21 tff(27366,plain,
% 26.94/18.21 (~v200(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27365, 8143, 27362])).
% 26.94/18.21 tff(27367,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB133) | (~v198(constB133)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB133) | (~v198(constB133)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27368,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB133) | (~v198(constB133)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27369,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB133) | (~v198(constB133))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 26.94/18.21 tff(27370,plain,
% 26.94/18.21 (~v198(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27369, 8157, 27366])).
% 26.94/18.21 tff(27371,assumption,(v18(constB134)), introduced(assumption)).
% 26.94/18.21 tff(27372,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB134))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27373,plain,
% 26.94/18.21 ($false),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27372, 8, 27371])).
% 26.94/18.21 tff(27374,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.21 tff(27375,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27376,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27377,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27376, 27375])).
% 26.94/18.21 tff(27378,plain,
% 26.94/18.21 (v22(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27377, 24, 16842])).
% 26.94/18.21 tff(27379,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27380,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27381,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27380, 27379])).
% 26.94/18.21 tff(27382,plain,
% 26.94/18.21 (v18(constB134) | (~v19(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27381, 38, 27378])).
% 26.94/18.21 tff(27383,plain,
% 26.94/18.21 (~v19(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27382, 27374])).
% 26.94/18.21 tff(27384,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27385,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27386,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 26.94/18.21 tff(27387,plain,
% 26.94/18.21 (v13(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27386, 50, 27383])).
% 26.94/18.21 tff(27388,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27389,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27390,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27389, 27388])).
% 26.94/18.21 tff(27391,plain,
% 26.94/18.21 (v9(constB133) | (~v13(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27390, 67, 16819])).
% 26.94/18.21 tff(27392,plain,
% 26.94/18.21 (v9(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27391, 27387])).
% 26.94/18.21 tff(27393,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v197(constB133))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB133) | (~v9(constB133)) | v197(constB133))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27394,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v197(constB133))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27395,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB133) | (~v9(constB133)) | v197(constB133)),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27394, 27393])).
% 26.94/18.21 tff(27396,plain,
% 26.94/18.21 ((~v9(constB133)) | v197(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27395, 85, 16703])).
% 26.94/18.21 tff(27397,plain,
% 26.94/18.21 (v197(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27396, 27392])).
% 26.94/18.21 tff(27398,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB133)) | v196(constB133))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB133)) | v196(constB133))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27399,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB133)) | v196(constB133))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27400,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB133)) | v196(constB133)),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27399, 27398])).
% 26.94/18.21 tff(27401,plain,
% 26.94/18.21 (v196(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27400, 97, 27397])).
% 26.94/18.21 tff(27402,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB133)) | (~v196(constB133)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB133)) | (~v196(constB133)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27403,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB133)) | (~v196(constB133)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27404,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB133)) | (~v196(constB133))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27403, 27402])).
% 26.94/18.21 tff(27405,plain,
% 26.94/18.21 (~v194(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27404, 108, 27401])).
% 26.94/18.21 tff(27406,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB133) | v198(constB133) | (~v191(constB133)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB133) | v198(constB133) | (~v191(constB133)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27407,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB133) | v198(constB133) | (~v191(constB133)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27408,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB133) | v198(constB133) | (~v191(constB133))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 26.94/18.21 tff(27409,plain,
% 26.94/18.21 (v198(constB133) | (~v191(constB133))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27408, 8171, 27405])).
% 26.94/18.21 tff(27410,plain,
% 26.94/18.21 (~v191(constB133)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27409, 27370])).
% 26.94/18.21 tff(27411,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27412,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27413,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB133, constB134)) | v191(constB133) | (~v193(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27412, 27411])).
% 26.94/18.21 tff(27414,plain,
% 26.94/18.21 (v191(constB133) | (~v193(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27413, 8186, 16819])).
% 26.94/18.21 tff(27415,plain,
% 26.94/18.21 (~v193(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27414, 27410])).
% 26.94/18.21 tff(27416,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB134) | (~v194(constB134)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB134) | (~v194(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27417,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB134) | (~v194(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27418,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB134) | (~v194(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27417, 27416])).
% 26.94/18.21 tff(27419,plain,
% 26.94/18.21 (~v194(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27418, 8201, 27415])).
% 26.94/18.21 tff(27420,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB134)) | (~v197(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB134)) | (~v197(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27421,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB134)) | (~v197(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27422,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB134)) | (~v197(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27421, 27420])).
% 26.94/18.21 tff(27423,plain,
% 26.94/18.21 (~v197(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27422, 8215, 16842])).
% 26.94/18.21 tff(27424,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB134) | (~v200(constB134)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB134) | (~v200(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27425,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB134) | (~v200(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27426,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB134) | (~v200(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 26.94/18.21 tff(27427,plain,
% 26.94/18.21 (~v200(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27426, 8229, 27423])).
% 26.94/18.21 tff(27428,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB134) | (~v198(constB134)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB134) | (~v198(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27429,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB134) | (~v198(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27430,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB134) | (~v198(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27429, 27428])).
% 26.94/18.21 tff(27431,plain,
% 26.94/18.21 (~v198(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27430, 8157, 27427])).
% 26.94/18.21 tff(27432,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB134) | v198(constB134) | (~v191(constB134)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB134) | v198(constB134) | (~v191(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27433,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB134) | v198(constB134) | (~v191(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27434,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB134) | v198(constB134) | (~v191(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27433, 27432])).
% 26.94/18.21 tff(27435,plain,
% 26.94/18.21 (v194(constB134) | (~v191(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27434, 8171, 27431])).
% 26.94/18.21 tff(27436,plain,
% 26.94/18.21 (~v191(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27435, 27419])).
% 26.94/18.21 tff(27437,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27438,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27439,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB134, constB135)) | v191(constB134) | (~v193(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 26.94/18.21 tff(27440,plain,
% 26.94/18.21 (v191(constB134) | (~v193(constB135))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27439, 8186, 16911])).
% 26.94/18.21 tff(27441,plain,
% 26.94/18.21 (~v193(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27440, 27436])).
% 26.94/18.21 tff(27442,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB135) | (~v194(constB135)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB135) | (~v194(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27443,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB135) | (~v194(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27444,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB135) | (~v194(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 26.94/18.21 tff(27445,plain,
% 26.94/18.21 (~v194(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27444, 8201, 27441])).
% 26.94/18.21 tff(27446,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27447,plain,
% 26.94/18.21 (((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134))) <=> (v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27448,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134))))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27447])).
% 26.94/18.21 tff(27449,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134)))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27448, 27446])).
% 26.94/18.21 tff(27450,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB133, constB134)) | v163(constB133) | (~v186(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27451,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB133) | (~nextState(constB133, constB134)) | (~v186(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 26.94/18.21 tff(27452,plain,
% 26.94/18.21 (v163(constB133) | (~v186(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27451, 19345, 16819])).
% 26.94/18.21 tff(27453,plain,
% 26.94/18.21 (~v186(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27452, 27358])).
% 26.94/18.21 tff(27454,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27455,plain,
% 26.94/18.21 (((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134)) <=> ((~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27456,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v181(constB134) | v104(constB134)))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27455])).
% 26.94/18.21 tff(27457,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB133, constB134)) | v181(constB134) | v104(constB134))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27456, 27454])).
% 26.94/18.21 tff(27458,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | v181(constB134))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27459,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB133, constB134)) | v181(constB134) | v104(constB134)),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27458, 27457])).
% 26.94/18.21 tff(27460,plain,
% 26.94/18.21 (v181(constB134) | v104(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27459, 19367, 16819])).
% 26.94/18.21 tff(27461,plain,
% 26.94/18.21 (v181(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27460, 16831])).
% 26.94/18.21 tff(27462,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27463,plain,
% 26.94/18.21 (((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134))) <=> ((~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27464,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134))))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27463])).
% 26.94/18.21 tff(27465,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134)))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27464, 27462])).
% 26.94/18.21 tff(27466,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB133, constB134)) | (~v1(constB134)) | v180(constB134) | (~v181(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27467,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB133, constB134)) | v180(constB134) | (~v1(constB134)) | (~v181(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27466, 27465])).
% 26.94/18.21 tff(27468,plain,
% 26.94/18.21 (v180(constB134) | (~v181(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27467, 19385, 16819, 16842])).
% 26.94/18.21 tff(27469,plain,
% 26.94/18.21 (v180(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27468, 27461])).
% 26.94/18.21 tff(27470,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27471,plain,
% 26.94/18.21 (((~nextState(constB133, constB134)) | (~v180(constB134)) | v179(constB134)) <=> ((~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27472,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB133, constB134)) | (~v180(constB134)) | v179(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134))))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27471])).
% 26.94/18.21 tff(27473,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB133, constB134)) | (~v180(constB134)) | v179(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134)))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27472, 27470])).
% 26.94/18.21 tff(27474,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB133, constB134)) | (~v180(constB134)) | v179(constB134))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27475,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB133, constB134)) | v179(constB134) | (~v180(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 26.94/18.21 tff(27476,plain,
% 26.94/18.21 (v179(constB134) | (~v180(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27475, 19403, 16819])).
% 26.94/18.21 tff(27477,plain,
% 26.94/18.21 (v179(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27476, 27469])).
% 26.94/18.21 tff(27478,plain,
% 26.94/18.21 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB134) | (~v159(constB134)) | (~v179(constB134)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB134) | (~v159(constB134)) | (~v179(constB134)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27479,plain,
% 26.94/18.21 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB134) | (~v159(constB134)) | (~v179(constB134)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27480,plain,
% 26.94/18.21 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB134) | (~v159(constB134)) | (~v179(constB134))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27479, 27478])).
% 26.94/18.21 tff(27481,plain,
% 26.94/18.21 (v186(constB134) | (~v159(constB134))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27480, 19421, 27477])).
% 26.94/18.21 tff(27482,plain,
% 26.94/18.21 (~v159(constB134)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27481, 27453])).
% 26.94/18.21 tff(27483,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27484,plain,
% 26.94/18.21 (((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135))) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27485,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135))))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27484])).
% 26.94/18.21 tff(27486,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135)))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27485, 27483])).
% 26.94/18.21 tff(27487,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v1(constB135) | (~v180(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27488,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v180(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27487, 27486])).
% 26.94/18.21 tff(27489,plain,
% 26.94/18.21 (~v180(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27488, 19439, 16911, 16908])).
% 26.94/18.21 tff(27490,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27491,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27492,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB134, constB135)) | v180(constB135) | (~v179(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 26.94/18.21 tff(27493,plain,
% 26.94/18.21 (v180(constB135) | (~v179(constB135))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27492, 19456, 16911])).
% 26.94/18.21 tff(27494,plain,
% 26.94/18.21 (~v179(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27493, 27489])).
% 26.94/18.21 tff(27495,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27496,plain,
% 26.94/18.21 (((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135))) <=> (v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27497,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135))))),
% 26.94/18.21 inference(monotonicity,[status(thm)],[27496])).
% 26.94/18.21 tff(27498,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135)))),
% 26.94/18.21 inference(transitivity,[status(thm)],[27497, 27495])).
% 26.94/18.21 tff(27499,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB134, constB135)) | v179(constB135) | v159(constB134) | (~v159(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27500,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB134) | (~nextState(constB134, constB135)) | v179(constB135) | (~v159(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 26.94/18.21 tff(27501,plain,
% 26.94/18.21 (v159(constB134) | v179(constB135) | (~v159(constB135))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27500, 19471, 16911])).
% 26.94/18.21 tff(27502,plain,
% 26.94/18.21 (v159(constB134) | (~v159(constB135))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27501, 27494])).
% 26.94/18.21 tff(27503,plain,
% 26.94/18.21 (~v159(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27502, 27482])).
% 26.94/18.21 tff(27504,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB135) | (~v201(constB135)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB135) | (~v201(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27505,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB135) | (~v201(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27506,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB135) | (~v201(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 26.94/18.21 tff(27507,plain,
% 26.94/18.21 (~v201(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27506, 19490, 27503])).
% 26.94/18.21 tff(27508,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB135) | (~v200(constB135)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB135) | (~v200(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27509,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB135) | (~v200(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27510,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB135) | (~v200(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27509, 27508])).
% 26.94/18.21 tff(27511,plain,
% 26.94/18.21 (~v200(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27510, 8143, 27507])).
% 26.94/18.21 tff(27512,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB135) | (~v198(constB135)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB135) | (~v198(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27513,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB135) | (~v198(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27514,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB135) | (~v198(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27513, 27512])).
% 26.94/18.21 tff(27515,plain,
% 26.94/18.21 (~v198(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27514, 8157, 27511])).
% 26.94/18.21 tff(27516,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB135) | v198(constB135) | (~v191(constB135)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB135) | v198(constB135) | (~v191(constB135)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27517,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB135) | v198(constB135) | (~v191(constB135)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27518,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB135) | v198(constB135) | (~v191(constB135))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 26.94/18.21 tff(27519,plain,
% 26.94/18.21 (v194(constB135) | (~v191(constB135))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27518, 8171, 27515])).
% 26.94/18.21 tff(27520,plain,
% 26.94/18.21 (~v191(constB135)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27519, 27445])).
% 26.94/18.21 tff(27521,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27522,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27523,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB135, constB136)) | v191(constB135) | (~v193(constB136))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27522, 27521])).
% 26.94/18.21 tff(27524,plain,
% 26.94/18.21 (v191(constB135) | (~v193(constB136))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27523, 8186, 17055])).
% 26.94/18.21 tff(27525,plain,
% 26.94/18.21 (~v193(constB136)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27524, 27520])).
% 26.94/18.21 tff(27526,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB136) | (~v194(constB136)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB136) | (~v194(constB136)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27527,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB136) | (~v194(constB136)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27528,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB136) | (~v194(constB136))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27527, 27526])).
% 26.94/18.21 tff(27529,plain,
% 26.94/18.21 (~v194(constB136)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27528, 8201, 27525])).
% 26.94/18.21 tff(27530,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB136)) | (~v197(constB136)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB136)) | (~v197(constB136)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27531,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB136)) | (~v197(constB136)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27532,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB136)) | (~v197(constB136))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27531, 27530])).
% 26.94/18.21 tff(27533,plain,
% 26.94/18.21 (~v197(constB136)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27532, 8215, 17078])).
% 26.94/18.21 tff(27534,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB136) | (~v200(constB136)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB136) | (~v200(constB136)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27535,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB136) | (~v200(constB136)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27536,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB136) | (~v200(constB136))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27535, 27534])).
% 26.94/18.21 tff(27537,plain,
% 26.94/18.21 (~v200(constB136)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27536, 8229, 27533])).
% 26.94/18.21 tff(27538,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB136) | (~v198(constB136)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB136) | (~v198(constB136)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27539,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB136) | (~v198(constB136)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27540,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB136) | (~v198(constB136))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27539, 27538])).
% 26.94/18.21 tff(27541,plain,
% 26.94/18.21 (~v198(constB136)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27540, 8157, 27537])).
% 26.94/18.21 tff(27542,plain,
% 26.94/18.21 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB136) | v198(constB136) | (~v191(constB136)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB136) | v198(constB136) | (~v191(constB136)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27543,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB136) | v198(constB136) | (~v191(constB136)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27544,plain,
% 26.94/18.21 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB136) | v198(constB136) | (~v191(constB136))),
% 26.94/18.21 inference(modus_ponens,[status(thm)],[27543, 27542])).
% 26.94/18.21 tff(27545,plain,
% 26.94/18.21 (v194(constB136) | (~v191(constB136))),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27544, 8171, 27541])).
% 26.94/18.21 tff(27546,plain,
% 26.94/18.21 (~v191(constB136)),
% 26.94/18.21 inference(unit_resolution,[status(thm)],[27545, 27529])).
% 26.94/18.21 tff(27547,plain,
% 26.94/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137)))),
% 26.94/18.21 inference(rewrite,[status(thm)],[])).
% 26.94/18.21 tff(27548,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137)))),
% 26.94/18.21 inference(quant_inst,[status(thm)],[])).
% 26.94/18.21 tff(27549,plain,
% 26.94/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB136, constB137)) | v191(constB136) | (~v193(constB137))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27548, 27547])).
% 26.94/18.22 tff(27550,plain,
% 26.94/18.22 (v191(constB136) | (~v193(constB137))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27549, 8186, 17123])).
% 26.94/18.22 tff(27551,plain,
% 26.94/18.22 (~v193(constB137)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27550, 27546])).
% 26.94/18.22 tff(27552,plain,
% 26.94/18.22 ($false),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27551, 27347])).
% 26.94/18.22 tff(27553,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.22 tff(27554,assumption,(constB4 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.22 tff(27555,plain,
% 26.94/18.22 (v1(constB4) <=> v1(sK0_VarCurr)),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27554])).
% 26.94/18.22 tff(27556,plain,
% 26.94/18.22 (v1(sK0_VarCurr) <=> v1(constB4)),
% 26.94/18.22 inference(symmetry,[status(thm)],[27555])).
% 26.94/18.22 tff(27557,plain,
% 26.94/18.22 ((~v1(sK0_VarCurr)) <=> (~v1(constB4))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27556])).
% 26.94/18.22 tff(27558,plain,
% 26.94/18.22 (~v1(constB4)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[25165, 27557])).
% 26.94/18.22 tff(27559,plain,
% 26.94/18.22 ($false),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[981, 27558])).
% 26.94/18.22 tff(27560,plain,(~(constB4 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.22 tff(27561,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.22 tff(27562,plain,
% 26.94/18.22 (v193(constB81) <=> v193(sK0_VarCurr)),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27561])).
% 26.94/18.22 tff(27563,plain,
% 26.94/18.22 (v193(sK0_VarCurr) <=> v193(constB81)),
% 26.94/18.22 inference(symmetry,[status(thm)],[27562])).
% 26.94/18.22 tff(27564,plain,
% 26.94/18.22 (v193(constB81)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[8270, 27563])).
% 26.94/18.22 tff(27565,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27566,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27567,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 26.94/18.22 tff(27568,plain,
% 26.94/18.22 (~v88(constB77, bitIndex2)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27567, 25366, 10063])).
% 26.94/18.22 tff(27569,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27570,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27571,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 26.94/18.22 tff(27572,plain,
% 26.94/18.22 (~v88(constB77, bitIndex0)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27571, 7950, 10128])).
% 26.94/18.22 tff(27573,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27574,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27575,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB77, bitIndex1)) | v88(constB77, bitIndex1)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27574, 27573])).
% 26.94/18.22 tff(27576,plain,
% 26.94/18.22 (v88(constB77, bitIndex1)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27575, 8034, 10094])).
% 26.94/18.22 tff(27577,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v143(constB77))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27578,plain,
% 26.94/18.22 ((v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77)) <=> (v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v143(constB77))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27579,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v143(constB77)))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27578])).
% 26.94/18.22 tff(27580,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v143(constB77))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27579, 27577])).
% 26.94/18.22 tff(27581,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex0) | v143(constB77))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27582,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)) | v143(constB77)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27581, 27580])).
% 26.94/18.22 tff(27583,plain,
% 26.94/18.22 (v143(constB77)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27582, 23093, 27576, 27572, 27568])).
% 26.94/18.22 tff(27584,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27585,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27586,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27585, 27584])).
% 26.94/18.22 tff(27587,plain,
% 26.94/18.22 (v142(constB77)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27586, 23075, 27583])).
% 26.94/18.22 tff(27588,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB77)) | v167(constB77))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB77)) | v167(constB77))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27589,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB77)) | v167(constB77))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27590,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB77)) | v167(constB77)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27589, 27588])).
% 26.94/18.22 tff(27591,plain,
% 26.94/18.22 (v167(constB77)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27590, 8073, 27587])).
% 26.94/18.22 tff(27592,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB77)) | (~v170(constB77)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB77)) | (~v170(constB77)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27593,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB77)) | (~v170(constB77)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27594,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB77)) | (~v170(constB77))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27593, 27592])).
% 26.94/18.22 tff(27595,plain,
% 26.94/18.22 (~v170(constB77)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27594, 8084, 27591])).
% 26.94/18.22 tff(27596,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB77) | (~v167(constB77)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB77) | (~v167(constB77)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27597,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB77) | (~v167(constB77)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27598,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB77) | (~v167(constB77))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 26.94/18.22 tff(27599,plain,
% 26.94/18.22 (v166(constB77)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27598, 8098, 27591])).
% 26.94/18.22 tff(27600,plain,
% 26.94/18.22 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB77)) | v170(constB77) | (~v166(constB77)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB77)) | v170(constB77) | (~v166(constB77)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27601,plain,
% 26.94/18.22 (((~v166(constB77)) | v170(constB77) | (~v163(constB77))) <=> ((~v163(constB77)) | v170(constB77) | (~v166(constB77)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27602,plain,
% 26.94/18.22 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB77)) | v170(constB77) | (~v163(constB77)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB77)) | v170(constB77) | (~v166(constB77))))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27601])).
% 26.94/18.22 tff(27603,plain,
% 26.94/18.22 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB77)) | v170(constB77) | (~v163(constB77)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB77)) | v170(constB77) | (~v166(constB77)))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27602, 27600])).
% 26.94/18.22 tff(27604,plain,
% 26.94/18.22 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB77)) | v170(constB77) | (~v163(constB77)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27605,plain,
% 26.94/18.22 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB77)) | v170(constB77) | (~v166(constB77))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27604, 27603])).
% 26.94/18.22 tff(27606,plain,
% 26.94/18.22 (~v163(constB77)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27605, 8112, 27599, 27595])).
% 26.94/18.22 tff(27607,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27608,plain,
% 26.94/18.22 (((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78))) <=> (v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27609,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78))))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27608])).
% 26.94/18.22 tff(27610,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78)))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27609, 27607])).
% 26.94/18.22 tff(27611,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB77, constB78)) | v163(constB77) | (~v186(constB78)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27612,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB77) | (~nextState(constB77, constB78)) | (~v186(constB78))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27611, 27610])).
% 26.94/18.22 tff(27613,plain,
% 26.94/18.22 (v163(constB77) | (~v186(constB78))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27612, 19345, 10183])).
% 26.94/18.22 tff(27614,plain,
% 26.94/18.22 (~v186(constB78)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27613, 27606])).
% 26.94/18.22 tff(27615,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27616,plain,
% 26.94/18.22 (((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78)) <=> ((~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27617,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v181(constB78) | v104(constB78)))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27616])).
% 26.94/18.22 tff(27618,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB77, constB78)) | v181(constB78) | v104(constB78))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27617, 27615])).
% 26.94/18.22 tff(27619,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | v181(constB78))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27620,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB77, constB78)) | v181(constB78) | v104(constB78)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27619, 27618])).
% 26.94/18.22 tff(27621,plain,
% 26.94/18.22 (v181(constB78) | v104(constB78)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27620, 19367, 10183])).
% 26.94/18.22 tff(27622,plain,
% 26.94/18.22 (v181(constB78)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27621, 10195])).
% 26.94/18.22 tff(27623,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27624,plain,
% 26.94/18.22 (((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78))) <=> ((~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27625,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78))))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27624])).
% 26.94/18.22 tff(27626,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78)))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27625, 27623])).
% 26.94/18.22 tff(27627,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB77, constB78)) | (~v1(constB78)) | v180(constB78) | (~v181(constB78)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27628,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB77, constB78)) | v180(constB78) | (~v1(constB78)) | (~v181(constB78))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27627, 27626])).
% 26.94/18.22 tff(27629,plain,
% 26.94/18.22 (v180(constB78) | (~v181(constB78))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27628, 19385, 10183, 10206])).
% 26.94/18.22 tff(27630,plain,
% 26.94/18.22 (v180(constB78)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27629, 27622])).
% 26.94/18.22 tff(27631,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27632,plain,
% 26.94/18.22 (((~nextState(constB77, constB78)) | (~v180(constB78)) | v179(constB78)) <=> ((~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27633,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB77, constB78)) | (~v180(constB78)) | v179(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78))))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27632])).
% 26.94/18.22 tff(27634,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB77, constB78)) | (~v180(constB78)) | v179(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78)))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27633, 27631])).
% 26.94/18.22 tff(27635,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB77, constB78)) | (~v180(constB78)) | v179(constB78))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27636,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB77, constB78)) | v179(constB78) | (~v180(constB78))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27635, 27634])).
% 26.94/18.22 tff(27637,plain,
% 26.94/18.22 (v179(constB78) | (~v180(constB78))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27636, 19403, 10183])).
% 26.94/18.22 tff(27638,plain,
% 26.94/18.22 (v179(constB78)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27637, 27630])).
% 26.94/18.22 tff(27639,plain,
% 26.94/18.22 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB78) | (~v159(constB78)) | (~v179(constB78)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB78) | (~v159(constB78)) | (~v179(constB78)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27640,plain,
% 26.94/18.22 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB78) | (~v159(constB78)) | (~v179(constB78)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27641,plain,
% 26.94/18.22 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB78) | (~v159(constB78)) | (~v179(constB78))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27640, 27639])).
% 26.94/18.22 tff(27642,plain,
% 26.94/18.22 (v186(constB78) | (~v159(constB78))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27641, 19421, 27638])).
% 26.94/18.22 tff(27643,plain,
% 26.94/18.22 (~v159(constB78)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27642, 27614])).
% 26.94/18.22 tff(27644,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27645,plain,
% 26.94/18.22 (((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79))) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27646,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79))))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27645])).
% 26.94/18.22 tff(27647,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79)))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27646, 27644])).
% 26.94/18.22 tff(27648,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v1(constB79) | (~v180(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27649,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v180(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 26.94/18.22 tff(27650,plain,
% 26.94/18.22 (~v180(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27649, 19439, 10251, 10248])).
% 26.94/18.22 tff(27651,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27652,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27653,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB78, constB79)) | v180(constB79) | (~v179(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27652, 27651])).
% 26.94/18.22 tff(27654,plain,
% 26.94/18.22 (v180(constB79) | (~v179(constB79))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27653, 19456, 10251])).
% 26.94/18.22 tff(27655,plain,
% 26.94/18.22 (~v179(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27654, 27650])).
% 26.94/18.22 tff(27656,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27657,plain,
% 26.94/18.22 (((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79))) <=> (v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27658,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79))))),
% 26.94/18.22 inference(monotonicity,[status(thm)],[27657])).
% 26.94/18.22 tff(27659,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79)))),
% 26.94/18.22 inference(transitivity,[status(thm)],[27658, 27656])).
% 26.94/18.22 tff(27660,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB78, constB79)) | v179(constB79) | v159(constB78) | (~v159(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27661,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB78) | (~nextState(constB78, constB79)) | v179(constB79) | (~v159(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27660, 27659])).
% 26.94/18.22 tff(27662,plain,
% 26.94/18.22 (v159(constB78) | v179(constB79) | (~v159(constB79))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27661, 19471, 10251])).
% 26.94/18.22 tff(27663,plain,
% 26.94/18.22 (v159(constB78) | (~v159(constB79))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27662, 27655])).
% 26.94/18.22 tff(27664,plain,
% 26.94/18.22 (~v159(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27663, 27643])).
% 26.94/18.22 tff(27665,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB79) | (~v201(constB79)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB79) | (~v201(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27666,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB79) | (~v201(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27667,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB79) | (~v201(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27666, 27665])).
% 26.94/18.22 tff(27668,plain,
% 26.94/18.22 (~v201(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27667, 19490, 27664])).
% 26.94/18.22 tff(27669,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB79) | (~v200(constB79)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB79) | (~v200(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27670,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB79) | (~v200(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27671,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB79) | (~v200(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27670, 27669])).
% 26.94/18.22 tff(27672,plain,
% 26.94/18.22 (~v200(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27671, 8143, 27668])).
% 26.94/18.22 tff(27673,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB79) | (~v198(constB79)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB79) | (~v198(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27674,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB79) | (~v198(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27675,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB79) | (~v198(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27674, 27673])).
% 26.94/18.22 tff(27676,plain,
% 26.94/18.22 (~v198(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27675, 8157, 27672])).
% 26.94/18.22 tff(27677,assumption,(v18(constB80)), introduced(assumption)).
% 26.94/18.22 tff(27678,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB80))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27679,plain,
% 26.94/18.22 ($false),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27678, 8, 27677])).
% 26.94/18.22 tff(27680,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.22 tff(27681,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27682,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27683,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27682, 27681])).
% 26.94/18.22 tff(27684,plain,
% 26.94/18.22 (v22(constB80)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27683, 24, 10402])).
% 26.94/18.22 tff(27685,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27686,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27687,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 26.94/18.22 tff(27688,plain,
% 26.94/18.22 (v18(constB80) | (~v19(constB80))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27687, 38, 27684])).
% 26.94/18.22 tff(27689,plain,
% 26.94/18.22 (~v19(constB80)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27688, 27680])).
% 26.94/18.22 tff(27690,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27691,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27692,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27691, 27690])).
% 26.94/18.22 tff(27693,plain,
% 26.94/18.22 (v13(constB80)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27692, 50, 27689])).
% 26.94/18.22 tff(27694,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27695,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27696,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 26.94/18.22 tff(27697,plain,
% 26.94/18.22 (v9(constB79) | (~v13(constB80))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27696, 67, 10379])).
% 26.94/18.22 tff(27698,plain,
% 26.94/18.22 (v9(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27697, 27693])).
% 26.94/18.22 tff(27699,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v197(constB79))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB79) | (~v9(constB79)) | v197(constB79))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27700,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v197(constB79))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27701,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB79) | (~v9(constB79)) | v197(constB79)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 26.94/18.22 tff(27702,plain,
% 26.94/18.22 ((~v9(constB79)) | v197(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27701, 85, 10248])).
% 26.94/18.22 tff(27703,plain,
% 26.94/18.22 (v197(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27702, 27698])).
% 26.94/18.22 tff(27704,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB79)) | v196(constB79))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB79)) | v196(constB79))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27705,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB79)) | v196(constB79))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27706,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB79)) | v196(constB79)),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27705, 27704])).
% 26.94/18.22 tff(27707,plain,
% 26.94/18.22 (v196(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27706, 97, 27703])).
% 26.94/18.22 tff(27708,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB79)) | (~v196(constB79)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB79)) | (~v196(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27709,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB79)) | (~v196(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27710,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB79)) | (~v196(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27709, 27708])).
% 26.94/18.22 tff(27711,plain,
% 26.94/18.22 (~v194(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27710, 108, 27707])).
% 26.94/18.22 tff(27712,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB79) | v198(constB79) | (~v191(constB79)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB79) | v198(constB79) | (~v191(constB79)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27713,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB79) | v198(constB79) | (~v191(constB79)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27714,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB79) | v198(constB79) | (~v191(constB79))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27713, 27712])).
% 26.94/18.22 tff(27715,plain,
% 26.94/18.22 (v198(constB79) | (~v191(constB79))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27714, 8171, 27711])).
% 26.94/18.22 tff(27716,plain,
% 26.94/18.22 (~v191(constB79)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27715, 27676])).
% 26.94/18.22 tff(27717,plain,
% 26.94/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27718,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27719,plain,
% 26.94/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB79, constB80)) | v191(constB79) | (~v193(constB80))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27718, 27717])).
% 26.94/18.22 tff(27720,plain,
% 26.94/18.22 (v191(constB79) | (~v193(constB80))),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27719, 8186, 10379])).
% 26.94/18.22 tff(27721,plain,
% 26.94/18.22 (~v193(constB80)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27720, 27716])).
% 26.94/18.22 tff(27722,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB80) | (~v194(constB80)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB80) | (~v194(constB80)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27723,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB80) | (~v194(constB80)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27724,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB80) | (~v194(constB80))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27723, 27722])).
% 26.94/18.22 tff(27725,plain,
% 26.94/18.22 (~v194(constB80)),
% 26.94/18.22 inference(unit_resolution,[status(thm)],[27724, 8201, 27721])).
% 26.94/18.22 tff(27726,plain,
% 26.94/18.22 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB80)) | (~v197(constB80)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB80)) | (~v197(constB80)))),
% 26.94/18.22 inference(rewrite,[status(thm)],[])).
% 26.94/18.22 tff(27727,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB80)) | (~v197(constB80)))),
% 26.94/18.22 inference(quant_inst,[status(thm)],[])).
% 26.94/18.22 tff(27728,plain,
% 26.94/18.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB80)) | (~v197(constB80))),
% 26.94/18.22 inference(modus_ponens,[status(thm)],[27727, 27726])).
% 26.94/18.23 tff(27729,plain,
% 26.94/18.23 (~v197(constB80)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27728, 8215, 10402])).
% 26.94/18.23 tff(27730,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB80) | (~v200(constB80)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB80) | (~v200(constB80)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27731,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB80) | (~v200(constB80)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27732,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB80) | (~v200(constB80))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27731, 27730])).
% 26.94/18.23 tff(27733,plain,
% 26.94/18.23 (~v200(constB80)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27732, 8229, 27729])).
% 26.94/18.23 tff(27734,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB80) | (~v198(constB80)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB80) | (~v198(constB80)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27735,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB80) | (~v198(constB80)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27736,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB80) | (~v198(constB80))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27735, 27734])).
% 26.94/18.23 tff(27737,plain,
% 26.94/18.23 (~v198(constB80)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27736, 8157, 27733])).
% 26.94/18.23 tff(27738,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB80) | v198(constB80) | (~v191(constB80)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB80) | v198(constB80) | (~v191(constB80)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27739,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB80) | v198(constB80) | (~v191(constB80)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27740,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB80) | v198(constB80) | (~v191(constB80))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 26.94/18.23 tff(27741,plain,
% 26.94/18.23 (v194(constB80) | (~v191(constB80))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27740, 8171, 27737])).
% 26.94/18.23 tff(27742,plain,
% 26.94/18.23 (~v191(constB80)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27741, 27725])).
% 26.94/18.23 tff(27743,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27744,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27745,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB80, constB81)) | v191(constB80) | (~v193(constB81))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27744, 27743])).
% 26.94/18.23 tff(27746,plain,
% 26.94/18.23 (v191(constB80) | (~v193(constB81))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27745, 8186, 10447])).
% 26.94/18.23 tff(27747,plain,
% 26.94/18.23 (~v193(constB81)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27746, 27742])).
% 26.94/18.23 tff(27748,plain,
% 26.94/18.23 ($false),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27747, 27564])).
% 26.94/18.23 tff(27749,plain,(~(constB81 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.23 tff(27750,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.23 tff(27751,plain,
% 26.94/18.23 (v193(constB0) <=> v193(sK0_VarCurr)),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27750])).
% 26.94/18.23 tff(27752,plain,
% 26.94/18.23 (v193(sK0_VarCurr) <=> v193(constB0)),
% 26.94/18.23 inference(symmetry,[status(thm)],[27751])).
% 26.94/18.23 tff(27753,plain,
% 26.94/18.23 (v193(constB0)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[8270, 27752])).
% 26.94/18.23 tff(27754,plain,
% 26.94/18.23 ($false),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[25497, 27753])).
% 26.94/18.23 tff(27755,plain,(~(constB0 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.23 tff(27756,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.23 tff(27757,plain,
% 26.94/18.23 (v1(constB56) <=> v1(sK0_VarCurr)),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27756])).
% 26.94/18.23 tff(27758,plain,
% 26.94/18.23 (v1(sK0_VarCurr) <=> v1(constB56)),
% 26.94/18.23 inference(symmetry,[status(thm)],[27757])).
% 26.94/18.23 tff(27759,plain,
% 26.94/18.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27758])).
% 26.94/18.23 tff(27760,plain,
% 26.94/18.23 (~v1(constB56)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[25165, 27759])).
% 26.94/18.23 tff(27761,plain,
% 26.94/18.23 ($false),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[7431, 27760])).
% 26.94/18.23 tff(27762,plain,(~(constB56 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.23 tff(27763,assumption,(constB33 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.23 tff(27764,plain,
% 26.94/18.23 (v193(constB33) <=> v193(sK0_VarCurr)),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27763])).
% 26.94/18.23 tff(27765,plain,
% 26.94/18.23 (v193(sK0_VarCurr) <=> v193(constB33)),
% 26.94/18.23 inference(symmetry,[status(thm)],[27764])).
% 26.94/18.23 tff(27766,plain,
% 26.94/18.23 (v193(constB33)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[8270, 27765])).
% 26.94/18.23 tff(27767,plain,
% 26.94/18.23 (~v90(constB29, bitIndex2)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[4063, 3978])).
% 26.94/18.23 tff(27768,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27769,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27770,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27769, 27768])).
% 26.94/18.23 tff(27771,plain,
% 26.94/18.23 (~v88(constB29, bitIndex2)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27770, 25366, 27767])).
% 26.94/18.23 tff(27772,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27773,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27774,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27773, 27772])).
% 26.94/18.23 tff(27775,plain,
% 26.94/18.23 (~v88(constB29, bitIndex0)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27774, 7950, 4044])).
% 26.94/18.23 tff(27776,plain,
% 26.94/18.23 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[4166, 1105, 3992])).
% 26.94/18.23 tff(27777,plain,
% 26.94/18.23 (v90(constB28, bitIndex1)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27776, 3956])).
% 26.94/18.23 tff(27778,plain,
% 26.94/18.23 (v90(constB29, bitIndex1)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[4078, 27777])).
% 26.94/18.23 tff(27779,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27780,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27781,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 26.94/18.23 tff(27782,plain,
% 26.94/18.23 (v88(constB29, bitIndex1)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27781, 8034, 27778])).
% 26.94/18.23 tff(27783,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v143(constB29))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27784,plain,
% 26.94/18.23 ((v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29)) <=> (v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v143(constB29))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27785,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v143(constB29)))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27784])).
% 26.94/18.23 tff(27786,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v143(constB29))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27785, 27783])).
% 26.94/18.23 tff(27787,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27788,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v143(constB29)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27787, 27786])).
% 26.94/18.23 tff(27789,plain,
% 26.94/18.23 (v143(constB29)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27788, 23093, 27782, 27775, 27771])).
% 26.94/18.23 tff(27790,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB29)) | v142(constB29))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27791,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27792,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB29)) | v142(constB29)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27791, 27790])).
% 26.94/18.23 tff(27793,plain,
% 26.94/18.23 (v142(constB29)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27792, 23075, 27789])).
% 26.94/18.23 tff(27794,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB29) | (~v142(constB29)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27795,plain,
% 26.94/18.23 (((~v142(constB29)) | v167(constB29)) <=> (v167(constB29) | (~v142(constB29)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27796,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB29)) | v167(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB29) | (~v142(constB29))))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27795])).
% 26.94/18.23 tff(27797,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB29)) | v167(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB29) | (~v142(constB29)))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27796, 27794])).
% 26.94/18.23 tff(27798,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB29)) | v167(constB29))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27799,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB29) | (~v142(constB29))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27798, 27797])).
% 26.94/18.23 tff(27800,plain,
% 26.94/18.23 (v167(constB29)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27799, 8073, 27793])).
% 26.94/18.23 tff(27801,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB29)) | (~v170(constB29)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB29)) | (~v170(constB29)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27802,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB29)) | (~v170(constB29)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27803,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB29)) | (~v170(constB29))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27802, 27801])).
% 26.94/18.23 tff(27804,plain,
% 26.94/18.23 (~v170(constB29)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27803, 8084, 27800])).
% 26.94/18.23 tff(27805,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB29) | (~v167(constB29)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB29) | (~v167(constB29)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27806,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB29) | (~v167(constB29)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27807,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB29) | (~v167(constB29))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27806, 27805])).
% 26.94/18.23 tff(27808,plain,
% 26.94/18.23 (v166(constB29)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27807, 8098, 27800])).
% 26.94/18.23 tff(27809,plain,
% 26.94/18.23 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB29)) | (~v166(constB29)) | v170(constB29))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB29)) | (~v166(constB29)) | v170(constB29))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27810,plain,
% 26.94/18.23 (((~v166(constB29)) | v170(constB29) | (~v163(constB29))) <=> ((~v163(constB29)) | (~v166(constB29)) | v170(constB29))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27811,plain,
% 26.94/18.23 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB29)) | v170(constB29) | (~v163(constB29)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB29)) | (~v166(constB29)) | v170(constB29)))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27810])).
% 26.94/18.23 tff(27812,plain,
% 26.94/18.23 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB29)) | v170(constB29) | (~v163(constB29)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB29)) | (~v166(constB29)) | v170(constB29))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27811, 27809])).
% 26.94/18.23 tff(27813,plain,
% 26.94/18.23 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB29)) | v170(constB29) | (~v163(constB29)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27814,plain,
% 26.94/18.23 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB29)) | (~v166(constB29)) | v170(constB29)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 26.94/18.23 tff(27815,plain,
% 26.94/18.23 (~v163(constB29)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27814, 8112, 27808, 27804])).
% 26.94/18.23 tff(27816,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB29) | (~nextState(constB29, constB30)) | (~v186(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB29) | (~nextState(constB29, constB30)) | (~v186(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27817,plain,
% 26.94/18.23 (((~nextState(constB29, constB30)) | v163(constB29) | (~v186(constB30))) <=> (v163(constB29) | (~nextState(constB29, constB30)) | (~v186(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27818,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB29, constB30)) | v163(constB29) | (~v186(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB29) | (~nextState(constB29, constB30)) | (~v186(constB30))))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27817])).
% 26.94/18.23 tff(27819,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB29, constB30)) | v163(constB29) | (~v186(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB29) | (~nextState(constB29, constB30)) | (~v186(constB30)))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27818, 27816])).
% 26.94/18.23 tff(27820,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB29, constB30)) | v163(constB29) | (~v186(constB30)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27821,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB29) | (~nextState(constB29, constB30)) | (~v186(constB30))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27820, 27819])).
% 26.94/18.23 tff(27822,plain,
% 26.94/18.23 (v163(constB29) | (~v186(constB30))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27821, 19345, 4220])).
% 26.94/18.23 tff(27823,plain,
% 26.94/18.23 (~v186(constB30)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27822, 27815])).
% 26.94/18.23 tff(27824,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB29, constB30)) | v181(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB29, constB30)) | v181(constB30) | v104(constB30))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27825,plain,
% 26.94/18.23 (((~nextState(constB29, constB30)) | v104(constB30) | v181(constB30)) <=> ((~nextState(constB29, constB30)) | v181(constB30) | v104(constB30))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27826,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v181(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB29, constB30)) | v181(constB30) | v104(constB30)))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27825])).
% 26.94/18.23 tff(27827,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v181(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB29, constB30)) | v181(constB30) | v104(constB30))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27826, 27824])).
% 26.94/18.23 tff(27828,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | v181(constB30))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27829,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB29, constB30)) | v181(constB30) | v104(constB30)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27828, 27827])).
% 26.94/18.23 tff(27830,plain,
% 26.94/18.23 (v181(constB30) | v104(constB30)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27829, 19367, 4220])).
% 26.94/18.23 tff(27831,plain,
% 26.94/18.23 (v181(constB30)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27830, 4232])).
% 26.94/18.23 tff(27832,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB29, constB30)) | v180(constB30) | (~v1(constB30)) | (~v181(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB29, constB30)) | v180(constB30) | (~v1(constB30)) | (~v181(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27833,plain,
% 26.94/18.23 (((~nextState(constB29, constB30)) | (~v1(constB30)) | v180(constB30) | (~v181(constB30))) <=> ((~nextState(constB29, constB30)) | v180(constB30) | (~v1(constB30)) | (~v181(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27834,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v180(constB30) | (~v181(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB29, constB30)) | v180(constB30) | (~v1(constB30)) | (~v181(constB30))))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27833])).
% 26.94/18.23 tff(27835,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v180(constB30) | (~v181(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB29, constB30)) | v180(constB30) | (~v1(constB30)) | (~v181(constB30)))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27834, 27832])).
% 26.94/18.23 tff(27836,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB29, constB30)) | (~v1(constB30)) | v180(constB30) | (~v181(constB30)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27837,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB29, constB30)) | v180(constB30) | (~v1(constB30)) | (~v181(constB30))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27836, 27835])).
% 26.94/18.23 tff(27838,plain,
% 26.94/18.23 (v180(constB30) | (~v181(constB30))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27837, 19385, 4220, 4243])).
% 26.94/18.23 tff(27839,plain,
% 26.94/18.23 (v180(constB30)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27838, 27831])).
% 26.94/18.23 tff(27840,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB29, constB30)) | v179(constB30) | (~v180(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB29, constB30)) | v179(constB30) | (~v180(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27841,plain,
% 26.94/18.23 (((~nextState(constB29, constB30)) | (~v180(constB30)) | v179(constB30)) <=> ((~nextState(constB29, constB30)) | v179(constB30) | (~v180(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27842,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB29, constB30)) | (~v180(constB30)) | v179(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB29, constB30)) | v179(constB30) | (~v180(constB30))))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27841])).
% 26.94/18.23 tff(27843,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB29, constB30)) | (~v180(constB30)) | v179(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB29, constB30)) | v179(constB30) | (~v180(constB30)))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27842, 27840])).
% 26.94/18.23 tff(27844,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB29, constB30)) | (~v180(constB30)) | v179(constB30))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27845,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB29, constB30)) | v179(constB30) | (~v180(constB30))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 26.94/18.23 tff(27846,plain,
% 26.94/18.23 (v179(constB30) | (~v180(constB30))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27845, 19403, 4220])).
% 26.94/18.23 tff(27847,plain,
% 26.94/18.23 (v179(constB30)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27846, 27839])).
% 26.94/18.23 tff(27848,plain,
% 26.94/18.23 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB30) | (~v159(constB30)) | (~v179(constB30)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB30) | (~v159(constB30)) | (~v179(constB30)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27849,plain,
% 26.94/18.23 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB30) | (~v159(constB30)) | (~v179(constB30)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27850,plain,
% 26.94/18.23 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB30) | (~v159(constB30)) | (~v179(constB30))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 26.94/18.23 tff(27851,plain,
% 26.94/18.23 (v186(constB30) | (~v159(constB30))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27850, 19421, 27847])).
% 26.94/18.23 tff(27852,plain,
% 26.94/18.23 (~v159(constB30)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27851, 27823])).
% 26.94/18.23 tff(27853,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v180(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v180(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27854,plain,
% 26.94/18.23 (((~nextState(constB30, constB31)) | v1(constB31) | (~v180(constB31))) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v180(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27855,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v1(constB31) | (~v180(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v180(constB31))))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27854])).
% 26.94/18.23 tff(27856,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v1(constB31) | (~v180(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v180(constB31)))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27855, 27853])).
% 26.94/18.23 tff(27857,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v1(constB31) | (~v180(constB31)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27858,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v180(constB31))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27857, 27856])).
% 26.94/18.23 tff(27859,plain,
% 26.94/18.23 (~v180(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27858, 19439, 4288, 4285])).
% 26.94/18.23 tff(27860,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB30, constB31)) | v180(constB31) | (~v179(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB30, constB31)) | v180(constB31) | (~v179(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27861,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB30, constB31)) | v180(constB31) | (~v179(constB31)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27862,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB30, constB31)) | v180(constB31) | (~v179(constB31))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 26.94/18.23 tff(27863,plain,
% 26.94/18.23 (v180(constB31) | (~v179(constB31))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27862, 19456, 4288])).
% 26.94/18.23 tff(27864,plain,
% 26.94/18.23 (~v179(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27863, 27859])).
% 26.94/18.23 tff(27865,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB30) | (~nextState(constB30, constB31)) | v179(constB31) | (~v159(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB30) | (~nextState(constB30, constB31)) | v179(constB31) | (~v159(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27866,plain,
% 26.94/18.23 (((~nextState(constB30, constB31)) | v179(constB31) | v159(constB30) | (~v159(constB31))) <=> (v159(constB30) | (~nextState(constB30, constB31)) | v179(constB31) | (~v159(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27867,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB30, constB31)) | v179(constB31) | v159(constB30) | (~v159(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB30) | (~nextState(constB30, constB31)) | v179(constB31) | (~v159(constB31))))),
% 26.94/18.23 inference(monotonicity,[status(thm)],[27866])).
% 26.94/18.23 tff(27868,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB30, constB31)) | v179(constB31) | v159(constB30) | (~v159(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB30) | (~nextState(constB30, constB31)) | v179(constB31) | (~v159(constB31)))),
% 26.94/18.23 inference(transitivity,[status(thm)],[27867, 27865])).
% 26.94/18.23 tff(27869,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB30, constB31)) | v179(constB31) | v159(constB30) | (~v159(constB31)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27870,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB30) | (~nextState(constB30, constB31)) | v179(constB31) | (~v159(constB31))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27869, 27868])).
% 26.94/18.23 tff(27871,plain,
% 26.94/18.23 (v159(constB30) | v179(constB31) | (~v159(constB31))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27870, 19471, 4288])).
% 26.94/18.23 tff(27872,plain,
% 26.94/18.23 (v159(constB30) | (~v159(constB31))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27871, 27864])).
% 26.94/18.23 tff(27873,plain,
% 26.94/18.23 (~v159(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27872, 27852])).
% 26.94/18.23 tff(27874,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB31) | (~v201(constB31)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB31) | (~v201(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27875,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB31) | (~v201(constB31)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27876,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB31) | (~v201(constB31))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27875, 27874])).
% 26.94/18.23 tff(27877,plain,
% 26.94/18.23 (~v201(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27876, 19490, 27873])).
% 26.94/18.23 tff(27878,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB31) | (~v200(constB31)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB31) | (~v200(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27879,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB31) | (~v200(constB31)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27880,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB31) | (~v200(constB31))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27879, 27878])).
% 26.94/18.23 tff(27881,plain,
% 26.94/18.23 (~v200(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27880, 8143, 27877])).
% 26.94/18.23 tff(27882,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB31) | (~v198(constB31)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB31) | (~v198(constB31)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27883,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB31) | (~v198(constB31)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27884,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB31) | (~v198(constB31))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27883, 27882])).
% 26.94/18.23 tff(27885,plain,
% 26.94/18.23 (~v198(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27884, 8157, 27881])).
% 26.94/18.23 tff(27886,assumption,(v18(constB32)), introduced(assumption)).
% 26.94/18.23 tff(27887,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB32))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27888,plain,
% 26.94/18.23 ($false),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27887, 8, 27886])).
% 26.94/18.23 tff(27889,plain,(~v18(constB32)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.23 tff(27890,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27891,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27892,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27891, 27890])).
% 26.94/18.23 tff(27893,plain,
% 26.94/18.23 (v22(constB32)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27892, 24, 4490])).
% 26.94/18.23 tff(27894,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27895,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27896,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 26.94/18.23 tff(27897,plain,
% 26.94/18.23 (v18(constB32) | (~v19(constB32))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27896, 38, 27893])).
% 26.94/18.23 tff(27898,plain,
% 26.94/18.23 (~v19(constB32)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27897, 27889])).
% 26.94/18.23 tff(27899,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27900,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27901,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27900, 27899])).
% 26.94/18.23 tff(27902,plain,
% 26.94/18.23 (v13(constB32)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27901, 50, 27898])).
% 26.94/18.23 tff(27903,plain,
% 26.94/18.23 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27904,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27905,plain,
% 26.94/18.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32))),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27904, 27903])).
% 26.94/18.23 tff(27906,plain,
% 26.94/18.23 (v9(constB31) | (~v13(constB32))),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27905, 67, 4467])).
% 26.94/18.23 tff(27907,plain,
% 26.94/18.23 (v9(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27906, 27902])).
% 26.94/18.23 tff(27908,plain,
% 26.94/18.23 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v197(constB31))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB31) | (~v9(constB31)) | v197(constB31))),
% 26.94/18.23 inference(rewrite,[status(thm)],[])).
% 26.94/18.23 tff(27909,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v197(constB31))),
% 26.94/18.23 inference(quant_inst,[status(thm)],[])).
% 26.94/18.23 tff(27910,plain,
% 26.94/18.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB31) | (~v9(constB31)) | v197(constB31)),
% 26.94/18.23 inference(modus_ponens,[status(thm)],[27909, 27908])).
% 26.94/18.23 tff(27911,plain,
% 26.94/18.23 ((~v9(constB31)) | v197(constB31)),
% 26.94/18.23 inference(unit_resolution,[status(thm)],[27910, 85, 4285])).
% 26.94/18.23 tff(27912,plain,
% 26.94/18.23 (v197(constB31)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27911, 27907])).
% 26.94/18.24 tff(27913,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB31)) | v196(constB31))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB31)) | v196(constB31))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27914,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB31)) | v196(constB31))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27915,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB31)) | v196(constB31)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27914, 27913])).
% 26.94/18.24 tff(27916,plain,
% 26.94/18.24 (v196(constB31)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27915, 97, 27912])).
% 26.94/18.24 tff(27917,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB31)) | (~v196(constB31)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB31)) | (~v196(constB31)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27918,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB31)) | (~v196(constB31)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27919,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB31)) | (~v196(constB31))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 26.94/18.24 tff(27920,plain,
% 26.94/18.24 (~v194(constB31)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27919, 108, 27916])).
% 26.94/18.24 tff(27921,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB31) | v198(constB31) | (~v191(constB31)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB31) | v198(constB31) | (~v191(constB31)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27922,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB31) | v198(constB31) | (~v191(constB31)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27923,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB31) | v198(constB31) | (~v191(constB31))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27922, 27921])).
% 26.94/18.24 tff(27924,plain,
% 26.94/18.24 (v198(constB31) | (~v191(constB31))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27923, 8171, 27920])).
% 26.94/18.24 tff(27925,plain,
% 26.94/18.24 (~v191(constB31)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27924, 27885])).
% 26.94/18.24 tff(27926,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB31, constB32)) | v191(constB31) | (~v193(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB31, constB32)) | v191(constB31) | (~v193(constB32)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27927,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB31, constB32)) | v191(constB31) | (~v193(constB32)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27928,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB31, constB32)) | v191(constB31) | (~v193(constB32))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27927, 27926])).
% 26.94/18.24 tff(27929,plain,
% 26.94/18.24 (v191(constB31) | (~v193(constB32))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27928, 8186, 4467])).
% 26.94/18.24 tff(27930,plain,
% 26.94/18.24 (~v193(constB32)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27929, 27925])).
% 26.94/18.24 tff(27931,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB32) | (~v194(constB32)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB32) | (~v194(constB32)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27932,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB32) | (~v194(constB32)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27933,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB32) | (~v194(constB32))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27932, 27931])).
% 26.94/18.24 tff(27934,plain,
% 26.94/18.24 (~v194(constB32)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27933, 8201, 27930])).
% 26.94/18.24 tff(27935,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB32)) | (~v197(constB32)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB32)) | (~v197(constB32)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27936,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB32)) | (~v197(constB32)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27937,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB32)) | (~v197(constB32))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27936, 27935])).
% 26.94/18.24 tff(27938,plain,
% 26.94/18.24 (~v197(constB32)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27937, 8215, 4490])).
% 26.94/18.24 tff(27939,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB32) | (~v200(constB32)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB32) | (~v200(constB32)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27940,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB32) | (~v200(constB32)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27941,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB32) | (~v200(constB32))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 26.94/18.24 tff(27942,plain,
% 26.94/18.24 (~v200(constB32)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27941, 8229, 27938])).
% 26.94/18.24 tff(27943,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB32) | (~v198(constB32)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB32) | (~v198(constB32)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27944,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB32) | (~v198(constB32)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27945,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB32) | (~v198(constB32))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 26.94/18.24 tff(27946,plain,
% 26.94/18.24 (~v198(constB32)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27945, 8157, 27942])).
% 26.94/18.24 tff(27947,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB32) | v198(constB32) | (~v191(constB32)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB32) | v198(constB32) | (~v191(constB32)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27948,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB32) | v198(constB32) | (~v191(constB32)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27949,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB32) | v198(constB32) | (~v191(constB32))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 26.94/18.24 tff(27950,plain,
% 26.94/18.24 (v194(constB32) | (~v191(constB32))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27949, 8171, 27946])).
% 26.94/18.24 tff(27951,plain,
% 26.94/18.24 (~v191(constB32)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27950, 27934])).
% 26.94/18.24 tff(27952,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB32, constB33)) | v191(constB32) | (~v193(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB32, constB33)) | v191(constB32) | (~v193(constB33)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27953,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB32, constB33)) | v191(constB32) | (~v193(constB33)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27954,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB32, constB33)) | v191(constB32) | (~v193(constB33))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27953, 27952])).
% 26.94/18.24 tff(27955,plain,
% 26.94/18.24 (v191(constB32) | (~v193(constB33))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27954, 8186, 4535])).
% 26.94/18.24 tff(27956,plain,
% 26.94/18.24 (~v193(constB33)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27955, 27951])).
% 26.94/18.24 tff(27957,plain,
% 26.94/18.24 ($false),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27956, 27766])).
% 26.94/18.24 tff(27958,plain,(~(constB33 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.24 tff(27959,assumption,(constB131 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.24 tff(27960,plain,
% 26.94/18.24 (v193(constB131) <=> v193(sK0_VarCurr)),
% 26.94/18.24 inference(monotonicity,[status(thm)],[27959])).
% 26.94/18.24 tff(27961,plain,
% 26.94/18.24 (v193(sK0_VarCurr) <=> v193(constB131)),
% 26.94/18.24 inference(symmetry,[status(thm)],[27960])).
% 26.94/18.24 tff(27962,plain,
% 26.94/18.24 (v193(constB131)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[8270, 27961])).
% 26.94/18.24 tff(27963,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB127, bitIndex2)) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB127, bitIndex2)) | v90(constB127, bitIndex2))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27964,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB127, bitIndex2)) | v90(constB127, bitIndex2))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27965,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB127, bitIndex2)) | v90(constB127, bitIndex2)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 26.94/18.24 tff(27966,plain,
% 26.94/18.24 (~v88(constB127, bitIndex2)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27965, 25366, 16058])).
% 26.94/18.24 tff(27967,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27968,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27969,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27968, 27967])).
% 26.94/18.24 tff(27970,plain,
% 26.94/18.24 (v88(constB127, bitIndex1)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27969, 8034, 16089])).
% 26.94/18.24 tff(27971,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27972,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27973,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 26.94/18.24 tff(27974,plain,
% 26.94/18.24 (v88(constB127, bitIndex0)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27973, 26352, 16120])).
% 26.94/18.24 tff(27975,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB127, bitIndex0)) | v141(constB127) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB127, bitIndex0)) | v141(constB127) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27976,plain,
% 26.94/18.24 ((v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127)) <=> ((~v88(constB127, bitIndex0)) | v141(constB127) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27977,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB127, bitIndex0)) | v141(constB127) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1))))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[27976])).
% 26.94/18.24 tff(27978,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB127, bitIndex0)) | v141(constB127) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)))),
% 26.94/18.24 inference(transitivity,[status(thm)],[27977, 27975])).
% 26.94/18.24 tff(27979,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27980,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB127, bitIndex0)) | v141(constB127) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27979, 27978])).
% 26.94/18.24 tff(27981,plain,
% 26.94/18.24 (v141(constB127)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27980, 26366, 27974, 27970, 27966])).
% 26.94/18.24 tff(27982,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB127)) | v168(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB127)) | v168(constB127))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27983,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB127)) | v168(constB127))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27984,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB127)) | v168(constB127)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27983, 27982])).
% 26.94/18.24 tff(27985,plain,
% 26.94/18.24 (v168(constB127)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27984, 26380, 27981])).
% 26.94/18.24 tff(27986,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB127)) | v167(constB127))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB127)) | v167(constB127))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27987,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB127)) | v167(constB127))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27988,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB127)) | v167(constB127)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27987, 27986])).
% 26.94/18.24 tff(27989,plain,
% 26.94/18.24 (v167(constB127)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27988, 23043, 27985])).
% 26.94/18.24 tff(27990,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB127)) | (~v170(constB127)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB127)) | (~v170(constB127)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27991,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB127)) | (~v170(constB127)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27992,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB127)) | (~v170(constB127))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 26.94/18.24 tff(27993,plain,
% 26.94/18.24 (~v170(constB127)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27992, 8084, 27989])).
% 26.94/18.24 tff(27994,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB127) | (~v167(constB127)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB127) | (~v167(constB127)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27995,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB127) | (~v167(constB127)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(27996,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB127) | (~v167(constB127))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 26.94/18.24 tff(27997,plain,
% 26.94/18.24 (v166(constB127)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[27996, 8098, 27989])).
% 26.94/18.24 tff(27998,plain,
% 26.94/18.24 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB127)) | (~v166(constB127)) | v170(constB127))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB127)) | (~v166(constB127)) | v170(constB127))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(27999,plain,
% 26.94/18.24 (((~v166(constB127)) | v170(constB127) | (~v163(constB127))) <=> ((~v163(constB127)) | (~v166(constB127)) | v170(constB127))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28000,plain,
% 26.94/18.24 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB127)) | v170(constB127) | (~v163(constB127)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB127)) | (~v166(constB127)) | v170(constB127)))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[27999])).
% 26.94/18.24 tff(28001,plain,
% 26.94/18.24 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB127)) | v170(constB127) | (~v163(constB127)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB127)) | (~v166(constB127)) | v170(constB127))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28000, 27998])).
% 26.94/18.24 tff(28002,plain,
% 26.94/18.24 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB127)) | v170(constB127) | (~v163(constB127)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28003,plain,
% 26.94/18.24 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB127)) | (~v166(constB127)) | v170(constB127)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28002, 28001])).
% 26.94/18.24 tff(28004,plain,
% 26.94/18.24 (~v163(constB127)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28003, 8112, 27997, 27993])).
% 26.94/18.24 tff(28005,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB127) | (~nextState(constB127, constB128)) | (~v186(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB127) | (~nextState(constB127, constB128)) | (~v186(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28006,plain,
% 26.94/18.24 (((~nextState(constB127, constB128)) | v163(constB127) | (~v186(constB128))) <=> (v163(constB127) | (~nextState(constB127, constB128)) | (~v186(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28007,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB127, constB128)) | v163(constB127) | (~v186(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB127) | (~nextState(constB127, constB128)) | (~v186(constB128))))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[28006])).
% 26.94/18.24 tff(28008,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB127, constB128)) | v163(constB127) | (~v186(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB127) | (~nextState(constB127, constB128)) | (~v186(constB128)))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28007, 28005])).
% 26.94/18.24 tff(28009,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB127, constB128)) | v163(constB127) | (~v186(constB128)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28010,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB127) | (~nextState(constB127, constB128)) | (~v186(constB128))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 26.94/18.24 tff(28011,plain,
% 26.94/18.24 (v163(constB127) | (~v186(constB128))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28010, 19345, 16171])).
% 26.94/18.24 tff(28012,plain,
% 26.94/18.24 (~v186(constB128)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28011, 28004])).
% 26.94/18.24 tff(28013,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB127, constB128)) | v181(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB127, constB128)) | v181(constB128) | v104(constB128))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28014,plain,
% 26.94/18.24 (((~nextState(constB127, constB128)) | v104(constB128) | v181(constB128)) <=> ((~nextState(constB127, constB128)) | v181(constB128) | v104(constB128))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28015,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v181(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB127, constB128)) | v181(constB128) | v104(constB128)))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[28014])).
% 26.94/18.24 tff(28016,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v181(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB127, constB128)) | v181(constB128) | v104(constB128))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28015, 28013])).
% 26.94/18.24 tff(28017,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | v181(constB128))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28018,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB127, constB128)) | v181(constB128) | v104(constB128)),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 26.94/18.24 tff(28019,plain,
% 26.94/18.24 (v181(constB128) | v104(constB128)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28018, 19367, 16171])).
% 26.94/18.24 tff(28020,plain,
% 26.94/18.24 (v181(constB128)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28019, 16183])).
% 26.94/18.24 tff(28021,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB127, constB128)) | v180(constB128) | (~v1(constB128)) | (~v181(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB127, constB128)) | v180(constB128) | (~v1(constB128)) | (~v181(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28022,plain,
% 26.94/18.24 (((~nextState(constB127, constB128)) | (~v1(constB128)) | v180(constB128) | (~v181(constB128))) <=> ((~nextState(constB127, constB128)) | v180(constB128) | (~v1(constB128)) | (~v181(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28023,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v180(constB128) | (~v181(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB127, constB128)) | v180(constB128) | (~v1(constB128)) | (~v181(constB128))))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[28022])).
% 26.94/18.24 tff(28024,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v180(constB128) | (~v181(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB127, constB128)) | v180(constB128) | (~v1(constB128)) | (~v181(constB128)))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28023, 28021])).
% 26.94/18.24 tff(28025,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB127, constB128)) | (~v1(constB128)) | v180(constB128) | (~v181(constB128)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28026,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB127, constB128)) | v180(constB128) | (~v1(constB128)) | (~v181(constB128))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28025, 28024])).
% 26.94/18.24 tff(28027,plain,
% 26.94/18.24 (v180(constB128) | (~v181(constB128))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28026, 19385, 16171, 16194])).
% 26.94/18.24 tff(28028,plain,
% 26.94/18.24 (v180(constB128)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28027, 28020])).
% 26.94/18.24 tff(28029,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB127, constB128)) | v179(constB128) | (~v180(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB127, constB128)) | v179(constB128) | (~v180(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28030,plain,
% 26.94/18.24 (((~nextState(constB127, constB128)) | (~v180(constB128)) | v179(constB128)) <=> ((~nextState(constB127, constB128)) | v179(constB128) | (~v180(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28031,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB127, constB128)) | (~v180(constB128)) | v179(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB127, constB128)) | v179(constB128) | (~v180(constB128))))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[28030])).
% 26.94/18.24 tff(28032,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB127, constB128)) | (~v180(constB128)) | v179(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB127, constB128)) | v179(constB128) | (~v180(constB128)))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28031, 28029])).
% 26.94/18.24 tff(28033,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB127, constB128)) | (~v180(constB128)) | v179(constB128))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28034,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB127, constB128)) | v179(constB128) | (~v180(constB128))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28033, 28032])).
% 26.94/18.24 tff(28035,plain,
% 26.94/18.24 (v179(constB128) | (~v180(constB128))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28034, 19403, 16171])).
% 26.94/18.24 tff(28036,plain,
% 26.94/18.24 (v179(constB128)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28035, 28028])).
% 26.94/18.24 tff(28037,plain,
% 26.94/18.24 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB128) | (~v159(constB128)) | (~v179(constB128)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB128) | (~v159(constB128)) | (~v179(constB128)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28038,plain,
% 26.94/18.24 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB128) | (~v159(constB128)) | (~v179(constB128)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28039,plain,
% 26.94/18.24 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB128) | (~v159(constB128)) | (~v179(constB128))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28038, 28037])).
% 26.94/18.24 tff(28040,plain,
% 26.94/18.24 (v186(constB128) | (~v159(constB128))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28039, 19421, 28036])).
% 26.94/18.24 tff(28041,plain,
% 26.94/18.24 (~v159(constB128)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28040, 28012])).
% 26.94/18.24 tff(28042,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v180(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v180(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28043,plain,
% 26.94/18.24 (((~nextState(constB128, constB129)) | v1(constB129) | (~v180(constB129))) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v180(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28044,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB128, constB129)) | v1(constB129) | (~v180(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v180(constB129))))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[28043])).
% 26.94/18.24 tff(28045,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB128, constB129)) | v1(constB129) | (~v180(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v180(constB129)))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28044, 28042])).
% 26.94/18.24 tff(28046,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB128, constB129)) | v1(constB129) | (~v180(constB129)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28047,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v180(constB129))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28046, 28045])).
% 26.94/18.24 tff(28048,plain,
% 26.94/18.24 (~v180(constB129)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28047, 19439, 16239, 16236])).
% 26.94/18.24 tff(28049,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB128, constB129)) | v180(constB129) | (~v179(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB128, constB129)) | v180(constB129) | (~v179(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28050,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB128, constB129)) | v180(constB129) | (~v179(constB129)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28051,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB128, constB129)) | v180(constB129) | (~v179(constB129))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28050, 28049])).
% 26.94/18.24 tff(28052,plain,
% 26.94/18.24 (v180(constB129) | (~v179(constB129))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28051, 19456, 16239])).
% 26.94/18.24 tff(28053,plain,
% 26.94/18.24 (~v179(constB129)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28052, 28048])).
% 26.94/18.24 tff(28054,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB128) | (~nextState(constB128, constB129)) | v179(constB129) | (~v159(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB128) | (~nextState(constB128, constB129)) | v179(constB129) | (~v159(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28055,plain,
% 26.94/18.24 (((~nextState(constB128, constB129)) | v179(constB129) | v159(constB128) | (~v159(constB129))) <=> (v159(constB128) | (~nextState(constB128, constB129)) | v179(constB129) | (~v159(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28056,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB128, constB129)) | v179(constB129) | v159(constB128) | (~v159(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB128) | (~nextState(constB128, constB129)) | v179(constB129) | (~v159(constB129))))),
% 26.94/18.24 inference(monotonicity,[status(thm)],[28055])).
% 26.94/18.24 tff(28057,plain,
% 26.94/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB128, constB129)) | v179(constB129) | v159(constB128) | (~v159(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB128) | (~nextState(constB128, constB129)) | v179(constB129) | (~v159(constB129)))),
% 26.94/18.24 inference(transitivity,[status(thm)],[28056, 28054])).
% 26.94/18.24 tff(28058,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB128, constB129)) | v179(constB129) | v159(constB128) | (~v159(constB129)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28059,plain,
% 26.94/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB128) | (~nextState(constB128, constB129)) | v179(constB129) | (~v159(constB129))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 26.94/18.24 tff(28060,plain,
% 26.94/18.24 (v159(constB128) | v179(constB129) | (~v159(constB129))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28059, 19471, 16239])).
% 26.94/18.24 tff(28061,plain,
% 26.94/18.24 (v159(constB128) | (~v159(constB129))),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28060, 28053])).
% 26.94/18.24 tff(28062,plain,
% 26.94/18.24 (~v159(constB129)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28061, 28041])).
% 26.94/18.24 tff(28063,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB129) | (~v201(constB129)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB129) | (~v201(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28064,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB129) | (~v201(constB129)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28065,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB129) | (~v201(constB129))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28064, 28063])).
% 26.94/18.24 tff(28066,plain,
% 26.94/18.24 (~v201(constB129)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28065, 19490, 28062])).
% 26.94/18.24 tff(28067,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB129) | (~v200(constB129)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB129) | (~v200(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.24 tff(28068,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB129) | (~v200(constB129)))),
% 26.94/18.24 inference(quant_inst,[status(thm)],[])).
% 26.94/18.24 tff(28069,plain,
% 26.94/18.24 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB129) | (~v200(constB129))),
% 26.94/18.24 inference(modus_ponens,[status(thm)],[28068, 28067])).
% 26.94/18.24 tff(28070,plain,
% 26.94/18.24 (~v200(constB129)),
% 26.94/18.24 inference(unit_resolution,[status(thm)],[28069, 8143, 28066])).
% 26.94/18.24 tff(28071,plain,
% 26.94/18.24 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB129) | (~v198(constB129)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB129) | (~v198(constB129)))),
% 26.94/18.24 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28072,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB129) | (~v198(constB129)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28073,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB129) | (~v198(constB129))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28072, 28071])).
% 26.94/18.25 tff(28074,plain,
% 26.94/18.25 (~v198(constB129)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28073, 8157, 28070])).
% 26.94/18.25 tff(28075,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v197(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB129) | (~v9(constB129)) | v197(constB129))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28076,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v197(constB129))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28077,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB129) | (~v9(constB129)) | v197(constB129)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28076, 28075])).
% 26.94/18.25 tff(28078,plain,
% 26.94/18.25 ((~v9(constB129)) | v197(constB129)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28077, 85, 16236])).
% 26.94/18.25 tff(28079,plain,
% 26.94/18.25 (v197(constB129)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28078, 16382])).
% 26.94/18.25 tff(28080,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB129)) | v196(constB129))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB129)) | v196(constB129))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28081,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB129)) | v196(constB129))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28082,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB129)) | v196(constB129)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28081, 28080])).
% 26.94/18.25 tff(28083,plain,
% 26.94/18.25 (v196(constB129)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28082, 97, 28079])).
% 26.94/18.25 tff(28084,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB129)) | (~v196(constB129)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB129)) | (~v196(constB129)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28085,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB129)) | (~v196(constB129)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28086,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB129)) | (~v196(constB129))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28085, 28084])).
% 26.94/18.25 tff(28087,plain,
% 26.94/18.25 (~v194(constB129)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28086, 108, 28083])).
% 26.94/18.25 tff(28088,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB129) | v198(constB129) | (~v191(constB129)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB129) | v198(constB129) | (~v191(constB129)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28089,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB129) | v198(constB129) | (~v191(constB129)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28090,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB129) | v198(constB129) | (~v191(constB129))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 26.94/18.25 tff(28091,plain,
% 26.94/18.25 (v198(constB129) | (~v191(constB129))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28090, 8171, 28087])).
% 26.94/18.25 tff(28092,plain,
% 26.94/18.25 (~v191(constB129)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28091, 28074])).
% 26.94/18.25 tff(28093,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB129, constB130)) | v191(constB129) | (~v193(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB129, constB130)) | v191(constB129) | (~v193(constB130)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28094,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB129, constB130)) | v191(constB129) | (~v193(constB130)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28095,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB129, constB130)) | v191(constB129) | (~v193(constB130))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 26.94/18.25 tff(28096,plain,
% 26.94/18.25 (v191(constB129) | (~v193(constB130))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28095, 8186, 16377])).
% 26.94/18.25 tff(28097,plain,
% 26.94/18.25 (~v193(constB130)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28096, 28092])).
% 26.94/18.25 tff(28098,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB130) | (~v194(constB130)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB130) | (~v194(constB130)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28099,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB130) | (~v194(constB130)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28100,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB130) | (~v194(constB130))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28099, 28098])).
% 26.94/18.25 tff(28101,plain,
% 26.94/18.25 (~v194(constB130)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28100, 8201, 28097])).
% 26.94/18.25 tff(28102,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB130)) | (~v197(constB130)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB130)) | (~v197(constB130)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28103,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB130)) | (~v197(constB130)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28104,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB130)) | (~v197(constB130))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28103, 28102])).
% 26.94/18.25 tff(28105,plain,
% 26.94/18.25 (~v197(constB130)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28104, 8215, 16361])).
% 26.94/18.25 tff(28106,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB130) | (~v200(constB130)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB130) | (~v200(constB130)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28107,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB130) | (~v200(constB130)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28108,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB130) | (~v200(constB130))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28107, 28106])).
% 26.94/18.25 tff(28109,plain,
% 26.94/18.25 (~v200(constB130)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28108, 8229, 28105])).
% 26.94/18.25 tff(28110,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB130) | (~v198(constB130)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB130) | (~v198(constB130)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28111,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB130) | (~v198(constB130)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28112,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB130) | (~v198(constB130))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28111, 28110])).
% 26.94/18.25 tff(28113,plain,
% 26.94/18.25 (~v198(constB130)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28112, 8157, 28109])).
% 26.94/18.25 tff(28114,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB130) | v198(constB130) | (~v191(constB130)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB130) | v198(constB130) | (~v191(constB130)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28115,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB130) | v198(constB130) | (~v191(constB130)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28116,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB130) | v198(constB130) | (~v191(constB130))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 26.94/18.25 tff(28117,plain,
% 26.94/18.25 (v194(constB130) | (~v191(constB130))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28116, 8171, 28113])).
% 26.94/18.25 tff(28118,plain,
% 26.94/18.25 (~v191(constB130)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28117, 28101])).
% 26.94/18.25 tff(28119,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB130, constB131)) | v191(constB130) | (~v193(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB130, constB131)) | v191(constB130) | (~v193(constB131)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28120,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB130, constB131)) | v191(constB130) | (~v193(constB131)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28121,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB130, constB131)) | v191(constB130) | (~v193(constB131))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28120, 28119])).
% 26.94/18.25 tff(28122,plain,
% 26.94/18.25 (v191(constB130) | (~v193(constB131))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28121, 8186, 16518])).
% 26.94/18.25 tff(28123,plain,
% 26.94/18.25 (~v193(constB131)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28122, 28118])).
% 26.94/18.25 tff(28124,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28123, 27962])).
% 26.94/18.25 tff(28125,plain,(~(constB131 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28126,assumption,(constB92 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28127,plain,
% 26.94/18.25 (v1(constB92) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28126])).
% 26.94/18.25 tff(28128,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB92)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28127])).
% 26.94/18.25 tff(28129,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB92))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28128])).
% 26.94/18.25 tff(28130,plain,
% 26.94/18.25 (~v1(constB92)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28129])).
% 26.94/18.25 tff(28131,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[11790, 28130])).
% 26.94/18.25 tff(28132,plain,(~(constB92 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28133,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28134,plain,
% 26.94/18.25 (v1(constB60) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28133])).
% 26.94/18.25 tff(28135,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB60)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28134])).
% 26.94/18.25 tff(28136,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28135])).
% 26.94/18.25 tff(28137,plain,
% 26.94/18.25 (~v1(constB60)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28136])).
% 26.94/18.25 tff(28138,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[7873, 28137])).
% 26.94/18.25 tff(28139,plain,(~(constB60 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28140,assumption,(constB88 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28141,plain,
% 26.94/18.25 (v1(constB88) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28140])).
% 26.94/18.25 tff(28142,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB88)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28141])).
% 26.94/18.25 tff(28143,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB88))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28142])).
% 26.94/18.25 tff(28144,plain,
% 26.94/18.25 (~v1(constB88)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28143])).
% 26.94/18.25 tff(28145,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[11304, 28144])).
% 26.94/18.25 tff(28146,plain,(~(constB88 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28147,assumption,(constB48 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28148,plain,
% 26.94/18.25 (v1(constB48) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28147])).
% 26.94/18.25 tff(28149,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB48)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28148])).
% 26.94/18.25 tff(28150,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB48))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28149])).
% 26.94/18.25 tff(28151,plain,
% 26.94/18.25 (~v1(constB48)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28150])).
% 26.94/18.25 tff(28152,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[6591, 28151])).
% 26.94/18.25 tff(28153,plain,(~(constB48 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28154,assumption,(constB72 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28155,plain,
% 26.94/18.25 (v1(constB72) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28154])).
% 26.94/18.25 tff(28156,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB72)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28155])).
% 26.94/18.25 tff(28157,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB72))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28156])).
% 26.94/18.25 tff(28158,plain,
% 26.94/18.25 (~v1(constB72)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28157])).
% 26.94/18.25 tff(28159,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[9567, 28158])).
% 26.94/18.25 tff(28160,plain,(~(constB72 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28161,assumption,(constB14 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28162,plain,
% 26.94/18.25 (v1(constB14) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28161])).
% 26.94/18.25 tff(28163,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB14)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28162])).
% 26.94/18.25 tff(28164,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB14))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28163])).
% 26.94/18.25 tff(28165,plain,
% 26.94/18.25 (~v1(constB14)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28164])).
% 26.94/18.25 tff(28166,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[2263, 28165])).
% 26.94/18.25 tff(28167,plain,(~(constB14 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28168,assumption,(constB200 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28169,plain,
% 26.94/18.25 (v1(constB200) <=> v1(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28168])).
% 26.94/18.25 tff(28170,plain,
% 26.94/18.25 (v1(sK0_VarCurr) <=> v1(constB200)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28169])).
% 26.94/18.25 tff(28171,plain,
% 26.94/18.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB200))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28170])).
% 26.94/18.25 tff(28172,plain,
% 26.94/18.25 (~v1(constB200)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[25165, 28171])).
% 26.94/18.25 tff(28173,plain,
% 26.94/18.25 (v1(constB200) <=> v1(constB200)),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28174,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 26.94/18.25 tff(28175,plain,
% 26.94/18.25 (v1(constB200)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 26.94/18.25 tff(28176,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28175, 28172])).
% 26.94/18.25 tff(28177,plain,(~(constB200 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28178,assumption,(constB53 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.25 tff(28179,plain,
% 26.94/18.25 (v193(constB53) <=> v193(sK0_VarCurr)),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28178])).
% 26.94/18.25 tff(28180,plain,
% 26.94/18.25 (v193(sK0_VarCurr) <=> v193(constB53)),
% 26.94/18.25 inference(symmetry,[status(thm)],[28179])).
% 26.94/18.25 tff(28181,plain,
% 26.94/18.25 (v193(constB53)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[8270, 28180])).
% 26.94/18.25 tff(28182,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB49)) | (~v170(constB49)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB49)) | (~v170(constB49)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28183,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB49)) | (~v170(constB49)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28184,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB49)) | (~v170(constB49))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 26.94/18.25 tff(28185,plain,
% 26.94/18.25 (~v170(constB49)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28184, 8084, 23329])).
% 26.94/18.25 tff(28186,plain,
% 26.94/18.25 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB49)) | v170(constB49) | (~v166(constB49)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB49)) | v170(constB49) | (~v166(constB49)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28187,plain,
% 26.94/18.25 (((~v166(constB49)) | v170(constB49) | (~v163(constB49))) <=> ((~v163(constB49)) | v170(constB49) | (~v166(constB49)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28188,plain,
% 26.94/18.25 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB49)) | v170(constB49) | (~v163(constB49)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB49)) | v170(constB49) | (~v166(constB49))))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28187])).
% 26.94/18.25 tff(28189,plain,
% 26.94/18.25 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB49)) | v170(constB49) | (~v163(constB49)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB49)) | v170(constB49) | (~v166(constB49)))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28188, 28186])).
% 26.94/18.25 tff(28190,plain,
% 26.94/18.25 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB49)) | v170(constB49) | (~v163(constB49)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28191,plain,
% 26.94/18.25 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB49)) | v170(constB49) | (~v166(constB49))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28190, 28189])).
% 26.94/18.25 tff(28192,plain,
% 26.94/18.25 (~v163(constB49)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28191, 8112, 23333, 28185])).
% 26.94/18.25 tff(28193,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB49) | (~nextState(constB49, constB50)) | (~v186(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB49) | (~nextState(constB49, constB50)) | (~v186(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28194,plain,
% 26.94/18.25 (((~nextState(constB49, constB50)) | v163(constB49) | (~v186(constB50))) <=> (v163(constB49) | (~nextState(constB49, constB50)) | (~v186(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28195,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB49, constB50)) | v163(constB49) | (~v186(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB49) | (~nextState(constB49, constB50)) | (~v186(constB50))))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28194])).
% 26.94/18.25 tff(28196,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB49, constB50)) | v163(constB49) | (~v186(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB49) | (~nextState(constB49, constB50)) | (~v186(constB50)))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28195, 28193])).
% 26.94/18.25 tff(28197,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB49, constB50)) | v163(constB49) | (~v186(constB50)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28198,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB49) | (~nextState(constB49, constB50)) | (~v186(constB50))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28197, 28196])).
% 26.94/18.25 tff(28199,plain,
% 26.94/18.25 (v163(constB49) | (~v186(constB50))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28198, 19345, 6756])).
% 26.94/18.25 tff(28200,plain,
% 26.94/18.25 (~v186(constB50)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28199, 28192])).
% 26.94/18.25 tff(28201,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB49, constB50)) | v181(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB49, constB50)) | v181(constB50) | v104(constB50))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28202,plain,
% 26.94/18.25 (((~nextState(constB49, constB50)) | v104(constB50) | v181(constB50)) <=> ((~nextState(constB49, constB50)) | v181(constB50) | v104(constB50))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28203,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v181(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB49, constB50)) | v181(constB50) | v104(constB50)))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28202])).
% 26.94/18.25 tff(28204,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v181(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB49, constB50)) | v181(constB50) | v104(constB50))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28203, 28201])).
% 26.94/18.25 tff(28205,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | v181(constB50))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28206,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB49, constB50)) | v181(constB50) | v104(constB50)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 26.94/18.25 tff(28207,plain,
% 26.94/18.25 (v181(constB50) | v104(constB50)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28206, 19367, 6756])).
% 26.94/18.25 tff(28208,plain,
% 26.94/18.25 (v181(constB50)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28207, 6768])).
% 26.94/18.25 tff(28209,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB49, constB50)) | v180(constB50) | (~v1(constB50)) | (~v181(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB49, constB50)) | v180(constB50) | (~v1(constB50)) | (~v181(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28210,plain,
% 26.94/18.25 (((~nextState(constB49, constB50)) | (~v1(constB50)) | v180(constB50) | (~v181(constB50))) <=> ((~nextState(constB49, constB50)) | v180(constB50) | (~v1(constB50)) | (~v181(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28211,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v180(constB50) | (~v181(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB49, constB50)) | v180(constB50) | (~v1(constB50)) | (~v181(constB50))))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28210])).
% 26.94/18.25 tff(28212,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v180(constB50) | (~v181(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB49, constB50)) | v180(constB50) | (~v1(constB50)) | (~v181(constB50)))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28211, 28209])).
% 26.94/18.25 tff(28213,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB49, constB50)) | (~v1(constB50)) | v180(constB50) | (~v181(constB50)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28214,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB49, constB50)) | v180(constB50) | (~v1(constB50)) | (~v181(constB50))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 26.94/18.25 tff(28215,plain,
% 26.94/18.25 (v180(constB50) | (~v181(constB50))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28214, 19385, 6756, 6779])).
% 26.94/18.25 tff(28216,plain,
% 26.94/18.25 (v180(constB50)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28215, 28208])).
% 26.94/18.25 tff(28217,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB49, constB50)) | v179(constB50) | (~v180(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB49, constB50)) | v179(constB50) | (~v180(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28218,plain,
% 26.94/18.25 (((~nextState(constB49, constB50)) | (~v180(constB50)) | v179(constB50)) <=> ((~nextState(constB49, constB50)) | v179(constB50) | (~v180(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28219,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB49, constB50)) | (~v180(constB50)) | v179(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB49, constB50)) | v179(constB50) | (~v180(constB50))))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28218])).
% 26.94/18.25 tff(28220,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB49, constB50)) | (~v180(constB50)) | v179(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB49, constB50)) | v179(constB50) | (~v180(constB50)))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28219, 28217])).
% 26.94/18.25 tff(28221,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB49, constB50)) | (~v180(constB50)) | v179(constB50))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28222,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB49, constB50)) | v179(constB50) | (~v180(constB50))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28221, 28220])).
% 26.94/18.25 tff(28223,plain,
% 26.94/18.25 (v179(constB50) | (~v180(constB50))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28222, 19403, 6756])).
% 26.94/18.25 tff(28224,plain,
% 26.94/18.25 (v179(constB50)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28223, 28216])).
% 26.94/18.25 tff(28225,plain,
% 26.94/18.25 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB50) | (~v159(constB50)) | (~v179(constB50)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB50) | (~v159(constB50)) | (~v179(constB50)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28226,plain,
% 26.94/18.25 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB50) | (~v159(constB50)) | (~v179(constB50)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28227,plain,
% 26.94/18.25 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB50) | (~v159(constB50)) | (~v179(constB50))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28226, 28225])).
% 26.94/18.25 tff(28228,plain,
% 26.94/18.25 (v186(constB50) | (~v159(constB50))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28227, 19421, 28224])).
% 26.94/18.25 tff(28229,plain,
% 26.94/18.25 (~v159(constB50)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28228, 28200])).
% 26.94/18.25 tff(28230,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v180(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v180(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28231,plain,
% 26.94/18.25 (((~nextState(constB50, constB51)) | v1(constB51) | (~v180(constB51))) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v180(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28232,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v1(constB51) | (~v180(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v180(constB51))))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28231])).
% 26.94/18.25 tff(28233,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v1(constB51) | (~v180(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v180(constB51)))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28232, 28230])).
% 26.94/18.25 tff(28234,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v1(constB51) | (~v180(constB51)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28235,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v180(constB51))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28234, 28233])).
% 26.94/18.25 tff(28236,plain,
% 26.94/18.25 (~v180(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28235, 19439, 6848, 6845])).
% 26.94/18.25 tff(28237,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB50, constB51)) | v180(constB51) | (~v179(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB50, constB51)) | v180(constB51) | (~v179(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28238,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB50, constB51)) | v180(constB51) | (~v179(constB51)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28239,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB50, constB51)) | v180(constB51) | (~v179(constB51))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 26.94/18.25 tff(28240,plain,
% 26.94/18.25 (v180(constB51) | (~v179(constB51))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28239, 19456, 6848])).
% 26.94/18.25 tff(28241,plain,
% 26.94/18.25 (~v179(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28240, 28236])).
% 26.94/18.25 tff(28242,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB50) | (~nextState(constB50, constB51)) | v179(constB51) | (~v159(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB50) | (~nextState(constB50, constB51)) | v179(constB51) | (~v159(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28243,plain,
% 26.94/18.25 (((~nextState(constB50, constB51)) | v179(constB51) | v159(constB50) | (~v159(constB51))) <=> (v159(constB50) | (~nextState(constB50, constB51)) | v179(constB51) | (~v159(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28244,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB50, constB51)) | v179(constB51) | v159(constB50) | (~v159(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB50) | (~nextState(constB50, constB51)) | v179(constB51) | (~v159(constB51))))),
% 26.94/18.25 inference(monotonicity,[status(thm)],[28243])).
% 26.94/18.25 tff(28245,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB50, constB51)) | v179(constB51) | v159(constB50) | (~v159(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB50) | (~nextState(constB50, constB51)) | v179(constB51) | (~v159(constB51)))),
% 26.94/18.25 inference(transitivity,[status(thm)],[28244, 28242])).
% 26.94/18.25 tff(28246,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB50, constB51)) | v179(constB51) | v159(constB50) | (~v159(constB51)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28247,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB50) | (~nextState(constB50, constB51)) | v179(constB51) | (~v159(constB51))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28246, 28245])).
% 26.94/18.25 tff(28248,plain,
% 26.94/18.25 (v159(constB50) | v179(constB51) | (~v159(constB51))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28247, 19471, 6848])).
% 26.94/18.25 tff(28249,plain,
% 26.94/18.25 (v159(constB50) | (~v159(constB51))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28248, 28241])).
% 26.94/18.25 tff(28250,plain,
% 26.94/18.25 (~v159(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28249, 28229])).
% 26.94/18.25 tff(28251,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB51) | (~v201(constB51)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB51) | (~v201(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28252,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB51) | (~v201(constB51)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28253,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB51) | (~v201(constB51))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28252, 28251])).
% 26.94/18.25 tff(28254,plain,
% 26.94/18.25 (~v201(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28253, 19490, 28250])).
% 26.94/18.25 tff(28255,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB51) | (~v200(constB51)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB51) | (~v200(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28256,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB51) | (~v200(constB51)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28257,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB51) | (~v200(constB51))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28256, 28255])).
% 26.94/18.25 tff(28258,plain,
% 26.94/18.25 (~v200(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28257, 8143, 28254])).
% 26.94/18.25 tff(28259,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB51) | (~v198(constB51)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB51) | (~v198(constB51)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28260,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB51) | (~v198(constB51)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28261,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB51) | (~v198(constB51))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 26.94/18.25 tff(28262,plain,
% 26.94/18.25 (~v198(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28261, 8157, 28258])).
% 26.94/18.25 tff(28263,assumption,(v18(constB52)), introduced(assumption)).
% 26.94/18.25 tff(28264,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB52))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28265,plain,
% 26.94/18.25 ($false),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28264, 8, 28263])).
% 26.94/18.25 tff(28266,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.25 tff(28267,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28268,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28269,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28268, 28267])).
% 26.94/18.25 tff(28270,plain,
% 26.94/18.25 (v22(constB52)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28269, 24, 7022])).
% 26.94/18.25 tff(28271,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28272,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28273,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28272, 28271])).
% 26.94/18.25 tff(28274,plain,
% 26.94/18.25 (v18(constB52) | (~v19(constB52))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28273, 38, 28270])).
% 26.94/18.25 tff(28275,plain,
% 26.94/18.25 (~v19(constB52)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28274, 28266])).
% 26.94/18.25 tff(28276,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28277,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28278,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28277, 28276])).
% 26.94/18.25 tff(28279,plain,
% 26.94/18.25 (v13(constB52)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28278, 50, 28275])).
% 26.94/18.25 tff(28280,plain,
% 26.94/18.25 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28281,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28282,plain,
% 26.94/18.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52))),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28281, 28280])).
% 26.94/18.25 tff(28283,plain,
% 26.94/18.25 (v9(constB51) | (~v13(constB52))),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28282, 67, 6999])).
% 26.94/18.25 tff(28284,plain,
% 26.94/18.25 (v9(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28283, 28279])).
% 26.94/18.25 tff(28285,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v197(constB51))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB51) | (~v9(constB51)) | v197(constB51))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28286,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v197(constB51))),
% 26.94/18.25 inference(quant_inst,[status(thm)],[])).
% 26.94/18.25 tff(28287,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB51) | (~v9(constB51)) | v197(constB51)),
% 26.94/18.25 inference(modus_ponens,[status(thm)],[28286, 28285])).
% 26.94/18.25 tff(28288,plain,
% 26.94/18.25 ((~v9(constB51)) | v197(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28287, 85, 6845])).
% 26.94/18.25 tff(28289,plain,
% 26.94/18.25 (v197(constB51)),
% 26.94/18.25 inference(unit_resolution,[status(thm)],[28288, 28284])).
% 26.94/18.25 tff(28290,plain,
% 26.94/18.25 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB51)) | v196(constB51))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB51)) | v196(constB51))),
% 26.94/18.25 inference(rewrite,[status(thm)],[])).
% 26.94/18.25 tff(28291,plain,
% 26.94/18.25 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB51)) | v196(constB51))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28292,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB51)) | v196(constB51)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28291, 28290])).
% 26.94/18.26 tff(28293,plain,
% 26.94/18.26 (v196(constB51)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28292, 97, 28289])).
% 26.94/18.26 tff(28294,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB51)) | (~v196(constB51)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB51)) | (~v196(constB51)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28295,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB51)) | (~v196(constB51)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28296,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB51)) | (~v196(constB51))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28295, 28294])).
% 26.94/18.26 tff(28297,plain,
% 26.94/18.26 (~v194(constB51)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28296, 108, 28293])).
% 26.94/18.26 tff(28298,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB51) | v198(constB51) | (~v191(constB51)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB51) | v198(constB51) | (~v191(constB51)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28299,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB51) | v198(constB51) | (~v191(constB51)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28300,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB51) | v198(constB51) | (~v191(constB51))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28299, 28298])).
% 26.94/18.26 tff(28301,plain,
% 26.94/18.26 (v198(constB51) | (~v191(constB51))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28300, 8171, 28297])).
% 26.94/18.26 tff(28302,plain,
% 26.94/18.26 (~v191(constB51)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28301, 28262])).
% 26.94/18.26 tff(28303,plain,
% 26.94/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB51, constB52)) | v191(constB51) | (~v193(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB51, constB52)) | v191(constB51) | (~v193(constB52)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28304,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB51, constB52)) | v191(constB51) | (~v193(constB52)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28305,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB51, constB52)) | v191(constB51) | (~v193(constB52))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 26.94/18.26 tff(28306,plain,
% 26.94/18.26 (v191(constB51) | (~v193(constB52))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28305, 8186, 6999])).
% 26.94/18.26 tff(28307,plain,
% 26.94/18.26 (~v193(constB52)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28306, 28302])).
% 26.94/18.26 tff(28308,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB52) | (~v194(constB52)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB52) | (~v194(constB52)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28309,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB52) | (~v194(constB52)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28310,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB52) | (~v194(constB52))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28309, 28308])).
% 26.94/18.26 tff(28311,plain,
% 26.94/18.26 (~v194(constB52)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28310, 8201, 28307])).
% 26.94/18.26 tff(28312,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB52)) | (~v197(constB52)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB52)) | (~v197(constB52)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28313,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB52)) | (~v197(constB52)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28314,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB52)) | (~v197(constB52))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28313, 28312])).
% 26.94/18.26 tff(28315,plain,
% 26.94/18.26 (~v197(constB52)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28314, 8215, 7022])).
% 26.94/18.26 tff(28316,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB52) | (~v200(constB52)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB52) | (~v200(constB52)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28317,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB52) | (~v200(constB52)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28318,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB52) | (~v200(constB52))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28317, 28316])).
% 26.94/18.26 tff(28319,plain,
% 26.94/18.26 (~v200(constB52)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28318, 8229, 28315])).
% 26.94/18.26 tff(28320,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB52) | (~v198(constB52)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB52) | (~v198(constB52)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28321,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB52) | (~v198(constB52)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28322,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB52) | (~v198(constB52))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28321, 28320])).
% 26.94/18.26 tff(28323,plain,
% 26.94/18.26 (~v198(constB52)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28322, 8157, 28319])).
% 26.94/18.26 tff(28324,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB52) | v198(constB52) | (~v191(constB52)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB52) | v198(constB52) | (~v191(constB52)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28325,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB52) | v198(constB52) | (~v191(constB52)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28326,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB52) | v198(constB52) | (~v191(constB52))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 26.94/18.26 tff(28327,plain,
% 26.94/18.26 (v194(constB52) | (~v191(constB52))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28326, 8171, 28323])).
% 26.94/18.26 tff(28328,plain,
% 26.94/18.26 (~v191(constB52)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28327, 28311])).
% 26.94/18.26 tff(28329,plain,
% 26.94/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB52, constB53)) | v191(constB52) | (~v193(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB52, constB53)) | v191(constB52) | (~v193(constB53)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28330,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB52, constB53)) | v191(constB52) | (~v193(constB53)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28331,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB52, constB53)) | v191(constB52) | (~v193(constB53))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28330, 28329])).
% 26.94/18.26 tff(28332,plain,
% 26.94/18.26 (v191(constB52) | (~v193(constB53))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28331, 8186, 7067])).
% 26.94/18.26 tff(28333,plain,
% 26.94/18.26 (~v193(constB53)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28332, 28328])).
% 26.94/18.26 tff(28334,plain,
% 26.94/18.26 ($false),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28333, 28181])).
% 26.94/18.26 tff(28335,plain,(~(constB53 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.26 tff(28336,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.26 tff(28337,plain,
% 26.94/18.26 (v193(constB111) <=> v193(sK0_VarCurr)),
% 26.94/18.26 inference(monotonicity,[status(thm)],[28336])).
% 26.94/18.26 tff(28338,plain,
% 26.94/18.26 (v193(sK0_VarCurr) <=> v193(constB111)),
% 26.94/18.26 inference(symmetry,[status(thm)],[28337])).
% 26.94/18.26 tff(28339,plain,
% 26.94/18.26 (v193(constB111)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[8270, 28338])).
% 26.94/18.26 tff(28340,assumption,(v18(constB110)), introduced(assumption)).
% 26.94/18.26 tff(28341,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB110))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28342,plain,
% 26.94/18.26 ($false),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28341, 8, 28340])).
% 26.94/18.26 tff(28343,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.26 tff(28344,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28345,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28346,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28345, 28344])).
% 26.94/18.26 tff(28347,plain,
% 26.94/18.26 (v22(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28346, 24, 13688])).
% 26.94/18.26 tff(28348,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28349,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28350,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 26.94/18.26 tff(28351,plain,
% 26.94/18.26 (v18(constB110) | (~v19(constB110))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28350, 38, 28347])).
% 26.94/18.26 tff(28352,plain,
% 26.94/18.26 (~v19(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28351, 28343])).
% 26.94/18.26 tff(28353,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28354,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28355,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28354, 28353])).
% 26.94/18.26 tff(28356,plain,
% 26.94/18.26 (v13(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28355, 50, 28352])).
% 26.94/18.26 tff(28357,plain,
% 26.94/18.26 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28358,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28359,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28358, 28357])).
% 26.94/18.26 tff(28360,plain,
% 26.94/18.26 (v9(constB109) | (~v13(constB110))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28359, 67, 13665])).
% 26.94/18.26 tff(28361,plain,
% 26.94/18.26 (v9(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28360, 28356])).
% 26.94/18.26 tff(28362,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v197(constB109))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB109) | (~v9(constB109)) | v197(constB109))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28363,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v197(constB109))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28364,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB109) | (~v9(constB109)) | v197(constB109)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28363, 28362])).
% 26.94/18.26 tff(28365,plain,
% 26.94/18.26 ((~v9(constB109)) | v197(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28364, 85, 13547])).
% 26.94/18.26 tff(28366,plain,
% 26.94/18.26 (v197(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28365, 28361])).
% 26.94/18.26 tff(28367,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB109)) | v196(constB109))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB109)) | v196(constB109))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28368,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB109)) | v196(constB109))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28369,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB109)) | v196(constB109)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 26.94/18.26 tff(28370,plain,
% 26.94/18.26 (v196(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28369, 97, 28366])).
% 26.94/18.26 tff(28371,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB109)) | (~v196(constB109)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB109)) | (~v196(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28372,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB109)) | (~v196(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28373,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB109)) | (~v196(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 26.94/18.26 tff(28374,plain,
% 26.94/18.26 (~v194(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28373, 108, 28370])).
% 26.94/18.26 tff(28375,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB109)) | (~v170(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28376,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB109)) | (~v170(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28377,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB109)) | (~v170(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 26.94/18.26 tff(28378,plain,
% 26.94/18.26 (~v170(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28377, 8084, 23256])).
% 26.94/18.26 tff(28379,plain,
% 26.94/18.26 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | v170(constB109) | (~v166(constB109)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | v170(constB109) | (~v166(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28380,plain,
% 26.94/18.26 (((~v166(constB109)) | v170(constB109) | (~v163(constB109))) <=> ((~v163(constB109)) | v170(constB109) | (~v166(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28381,plain,
% 26.94/18.26 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB109)) | v170(constB109) | (~v166(constB109))))),
% 26.94/18.26 inference(monotonicity,[status(thm)],[28380])).
% 26.94/18.26 tff(28382,plain,
% 26.94/18.26 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | v170(constB109) | (~v166(constB109)))),
% 26.94/18.26 inference(transitivity,[status(thm)],[28381, 28379])).
% 26.94/18.26 tff(28383,plain,
% 26.94/18.26 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB109)) | v170(constB109) | (~v163(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28384,plain,
% 26.94/18.26 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB109)) | v170(constB109) | (~v166(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28383, 28382])).
% 26.94/18.26 tff(28385,plain,
% 26.94/18.26 (~v163(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28384, 8112, 23260, 28378])).
% 26.94/18.26 tff(28386,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB109) | (~v201(constB109)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB109) | (~v201(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28387,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB109) | (~v201(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28388,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB109) | (~v201(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28387, 28386])).
% 26.94/18.26 tff(28389,plain,
% 26.94/18.26 (~v201(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28388, 8129, 28385])).
% 26.94/18.26 tff(28390,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB109) | (~v200(constB109)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB109) | (~v200(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28391,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB109) | (~v200(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28392,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB109) | (~v200(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28391, 28390])).
% 26.94/18.26 tff(28393,plain,
% 26.94/18.26 (~v200(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28392, 8143, 28389])).
% 26.94/18.26 tff(28394,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB109) | (~v198(constB109)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB109) | (~v198(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28395,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB109) | (~v198(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28396,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB109) | (~v198(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 26.94/18.26 tff(28397,plain,
% 26.94/18.26 (~v198(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28396, 8157, 28393])).
% 26.94/18.26 tff(28398,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB109) | v198(constB109) | (~v191(constB109)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB109) | v198(constB109) | (~v191(constB109)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28399,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB109) | v198(constB109) | (~v191(constB109)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28400,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB109) | v198(constB109) | (~v191(constB109))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28399, 28398])).
% 26.94/18.26 tff(28401,plain,
% 26.94/18.26 (v194(constB109) | (~v191(constB109))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28400, 8171, 28397])).
% 26.94/18.26 tff(28402,plain,
% 26.94/18.26 (~v191(constB109)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28401, 28374])).
% 26.94/18.26 tff(28403,plain,
% 26.94/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB109, constB110)) | v191(constB109) | (~v193(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB109, constB110)) | v191(constB109) | (~v193(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28404,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB109, constB110)) | v191(constB109) | (~v193(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28405,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB109, constB110)) | v191(constB109) | (~v193(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28404, 28403])).
% 26.94/18.26 tff(28406,plain,
% 26.94/18.26 (v191(constB109) | (~v193(constB110))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28405, 8186, 13665])).
% 26.94/18.26 tff(28407,plain,
% 26.94/18.26 (~v193(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28406, 28402])).
% 26.94/18.26 tff(28408,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB110) | (~v194(constB110)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB110) | (~v194(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28409,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB110) | (~v194(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28410,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB110) | (~v194(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28409, 28408])).
% 26.94/18.26 tff(28411,plain,
% 26.94/18.26 (~v194(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28410, 8201, 28407])).
% 26.94/18.26 tff(28412,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB110)) | (~v197(constB110)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB110)) | (~v197(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28413,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB110)) | (~v197(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28414,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB110)) | (~v197(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28413, 28412])).
% 26.94/18.26 tff(28415,plain,
% 26.94/18.26 (~v197(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28414, 8215, 13688])).
% 26.94/18.26 tff(28416,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB110) | (~v200(constB110)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB110) | (~v200(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28417,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB110) | (~v200(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28418,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB110) | (~v200(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28417, 28416])).
% 26.94/18.26 tff(28419,plain,
% 26.94/18.26 (~v200(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28418, 8229, 28415])).
% 26.94/18.26 tff(28420,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB110) | (~v198(constB110)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB110) | (~v198(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28421,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB110) | (~v198(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28422,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB110) | (~v198(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 26.94/18.26 tff(28423,plain,
% 26.94/18.26 (~v198(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28422, 8157, 28419])).
% 26.94/18.26 tff(28424,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB110) | v198(constB110) | (~v191(constB110)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB110) | v198(constB110) | (~v191(constB110)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28425,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB110) | v198(constB110) | (~v191(constB110)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28426,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB110) | v198(constB110) | (~v191(constB110))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28425, 28424])).
% 26.94/18.26 tff(28427,plain,
% 26.94/18.26 (v194(constB110) | (~v191(constB110))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28426, 8171, 28423])).
% 26.94/18.26 tff(28428,plain,
% 26.94/18.26 (~v191(constB110)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28427, 28411])).
% 26.94/18.26 tff(28429,plain,
% 26.94/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB110, constB111)) | v191(constB110) | (~v193(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB110, constB111)) | v191(constB110) | (~v193(constB111)))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28430,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB110, constB111)) | v191(constB110) | (~v193(constB111)))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28431,plain,
% 26.94/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB110, constB111)) | v191(constB110) | (~v193(constB111))),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28430, 28429])).
% 26.94/18.26 tff(28432,plain,
% 26.94/18.26 (v191(constB110) | (~v193(constB111))),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28431, 8186, 13757])).
% 26.94/18.26 tff(28433,plain,
% 26.94/18.26 (~v193(constB111)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28432, 28428])).
% 26.94/18.26 tff(28434,plain,
% 26.94/18.26 ($false),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28433, 28339])).
% 26.94/18.26 tff(28435,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.94/18.26 tff(28436,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 26.94/18.26 tff(28437,plain,
% 26.94/18.26 (v193(constB31) <=> v193(sK0_VarCurr)),
% 26.94/18.26 inference(monotonicity,[status(thm)],[28436])).
% 26.94/18.26 tff(28438,plain,
% 26.94/18.26 (v193(sK0_VarCurr) <=> v193(constB31)),
% 26.94/18.26 inference(symmetry,[status(thm)],[28437])).
% 26.94/18.26 tff(28439,plain,
% 26.94/18.26 (v193(constB31)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[8270, 28438])).
% 26.94/18.26 tff(28440,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB27, bitIndex2)) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB27, bitIndex2)) | v90(constB27, bitIndex2))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28441,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB27, bitIndex2)) | v90(constB27, bitIndex2))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28442,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB27, bitIndex2)) | v90(constB27, bitIndex2)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28441, 28440])).
% 26.94/18.26 tff(28443,plain,
% 26.94/18.26 (~v88(constB27, bitIndex2)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28442, 25366, 3795])).
% 26.94/18.26 tff(28444,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB27, bitIndex1)) | v90(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB27, bitIndex1)) | v90(constB27, bitIndex1))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28445,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB27, bitIndex1)) | v90(constB27, bitIndex1))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28446,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB27, bitIndex1)) | v90(constB27, bitIndex1)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28445, 28444])).
% 26.94/18.26 tff(28447,plain,
% 26.94/18.26 (~v88(constB27, bitIndex1)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28446, 25377, 3829])).
% 26.94/18.26 tff(28448,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28449,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))),
% 26.94/18.26 inference(quant_inst,[status(thm)],[])).
% 26.94/18.26 tff(28450,plain,
% 26.94/18.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0)),
% 26.94/18.26 inference(modus_ponens,[status(thm)],[28449, 28448])).
% 26.94/18.26 tff(28451,plain,
% 26.94/18.26 (v88(constB27, bitIndex0)),
% 26.94/18.26 inference(unit_resolution,[status(thm)],[28450, 26352, 3860])).
% 26.94/18.26 tff(28452,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28453,plain,
% 26.94/18.26 ((v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27)) <=> (v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 26.94/18.26 inference(rewrite,[status(thm)],[])).
% 26.94/18.26 tff(28454,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27)))),
% 26.94/18.26 inference(monotonicity,[status(thm)],[28453])).
% 26.94/18.26 tff(28455,plain,
% 26.94/18.26 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 27.00/18.26 inference(transitivity,[status(thm)],[28454, 28452])).
% 27.00/18.26 tff(28456,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28457,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB27, bitIndex1) | v88(constB27, bitIndex2) | (~v88(constB27, bitIndex0)) | v140(constB27)),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28456, 28455])).
% 27.00/18.26 tff(28458,plain,
% 27.00/18.26 (v140(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28457, 26773, 28451, 28447, 28443])).
% 27.00/18.26 tff(28459,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB27)) | v169(constB27))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB27)) | v169(constB27))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28460,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB27)) | v169(constB27))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28461,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB27)) | v169(constB27)),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28460, 28459])).
% 27.00/18.26 tff(28462,plain,
% 27.00/18.26 (v169(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28461, 26787, 28458])).
% 27.00/18.26 tff(28463,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB27) | (~v169(constB27)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB27) | (~v169(constB27)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28464,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB27) | (~v169(constB27)))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28465,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB27) | (~v169(constB27))),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28464, 28463])).
% 27.00/18.26 tff(28466,plain,
% 27.00/18.26 (v168(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28465, 23060, 28462])).
% 27.00/18.26 tff(28467,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB27) | (~v168(constB27)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB27) | (~v168(constB27)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28468,plain,
% 27.00/18.26 (((~v168(constB27)) | v167(constB27)) <=> (v167(constB27) | (~v168(constB27)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28469,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB27)) | v167(constB27))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB27) | (~v168(constB27))))),
% 27.00/18.26 inference(monotonicity,[status(thm)],[28468])).
% 27.00/18.26 tff(28470,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB27)) | v167(constB27))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB27) | (~v168(constB27)))),
% 27.00/18.26 inference(transitivity,[status(thm)],[28469, 28467])).
% 27.00/18.26 tff(28471,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB27)) | v167(constB27))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28472,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB27) | (~v168(constB27))),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 27.00/18.26 tff(28473,plain,
% 27.00/18.26 (v167(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28472, 23043, 28466])).
% 27.00/18.26 tff(28474,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB27)) | (~v170(constB27)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB27)) | (~v170(constB27)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28475,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB27)) | (~v170(constB27)))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28476,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB27)) | (~v170(constB27))),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 27.00/18.26 tff(28477,plain,
% 27.00/18.26 (~v170(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28476, 8084, 28473])).
% 27.00/18.26 tff(28478,plain,
% 27.00/18.26 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB27) | (~v167(constB27)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB27) | (~v167(constB27)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28479,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB27) | (~v167(constB27)))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28480,plain,
% 27.00/18.26 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB27) | (~v167(constB27))),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28479, 28478])).
% 27.00/18.26 tff(28481,plain,
% 27.00/18.26 (v166(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28480, 8098, 28473])).
% 27.00/18.26 tff(28482,plain,
% 27.00/18.26 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB27)) | (~v166(constB27)) | v170(constB27))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB27)) | (~v166(constB27)) | v170(constB27))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28483,plain,
% 27.00/18.26 (((~v166(constB27)) | v170(constB27) | (~v163(constB27))) <=> ((~v163(constB27)) | (~v166(constB27)) | v170(constB27))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28484,plain,
% 27.00/18.26 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB27)) | v170(constB27) | (~v163(constB27)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB27)) | (~v166(constB27)) | v170(constB27)))),
% 27.00/18.26 inference(monotonicity,[status(thm)],[28483])).
% 27.00/18.26 tff(28485,plain,
% 27.00/18.26 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB27)) | v170(constB27) | (~v163(constB27)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB27)) | (~v166(constB27)) | v170(constB27))),
% 27.00/18.26 inference(transitivity,[status(thm)],[28484, 28482])).
% 27.00/18.26 tff(28486,plain,
% 27.00/18.26 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB27)) | v170(constB27) | (~v163(constB27)))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28487,plain,
% 27.00/18.26 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB27)) | (~v166(constB27)) | v170(constB27)),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28486, 28485])).
% 27.00/18.26 tff(28488,plain,
% 27.00/18.26 (~v163(constB27)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28487, 8112, 28481, 28477])).
% 27.00/18.26 tff(28489,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28490,plain,
% 27.00/18.26 (((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28))) <=> (v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28491,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28))))),
% 27.00/18.26 inference(monotonicity,[status(thm)],[28490])).
% 27.00/18.26 tff(28492,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28)))),
% 27.00/18.26 inference(transitivity,[status(thm)],[28491, 28489])).
% 27.00/18.26 tff(28493,plain,
% 27.00/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB27, constB28)) | v163(constB27) | (~v186(constB28)))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28494,plain,
% 27.00/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB27) | (~nextState(constB27, constB28)) | (~v186(constB28))),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 27.00/18.26 tff(28495,plain,
% 27.00/18.26 (v163(constB27) | (~v186(constB28))),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28494, 19345, 3916])).
% 27.00/18.26 tff(28496,plain,
% 27.00/18.26 (~v186(constB28)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28495, 28488])).
% 27.00/18.26 tff(28497,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28498,plain,
% 27.00/18.26 (((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28)) <=> ((~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))),
% 27.00/18.26 inference(rewrite,[status(thm)],[])).
% 27.00/18.26 tff(28499,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v181(constB28) | v104(constB28)))),
% 27.00/18.26 inference(monotonicity,[status(thm)],[28498])).
% 27.00/18.26 tff(28500,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB27, constB28)) | v181(constB28) | v104(constB28))),
% 27.00/18.26 inference(transitivity,[status(thm)],[28499, 28497])).
% 27.00/18.26 tff(28501,plain,
% 27.00/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | v181(constB28))),
% 27.00/18.26 inference(quant_inst,[status(thm)],[])).
% 27.00/18.26 tff(28502,plain,
% 27.00/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB27, constB28)) | v181(constB28) | v104(constB28)),
% 27.00/18.26 inference(modus_ponens,[status(thm)],[28501, 28500])).
% 27.00/18.26 tff(28503,plain,
% 27.00/18.26 (v181(constB28) | v104(constB28)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28502, 19367, 3916])).
% 27.00/18.26 tff(28504,plain,
% 27.00/18.26 (v181(constB28)),
% 27.00/18.26 inference(unit_resolution,[status(thm)],[28503, 3928])).
% 27.00/18.26 tff(28505,plain,
% 27.00/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28506,plain,
% 27.00/18.27 (((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28))) <=> ((~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28507,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28506])).
% 27.00/18.27 tff(28508,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28507, 28505])).
% 27.00/18.27 tff(28509,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB27, constB28)) | (~v1(constB28)) | v180(constB28) | (~v181(constB28)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28510,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB27, constB28)) | v180(constB28) | (~v1(constB28)) | (~v181(constB28))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28509, 28508])).
% 27.00/18.27 tff(28511,plain,
% 27.00/18.27 (v180(constB28) | (~v181(constB28))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28510, 19385, 3916, 3939])).
% 27.00/18.27 tff(28512,plain,
% 27.00/18.27 (v180(constB28)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28511, 28504])).
% 27.00/18.27 tff(28513,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28514,plain,
% 27.00/18.27 (((~nextState(constB27, constB28)) | (~v180(constB28)) | v179(constB28)) <=> ((~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28515,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB27, constB28)) | (~v180(constB28)) | v179(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28514])).
% 27.00/18.27 tff(28516,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB27, constB28)) | (~v180(constB28)) | v179(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28515, 28513])).
% 27.00/18.27 tff(28517,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB27, constB28)) | (~v180(constB28)) | v179(constB28))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28518,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB27, constB28)) | v179(constB28) | (~v180(constB28))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28517, 28516])).
% 27.00/18.27 tff(28519,plain,
% 27.00/18.27 (v179(constB28) | (~v180(constB28))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28518, 19403, 3916])).
% 27.00/18.27 tff(28520,plain,
% 27.00/18.27 (v179(constB28)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28519, 28512])).
% 27.00/18.27 tff(28521,plain,
% 27.00/18.27 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB28) | (~v159(constB28)) | (~v179(constB28)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB28) | (~v159(constB28)) | (~v179(constB28)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28522,plain,
% 27.00/18.27 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB28) | (~v159(constB28)) | (~v179(constB28)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28523,plain,
% 27.00/18.27 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB28) | (~v159(constB28)) | (~v179(constB28))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28522, 28521])).
% 27.00/18.27 tff(28524,plain,
% 27.00/18.27 (v186(constB28) | (~v159(constB28))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28523, 19421, 28520])).
% 27.00/18.27 tff(28525,plain,
% 27.00/18.27 (~v159(constB28)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28524, 28496])).
% 27.00/18.27 tff(28526,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28527,plain,
% 27.00/18.27 (((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29))) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28528,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28527])).
% 27.00/18.27 tff(28529,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28528, 28526])).
% 27.00/18.27 tff(28530,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB28, constB29)) | v1(constB29) | (~v180(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28531,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v180(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28530, 28529])).
% 27.00/18.27 tff(28532,plain,
% 27.00/18.27 (~v180(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28531, 19439, 4023, 4020])).
% 27.00/18.27 tff(28533,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28534,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28535,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB28, constB29)) | v180(constB29) | (~v179(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28534, 28533])).
% 27.00/18.27 tff(28536,plain,
% 27.00/18.27 (v180(constB29) | (~v179(constB29))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28535, 19456, 4023])).
% 27.00/18.27 tff(28537,plain,
% 27.00/18.27 (~v179(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28536, 28532])).
% 27.00/18.27 tff(28538,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28539,plain,
% 27.00/18.27 (((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29))) <=> (v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28540,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28539])).
% 27.00/18.27 tff(28541,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28540, 28538])).
% 27.00/18.27 tff(28542,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB28, constB29)) | v179(constB29) | v159(constB28) | (~v159(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28543,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB28) | (~nextState(constB28, constB29)) | v179(constB29) | (~v159(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 27.00/18.27 tff(28544,plain,
% 27.00/18.27 (v159(constB28) | v179(constB29) | (~v159(constB29))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28543, 19471, 4023])).
% 27.00/18.27 tff(28545,plain,
% 27.00/18.27 (v159(constB28) | (~v159(constB29))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28544, 28537])).
% 27.00/18.27 tff(28546,plain,
% 27.00/18.27 (~v159(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28545, 28525])).
% 27.00/18.27 tff(28547,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB29) | (~v201(constB29)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB29) | (~v201(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28548,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB29) | (~v201(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28549,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB29) | (~v201(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28548, 28547])).
% 27.00/18.27 tff(28550,plain,
% 27.00/18.27 (~v201(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28549, 19490, 28546])).
% 27.00/18.27 tff(28551,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB29) | (~v200(constB29)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB29) | (~v200(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28552,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB29) | (~v200(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28553,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB29) | (~v200(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28552, 28551])).
% 27.00/18.27 tff(28554,plain,
% 27.00/18.27 (~v200(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28553, 8143, 28550])).
% 27.00/18.27 tff(28555,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB29) | (~v198(constB29)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB29) | (~v198(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28556,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB29) | (~v198(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28557,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB29) | (~v198(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 27.00/18.27 tff(28558,plain,
% 27.00/18.27 (~v198(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28557, 8157, 28554])).
% 27.00/18.27 tff(28559,assumption,(v18(constB30)), introduced(assumption)).
% 27.00/18.27 tff(28560,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB30))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28561,plain,
% 27.00/18.27 ($false),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28560, 8, 28559])).
% 27.00/18.27 tff(28562,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.27 tff(28563,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28564,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28565,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 27.00/18.27 tff(28566,plain,
% 27.00/18.27 (v22(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28565, 24, 4243])).
% 27.00/18.27 tff(28567,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28568,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28569,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 27.00/18.27 tff(28570,plain,
% 27.00/18.27 (v18(constB30) | (~v19(constB30))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28569, 38, 28566])).
% 27.00/18.27 tff(28571,plain,
% 27.00/18.27 (~v19(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28570, 28562])).
% 27.00/18.27 tff(28572,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28573,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28574,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 27.00/18.27 tff(28575,plain,
% 27.00/18.27 (v13(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28574, 50, 28571])).
% 27.00/18.27 tff(28576,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28577,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28578,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28577, 28576])).
% 27.00/18.27 tff(28579,plain,
% 27.00/18.27 (v9(constB29) | (~v13(constB30))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28578, 67, 4220])).
% 27.00/18.27 tff(28580,plain,
% 27.00/18.27 (v9(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28579, 28575])).
% 27.00/18.27 tff(28581,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v197(constB29))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB29) | (~v9(constB29)) | v197(constB29))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28582,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v197(constB29))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28583,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB29) | (~v9(constB29)) | v197(constB29)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28582, 28581])).
% 27.00/18.27 tff(28584,plain,
% 27.00/18.27 ((~v9(constB29)) | v197(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28583, 85, 4020])).
% 27.00/18.27 tff(28585,plain,
% 27.00/18.27 (v197(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28584, 28580])).
% 27.00/18.27 tff(28586,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB29) | (~v197(constB29)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB29) | (~v197(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28587,plain,
% 27.00/18.27 (((~v197(constB29)) | v196(constB29)) <=> (v196(constB29) | (~v197(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28588,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB29)) | v196(constB29))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB29) | (~v197(constB29))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28587])).
% 27.00/18.27 tff(28589,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB29)) | v196(constB29))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB29) | (~v197(constB29)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28588, 28586])).
% 27.00/18.27 tff(28590,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB29)) | v196(constB29))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28591,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB29) | (~v197(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28590, 28589])).
% 27.00/18.27 tff(28592,plain,
% 27.00/18.27 (v196(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28591, 97, 28585])).
% 27.00/18.27 tff(28593,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB29)) | (~v196(constB29)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB29)) | (~v196(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28594,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB29)) | (~v196(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28595,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB29)) | (~v196(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28594, 28593])).
% 27.00/18.27 tff(28596,plain,
% 27.00/18.27 (~v194(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28595, 108, 28592])).
% 27.00/18.27 tff(28597,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB29) | v198(constB29) | (~v191(constB29)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB29) | v198(constB29) | (~v191(constB29)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28598,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB29) | v198(constB29) | (~v191(constB29)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28599,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB29) | v198(constB29) | (~v191(constB29))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28598, 28597])).
% 27.00/18.27 tff(28600,plain,
% 27.00/18.27 (v198(constB29) | (~v191(constB29))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28599, 8171, 28596])).
% 27.00/18.27 tff(28601,plain,
% 27.00/18.27 (~v191(constB29)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28600, 28558])).
% 27.00/18.27 tff(28602,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28603,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28604,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB29, constB30)) | v191(constB29) | (~v193(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28603, 28602])).
% 27.00/18.27 tff(28605,plain,
% 27.00/18.27 (v191(constB29) | (~v193(constB30))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28604, 8186, 4220])).
% 27.00/18.27 tff(28606,plain,
% 27.00/18.27 (~v193(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28605, 28601])).
% 27.00/18.27 tff(28607,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB30) | (~v194(constB30)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB30) | (~v194(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28608,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB30) | (~v194(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28609,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB30) | (~v194(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28608, 28607])).
% 27.00/18.27 tff(28610,plain,
% 27.00/18.27 (~v194(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28609, 8201, 28606])).
% 27.00/18.27 tff(28611,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB30)) | (~v197(constB30)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB30)) | (~v197(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28612,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB30)) | (~v197(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28613,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB30)) | (~v197(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28612, 28611])).
% 27.00/18.27 tff(28614,plain,
% 27.00/18.27 (~v197(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28613, 8215, 4243])).
% 27.00/18.27 tff(28615,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB30) | (~v200(constB30)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB30) | (~v200(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28616,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB30) | (~v200(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28617,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB30) | (~v200(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28616, 28615])).
% 27.00/18.27 tff(28618,plain,
% 27.00/18.27 (~v200(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28617, 8229, 28614])).
% 27.00/18.27 tff(28619,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB30) | (~v198(constB30)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB30) | (~v198(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28620,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB30) | (~v198(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28621,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB30) | (~v198(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28620, 28619])).
% 27.00/18.27 tff(28622,plain,
% 27.00/18.27 (~v198(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28621, 8157, 28618])).
% 27.00/18.27 tff(28623,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB30) | v198(constB30) | (~v191(constB30)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB30) | v198(constB30) | (~v191(constB30)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28624,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB30) | v198(constB30) | (~v191(constB30)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28625,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB30) | v198(constB30) | (~v191(constB30))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28624, 28623])).
% 27.00/18.27 tff(28626,plain,
% 27.00/18.27 (v194(constB30) | (~v191(constB30))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28625, 8171, 28622])).
% 27.00/18.27 tff(28627,plain,
% 27.00/18.27 (~v191(constB30)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28626, 28610])).
% 27.00/18.27 tff(28628,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28629,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28630,plain,
% 27.00/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB30, constB31)) | v191(constB30) | (~v193(constB31))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28629, 28628])).
% 27.00/18.27 tff(28631,plain,
% 27.00/18.27 (v191(constB30) | (~v193(constB31))),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28630, 8186, 4288])).
% 27.00/18.27 tff(28632,plain,
% 27.00/18.27 (~v193(constB31)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28631, 28627])).
% 27.00/18.27 tff(28633,plain,
% 27.00/18.27 ($false),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28632, 28439])).
% 27.00/18.27 tff(28634,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.27 tff(28635,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.27 tff(28636,plain,
% 27.00/18.27 (v193(constB55) <=> v193(sK0_VarCurr)),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28635])).
% 27.00/18.27 tff(28637,plain,
% 27.00/18.27 (v193(sK0_VarCurr) <=> v193(constB55)),
% 27.00/18.27 inference(symmetry,[status(thm)],[28636])).
% 27.00/18.27 tff(28638,plain,
% 27.00/18.27 (v193(constB55)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[8270, 28637])).
% 27.00/18.27 tff(28639,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB51, bitIndex2)) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB51, bitIndex2)) | v90(constB51, bitIndex2))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28640,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB51, bitIndex2)) | v90(constB51, bitIndex2))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28641,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB51, bitIndex2)) | v90(constB51, bitIndex2)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28640, 28639])).
% 27.00/18.27 tff(28642,plain,
% 27.00/18.27 (~v88(constB51, bitIndex2)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28641, 25366, 6869])).
% 27.00/18.27 tff(28643,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB51, bitIndex1)) | v90(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB51, bitIndex1)) | v90(constB51, bitIndex1))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28644,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB51, bitIndex1)) | v90(constB51, bitIndex1))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28645,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB51, bitIndex1)) | v90(constB51, bitIndex1)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 27.00/18.27 tff(28646,plain,
% 27.00/18.27 (~v88(constB51, bitIndex1)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28645, 25377, 6903])).
% 27.00/18.27 tff(28647,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28648,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28649,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28648, 28647])).
% 27.00/18.27 tff(28650,plain,
% 27.00/18.27 (v88(constB51, bitIndex0)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28649, 26352, 6934])).
% 27.00/18.27 tff(28651,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28652,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28653,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28652, 28651])).
% 27.00/18.27 tff(28654,plain,
% 27.00/18.27 (v140(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28653, 26773, 28650, 28646, 28642])).
% 27.00/18.27 tff(28655,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB51) | (~v140(constB51)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB51) | (~v140(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28656,plain,
% 27.00/18.27 (((~v140(constB51)) | v169(constB51)) <=> (v169(constB51) | (~v140(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28657,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB51)) | v169(constB51))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB51) | (~v140(constB51))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28656])).
% 27.00/18.27 tff(28658,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB51)) | v169(constB51))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB51) | (~v140(constB51)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28657, 28655])).
% 27.00/18.27 tff(28659,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB51)) | v169(constB51))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28660,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB51) | (~v140(constB51))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28659, 28658])).
% 27.00/18.27 tff(28661,plain,
% 27.00/18.27 (v169(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28660, 26787, 28654])).
% 27.00/18.27 tff(28662,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB51) | (~v169(constB51)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB51) | (~v169(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28663,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB51) | (~v169(constB51)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28664,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB51) | (~v169(constB51))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28663, 28662])).
% 27.00/18.27 tff(28665,plain,
% 27.00/18.27 (v168(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28664, 23060, 28661])).
% 27.00/18.27 tff(28666,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB51) | (~v168(constB51)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB51) | (~v168(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28667,plain,
% 27.00/18.27 (((~v168(constB51)) | v167(constB51)) <=> (v167(constB51) | (~v168(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28668,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB51)) | v167(constB51))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB51) | (~v168(constB51))))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28667])).
% 27.00/18.27 tff(28669,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB51)) | v167(constB51))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB51) | (~v168(constB51)))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28668, 28666])).
% 27.00/18.27 tff(28670,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB51)) | v167(constB51))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28671,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB51) | (~v168(constB51))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28670, 28669])).
% 27.00/18.27 tff(28672,plain,
% 27.00/18.27 (v167(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28671, 23043, 28665])).
% 27.00/18.27 tff(28673,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB51)) | (~v170(constB51)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB51)) | (~v170(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28674,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB51)) | (~v170(constB51)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28675,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB51)) | (~v170(constB51))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28674, 28673])).
% 27.00/18.27 tff(28676,plain,
% 27.00/18.27 (~v170(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28675, 8084, 28672])).
% 27.00/18.27 tff(28677,plain,
% 27.00/18.27 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB51) | (~v167(constB51)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB51) | (~v167(constB51)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28678,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB51) | (~v167(constB51)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28679,plain,
% 27.00/18.27 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB51) | (~v167(constB51))),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28678, 28677])).
% 27.00/18.27 tff(28680,plain,
% 27.00/18.27 (v166(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28679, 8098, 28672])).
% 27.00/18.27 tff(28681,plain,
% 27.00/18.27 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB51)) | (~v166(constB51)) | v170(constB51))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB51)) | (~v166(constB51)) | v170(constB51))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28682,plain,
% 27.00/18.27 (((~v166(constB51)) | v170(constB51) | (~v163(constB51))) <=> ((~v163(constB51)) | (~v166(constB51)) | v170(constB51))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28683,plain,
% 27.00/18.27 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB51)) | v170(constB51) | (~v163(constB51)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB51)) | (~v166(constB51)) | v170(constB51)))),
% 27.00/18.27 inference(monotonicity,[status(thm)],[28682])).
% 27.00/18.27 tff(28684,plain,
% 27.00/18.27 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB51)) | v170(constB51) | (~v163(constB51)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB51)) | (~v166(constB51)) | v170(constB51))),
% 27.00/18.27 inference(transitivity,[status(thm)],[28683, 28681])).
% 27.00/18.27 tff(28685,plain,
% 27.00/18.27 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB51)) | v170(constB51) | (~v163(constB51)))),
% 27.00/18.27 inference(quant_inst,[status(thm)],[])).
% 27.00/18.27 tff(28686,plain,
% 27.00/18.27 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB51)) | (~v166(constB51)) | v170(constB51)),
% 27.00/18.27 inference(modus_ponens,[status(thm)],[28685, 28684])).
% 27.00/18.27 tff(28687,plain,
% 27.00/18.27 (~v163(constB51)),
% 27.00/18.27 inference(unit_resolution,[status(thm)],[28686, 8112, 28680, 28676])).
% 27.00/18.27 tff(28688,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB51) | (~nextState(constB51, constB52)) | (~v186(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB51) | (~nextState(constB51, constB52)) | (~v186(constB52)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28689,plain,
% 27.00/18.27 (((~nextState(constB51, constB52)) | v163(constB51) | (~v186(constB52))) <=> (v163(constB51) | (~nextState(constB51, constB52)) | (~v186(constB52)))),
% 27.00/18.27 inference(rewrite,[status(thm)],[])).
% 27.00/18.27 tff(28690,plain,
% 27.00/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB51, constB52)) | v163(constB51) | (~v186(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB51) | (~nextState(constB51, constB52)) | (~v186(constB52))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28689])).
% 27.00/18.28 tff(28691,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB51, constB52)) | v163(constB51) | (~v186(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB51) | (~nextState(constB51, constB52)) | (~v186(constB52)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28690, 28688])).
% 27.00/18.28 tff(28692,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB51, constB52)) | v163(constB51) | (~v186(constB52)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28693,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB51) | (~nextState(constB51, constB52)) | (~v186(constB52))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28692, 28691])).
% 27.00/18.28 tff(28694,plain,
% 27.00/18.28 (v163(constB51) | (~v186(constB52))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28693, 19345, 6999])).
% 27.00/18.28 tff(28695,plain,
% 27.00/18.28 (~v186(constB52)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28694, 28687])).
% 27.00/18.28 tff(28696,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB51, constB52)) | v181(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB51, constB52)) | v181(constB52) | v104(constB52))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28697,plain,
% 27.00/18.28 (((~nextState(constB51, constB52)) | v104(constB52) | v181(constB52)) <=> ((~nextState(constB51, constB52)) | v181(constB52) | v104(constB52))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28698,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v181(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB51, constB52)) | v181(constB52) | v104(constB52)))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28697])).
% 27.00/18.28 tff(28699,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v181(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB51, constB52)) | v181(constB52) | v104(constB52))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28698, 28696])).
% 27.00/18.28 tff(28700,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | v181(constB52))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28701,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB51, constB52)) | v181(constB52) | v104(constB52)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28700, 28699])).
% 27.00/18.28 tff(28702,plain,
% 27.00/18.28 (v181(constB52) | v104(constB52)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28701, 19367, 6999])).
% 27.00/18.28 tff(28703,plain,
% 27.00/18.28 (v181(constB52)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28702, 7011])).
% 27.00/18.28 tff(28704,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB51, constB52)) | v180(constB52) | (~v1(constB52)) | (~v181(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB51, constB52)) | v180(constB52) | (~v1(constB52)) | (~v181(constB52)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28705,plain,
% 27.00/18.28 (((~nextState(constB51, constB52)) | (~v1(constB52)) | v180(constB52) | (~v181(constB52))) <=> ((~nextState(constB51, constB52)) | v180(constB52) | (~v1(constB52)) | (~v181(constB52)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28706,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v180(constB52) | (~v181(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB51, constB52)) | v180(constB52) | (~v1(constB52)) | (~v181(constB52))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28705])).
% 27.00/18.28 tff(28707,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v180(constB52) | (~v181(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB51, constB52)) | v180(constB52) | (~v1(constB52)) | (~v181(constB52)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28706, 28704])).
% 27.00/18.28 tff(28708,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB51, constB52)) | (~v1(constB52)) | v180(constB52) | (~v181(constB52)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28709,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB51, constB52)) | v180(constB52) | (~v1(constB52)) | (~v181(constB52))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 27.00/18.28 tff(28710,plain,
% 27.00/18.28 (v180(constB52) | (~v181(constB52))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28709, 19385, 6999, 7022])).
% 27.00/18.28 tff(28711,plain,
% 27.00/18.28 (v180(constB52)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28710, 28703])).
% 27.00/18.28 tff(28712,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB51, constB52)) | v179(constB52) | (~v180(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB51, constB52)) | v179(constB52) | (~v180(constB52)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28713,plain,
% 27.00/18.28 (((~nextState(constB51, constB52)) | (~v180(constB52)) | v179(constB52)) <=> ((~nextState(constB51, constB52)) | v179(constB52) | (~v180(constB52)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28714,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB51, constB52)) | (~v180(constB52)) | v179(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB51, constB52)) | v179(constB52) | (~v180(constB52))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28713])).
% 27.00/18.28 tff(28715,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB51, constB52)) | (~v180(constB52)) | v179(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB51, constB52)) | v179(constB52) | (~v180(constB52)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28714, 28712])).
% 27.00/18.28 tff(28716,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB51, constB52)) | (~v180(constB52)) | v179(constB52))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28717,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB51, constB52)) | v179(constB52) | (~v180(constB52))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28716, 28715])).
% 27.00/18.28 tff(28718,plain,
% 27.00/18.28 (v179(constB52) | (~v180(constB52))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28717, 19403, 6999])).
% 27.00/18.28 tff(28719,plain,
% 27.00/18.28 (v179(constB52)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28718, 28711])).
% 27.00/18.28 tff(28720,plain,
% 27.00/18.28 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB52) | (~v159(constB52)) | (~v179(constB52)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB52) | (~v159(constB52)) | (~v179(constB52)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28721,plain,
% 27.00/18.28 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB52) | (~v159(constB52)) | (~v179(constB52)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28722,plain,
% 27.00/18.28 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB52) | (~v159(constB52)) | (~v179(constB52))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28721, 28720])).
% 27.00/18.28 tff(28723,plain,
% 27.00/18.28 (v186(constB52) | (~v159(constB52))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28722, 19421, 28719])).
% 27.00/18.28 tff(28724,plain,
% 27.00/18.28 (~v159(constB52)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28723, 28695])).
% 27.00/18.28 tff(28725,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v180(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v180(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28726,plain,
% 27.00/18.28 (((~nextState(constB52, constB53)) | v1(constB53) | (~v180(constB53))) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v180(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28727,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB52, constB53)) | v1(constB53) | (~v180(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v180(constB53))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28726])).
% 27.00/18.28 tff(28728,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB52, constB53)) | v1(constB53) | (~v180(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v180(constB53)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28727, 28725])).
% 27.00/18.28 tff(28729,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB52, constB53)) | v1(constB53) | (~v180(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28730,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v180(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28729, 28728])).
% 27.00/18.28 tff(28731,plain,
% 27.00/18.28 (~v180(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28730, 19439, 7067, 7064])).
% 27.00/18.28 tff(28732,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB52, constB53)) | v180(constB53) | (~v179(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB52, constB53)) | v180(constB53) | (~v179(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28733,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB52, constB53)) | v180(constB53) | (~v179(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28734,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB52, constB53)) | v180(constB53) | (~v179(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 27.00/18.28 tff(28735,plain,
% 27.00/18.28 (v180(constB53) | (~v179(constB53))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28734, 19456, 7067])).
% 27.00/18.28 tff(28736,plain,
% 27.00/18.28 (~v179(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28735, 28731])).
% 27.00/18.28 tff(28737,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB52) | (~nextState(constB52, constB53)) | v179(constB53) | (~v159(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB52) | (~nextState(constB52, constB53)) | v179(constB53) | (~v159(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28738,plain,
% 27.00/18.28 (((~nextState(constB52, constB53)) | v179(constB53) | v159(constB52) | (~v159(constB53))) <=> (v159(constB52) | (~nextState(constB52, constB53)) | v179(constB53) | (~v159(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28739,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB52, constB53)) | v179(constB53) | v159(constB52) | (~v159(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB52) | (~nextState(constB52, constB53)) | v179(constB53) | (~v159(constB53))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28738])).
% 27.00/18.28 tff(28740,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB52, constB53)) | v179(constB53) | v159(constB52) | (~v159(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB52) | (~nextState(constB52, constB53)) | v179(constB53) | (~v159(constB53)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28739, 28737])).
% 27.00/18.28 tff(28741,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB52, constB53)) | v179(constB53) | v159(constB52) | (~v159(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28742,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB52) | (~nextState(constB52, constB53)) | v179(constB53) | (~v159(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 27.00/18.28 tff(28743,plain,
% 27.00/18.28 (v159(constB52) | v179(constB53) | (~v159(constB53))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28742, 19471, 7067])).
% 27.00/18.28 tff(28744,plain,
% 27.00/18.28 (v159(constB52) | (~v159(constB53))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28743, 28736])).
% 27.00/18.28 tff(28745,plain,
% 27.00/18.28 (~v159(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28744, 28724])).
% 27.00/18.28 tff(28746,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB53) | (~v201(constB53)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB53) | (~v201(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28747,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB53) | (~v201(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28748,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB53) | (~v201(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28747, 28746])).
% 27.00/18.28 tff(28749,plain,
% 27.00/18.28 (~v201(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28748, 19490, 28745])).
% 27.00/18.28 tff(28750,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB53) | (~v200(constB53)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB53) | (~v200(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28751,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB53) | (~v200(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28752,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB53) | (~v200(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28751, 28750])).
% 27.00/18.28 tff(28753,plain,
% 27.00/18.28 (~v200(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28752, 8143, 28749])).
% 27.00/18.28 tff(28754,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB53) | (~v198(constB53)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB53) | (~v198(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28755,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB53) | (~v198(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28756,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB53) | (~v198(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28755, 28754])).
% 27.00/18.28 tff(28757,plain,
% 27.00/18.28 (~v198(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28756, 8157, 28753])).
% 27.00/18.28 tff(28758,assumption,(v18(constB54)), introduced(assumption)).
% 27.00/18.28 tff(28759,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB54))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28760,plain,
% 27.00/18.28 ($false),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28759, 8, 28758])).
% 27.00/18.28 tff(28761,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.28 tff(28762,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28763,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28764,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28763, 28762])).
% 27.00/18.28 tff(28765,plain,
% 27.00/18.28 (v22(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28764, 24, 7222])).
% 27.00/18.28 tff(28766,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28767,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28768,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28767, 28766])).
% 27.00/18.28 tff(28769,plain,
% 27.00/18.28 (v18(constB54) | (~v19(constB54))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28768, 38, 28765])).
% 27.00/18.28 tff(28770,plain,
% 27.00/18.28 (~v19(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28769, 28761])).
% 27.00/18.28 tff(28771,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28772,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28773,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28772, 28771])).
% 27.00/18.28 tff(28774,plain,
% 27.00/18.28 (v13(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28773, 50, 28770])).
% 27.00/18.28 tff(28775,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28776,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28777,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28776, 28775])).
% 27.00/18.28 tff(28778,plain,
% 27.00/18.28 (v9(constB53) | (~v13(constB54))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28777, 67, 7199])).
% 27.00/18.28 tff(28779,plain,
% 27.00/18.28 (v9(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28778, 28774])).
% 27.00/18.28 tff(28780,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v197(constB53))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB53) | (~v9(constB53)) | v197(constB53))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28781,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v197(constB53))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28782,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB53) | (~v9(constB53)) | v197(constB53)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28781, 28780])).
% 27.00/18.28 tff(28783,plain,
% 27.00/18.28 ((~v9(constB53)) | v197(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28782, 85, 7064])).
% 27.00/18.28 tff(28784,plain,
% 27.00/18.28 (v197(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28783, 28779])).
% 27.00/18.28 tff(28785,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB53) | (~v197(constB53)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB53) | (~v197(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28786,plain,
% 27.00/18.28 (((~v197(constB53)) | v196(constB53)) <=> (v196(constB53) | (~v197(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28787,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB53)) | v196(constB53))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB53) | (~v197(constB53))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28786])).
% 27.00/18.28 tff(28788,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB53)) | v196(constB53))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB53) | (~v197(constB53)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28787, 28785])).
% 27.00/18.28 tff(28789,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB53)) | v196(constB53))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28790,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB53) | (~v197(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 27.00/18.28 tff(28791,plain,
% 27.00/18.28 (v196(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28790, 97, 28784])).
% 27.00/18.28 tff(28792,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB53)) | (~v196(constB53)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB53)) | (~v196(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28793,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB53)) | (~v196(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28794,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB53)) | (~v196(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 27.00/18.28 tff(28795,plain,
% 27.00/18.28 (~v194(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28794, 108, 28791])).
% 27.00/18.28 tff(28796,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB53) | v198(constB53) | (~v191(constB53)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB53) | v198(constB53) | (~v191(constB53)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28797,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB53) | v198(constB53) | (~v191(constB53)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28798,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB53) | v198(constB53) | (~v191(constB53))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 27.00/18.28 tff(28799,plain,
% 27.00/18.28 (v198(constB53) | (~v191(constB53))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28798, 8171, 28795])).
% 27.00/18.28 tff(28800,plain,
% 27.00/18.28 (~v191(constB53)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28799, 28757])).
% 27.00/18.28 tff(28801,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB53, constB54)) | v191(constB53) | (~v193(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB53, constB54)) | v191(constB53) | (~v193(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28802,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB53, constB54)) | v191(constB53) | (~v193(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28803,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB53, constB54)) | v191(constB53) | (~v193(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28802, 28801])).
% 27.00/18.28 tff(28804,plain,
% 27.00/18.28 (v191(constB53) | (~v193(constB54))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28803, 8186, 7199])).
% 27.00/18.28 tff(28805,plain,
% 27.00/18.28 (~v193(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28804, 28800])).
% 27.00/18.28 tff(28806,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB54) | (~v194(constB54)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB54) | (~v194(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28807,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB54) | (~v194(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28808,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB54) | (~v194(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28807, 28806])).
% 27.00/18.28 tff(28809,plain,
% 27.00/18.28 (~v194(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28808, 8201, 28805])).
% 27.00/18.28 tff(28810,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB54)) | (~v197(constB54)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB54)) | (~v197(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28811,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB54)) | (~v197(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28812,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB54)) | (~v197(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28811, 28810])).
% 27.00/18.28 tff(28813,plain,
% 27.00/18.28 (~v197(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28812, 8215, 7222])).
% 27.00/18.28 tff(28814,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB54) | (~v200(constB54)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB54) | (~v200(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28815,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB54) | (~v200(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28816,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB54) | (~v200(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28815, 28814])).
% 27.00/18.28 tff(28817,plain,
% 27.00/18.28 (~v200(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28816, 8229, 28813])).
% 27.00/18.28 tff(28818,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB54) | (~v198(constB54)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB54) | (~v198(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28819,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB54) | (~v198(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28820,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB54) | (~v198(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 27.00/18.28 tff(28821,plain,
% 27.00/18.28 (~v198(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28820, 8157, 28817])).
% 27.00/18.28 tff(28822,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB54) | v198(constB54) | (~v191(constB54)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB54) | v198(constB54) | (~v191(constB54)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28823,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB54) | v198(constB54) | (~v191(constB54)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28824,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB54) | v198(constB54) | (~v191(constB54))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 27.00/18.28 tff(28825,plain,
% 27.00/18.28 (v194(constB54) | (~v191(constB54))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28824, 8171, 28821])).
% 27.00/18.28 tff(28826,plain,
% 27.00/18.28 (~v191(constB54)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28825, 28809])).
% 27.00/18.28 tff(28827,plain,
% 27.00/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB54, constB55)) | v191(constB54) | (~v193(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB54, constB55)) | v191(constB54) | (~v193(constB55)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28828,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB54, constB55)) | v191(constB54) | (~v193(constB55)))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28829,plain,
% 27.00/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB54, constB55)) | v191(constB54) | (~v193(constB55))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28828, 28827])).
% 27.00/18.28 tff(28830,plain,
% 27.00/18.28 (v191(constB54) | (~v193(constB55))),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28829, 8186, 7267])).
% 27.00/18.28 tff(28831,plain,
% 27.00/18.28 (~v193(constB55)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28830, 28826])).
% 27.00/18.28 tff(28832,plain,
% 27.00/18.28 ($false),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28831, 28638])).
% 27.00/18.28 tff(28833,plain,(~(constB55 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.28 tff(28834,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.28 tff(28835,plain,
% 27.00/18.28 (v1(constB126) <=> v1(sK0_VarCurr)),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28834])).
% 27.00/18.28 tff(28836,plain,
% 27.00/18.28 (v1(sK0_VarCurr) <=> v1(constB126)),
% 27.00/18.28 inference(symmetry,[status(thm)],[28835])).
% 27.00/18.28 tff(28837,plain,
% 27.00/18.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28836])).
% 27.00/18.28 tff(28838,plain,
% 27.00/18.28 (~v1(constB126)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[25165, 28837])).
% 27.00/18.28 tff(28839,plain,
% 27.00/18.28 ($false),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[15992, 28838])).
% 27.00/18.28 tff(28840,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.28 tff(28841,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.28 tff(28842,plain,
% 27.00/18.28 (v193(constB7) <=> v193(sK0_VarCurr)),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28841])).
% 27.00/18.28 tff(28843,plain,
% 27.00/18.28 (v193(sK0_VarCurr) <=> v193(constB7)),
% 27.00/18.28 inference(symmetry,[status(thm)],[28842])).
% 27.00/18.28 tff(28844,plain,
% 27.00/18.28 (v193(constB7)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[8270, 28843])).
% 27.00/18.28 tff(28845,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB3, bitIndex2)) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB3, bitIndex2)) | v90(constB3, bitIndex2))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28846,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB3, bitIndex2)) | v90(constB3, bitIndex2))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28847,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB3, bitIndex2)) | v90(constB3, bitIndex2)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 27.00/18.28 tff(28848,plain,
% 27.00/18.28 (~v88(constB3, bitIndex2)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28847, 25366, 730])).
% 27.00/18.28 tff(28849,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28850,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28851,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB3, bitIndex1)) | v90(constB3, bitIndex1)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28850, 28849])).
% 27.00/18.28 tff(28852,plain,
% 27.00/18.28 (~v88(constB3, bitIndex1)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28851, 25377, 801])).
% 27.00/18.28 tff(28853,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28854,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28855,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28854, 28853])).
% 27.00/18.28 tff(28856,plain,
% 27.00/18.28 (v88(constB3, bitIndex0)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28855, 26352, 879])).
% 27.00/18.28 tff(28857,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28858,plain,
% 27.00/18.28 ((v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3)) <=> (v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28859,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3)))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28858])).
% 27.00/18.28 tff(28860,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28859, 28857])).
% 27.00/18.28 tff(28861,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28862,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3)),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 27.00/18.28 tff(28863,plain,
% 27.00/18.28 (v140(constB3)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28862, 26773, 28856, 28852, 28848])).
% 27.00/18.28 tff(28864,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB3) | (~v140(constB3)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB3) | (~v140(constB3)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28865,plain,
% 27.00/18.28 (((~v140(constB3)) | v169(constB3)) <=> (v169(constB3) | (~v140(constB3)))),
% 27.00/18.28 inference(rewrite,[status(thm)],[])).
% 27.00/18.28 tff(28866,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB3)) | v169(constB3))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB3) | (~v140(constB3))))),
% 27.00/18.28 inference(monotonicity,[status(thm)],[28865])).
% 27.00/18.28 tff(28867,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB3)) | v169(constB3))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB3) | (~v140(constB3)))),
% 27.00/18.28 inference(transitivity,[status(thm)],[28866, 28864])).
% 27.00/18.28 tff(28868,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB3)) | v169(constB3))),
% 27.00/18.28 inference(quant_inst,[status(thm)],[])).
% 27.00/18.28 tff(28869,plain,
% 27.00/18.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB3) | (~v140(constB3))),
% 27.00/18.28 inference(modus_ponens,[status(thm)],[28868, 28867])).
% 27.00/18.28 tff(28870,plain,
% 27.00/18.28 (v169(constB3)),
% 27.00/18.28 inference(unit_resolution,[status(thm)],[28869, 26787, 28863])).
% 27.00/18.28 tff(28871,plain,
% 27.00/18.28 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB3) | (~v169(constB3)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB3) | (~v169(constB3)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28872,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB3) | (~v169(constB3)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28873,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB3) | (~v169(constB3))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 27.00/18.29 tff(28874,plain,
% 27.00/18.29 (v168(constB3)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28873, 23060, 28870])).
% 27.00/18.29 tff(28875,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB3)) | v167(constB3))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB3)) | v167(constB3))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28876,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB3)) | v167(constB3))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28877,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB3)) | v167(constB3)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28876, 28875])).
% 27.00/18.29 tff(28878,plain,
% 27.00/18.29 (v167(constB3)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28877, 23043, 28874])).
% 27.00/18.29 tff(28879,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB3)) | (~v170(constB3)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB3)) | (~v170(constB3)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28880,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB3)) | (~v170(constB3)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28881,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB3)) | (~v170(constB3))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28880, 28879])).
% 27.00/18.29 tff(28882,plain,
% 27.00/18.29 (~v170(constB3)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28881, 8084, 28878])).
% 27.00/18.29 tff(28883,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB3) | (~v167(constB3)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB3) | (~v167(constB3)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28884,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB3) | (~v167(constB3)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28885,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB3) | (~v167(constB3))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28884, 28883])).
% 27.00/18.29 tff(28886,plain,
% 27.00/18.29 (v166(constB3)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28885, 8098, 28878])).
% 27.00/18.29 tff(28887,plain,
% 27.00/18.29 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB3)) | (~v166(constB3)) | v170(constB3))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB3)) | (~v166(constB3)) | v170(constB3))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28888,plain,
% 27.00/18.29 (((~v166(constB3)) | v170(constB3) | (~v163(constB3))) <=> ((~v163(constB3)) | (~v166(constB3)) | v170(constB3))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28889,plain,
% 27.00/18.29 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB3)) | v170(constB3) | (~v163(constB3)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB3)) | (~v166(constB3)) | v170(constB3)))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28888])).
% 27.00/18.29 tff(28890,plain,
% 27.00/18.29 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB3)) | v170(constB3) | (~v163(constB3)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB3)) | (~v166(constB3)) | v170(constB3))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28889, 28887])).
% 27.00/18.29 tff(28891,plain,
% 27.00/18.29 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB3)) | v170(constB3) | (~v163(constB3)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28892,plain,
% 27.00/18.29 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB3)) | (~v166(constB3)) | v170(constB3)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28891, 28890])).
% 27.00/18.29 tff(28893,plain,
% 27.00/18.29 (~v163(constB3)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28892, 8112, 28886, 28882])).
% 27.00/18.29 tff(28894,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB3) | (~nextState(constB3, constB4)) | (~v186(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB3) | (~nextState(constB3, constB4)) | (~v186(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28895,plain,
% 27.00/18.29 (((~nextState(constB3, constB4)) | v163(constB3) | (~v186(constB4))) <=> (v163(constB3) | (~nextState(constB3, constB4)) | (~v186(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28896,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB3, constB4)) | v163(constB3) | (~v186(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB3) | (~nextState(constB3, constB4)) | (~v186(constB4))))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28895])).
% 27.00/18.29 tff(28897,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB3, constB4)) | v163(constB3) | (~v186(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB3) | (~nextState(constB3, constB4)) | (~v186(constB4)))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28896, 28894])).
% 27.00/18.29 tff(28898,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB3, constB4)) | v163(constB3) | (~v186(constB4)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28899,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB3) | (~nextState(constB3, constB4)) | (~v186(constB4))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 27.00/18.29 tff(28900,plain,
% 27.00/18.29 (v163(constB3) | (~v186(constB4))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28899, 19345, 958])).
% 27.00/18.29 tff(28901,plain,
% 27.00/18.29 (~v186(constB4)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28900, 28893])).
% 27.00/18.29 tff(28902,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB3, constB4)) | v181(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB3, constB4)) | v181(constB4) | v104(constB4))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28903,plain,
% 27.00/18.29 (((~nextState(constB3, constB4)) | v104(constB4) | v181(constB4)) <=> ((~nextState(constB3, constB4)) | v181(constB4) | v104(constB4))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28904,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v181(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB3, constB4)) | v181(constB4) | v104(constB4)))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28903])).
% 27.00/18.29 tff(28905,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v181(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB3, constB4)) | v181(constB4) | v104(constB4))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28904, 28902])).
% 27.00/18.29 tff(28906,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | v181(constB4))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28907,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB3, constB4)) | v181(constB4) | v104(constB4)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28906, 28905])).
% 27.00/18.29 tff(28908,plain,
% 27.00/18.29 (v181(constB4) | v104(constB4)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28907, 19367, 958])).
% 27.00/18.29 tff(28909,plain,
% 27.00/18.29 (v181(constB4)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28908, 970])).
% 27.00/18.29 tff(28910,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB3, constB4)) | v180(constB4) | (~v1(constB4)) | (~v181(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB3, constB4)) | v180(constB4) | (~v1(constB4)) | (~v181(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28911,plain,
% 27.00/18.29 (((~nextState(constB3, constB4)) | (~v1(constB4)) | v180(constB4) | (~v181(constB4))) <=> ((~nextState(constB3, constB4)) | v180(constB4) | (~v1(constB4)) | (~v181(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28912,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v180(constB4) | (~v181(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB3, constB4)) | v180(constB4) | (~v1(constB4)) | (~v181(constB4))))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28911])).
% 27.00/18.29 tff(28913,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v180(constB4) | (~v181(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB3, constB4)) | v180(constB4) | (~v1(constB4)) | (~v181(constB4)))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28912, 28910])).
% 27.00/18.29 tff(28914,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB4)) | v180(constB4) | (~v181(constB4)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28915,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB3, constB4)) | v180(constB4) | (~v1(constB4)) | (~v181(constB4))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 27.00/18.29 tff(28916,plain,
% 27.00/18.29 (v180(constB4) | (~v181(constB4))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28915, 19385, 958, 981])).
% 27.00/18.29 tff(28917,plain,
% 27.00/18.29 (v180(constB4)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28916, 28909])).
% 27.00/18.29 tff(28918,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB3, constB4)) | v179(constB4) | (~v180(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB3, constB4)) | v179(constB4) | (~v180(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28919,plain,
% 27.00/18.29 (((~nextState(constB3, constB4)) | (~v180(constB4)) | v179(constB4)) <=> ((~nextState(constB3, constB4)) | v179(constB4) | (~v180(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28920,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB3, constB4)) | (~v180(constB4)) | v179(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB3, constB4)) | v179(constB4) | (~v180(constB4))))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28919])).
% 27.00/18.29 tff(28921,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB3, constB4)) | (~v180(constB4)) | v179(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB3, constB4)) | v179(constB4) | (~v180(constB4)))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28920, 28918])).
% 27.00/18.29 tff(28922,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB3, constB4)) | (~v180(constB4)) | v179(constB4))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28923,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB3, constB4)) | v179(constB4) | (~v180(constB4))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 27.00/18.29 tff(28924,plain,
% 27.00/18.29 (v179(constB4) | (~v180(constB4))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28923, 19403, 958])).
% 27.00/18.29 tff(28925,plain,
% 27.00/18.29 (v179(constB4)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28924, 28917])).
% 27.00/18.29 tff(28926,plain,
% 27.00/18.29 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB4) | (~v159(constB4)) | (~v179(constB4)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB4) | (~v159(constB4)) | (~v179(constB4)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28927,plain,
% 27.00/18.29 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB4) | (~v159(constB4)) | (~v179(constB4)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28928,plain,
% 27.00/18.29 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB4) | (~v159(constB4)) | (~v179(constB4))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28927, 28926])).
% 27.00/18.29 tff(28929,plain,
% 27.00/18.29 (v186(constB4) | (~v159(constB4))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28928, 19421, 28925])).
% 27.00/18.29 tff(28930,plain,
% 27.00/18.29 (~v159(constB4)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28929, 28901])).
% 27.00/18.29 tff(28931,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v180(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v180(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28932,plain,
% 27.00/18.29 (((~nextState(constB4, constB5)) | v1(constB5) | (~v180(constB5))) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v180(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28933,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB4, constB5)) | v1(constB5) | (~v180(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v180(constB5))))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28932])).
% 27.00/18.29 tff(28934,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB4, constB5)) | v1(constB5) | (~v180(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v180(constB5)))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28933, 28931])).
% 27.00/18.29 tff(28935,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB4, constB5)) | v1(constB5) | (~v180(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28936,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v180(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 27.00/18.29 tff(28937,plain,
% 27.00/18.29 (~v180(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28936, 19439, 1033, 1030])).
% 27.00/18.29 tff(28938,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB4, constB5)) | v180(constB5) | (~v179(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB4, constB5)) | v180(constB5) | (~v179(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28939,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB4, constB5)) | v180(constB5) | (~v179(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28940,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB4, constB5)) | v180(constB5) | (~v179(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 27.00/18.29 tff(28941,plain,
% 27.00/18.29 (v180(constB5) | (~v179(constB5))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28940, 19456, 1033])).
% 27.00/18.29 tff(28942,plain,
% 27.00/18.29 (~v179(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28941, 28937])).
% 27.00/18.29 tff(28943,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB4) | (~nextState(constB4, constB5)) | v179(constB5) | (~v159(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB4) | (~nextState(constB4, constB5)) | v179(constB5) | (~v159(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28944,plain,
% 27.00/18.29 (((~nextState(constB4, constB5)) | v179(constB5) | v159(constB4) | (~v159(constB5))) <=> (v159(constB4) | (~nextState(constB4, constB5)) | v179(constB5) | (~v159(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28945,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB4, constB5)) | v179(constB5) | v159(constB4) | (~v159(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB4) | (~nextState(constB4, constB5)) | v179(constB5) | (~v159(constB5))))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[28944])).
% 27.00/18.29 tff(28946,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB4, constB5)) | v179(constB5) | v159(constB4) | (~v159(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB4) | (~nextState(constB4, constB5)) | v179(constB5) | (~v159(constB5)))),
% 27.00/18.29 inference(transitivity,[status(thm)],[28945, 28943])).
% 27.00/18.29 tff(28947,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB4, constB5)) | v179(constB5) | v159(constB4) | (~v159(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28948,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB4) | (~nextState(constB4, constB5)) | v179(constB5) | (~v159(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28947, 28946])).
% 27.00/18.29 tff(28949,plain,
% 27.00/18.29 (v159(constB4) | v179(constB5) | (~v159(constB5))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28948, 19471, 1033])).
% 27.00/18.29 tff(28950,plain,
% 27.00/18.29 (v159(constB4) | (~v159(constB5))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28949, 28942])).
% 27.00/18.29 tff(28951,plain,
% 27.00/18.29 (~v159(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28950, 28930])).
% 27.00/18.29 tff(28952,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB5) | (~v201(constB5)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB5) | (~v201(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28953,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB5) | (~v201(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28954,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB5) | (~v201(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28953, 28952])).
% 27.00/18.29 tff(28955,plain,
% 27.00/18.29 (~v201(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28954, 19490, 28951])).
% 27.00/18.29 tff(28956,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB5) | (~v200(constB5)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB5) | (~v200(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28957,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB5) | (~v200(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28958,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB5) | (~v200(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28957, 28956])).
% 27.00/18.29 tff(28959,plain,
% 27.00/18.29 (~v200(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28958, 8143, 28955])).
% 27.00/18.29 tff(28960,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB5) | (~v198(constB5)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB5) | (~v198(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28961,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB5) | (~v198(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28962,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB5) | (~v198(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 27.00/18.29 tff(28963,plain,
% 27.00/18.29 (~v198(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28962, 8157, 28959])).
% 27.00/18.29 tff(28964,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB5) | (~v194(constB5)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB5) | (~v194(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28965,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB5) | (~v194(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28966,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB5) | (~v194(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28965, 28964])).
% 27.00/18.29 tff(28967,plain,
% 27.00/18.29 (~v194(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28966, 8201, 25625])).
% 27.00/18.29 tff(28968,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB5) | v198(constB5) | (~v191(constB5)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB5) | v198(constB5) | (~v191(constB5)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28969,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB5) | v198(constB5) | (~v191(constB5)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28970,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB5) | v198(constB5) | (~v191(constB5))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28969, 28968])).
% 27.00/18.29 tff(28971,plain,
% 27.00/18.29 (v198(constB5) | (~v191(constB5))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28970, 8171, 28967])).
% 27.00/18.29 tff(28972,plain,
% 27.00/18.29 (~v191(constB5)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28971, 28963])).
% 27.00/18.29 tff(28973,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB5, constB6)) | v191(constB5) | (~v193(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB5, constB6)) | v191(constB5) | (~v193(constB6)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28974,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB5, constB6)) | v191(constB5) | (~v193(constB6)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28975,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB5, constB6)) | v191(constB5) | (~v193(constB6))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 27.00/18.29 tff(28976,plain,
% 27.00/18.29 (v191(constB5) | (~v193(constB6))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28975, 8186, 1278])).
% 27.00/18.29 tff(28977,plain,
% 27.00/18.29 (~v193(constB6)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28976, 28972])).
% 27.00/18.29 tff(28978,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB6) | (~v194(constB6)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB6) | (~v194(constB6)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28979,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB6) | (~v194(constB6)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28980,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB6) | (~v194(constB6))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28979, 28978])).
% 27.00/18.29 tff(28981,plain,
% 27.00/18.29 (~v194(constB6)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28980, 8201, 28977])).
% 27.00/18.29 tff(28982,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB6)) | (~v197(constB6)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB6)) | (~v197(constB6)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28983,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB6)) | (~v197(constB6)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28984,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB6)) | (~v197(constB6))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 27.00/18.29 tff(28985,plain,
% 27.00/18.29 (~v197(constB6)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28984, 8215, 1301])).
% 27.00/18.29 tff(28986,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB6) | (~v200(constB6)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB6) | (~v200(constB6)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28987,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB6) | (~v200(constB6)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28988,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB6) | (~v200(constB6))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 27.00/18.29 tff(28989,plain,
% 27.00/18.29 (~v200(constB6)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28988, 8229, 28985])).
% 27.00/18.29 tff(28990,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB6) | (~v198(constB6)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB6) | (~v198(constB6)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28991,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB6) | (~v198(constB6)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28992,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB6) | (~v198(constB6))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28991, 28990])).
% 27.00/18.29 tff(28993,plain,
% 27.00/18.29 (~v198(constB6)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28992, 8157, 28989])).
% 27.00/18.29 tff(28994,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB6) | v198(constB6) | (~v191(constB6)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB6) | v198(constB6) | (~v191(constB6)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(28995,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB6) | v198(constB6) | (~v191(constB6)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(28996,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB6) | v198(constB6) | (~v191(constB6))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 27.00/18.29 tff(28997,plain,
% 27.00/18.29 (v194(constB6) | (~v191(constB6))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28996, 8171, 28993])).
% 27.00/18.29 tff(28998,plain,
% 27.00/18.29 (~v191(constB6)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[28997, 28981])).
% 27.00/18.29 tff(28999,plain,
% 27.00/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB6, constB7)) | v191(constB6) | (~v193(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB6, constB7)) | v191(constB6) | (~v193(constB7)))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29000,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB6, constB7)) | v191(constB6) | (~v193(constB7)))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29001,plain,
% 27.00/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB6, constB7)) | v191(constB6) | (~v193(constB7))),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29000, 28999])).
% 27.00/18.29 tff(29002,plain,
% 27.00/18.29 (v191(constB6) | (~v193(constB7))),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29001, 8186, 138])).
% 27.00/18.29 tff(29003,plain,
% 27.00/18.29 (~v193(constB7)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29002, 28998])).
% 27.00/18.29 tff(29004,plain,
% 27.00/18.29 ($false),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29003, 28844])).
% 27.00/18.29 tff(29005,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.29 tff(29006,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.29 tff(29007,plain,
% 27.00/18.29 (v193(constB95) <=> v193(sK0_VarCurr)),
% 27.00/18.29 inference(monotonicity,[status(thm)],[29006])).
% 27.00/18.29 tff(29008,plain,
% 27.00/18.29 (v193(sK0_VarCurr) <=> v193(constB95)),
% 27.00/18.29 inference(symmetry,[status(thm)],[29007])).
% 27.00/18.29 tff(29009,plain,
% 27.00/18.29 (v193(constB95)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[8270, 29008])).
% 27.00/18.29 tff(29010,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29011,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29012,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 27.00/18.29 tff(29013,plain,
% 27.00/18.29 (~v88(constB91, bitIndex2)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29012, 25366, 11660])).
% 27.00/18.29 tff(29014,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29015,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29016,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 27.00/18.29 tff(29017,plain,
% 27.00/18.29 (v88(constB91, bitIndex1)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29016, 8034, 11691])).
% 27.00/18.29 tff(29018,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29019,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29020,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29019, 29018])).
% 27.00/18.29 tff(29021,plain,
% 27.00/18.29 (v88(constB91, bitIndex0)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29020, 26352, 11722])).
% 27.00/18.29 tff(29022,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB91, bitIndex0)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB91, bitIndex0)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | v141(constB91))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29023,plain,
% 27.00/18.29 ((v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91)) <=> ((~v88(constB91, bitIndex0)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | v141(constB91))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29024,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB91, bitIndex0)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | v141(constB91)))),
% 27.00/18.29 inference(monotonicity,[status(thm)],[29023])).
% 27.00/18.29 tff(29025,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB91, bitIndex0)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | v141(constB91))),
% 27.00/18.29 inference(transitivity,[status(thm)],[29024, 29022])).
% 27.00/18.29 tff(29026,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29027,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB91, bitIndex0)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | v141(constB91)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29026, 29025])).
% 27.00/18.29 tff(29028,plain,
% 27.00/18.29 (v141(constB91)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29027, 26366, 29021, 29017, 29013])).
% 27.00/18.29 tff(29029,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB91)) | v168(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB91)) | v168(constB91))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29030,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB91)) | v168(constB91))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29031,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB91)) | v168(constB91)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29030, 29029])).
% 27.00/18.29 tff(29032,plain,
% 27.00/18.29 (v168(constB91)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29031, 26380, 29028])).
% 27.00/18.29 tff(29033,plain,
% 27.00/18.29 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB91)) | v167(constB91))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB91)) | v167(constB91))),
% 27.00/18.29 inference(rewrite,[status(thm)],[])).
% 27.00/18.29 tff(29034,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB91)) | v167(constB91))),
% 27.00/18.29 inference(quant_inst,[status(thm)],[])).
% 27.00/18.29 tff(29035,plain,
% 27.00/18.29 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB91)) | v167(constB91)),
% 27.00/18.29 inference(modus_ponens,[status(thm)],[29034, 29033])).
% 27.00/18.29 tff(29036,plain,
% 27.00/18.29 (v167(constB91)),
% 27.00/18.29 inference(unit_resolution,[status(thm)],[29035, 23043, 29032])).
% 27.00/18.30 tff(29037,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB91)) | (~v170(constB91)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB91)) | (~v170(constB91)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29038,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB91)) | (~v170(constB91)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29039,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB91)) | (~v170(constB91))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29038, 29037])).
% 27.00/18.30 tff(29040,plain,
% 27.00/18.30 (~v170(constB91)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29039, 8084, 29036])).
% 27.00/18.30 tff(29041,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB91) | (~v167(constB91)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB91) | (~v167(constB91)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29042,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB91) | (~v167(constB91)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29043,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB91) | (~v167(constB91))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29042, 29041])).
% 27.00/18.30 tff(29044,plain,
% 27.00/18.30 (v166(constB91)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29043, 8098, 29036])).
% 27.00/18.30 tff(29045,plain,
% 27.00/18.30 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB91)) | (~v166(constB91)) | v170(constB91))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB91)) | (~v166(constB91)) | v170(constB91))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29046,plain,
% 27.00/18.30 (((~v166(constB91)) | v170(constB91) | (~v163(constB91))) <=> ((~v163(constB91)) | (~v166(constB91)) | v170(constB91))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29047,plain,
% 27.00/18.30 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB91)) | v170(constB91) | (~v163(constB91)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB91)) | (~v166(constB91)) | v170(constB91)))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29046])).
% 27.00/18.30 tff(29048,plain,
% 27.00/18.30 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB91)) | v170(constB91) | (~v163(constB91)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB91)) | (~v166(constB91)) | v170(constB91))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29047, 29045])).
% 27.00/18.30 tff(29049,plain,
% 27.00/18.30 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB91)) | v170(constB91) | (~v163(constB91)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29050,plain,
% 27.00/18.30 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB91)) | (~v166(constB91)) | v170(constB91)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29049, 29048])).
% 27.00/18.30 tff(29051,plain,
% 27.00/18.30 (~v163(constB91)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29050, 8112, 29044, 29040])).
% 27.00/18.30 tff(29052,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB91) | (~nextState(constB91, constB92)) | (~v186(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB91) | (~nextState(constB91, constB92)) | (~v186(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29053,plain,
% 27.00/18.30 (((~nextState(constB91, constB92)) | v163(constB91) | (~v186(constB92))) <=> (v163(constB91) | (~nextState(constB91, constB92)) | (~v186(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29054,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB91, constB92)) | v163(constB91) | (~v186(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB91) | (~nextState(constB91, constB92)) | (~v186(constB92))))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29053])).
% 27.00/18.30 tff(29055,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB91, constB92)) | v163(constB91) | (~v186(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB91) | (~nextState(constB91, constB92)) | (~v186(constB92)))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29054, 29052])).
% 27.00/18.30 tff(29056,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB91, constB92)) | v163(constB91) | (~v186(constB92)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29057,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB91) | (~nextState(constB91, constB92)) | (~v186(constB92))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29056, 29055])).
% 27.00/18.30 tff(29058,plain,
% 27.00/18.30 (v163(constB91) | (~v186(constB92))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29057, 19345, 11767])).
% 27.00/18.30 tff(29059,plain,
% 27.00/18.30 (~v186(constB92)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29058, 29051])).
% 27.00/18.30 tff(29060,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB91, constB92)) | v181(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB91, constB92)) | v181(constB92) | v104(constB92))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29061,plain,
% 27.00/18.30 (((~nextState(constB91, constB92)) | v104(constB92) | v181(constB92)) <=> ((~nextState(constB91, constB92)) | v181(constB92) | v104(constB92))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29062,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v181(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB91, constB92)) | v181(constB92) | v104(constB92)))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29061])).
% 27.00/18.30 tff(29063,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v181(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB91, constB92)) | v181(constB92) | v104(constB92))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29062, 29060])).
% 27.00/18.30 tff(29064,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | v181(constB92))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29065,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB91, constB92)) | v181(constB92) | v104(constB92)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 27.00/18.30 tff(29066,plain,
% 27.00/18.30 (v181(constB92) | v104(constB92)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29065, 19367, 11767])).
% 27.00/18.30 tff(29067,plain,
% 27.00/18.30 (v181(constB92)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29066, 11779])).
% 27.00/18.30 tff(29068,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB91, constB92)) | v180(constB92) | (~v1(constB92)) | (~v181(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB91, constB92)) | v180(constB92) | (~v1(constB92)) | (~v181(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29069,plain,
% 27.00/18.30 (((~nextState(constB91, constB92)) | (~v1(constB92)) | v180(constB92) | (~v181(constB92))) <=> ((~nextState(constB91, constB92)) | v180(constB92) | (~v1(constB92)) | (~v181(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29070,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v180(constB92) | (~v181(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB91, constB92)) | v180(constB92) | (~v1(constB92)) | (~v181(constB92))))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29069])).
% 27.00/18.30 tff(29071,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v180(constB92) | (~v181(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB91, constB92)) | v180(constB92) | (~v1(constB92)) | (~v181(constB92)))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29070, 29068])).
% 27.00/18.30 tff(29072,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB91, constB92)) | (~v1(constB92)) | v180(constB92) | (~v181(constB92)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29073,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB91, constB92)) | v180(constB92) | (~v1(constB92)) | (~v181(constB92))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 27.00/18.30 tff(29074,plain,
% 27.00/18.30 (v180(constB92) | (~v181(constB92))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29073, 19385, 11767, 11790])).
% 27.00/18.30 tff(29075,plain,
% 27.00/18.30 (v180(constB92)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29074, 29067])).
% 27.00/18.30 tff(29076,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB91, constB92)) | v179(constB92) | (~v180(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB91, constB92)) | v179(constB92) | (~v180(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29077,plain,
% 27.00/18.30 (((~nextState(constB91, constB92)) | (~v180(constB92)) | v179(constB92)) <=> ((~nextState(constB91, constB92)) | v179(constB92) | (~v180(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29078,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB91, constB92)) | (~v180(constB92)) | v179(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB91, constB92)) | v179(constB92) | (~v180(constB92))))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29077])).
% 27.00/18.30 tff(29079,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB91, constB92)) | (~v180(constB92)) | v179(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB91, constB92)) | v179(constB92) | (~v180(constB92)))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29078, 29076])).
% 27.00/18.30 tff(29080,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB91, constB92)) | (~v180(constB92)) | v179(constB92))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29081,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB91, constB92)) | v179(constB92) | (~v180(constB92))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29080, 29079])).
% 27.00/18.30 tff(29082,plain,
% 27.00/18.30 (v179(constB92) | (~v180(constB92))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29081, 19403, 11767])).
% 27.00/18.30 tff(29083,plain,
% 27.00/18.30 (v179(constB92)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29082, 29075])).
% 27.00/18.30 tff(29084,plain,
% 27.00/18.30 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB92) | (~v159(constB92)) | (~v179(constB92)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB92) | (~v159(constB92)) | (~v179(constB92)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29085,plain,
% 27.00/18.30 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB92) | (~v159(constB92)) | (~v179(constB92)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29086,plain,
% 27.00/18.30 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB92) | (~v159(constB92)) | (~v179(constB92))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29085, 29084])).
% 27.00/18.30 tff(29087,plain,
% 27.00/18.30 (v186(constB92) | (~v159(constB92))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29086, 19421, 29083])).
% 27.00/18.30 tff(29088,plain,
% 27.00/18.30 (~v159(constB92)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29087, 29059])).
% 27.00/18.30 tff(29089,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v180(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v180(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29090,plain,
% 27.00/18.30 (((~nextState(constB92, constB93)) | v1(constB93) | (~v180(constB93))) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v180(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29091,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v1(constB93) | (~v180(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v180(constB93))))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29090])).
% 27.00/18.30 tff(29092,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v1(constB93) | (~v180(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v180(constB93)))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29091, 29089])).
% 27.00/18.30 tff(29093,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v1(constB93) | (~v180(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29094,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v180(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29093, 29092])).
% 27.00/18.30 tff(29095,plain,
% 27.00/18.30 (~v180(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29094, 19439, 11838, 11835])).
% 27.00/18.30 tff(29096,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB92, constB93)) | v180(constB93) | (~v179(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB92, constB93)) | v180(constB93) | (~v179(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29097,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB92, constB93)) | v180(constB93) | (~v179(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29098,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB92, constB93)) | v180(constB93) | (~v179(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29097, 29096])).
% 27.00/18.30 tff(29099,plain,
% 27.00/18.30 (v180(constB93) | (~v179(constB93))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29098, 19456, 11838])).
% 27.00/18.30 tff(29100,plain,
% 27.00/18.30 (~v179(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29099, 29095])).
% 27.00/18.30 tff(29101,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB92) | (~nextState(constB92, constB93)) | v179(constB93) | (~v159(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB92) | (~nextState(constB92, constB93)) | v179(constB93) | (~v159(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29102,plain,
% 27.00/18.30 (((~nextState(constB92, constB93)) | v179(constB93) | v159(constB92) | (~v159(constB93))) <=> (v159(constB92) | (~nextState(constB92, constB93)) | v179(constB93) | (~v159(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29103,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB92, constB93)) | v179(constB93) | v159(constB92) | (~v159(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB92) | (~nextState(constB92, constB93)) | v179(constB93) | (~v159(constB93))))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29102])).
% 27.00/18.30 tff(29104,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB92, constB93)) | v179(constB93) | v159(constB92) | (~v159(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB92) | (~nextState(constB92, constB93)) | v179(constB93) | (~v159(constB93)))),
% 27.00/18.30 inference(transitivity,[status(thm)],[29103, 29101])).
% 27.00/18.30 tff(29105,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB92, constB93)) | v179(constB93) | v159(constB92) | (~v159(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29106,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB92) | (~nextState(constB92, constB93)) | v179(constB93) | (~v159(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29105, 29104])).
% 27.00/18.30 tff(29107,plain,
% 27.00/18.30 (v159(constB92) | v179(constB93) | (~v159(constB93))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29106, 19471, 11838])).
% 27.00/18.30 tff(29108,plain,
% 27.00/18.30 (v159(constB92) | (~v159(constB93))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29107, 29100])).
% 27.00/18.30 tff(29109,plain,
% 27.00/18.30 (~v159(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29108, 29088])).
% 27.00/18.30 tff(29110,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB93) | (~v201(constB93)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB93) | (~v201(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29111,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB93) | (~v201(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29112,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB93) | (~v201(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29111, 29110])).
% 27.00/18.30 tff(29113,plain,
% 27.00/18.30 (~v201(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29112, 19490, 29109])).
% 27.00/18.30 tff(29114,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB93) | (~v200(constB93)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB93) | (~v200(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29115,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB93) | (~v200(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29116,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB93) | (~v200(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29115, 29114])).
% 27.00/18.30 tff(29117,plain,
% 27.00/18.30 (~v200(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29116, 8143, 29113])).
% 27.00/18.30 tff(29118,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB93) | (~v198(constB93)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB93) | (~v198(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29119,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB93) | (~v198(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29120,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB93) | (~v198(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29119, 29118])).
% 27.00/18.30 tff(29121,plain,
% 27.00/18.30 (~v198(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29120, 8157, 29117])).
% 27.00/18.30 tff(29122,assumption,(v18(constB94)), introduced(assumption)).
% 27.00/18.30 tff(29123,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB94))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29124,plain,
% 27.00/18.30 ($false),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29123, 8, 29122])).
% 27.00/18.30 tff(29125,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.30 tff(29126,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29127,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29128,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29127, 29126])).
% 27.00/18.30 tff(29129,plain,
% 27.00/18.30 (v22(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29128, 24, 11997])).
% 27.00/18.30 tff(29130,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29131,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29132,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 27.00/18.30 tff(29133,plain,
% 27.00/18.30 (v18(constB94) | (~v19(constB94))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29132, 38, 29129])).
% 27.00/18.30 tff(29134,plain,
% 27.00/18.30 (~v19(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29133, 29125])).
% 27.00/18.30 tff(29135,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29136,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29137,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 27.00/18.30 tff(29138,plain,
% 27.00/18.30 (v13(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29137, 50, 29134])).
% 27.00/18.30 tff(29139,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29140,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29141,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 27.00/18.30 tff(29142,plain,
% 27.00/18.30 (v9(constB93) | (~v13(constB94))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29141, 67, 11974])).
% 27.00/18.30 tff(29143,plain,
% 27.00/18.30 (v9(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29142, 29138])).
% 27.00/18.30 tff(29144,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v197(constB93))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB93) | (~v9(constB93)) | v197(constB93))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29145,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v197(constB93))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29146,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB93) | (~v9(constB93)) | v197(constB93)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29145, 29144])).
% 27.00/18.30 tff(29147,plain,
% 27.00/18.30 ((~v9(constB93)) | v197(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29146, 85, 11835])).
% 27.00/18.30 tff(29148,plain,
% 27.00/18.30 (v197(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29147, 29143])).
% 27.00/18.30 tff(29149,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB93)) | v196(constB93))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB93)) | v196(constB93))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29150,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB93)) | v196(constB93))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29151,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB93)) | v196(constB93)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 27.00/18.30 tff(29152,plain,
% 27.00/18.30 (v196(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29151, 97, 29148])).
% 27.00/18.30 tff(29153,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB93)) | (~v196(constB93)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB93)) | (~v196(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29154,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB93)) | (~v196(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29155,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB93)) | (~v196(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29154, 29153])).
% 27.00/18.30 tff(29156,plain,
% 27.00/18.30 (~v194(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29155, 108, 29152])).
% 27.00/18.30 tff(29157,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB93) | v198(constB93) | (~v191(constB93)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB93) | v198(constB93) | (~v191(constB93)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29158,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB93) | v198(constB93) | (~v191(constB93)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29159,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB93) | v198(constB93) | (~v191(constB93))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29158, 29157])).
% 27.00/18.30 tff(29160,plain,
% 27.00/18.30 (v198(constB93) | (~v191(constB93))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29159, 8171, 29156])).
% 27.00/18.30 tff(29161,plain,
% 27.00/18.30 (~v191(constB93)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29160, 29121])).
% 27.00/18.30 tff(29162,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB93, constB94)) | v191(constB93) | (~v193(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB93, constB94)) | v191(constB93) | (~v193(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29163,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB93, constB94)) | v191(constB93) | (~v193(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29164,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB93, constB94)) | v191(constB93) | (~v193(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29163, 29162])).
% 27.00/18.30 tff(29165,plain,
% 27.00/18.30 (v191(constB93) | (~v193(constB94))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29164, 8186, 11974])).
% 27.00/18.30 tff(29166,plain,
% 27.00/18.30 (~v193(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29165, 29161])).
% 27.00/18.30 tff(29167,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB94) | (~v194(constB94)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB94) | (~v194(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29168,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB94) | (~v194(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29169,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB94) | (~v194(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 27.00/18.30 tff(29170,plain,
% 27.00/18.30 (~v194(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29169, 8201, 29166])).
% 27.00/18.30 tff(29171,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB94)) | (~v197(constB94)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB94)) | (~v197(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29172,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB94)) | (~v197(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29173,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB94)) | (~v197(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 27.00/18.30 tff(29174,plain,
% 27.00/18.30 (~v197(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29173, 8215, 11997])).
% 27.00/18.30 tff(29175,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB94) | (~v200(constB94)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB94) | (~v200(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29176,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB94) | (~v200(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29177,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB94) | (~v200(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29176, 29175])).
% 27.00/18.30 tff(29178,plain,
% 27.00/18.30 (~v200(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29177, 8229, 29174])).
% 27.00/18.30 tff(29179,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB94) | (~v198(constB94)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB94) | (~v198(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29180,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB94) | (~v198(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29181,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB94) | (~v198(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29180, 29179])).
% 27.00/18.30 tff(29182,plain,
% 27.00/18.30 (~v198(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29181, 8157, 29178])).
% 27.00/18.30 tff(29183,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB94) | v198(constB94) | (~v191(constB94)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB94) | v198(constB94) | (~v191(constB94)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29184,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB94) | v198(constB94) | (~v191(constB94)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29185,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB94) | v198(constB94) | (~v191(constB94))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 27.00/18.30 tff(29186,plain,
% 27.00/18.30 (v194(constB94) | (~v191(constB94))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29185, 8171, 29182])).
% 27.00/18.30 tff(29187,plain,
% 27.00/18.30 (~v191(constB94)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29186, 29170])).
% 27.00/18.30 tff(29188,plain,
% 27.00/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB94, constB95)) | v191(constB94) | (~v193(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB94, constB95)) | v191(constB94) | (~v193(constB95)))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29189,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB94, constB95)) | v191(constB94) | (~v193(constB95)))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29190,plain,
% 27.00/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB94, constB95)) | v191(constB94) | (~v193(constB95))),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[29189, 29188])).
% 27.00/18.30 tff(29191,plain,
% 27.00/18.30 (v191(constB94) | (~v193(constB95))),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29190, 8186, 12120])).
% 27.00/18.30 tff(29192,plain,
% 27.00/18.30 (~v193(constB95)),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29191, 29187])).
% 27.00/18.30 tff(29193,plain,
% 27.00/18.30 ($false),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[29192, 29009])).
% 27.00/18.30 tff(29194,plain,(~(constB95 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.30 tff(29195,assumption,(constB176 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.30 tff(29196,plain,
% 27.00/18.30 (v1(constB176) <=> v1(sK0_VarCurr)),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29195])).
% 27.00/18.30 tff(29197,plain,
% 27.00/18.30 (v1(sK0_VarCurr) <=> v1(constB176)),
% 27.00/18.30 inference(symmetry,[status(thm)],[29196])).
% 27.00/18.30 tff(29198,plain,
% 27.00/18.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB176))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29197])).
% 27.00/18.30 tff(29199,plain,
% 27.00/18.30 (~v1(constB176)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[25165, 29198])).
% 27.00/18.30 tff(29200,plain,
% 27.00/18.30 ($false),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[22143, 29199])).
% 27.00/18.30 tff(29201,plain,(~(constB176 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.30 tff(29202,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.30 tff(29203,plain,
% 27.00/18.30 (v1(constB132) <=> v1(sK0_VarCurr)),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29202])).
% 27.00/18.30 tff(29204,plain,
% 27.00/18.30 (v1(sK0_VarCurr) <=> v1(constB132)),
% 27.00/18.30 inference(symmetry,[status(thm)],[29203])).
% 27.00/18.30 tff(29205,plain,
% 27.00/18.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29204])).
% 27.00/18.30 tff(29206,plain,
% 27.00/18.30 (~v1(constB132)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[25165, 29205])).
% 27.00/18.30 tff(29207,plain,
% 27.00/18.30 ($false),
% 27.00/18.30 inference(unit_resolution,[status(thm)],[16661, 29206])).
% 27.00/18.30 tff(29208,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.30 tff(29209,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.30 tff(29210,plain,
% 27.00/18.30 (v193(constB187) <=> v193(sK0_VarCurr)),
% 27.00/18.30 inference(monotonicity,[status(thm)],[29209])).
% 27.00/18.30 tff(29211,plain,
% 27.00/18.30 (v193(sK0_VarCurr) <=> v193(constB187)),
% 27.00/18.30 inference(symmetry,[status(thm)],[29210])).
% 27.00/18.30 tff(29212,plain,
% 27.00/18.30 (v193(constB187)),
% 27.00/18.30 inference(modus_ponens,[status(thm)],[8270, 29211])).
% 27.00/18.30 tff(29213,plain,
% 27.00/18.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB183, bitIndex2)) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB183, bitIndex2)) | v90(constB183, bitIndex2))),
% 27.00/18.30 inference(rewrite,[status(thm)],[])).
% 27.00/18.30 tff(29214,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB183, bitIndex2)) | v90(constB183, bitIndex2))),
% 27.00/18.30 inference(quant_inst,[status(thm)],[])).
% 27.00/18.30 tff(29215,plain,
% 27.00/18.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB183, bitIndex2)) | v90(constB183, bitIndex2)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29214, 29213])).
% 27.00/18.31 tff(29216,plain,
% 27.00/18.31 (~v88(constB183, bitIndex2)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29215, 25366, 23754])).
% 27.00/18.31 tff(29217,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB183, bitIndex1)) | v90(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB183, bitIndex1)) | v90(constB183, bitIndex1))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29218,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB183, bitIndex1)) | v90(constB183, bitIndex1))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29219,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB183, bitIndex1)) | v90(constB183, bitIndex1)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29218, 29217])).
% 27.00/18.31 tff(29220,plain,
% 27.00/18.31 (~v88(constB183, bitIndex1)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29219, 25377, 23788])).
% 27.00/18.31 tff(29221,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29222,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29223,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB183, bitIndex0)) | v88(constB183, bitIndex0)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 27.00/18.31 tff(29224,plain,
% 27.00/18.31 (v88(constB183, bitIndex0)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29223, 26352, 23819])).
% 27.00/18.31 tff(29225,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB183, bitIndex0)) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | v140(constB183))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | v140(constB183))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29226,plain,
% 27.00/18.31 ((v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183)) <=> ((~v88(constB183, bitIndex0)) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | v140(constB183))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29227,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB183, bitIndex0)) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | v140(constB183)))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29226])).
% 27.00/18.31 tff(29228,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | v140(constB183))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29227, 29225])).
% 27.00/18.31 tff(29229,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | (~v88(constB183, bitIndex0)) | v140(constB183))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29230,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB183, bitIndex0)) | v88(constB183, bitIndex2) | v88(constB183, bitIndex1) | v140(constB183)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29229, 29228])).
% 27.00/18.31 tff(29231,plain,
% 27.00/18.31 (v140(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29230, 26773, 29224, 29220, 29216])).
% 27.00/18.31 tff(29232,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB183)) | v169(constB183))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB183)) | v169(constB183))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29233,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB183)) | v169(constB183))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29234,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB183)) | v169(constB183)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29233, 29232])).
% 27.00/18.31 tff(29235,plain,
% 27.00/18.31 (v169(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29234, 26787, 29231])).
% 27.00/18.31 tff(29236,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB183) | (~v169(constB183)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB183) | (~v169(constB183)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29237,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB183) | (~v169(constB183)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29238,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB183) | (~v169(constB183))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29237, 29236])).
% 27.00/18.31 tff(29239,plain,
% 27.00/18.31 (v168(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29238, 23060, 29235])).
% 27.00/18.31 tff(29240,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB183)) | v167(constB183))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB183)) | v167(constB183))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29241,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB183)) | v167(constB183))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29242,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB183)) | v167(constB183)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29241, 29240])).
% 27.00/18.31 tff(29243,plain,
% 27.00/18.31 (v167(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29242, 23043, 29239])).
% 27.00/18.31 tff(29244,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB183)) | (~v170(constB183)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB183)) | (~v170(constB183)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29245,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB183)) | (~v170(constB183)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29246,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB183)) | (~v170(constB183))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 27.00/18.31 tff(29247,plain,
% 27.00/18.31 (~v170(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29246, 8084, 29243])).
% 27.00/18.31 tff(29248,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB183) | (~v167(constB183)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB183) | (~v167(constB183)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29249,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB183) | (~v167(constB183)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29250,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB183) | (~v167(constB183))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 27.00/18.31 tff(29251,plain,
% 27.00/18.31 (v166(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29250, 8098, 29243])).
% 27.00/18.31 tff(29252,plain,
% 27.00/18.31 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB183)) | v170(constB183) | (~v166(constB183)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB183)) | v170(constB183) | (~v166(constB183)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29253,plain,
% 27.00/18.31 (((~v166(constB183)) | v170(constB183) | (~v163(constB183))) <=> ((~v163(constB183)) | v170(constB183) | (~v166(constB183)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29254,plain,
% 27.00/18.31 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB183)) | v170(constB183) | (~v163(constB183)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB183)) | v170(constB183) | (~v166(constB183))))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29253])).
% 27.00/18.31 tff(29255,plain,
% 27.00/18.31 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB183)) | v170(constB183) | (~v163(constB183)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB183)) | v170(constB183) | (~v166(constB183)))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29254, 29252])).
% 27.00/18.31 tff(29256,plain,
% 27.00/18.31 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB183)) | v170(constB183) | (~v163(constB183)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29257,plain,
% 27.00/18.31 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB183)) | v170(constB183) | (~v166(constB183))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29256, 29255])).
% 27.00/18.31 tff(29258,plain,
% 27.00/18.31 (~v163(constB183)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29257, 8112, 29251, 29247])).
% 27.00/18.31 tff(29259,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB183) | (~nextState(constB183, constB184)) | (~v186(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB183) | (~nextState(constB183, constB184)) | (~v186(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29260,plain,
% 27.00/18.31 (((~nextState(constB183, constB184)) | v163(constB183) | (~v186(constB184))) <=> (v163(constB183) | (~nextState(constB183, constB184)) | (~v186(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29261,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB183, constB184)) | v163(constB183) | (~v186(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB183) | (~nextState(constB183, constB184)) | (~v186(constB184))))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29260])).
% 27.00/18.31 tff(29262,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB183, constB184)) | v163(constB183) | (~v186(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB183) | (~nextState(constB183, constB184)) | (~v186(constB184)))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29261, 29259])).
% 27.00/18.31 tff(29263,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB183, constB184)) | v163(constB183) | (~v186(constB184)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29264,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB183) | (~nextState(constB183, constB184)) | (~v186(constB184))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29263, 29262])).
% 27.00/18.31 tff(29265,plain,
% 27.00/18.31 (v163(constB183) | (~v186(constB184))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29264, 19345, 23881])).
% 27.00/18.31 tff(29266,plain,
% 27.00/18.31 (~v186(constB184)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29265, 29258])).
% 27.00/18.31 tff(29267,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB183, constB184)) | v181(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB183, constB184)) | v181(constB184) | v104(constB184))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29268,plain,
% 27.00/18.31 (((~nextState(constB183, constB184)) | v104(constB184) | v181(constB184)) <=> ((~nextState(constB183, constB184)) | v181(constB184) | v104(constB184))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29269,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v181(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB183, constB184)) | v181(constB184) | v104(constB184)))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29268])).
% 27.00/18.31 tff(29270,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v181(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB183, constB184)) | v181(constB184) | v104(constB184))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29269, 29267])).
% 27.00/18.31 tff(29271,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | v181(constB184))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29272,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB183, constB184)) | v181(constB184) | v104(constB184)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29271, 29270])).
% 27.00/18.31 tff(29273,plain,
% 27.00/18.31 (v181(constB184) | v104(constB184)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29272, 19367, 23881])).
% 27.00/18.31 tff(29274,plain,
% 27.00/18.31 (v181(constB184)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29273, 23893])).
% 27.00/18.31 tff(29275,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB183, constB184)) | v180(constB184) | (~v1(constB184)) | (~v181(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB183, constB184)) | v180(constB184) | (~v1(constB184)) | (~v181(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29276,plain,
% 27.00/18.31 (((~nextState(constB183, constB184)) | (~v1(constB184)) | v180(constB184) | (~v181(constB184))) <=> ((~nextState(constB183, constB184)) | v180(constB184) | (~v1(constB184)) | (~v181(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29277,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v180(constB184) | (~v181(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB183, constB184)) | v180(constB184) | (~v1(constB184)) | (~v181(constB184))))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29276])).
% 27.00/18.31 tff(29278,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v180(constB184) | (~v181(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB183, constB184)) | v180(constB184) | (~v1(constB184)) | (~v181(constB184)))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29277, 29275])).
% 27.00/18.31 tff(29279,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB183, constB184)) | (~v1(constB184)) | v180(constB184) | (~v181(constB184)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29280,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB183, constB184)) | v180(constB184) | (~v1(constB184)) | (~v181(constB184))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29279, 29278])).
% 27.00/18.31 tff(29281,plain,
% 27.00/18.31 (v180(constB184) | (~v181(constB184))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29280, 19385, 23881, 23904])).
% 27.00/18.31 tff(29282,plain,
% 27.00/18.31 (v180(constB184)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29281, 29274])).
% 27.00/18.31 tff(29283,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB183, constB184)) | v179(constB184) | (~v180(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB183, constB184)) | v179(constB184) | (~v180(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29284,plain,
% 27.00/18.31 (((~nextState(constB183, constB184)) | (~v180(constB184)) | v179(constB184)) <=> ((~nextState(constB183, constB184)) | v179(constB184) | (~v180(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29285,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB183, constB184)) | (~v180(constB184)) | v179(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB183, constB184)) | v179(constB184) | (~v180(constB184))))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29284])).
% 27.00/18.31 tff(29286,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB183, constB184)) | (~v180(constB184)) | v179(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB183, constB184)) | v179(constB184) | (~v180(constB184)))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29285, 29283])).
% 27.00/18.31 tff(29287,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB183, constB184)) | (~v180(constB184)) | v179(constB184))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29288,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB183, constB184)) | v179(constB184) | (~v180(constB184))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29287, 29286])).
% 27.00/18.31 tff(29289,plain,
% 27.00/18.31 (v179(constB184) | (~v180(constB184))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29288, 19403, 23881])).
% 27.00/18.31 tff(29290,plain,
% 27.00/18.31 (v179(constB184)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29289, 29282])).
% 27.00/18.31 tff(29291,plain,
% 27.00/18.31 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB184) | (~v159(constB184)) | (~v179(constB184)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB184) | (~v159(constB184)) | (~v179(constB184)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29292,plain,
% 27.00/18.31 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB184) | (~v159(constB184)) | (~v179(constB184)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29293,plain,
% 27.00/18.31 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB184) | (~v159(constB184)) | (~v179(constB184))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29292, 29291])).
% 27.00/18.31 tff(29294,plain,
% 27.00/18.31 (v186(constB184) | (~v159(constB184))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29293, 19421, 29290])).
% 27.00/18.31 tff(29295,plain,
% 27.00/18.31 (~v159(constB184)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29294, 29266])).
% 27.00/18.31 tff(29296,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v180(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v180(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29297,plain,
% 27.00/18.31 (((~nextState(constB184, constB185)) | v1(constB185) | (~v180(constB185))) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v180(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29298,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB184, constB185)) | v1(constB185) | (~v180(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v180(constB185))))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29297])).
% 27.00/18.31 tff(29299,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB184, constB185)) | v1(constB185) | (~v180(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v180(constB185)))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29298, 29296])).
% 27.00/18.31 tff(29300,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB184, constB185)) | v1(constB185) | (~v180(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29301,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v180(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29300, 29299])).
% 27.00/18.31 tff(29302,plain,
% 27.00/18.31 (~v180(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29301, 19439, 23949, 23946])).
% 27.00/18.31 tff(29303,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB184, constB185)) | v180(constB185) | (~v179(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB184, constB185)) | v180(constB185) | (~v179(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29304,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB184, constB185)) | v180(constB185) | (~v179(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29305,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB184, constB185)) | v180(constB185) | (~v179(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29304, 29303])).
% 27.00/18.31 tff(29306,plain,
% 27.00/18.31 (v180(constB185) | (~v179(constB185))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29305, 19456, 23949])).
% 27.00/18.31 tff(29307,plain,
% 27.00/18.31 (~v179(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29306, 29302])).
% 27.00/18.31 tff(29308,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB184) | (~nextState(constB184, constB185)) | v179(constB185) | (~v159(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB184) | (~nextState(constB184, constB185)) | v179(constB185) | (~v159(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29309,plain,
% 27.00/18.31 (((~nextState(constB184, constB185)) | v179(constB185) | v159(constB184) | (~v159(constB185))) <=> (v159(constB184) | (~nextState(constB184, constB185)) | v179(constB185) | (~v159(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29310,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB184, constB185)) | v179(constB185) | v159(constB184) | (~v159(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB184) | (~nextState(constB184, constB185)) | v179(constB185) | (~v159(constB185))))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29309])).
% 27.00/18.31 tff(29311,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB184, constB185)) | v179(constB185) | v159(constB184) | (~v159(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB184) | (~nextState(constB184, constB185)) | v179(constB185) | (~v159(constB185)))),
% 27.00/18.31 inference(transitivity,[status(thm)],[29310, 29308])).
% 27.00/18.31 tff(29312,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB184, constB185)) | v179(constB185) | v159(constB184) | (~v159(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29313,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB184) | (~nextState(constB184, constB185)) | v179(constB185) | (~v159(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 27.00/18.31 tff(29314,plain,
% 27.00/18.31 (v159(constB184) | v179(constB185) | (~v159(constB185))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29313, 19471, 23949])).
% 27.00/18.31 tff(29315,plain,
% 27.00/18.31 (v159(constB184) | (~v159(constB185))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29314, 29307])).
% 27.00/18.31 tff(29316,plain,
% 27.00/18.31 (~v159(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29315, 29295])).
% 27.00/18.31 tff(29317,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB185) | (~v201(constB185)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB185) | (~v201(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29318,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB185) | (~v201(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29319,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB185) | (~v201(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29318, 29317])).
% 27.00/18.31 tff(29320,plain,
% 27.00/18.31 (~v201(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29319, 19490, 29316])).
% 27.00/18.31 tff(29321,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB185) | (~v200(constB185)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB185) | (~v200(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29322,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB185) | (~v200(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29323,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB185) | (~v200(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29322, 29321])).
% 27.00/18.31 tff(29324,plain,
% 27.00/18.31 (~v200(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29323, 8143, 29320])).
% 27.00/18.31 tff(29325,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB185) | (~v198(constB185)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB185) | (~v198(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29326,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB185) | (~v198(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29327,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB185) | (~v198(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29326, 29325])).
% 27.00/18.31 tff(29328,plain,
% 27.00/18.31 (~v198(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29327, 8157, 29324])).
% 27.00/18.31 tff(29329,assumption,(v18(constB186)), introduced(assumption)).
% 27.00/18.31 tff(29330,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB186))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29331,plain,
% 27.00/18.31 ($false),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29330, 8, 29329])).
% 27.00/18.31 tff(29332,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.31 tff(29333,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29334,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29335,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 27.00/18.31 tff(29336,plain,
% 27.00/18.31 (v22(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29335, 24, 24113])).
% 27.00/18.31 tff(29337,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29338,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29339,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 27.00/18.31 tff(29340,plain,
% 27.00/18.31 (v18(constB186) | (~v19(constB186))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29339, 38, 29336])).
% 27.00/18.31 tff(29341,plain,
% 27.00/18.31 (~v19(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29340, 29332])).
% 27.00/18.31 tff(29342,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29343,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29344,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29343, 29342])).
% 27.00/18.31 tff(29345,plain,
% 27.00/18.31 (v13(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29344, 50, 29341])).
% 27.00/18.31 tff(29346,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29347,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29348,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 27.00/18.31 tff(29349,plain,
% 27.00/18.31 (v9(constB185) | (~v13(constB186))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29348, 67, 24090])).
% 27.00/18.31 tff(29350,plain,
% 27.00/18.31 (v9(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29349, 29345])).
% 27.00/18.31 tff(29351,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v197(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB185) | (~v9(constB185)) | v197(constB185))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29352,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v197(constB185))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29353,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB185) | (~v9(constB185)) | v197(constB185)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 27.00/18.31 tff(29354,plain,
% 27.00/18.31 ((~v9(constB185)) | v197(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29353, 85, 23946])).
% 27.00/18.31 tff(29355,plain,
% 27.00/18.31 (v197(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29354, 29350])).
% 27.00/18.31 tff(29356,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB185)) | v196(constB185))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB185)) | v196(constB185))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29357,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB185)) | v196(constB185))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29358,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB185)) | v196(constB185)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 27.00/18.31 tff(29359,plain,
% 27.00/18.31 (v196(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29358, 97, 29355])).
% 27.00/18.31 tff(29360,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB185)) | (~v196(constB185)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB185)) | (~v196(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29361,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB185)) | (~v196(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29362,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB185)) | (~v196(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 27.00/18.31 tff(29363,plain,
% 27.00/18.31 (~v194(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29362, 108, 29359])).
% 27.00/18.31 tff(29364,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB185) | v198(constB185) | (~v191(constB185)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB185) | v198(constB185) | (~v191(constB185)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29365,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB185) | v198(constB185) | (~v191(constB185)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29366,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB185) | v198(constB185) | (~v191(constB185))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 27.00/18.31 tff(29367,plain,
% 27.00/18.31 (v198(constB185) | (~v191(constB185))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29366, 8171, 29363])).
% 27.00/18.31 tff(29368,plain,
% 27.00/18.31 (~v191(constB185)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29367, 29328])).
% 27.00/18.31 tff(29369,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB185, constB186)) | v191(constB185) | (~v193(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB185, constB186)) | v191(constB185) | (~v193(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29370,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB185, constB186)) | v191(constB185) | (~v193(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29371,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB185, constB186)) | v191(constB185) | (~v193(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 27.00/18.31 tff(29372,plain,
% 27.00/18.31 (v191(constB185) | (~v193(constB186))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29371, 8186, 24090])).
% 27.00/18.31 tff(29373,plain,
% 27.00/18.31 (~v193(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29372, 29368])).
% 27.00/18.31 tff(29374,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB186) | (~v194(constB186)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB186) | (~v194(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29375,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB186) | (~v194(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29376,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB186) | (~v194(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29375, 29374])).
% 27.00/18.31 tff(29377,plain,
% 27.00/18.31 (~v194(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29376, 8201, 29373])).
% 27.00/18.31 tff(29378,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB186)) | (~v197(constB186)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB186)) | (~v197(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29379,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB186)) | (~v197(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29380,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB186)) | (~v197(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29379, 29378])).
% 27.00/18.31 tff(29381,plain,
% 27.00/18.31 (~v197(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29380, 8215, 24113])).
% 27.00/18.31 tff(29382,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB186) | (~v200(constB186)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB186) | (~v200(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29383,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB186) | (~v200(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29384,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB186) | (~v200(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 27.00/18.31 tff(29385,plain,
% 27.00/18.31 (~v200(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29384, 8229, 29381])).
% 27.00/18.31 tff(29386,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB186) | (~v198(constB186)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB186) | (~v198(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29387,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB186) | (~v198(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29388,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB186) | (~v198(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 27.00/18.31 tff(29389,plain,
% 27.00/18.31 (~v198(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29388, 8157, 29385])).
% 27.00/18.31 tff(29390,plain,
% 27.00/18.31 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB186) | v198(constB186) | (~v191(constB186)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB186) | v198(constB186) | (~v191(constB186)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29391,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB186) | v198(constB186) | (~v191(constB186)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29392,plain,
% 27.00/18.31 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB186) | v198(constB186) | (~v191(constB186))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29391, 29390])).
% 27.00/18.31 tff(29393,plain,
% 27.00/18.31 (v194(constB186) | (~v191(constB186))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29392, 8171, 29389])).
% 27.00/18.31 tff(29394,plain,
% 27.00/18.31 (~v191(constB186)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29393, 29377])).
% 27.00/18.31 tff(29395,plain,
% 27.00/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB186, constB187)) | v191(constB186) | (~v193(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB186, constB187)) | v191(constB186) | (~v193(constB187)))),
% 27.00/18.31 inference(rewrite,[status(thm)],[])).
% 27.00/18.31 tff(29396,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB186, constB187)) | v191(constB186) | (~v193(constB187)))),
% 27.00/18.31 inference(quant_inst,[status(thm)],[])).
% 27.00/18.31 tff(29397,plain,
% 27.00/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB186, constB187)) | v191(constB186) | (~v193(constB187))),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[29396, 29395])).
% 27.00/18.31 tff(29398,plain,
% 27.00/18.31 (v191(constB186) | (~v193(constB187))),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29397, 8186, 24158])).
% 27.00/18.31 tff(29399,plain,
% 27.00/18.31 (~v193(constB187)),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29398, 29394])).
% 27.00/18.31 tff(29400,plain,
% 27.00/18.31 ($false),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[29399, 29212])).
% 27.00/18.31 tff(29401,plain,(~(constB187 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.31 tff(29402,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.31 tff(29403,plain,
% 27.00/18.31 (v1(constB154) <=> v1(sK0_VarCurr)),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29402])).
% 27.00/18.31 tff(29404,plain,
% 27.00/18.31 (v1(sK0_VarCurr) <=> v1(constB154)),
% 27.00/18.31 inference(symmetry,[status(thm)],[29403])).
% 27.00/18.31 tff(29405,plain,
% 27.00/18.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29404])).
% 27.00/18.31 tff(29406,plain,
% 27.00/18.31 (~v1(constB154)),
% 27.00/18.31 inference(modus_ponens,[status(thm)],[25165, 29405])).
% 27.00/18.31 tff(29407,plain,
% 27.00/18.31 ($false),
% 27.00/18.31 inference(unit_resolution,[status(thm)],[18917, 29406])).
% 27.00/18.31 tff(29408,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.31 tff(29409,assumption,(constB158 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.31 tff(29410,plain,
% 27.00/18.31 (v1(constB158) <=> v1(sK0_VarCurr)),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29409])).
% 27.00/18.31 tff(29411,plain,
% 27.00/18.31 (v1(sK0_VarCurr) <=> v1(constB158)),
% 27.00/18.31 inference(symmetry,[status(thm)],[29410])).
% 27.00/18.31 tff(29412,plain,
% 27.00/18.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB158))),
% 27.00/18.31 inference(monotonicity,[status(thm)],[29411])).
% 27.00/18.32 tff(29413,plain,
% 27.00/18.32 (~v1(constB158)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[25165, 29412])).
% 27.00/18.32 tff(29414,plain,
% 27.00/18.32 ($false),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[8419, 29413])).
% 27.00/18.32 tff(29415,plain,(~(constB158 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.32 tff(29416,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.32 tff(29417,plain,
% 27.00/18.32 (v193(constB83) <=> v193(sK0_VarCurr)),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29416])).
% 27.00/18.32 tff(29418,plain,
% 27.00/18.32 (v193(sK0_VarCurr) <=> v193(constB83)),
% 27.00/18.32 inference(symmetry,[status(thm)],[29417])).
% 27.00/18.32 tff(29419,plain,
% 27.00/18.32 (v193(constB83)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[8270, 29418])).
% 27.00/18.32 tff(29420,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29421,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29422,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29421, 29420])).
% 27.00/18.32 tff(29423,plain,
% 27.00/18.32 (~v88(constB79, bitIndex2)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29422, 25366, 10272])).
% 27.00/18.32 tff(29424,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29425,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29426,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29425, 29424])).
% 27.00/18.32 tff(29427,plain,
% 27.00/18.32 (v88(constB79, bitIndex1)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29426, 8034, 10303])).
% 27.00/18.32 tff(29428,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29429,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29430,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29429, 29428])).
% 27.00/18.32 tff(29431,plain,
% 27.00/18.32 (v88(constB79, bitIndex0)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29430, 26352, 10334])).
% 27.00/18.32 tff(29432,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | v141(constB79))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29433,plain,
% 27.00/18.32 ((v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79)) <=> ((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | v141(constB79))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29434,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | v141(constB79)))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29433])).
% 27.00/18.32 tff(29435,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | v141(constB79))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29434, 29432])).
% 27.00/18.32 tff(29436,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29437,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | v141(constB79)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29436, 29435])).
% 27.00/18.32 tff(29438,plain,
% 27.00/18.32 (v141(constB79)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29437, 26366, 29431, 29427, 29423])).
% 27.00/18.32 tff(29439,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB79)) | v168(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB79)) | v168(constB79))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29440,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB79)) | v168(constB79))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29441,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB79)) | v168(constB79)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29440, 29439])).
% 27.00/18.32 tff(29442,plain,
% 27.00/18.32 (v168(constB79)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29441, 26380, 29438])).
% 27.00/18.32 tff(29443,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB79)) | v167(constB79))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB79)) | v167(constB79))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29444,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB79)) | v167(constB79))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29445,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB79)) | v167(constB79)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29444, 29443])).
% 27.00/18.32 tff(29446,plain,
% 27.00/18.32 (v167(constB79)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29445, 23043, 29442])).
% 27.00/18.32 tff(29447,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB79)) | (~v170(constB79)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB79)) | (~v170(constB79)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29448,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB79)) | (~v170(constB79)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29449,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB79)) | (~v170(constB79))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 27.00/18.32 tff(29450,plain,
% 27.00/18.32 (~v170(constB79)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29449, 8084, 29446])).
% 27.00/18.32 tff(29451,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB79) | (~v167(constB79)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB79) | (~v167(constB79)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29452,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB79) | (~v167(constB79)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29453,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB79) | (~v167(constB79))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29452, 29451])).
% 27.00/18.32 tff(29454,plain,
% 27.00/18.32 (v166(constB79)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29453, 8098, 29446])).
% 27.00/18.32 tff(29455,plain,
% 27.00/18.32 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB79)) | (~v166(constB79)) | v170(constB79))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB79)) | (~v166(constB79)) | v170(constB79))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29456,plain,
% 27.00/18.32 (((~v166(constB79)) | v170(constB79) | (~v163(constB79))) <=> ((~v163(constB79)) | (~v166(constB79)) | v170(constB79))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29457,plain,
% 27.00/18.32 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB79)) | v170(constB79) | (~v163(constB79)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB79)) | (~v166(constB79)) | v170(constB79)))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29456])).
% 27.00/18.32 tff(29458,plain,
% 27.00/18.32 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB79)) | v170(constB79) | (~v163(constB79)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB79)) | (~v166(constB79)) | v170(constB79))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29457, 29455])).
% 27.00/18.32 tff(29459,plain,
% 27.00/18.32 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB79)) | v170(constB79) | (~v163(constB79)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29460,plain,
% 27.00/18.32 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB79)) | (~v166(constB79)) | v170(constB79)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29459, 29458])).
% 27.00/18.32 tff(29461,plain,
% 27.00/18.32 (~v163(constB79)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29460, 8112, 29454, 29450])).
% 27.00/18.32 tff(29462,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB79) | (~nextState(constB79, constB80)) | (~v186(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB79) | (~nextState(constB79, constB80)) | (~v186(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29463,plain,
% 27.00/18.32 (((~nextState(constB79, constB80)) | v163(constB79) | (~v186(constB80))) <=> (v163(constB79) | (~nextState(constB79, constB80)) | (~v186(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29464,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB79, constB80)) | v163(constB79) | (~v186(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB79) | (~nextState(constB79, constB80)) | (~v186(constB80))))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29463])).
% 27.00/18.32 tff(29465,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB79, constB80)) | v163(constB79) | (~v186(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB79) | (~nextState(constB79, constB80)) | (~v186(constB80)))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29464, 29462])).
% 27.00/18.32 tff(29466,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB79, constB80)) | v163(constB79) | (~v186(constB80)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29467,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB79) | (~nextState(constB79, constB80)) | (~v186(constB80))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29466, 29465])).
% 27.00/18.32 tff(29468,plain,
% 27.00/18.32 (v163(constB79) | (~v186(constB80))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29467, 19345, 10379])).
% 27.00/18.32 tff(29469,plain,
% 27.00/18.32 (~v186(constB80)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29468, 29461])).
% 27.00/18.32 tff(29470,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB79, constB80)) | v181(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB79, constB80)) | v181(constB80) | v104(constB80))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29471,plain,
% 27.00/18.32 (((~nextState(constB79, constB80)) | v104(constB80) | v181(constB80)) <=> ((~nextState(constB79, constB80)) | v181(constB80) | v104(constB80))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29472,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v181(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB79, constB80)) | v181(constB80) | v104(constB80)))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29471])).
% 27.00/18.32 tff(29473,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v181(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB79, constB80)) | v181(constB80) | v104(constB80))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29472, 29470])).
% 27.00/18.32 tff(29474,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | v181(constB80))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29475,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB79, constB80)) | v181(constB80) | v104(constB80)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29474, 29473])).
% 27.00/18.32 tff(29476,plain,
% 27.00/18.32 (v181(constB80) | v104(constB80)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29475, 19367, 10379])).
% 27.00/18.32 tff(29477,plain,
% 27.00/18.32 (v181(constB80)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29476, 10391])).
% 27.00/18.32 tff(29478,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB79, constB80)) | v180(constB80) | (~v1(constB80)) | (~v181(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB79, constB80)) | v180(constB80) | (~v1(constB80)) | (~v181(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29479,plain,
% 27.00/18.32 (((~nextState(constB79, constB80)) | (~v1(constB80)) | v180(constB80) | (~v181(constB80))) <=> ((~nextState(constB79, constB80)) | v180(constB80) | (~v1(constB80)) | (~v181(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29480,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v180(constB80) | (~v181(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB79, constB80)) | v180(constB80) | (~v1(constB80)) | (~v181(constB80))))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29479])).
% 27.00/18.32 tff(29481,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v180(constB80) | (~v181(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB79, constB80)) | v180(constB80) | (~v1(constB80)) | (~v181(constB80)))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29480, 29478])).
% 27.00/18.32 tff(29482,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB79, constB80)) | (~v1(constB80)) | v180(constB80) | (~v181(constB80)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29483,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB79, constB80)) | v180(constB80) | (~v1(constB80)) | (~v181(constB80))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29482, 29481])).
% 27.00/18.32 tff(29484,plain,
% 27.00/18.32 (v180(constB80) | (~v181(constB80))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29483, 19385, 10379, 10402])).
% 27.00/18.32 tff(29485,plain,
% 27.00/18.32 (v180(constB80)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29484, 29477])).
% 27.00/18.32 tff(29486,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB79, constB80)) | v179(constB80) | (~v180(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB79, constB80)) | v179(constB80) | (~v180(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29487,plain,
% 27.00/18.32 (((~nextState(constB79, constB80)) | (~v180(constB80)) | v179(constB80)) <=> ((~nextState(constB79, constB80)) | v179(constB80) | (~v180(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29488,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB79, constB80)) | (~v180(constB80)) | v179(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB79, constB80)) | v179(constB80) | (~v180(constB80))))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29487])).
% 27.00/18.32 tff(29489,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB79, constB80)) | (~v180(constB80)) | v179(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB79, constB80)) | v179(constB80) | (~v180(constB80)))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29488, 29486])).
% 27.00/18.32 tff(29490,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB79, constB80)) | (~v180(constB80)) | v179(constB80))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29491,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB79, constB80)) | v179(constB80) | (~v180(constB80))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29490, 29489])).
% 27.00/18.32 tff(29492,plain,
% 27.00/18.32 (v179(constB80) | (~v180(constB80))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29491, 19403, 10379])).
% 27.00/18.32 tff(29493,plain,
% 27.00/18.32 (v179(constB80)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29492, 29485])).
% 27.00/18.32 tff(29494,plain,
% 27.00/18.32 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB80) | (~v159(constB80)) | (~v179(constB80)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB80) | (~v159(constB80)) | (~v179(constB80)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29495,plain,
% 27.00/18.32 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB80) | (~v159(constB80)) | (~v179(constB80)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29496,plain,
% 27.00/18.32 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB80) | (~v159(constB80)) | (~v179(constB80))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29495, 29494])).
% 27.00/18.32 tff(29497,plain,
% 27.00/18.32 (v186(constB80) | (~v159(constB80))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29496, 19421, 29493])).
% 27.00/18.32 tff(29498,plain,
% 27.00/18.32 (~v159(constB80)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29497, 29469])).
% 27.00/18.32 tff(29499,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v180(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v180(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29500,plain,
% 27.00/18.32 (((~nextState(constB80, constB81)) | v1(constB81) | (~v180(constB81))) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v180(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29501,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB80, constB81)) | v1(constB81) | (~v180(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v180(constB81))))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29500])).
% 27.00/18.32 tff(29502,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB80, constB81)) | v1(constB81) | (~v180(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v180(constB81)))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29501, 29499])).
% 27.00/18.32 tff(29503,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB80, constB81)) | v1(constB81) | (~v180(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29504,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v180(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29503, 29502])).
% 27.00/18.32 tff(29505,plain,
% 27.00/18.32 (~v180(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29504, 19439, 10447, 10444])).
% 27.00/18.32 tff(29506,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB80, constB81)) | v180(constB81) | (~v179(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB80, constB81)) | v180(constB81) | (~v179(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29507,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB80, constB81)) | v180(constB81) | (~v179(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29508,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB80, constB81)) | v180(constB81) | (~v179(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29507, 29506])).
% 27.00/18.32 tff(29509,plain,
% 27.00/18.32 (v180(constB81) | (~v179(constB81))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29508, 19456, 10447])).
% 27.00/18.32 tff(29510,plain,
% 27.00/18.32 (~v179(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29509, 29505])).
% 27.00/18.32 tff(29511,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB80) | (~nextState(constB80, constB81)) | v179(constB81) | (~v159(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB80) | (~nextState(constB80, constB81)) | v179(constB81) | (~v159(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29512,plain,
% 27.00/18.32 (((~nextState(constB80, constB81)) | v179(constB81) | v159(constB80) | (~v159(constB81))) <=> (v159(constB80) | (~nextState(constB80, constB81)) | v179(constB81) | (~v159(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29513,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB80, constB81)) | v179(constB81) | v159(constB80) | (~v159(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB80) | (~nextState(constB80, constB81)) | v179(constB81) | (~v159(constB81))))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29512])).
% 27.00/18.32 tff(29514,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB80, constB81)) | v179(constB81) | v159(constB80) | (~v159(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB80) | (~nextState(constB80, constB81)) | v179(constB81) | (~v159(constB81)))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29513, 29511])).
% 27.00/18.32 tff(29515,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB80, constB81)) | v179(constB81) | v159(constB80) | (~v159(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29516,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB80) | (~nextState(constB80, constB81)) | v179(constB81) | (~v159(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29515, 29514])).
% 27.00/18.32 tff(29517,plain,
% 27.00/18.32 (v159(constB80) | v179(constB81) | (~v159(constB81))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29516, 19471, 10447])).
% 27.00/18.32 tff(29518,plain,
% 27.00/18.32 (v159(constB80) | (~v159(constB81))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29517, 29510])).
% 27.00/18.32 tff(29519,plain,
% 27.00/18.32 (~v159(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29518, 29498])).
% 27.00/18.32 tff(29520,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB81) | (~v201(constB81)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB81) | (~v201(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29521,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB81) | (~v201(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29522,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB81) | (~v201(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29521, 29520])).
% 27.00/18.32 tff(29523,plain,
% 27.00/18.32 (~v201(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29522, 19490, 29519])).
% 27.00/18.32 tff(29524,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB81) | (~v200(constB81)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB81) | (~v200(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29525,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB81) | (~v200(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29526,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB81) | (~v200(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29525, 29524])).
% 27.00/18.32 tff(29527,plain,
% 27.00/18.32 (~v200(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29526, 8143, 29523])).
% 27.00/18.32 tff(29528,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB81) | (~v198(constB81)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB81) | (~v198(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29529,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB81) | (~v198(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29530,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB81) | (~v198(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29529, 29528])).
% 27.00/18.32 tff(29531,plain,
% 27.00/18.32 (~v198(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29530, 8157, 29527])).
% 27.00/18.32 tff(29532,assumption,(v18(constB82)), introduced(assumption)).
% 27.00/18.32 tff(29533,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB82))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29534,plain,
% 27.00/18.32 ($false),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29533, 8, 29532])).
% 27.00/18.32 tff(29535,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.32 tff(29536,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29537,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29538,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29537, 29536])).
% 27.00/18.32 tff(29539,plain,
% 27.00/18.32 (v22(constB82)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29538, 24, 10693])).
% 27.00/18.32 tff(29540,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29541,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29542,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29541, 29540])).
% 27.00/18.32 tff(29543,plain,
% 27.00/18.32 (v18(constB82) | (~v19(constB82))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29542, 38, 29539])).
% 27.00/18.32 tff(29544,plain,
% 27.00/18.32 (~v19(constB82)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29543, 29535])).
% 27.00/18.32 tff(29545,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29546,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29547,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29546, 29545])).
% 27.00/18.32 tff(29548,plain,
% 27.00/18.32 (v13(constB82)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29547, 50, 29544])).
% 27.00/18.32 tff(29549,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29550,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29551,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29550, 29549])).
% 27.00/18.32 tff(29552,plain,
% 27.00/18.32 (v9(constB81) | (~v13(constB82))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29551, 67, 10564])).
% 27.00/18.32 tff(29553,plain,
% 27.00/18.32 (v9(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29552, 29548])).
% 27.00/18.32 tff(29554,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v197(constB81))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB81) | (~v9(constB81)) | v197(constB81))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29555,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v197(constB81))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29556,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB81) | (~v9(constB81)) | v197(constB81)),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 27.00/18.32 tff(29557,plain,
% 27.00/18.32 ((~v9(constB81)) | v197(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29556, 85, 10444])).
% 27.00/18.32 tff(29558,plain,
% 27.00/18.32 (v197(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29557, 29553])).
% 27.00/18.32 tff(29559,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB81) | (~v197(constB81)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB81) | (~v197(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29560,plain,
% 27.00/18.32 (((~v197(constB81)) | v196(constB81)) <=> (v196(constB81) | (~v197(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29561,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB81)) | v196(constB81))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB81) | (~v197(constB81))))),
% 27.00/18.32 inference(monotonicity,[status(thm)],[29560])).
% 27.00/18.32 tff(29562,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB81)) | v196(constB81))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB81) | (~v197(constB81)))),
% 27.00/18.32 inference(transitivity,[status(thm)],[29561, 29559])).
% 27.00/18.32 tff(29563,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB81)) | v196(constB81))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29564,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB81) | (~v197(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29563, 29562])).
% 27.00/18.32 tff(29565,plain,
% 27.00/18.32 (v196(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29564, 97, 29558])).
% 27.00/18.32 tff(29566,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB81)) | (~v196(constB81)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB81)) | (~v196(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29567,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB81)) | (~v196(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29568,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB81)) | (~v196(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29567, 29566])).
% 27.00/18.32 tff(29569,plain,
% 27.00/18.32 (~v194(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29568, 108, 29565])).
% 27.00/18.32 tff(29570,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB81) | v198(constB81) | (~v191(constB81)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB81) | v198(constB81) | (~v191(constB81)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29571,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB81) | v198(constB81) | (~v191(constB81)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29572,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB81) | v198(constB81) | (~v191(constB81))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29571, 29570])).
% 27.00/18.32 tff(29573,plain,
% 27.00/18.32 (v198(constB81) | (~v191(constB81))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29572, 8171, 29569])).
% 27.00/18.32 tff(29574,plain,
% 27.00/18.32 (~v191(constB81)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29573, 29531])).
% 27.00/18.32 tff(29575,plain,
% 27.00/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB81, constB82)) | v191(constB81) | (~v193(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB81, constB82)) | v191(constB81) | (~v193(constB82)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29576,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB81, constB82)) | v191(constB81) | (~v193(constB82)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29577,plain,
% 27.00/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB81, constB82)) | v191(constB81) | (~v193(constB82))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29576, 29575])).
% 27.00/18.32 tff(29578,plain,
% 27.00/18.32 (v191(constB81) | (~v193(constB82))),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29577, 8186, 10564])).
% 27.00/18.32 tff(29579,plain,
% 27.00/18.32 (~v193(constB82)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29578, 29574])).
% 27.00/18.32 tff(29580,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB82) | (~v194(constB82)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB82) | (~v194(constB82)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29581,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB82) | (~v194(constB82)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29582,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB82) | (~v194(constB82))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29581, 29580])).
% 27.00/18.32 tff(29583,plain,
% 27.00/18.32 (~v194(constB82)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29582, 8201, 29579])).
% 27.00/18.32 tff(29584,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB82)) | (~v197(constB82)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB82)) | (~v197(constB82)))),
% 27.00/18.32 inference(rewrite,[status(thm)],[])).
% 27.00/18.32 tff(29585,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB82)) | (~v197(constB82)))),
% 27.00/18.32 inference(quant_inst,[status(thm)],[])).
% 27.00/18.32 tff(29586,plain,
% 27.00/18.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB82)) | (~v197(constB82))),
% 27.00/18.32 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 27.00/18.32 tff(29587,plain,
% 27.00/18.32 (~v197(constB82)),
% 27.00/18.32 inference(unit_resolution,[status(thm)],[29586, 8215, 10693])).
% 27.00/18.32 tff(29588,plain,
% 27.00/18.32 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB82) | (~v200(constB82)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB82) | (~v200(constB82)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29589,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB82) | (~v200(constB82)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29590,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB82) | (~v200(constB82))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29589, 29588])).
% 27.00/18.33 tff(29591,plain,
% 27.00/18.33 (~v200(constB82)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29590, 8229, 29587])).
% 27.00/18.33 tff(29592,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB82) | (~v198(constB82)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB82) | (~v198(constB82)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29593,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB82) | (~v198(constB82)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29594,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB82) | (~v198(constB82))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29593, 29592])).
% 27.00/18.33 tff(29595,plain,
% 27.00/18.33 (~v198(constB82)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29594, 8157, 29591])).
% 27.00/18.33 tff(29596,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB82) | v198(constB82) | (~v191(constB82)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB82) | v198(constB82) | (~v191(constB82)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29597,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB82) | v198(constB82) | (~v191(constB82)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29598,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB82) | v198(constB82) | (~v191(constB82))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29597, 29596])).
% 27.00/18.33 tff(29599,plain,
% 27.00/18.33 (v194(constB82) | (~v191(constB82))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29598, 8171, 29595])).
% 27.00/18.33 tff(29600,plain,
% 27.00/18.33 (~v191(constB82)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29599, 29583])).
% 27.00/18.33 tff(29601,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB82, constB83)) | v191(constB82) | (~v193(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB82, constB83)) | v191(constB82) | (~v193(constB83)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29602,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB82, constB83)) | v191(constB82) | (~v193(constB83)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29603,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB82, constB83)) | v191(constB82) | (~v193(constB83))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29602, 29601])).
% 27.00/18.33 tff(29604,plain,
% 27.00/18.33 (v191(constB82) | (~v193(constB83))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29603, 8186, 10724])).
% 27.00/18.33 tff(29605,plain,
% 27.00/18.33 (~v193(constB83)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29604, 29600])).
% 27.00/18.33 tff(29606,plain,
% 27.00/18.33 ($false),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29605, 29419])).
% 27.00/18.33 tff(29607,plain,(~(constB83 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.33 tff(29608,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.33 tff(29609,plain,
% 27.00/18.33 (v193(constB179) <=> v193(sK0_VarCurr)),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29608])).
% 27.00/18.33 tff(29610,plain,
% 27.00/18.33 (v193(sK0_VarCurr) <=> v193(constB179)),
% 27.00/18.33 inference(symmetry,[status(thm)],[29609])).
% 27.00/18.33 tff(29611,plain,
% 27.00/18.33 (v193(constB179)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[8270, 29610])).
% 27.00/18.33 tff(29612,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB175, bitIndex2)) | v90(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB175, bitIndex2)) | v90(constB175, bitIndex2))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29613,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB175, bitIndex2)) | v90(constB175, bitIndex2))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29614,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB175, bitIndex2)) | v90(constB175, bitIndex2)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29613, 29612])).
% 27.00/18.33 tff(29615,plain,
% 27.00/18.33 (~v88(constB175, bitIndex2)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29614, 25366, 22010])).
% 27.00/18.33 tff(29616,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29617,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29618,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 27.00/18.33 tff(29619,plain,
% 27.00/18.33 (v88(constB175, bitIndex1)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29618, 8034, 22041])).
% 27.00/18.33 tff(29620,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29621,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29622,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29621, 29620])).
% 27.00/18.33 tff(29623,plain,
% 27.00/18.33 (v88(constB175, bitIndex0)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29622, 26352, 22072])).
% 27.00/18.33 tff(29624,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29625,plain,
% 27.00/18.33 ((v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175)) <=> ((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29626,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175)))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29625])).
% 27.00/18.33 tff(29627,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29626, 29624])).
% 27.00/18.33 tff(29628,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29629,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)) | v141(constB175)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29628, 29627])).
% 27.00/18.33 tff(29630,plain,
% 27.00/18.33 (v141(constB175)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29629, 26366, 29623, 29619, 29615])).
% 27.00/18.33 tff(29631,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB175)) | v168(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB175)) | v168(constB175))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29632,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB175)) | v168(constB175))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29633,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB175)) | v168(constB175)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 27.00/18.33 tff(29634,plain,
% 27.00/18.33 (v168(constB175)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29633, 26380, 29630])).
% 27.00/18.33 tff(29635,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB175) | (~v168(constB175)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29636,plain,
% 27.00/18.33 (((~v168(constB175)) | v167(constB175)) <=> (v167(constB175) | (~v168(constB175)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29637,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB175)) | v167(constB175))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB175) | (~v168(constB175))))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29636])).
% 27.00/18.33 tff(29638,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB175)) | v167(constB175))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB175) | (~v168(constB175)))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29637, 29635])).
% 27.00/18.33 tff(29639,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB175)) | v167(constB175))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29640,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB175) | (~v168(constB175))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29639, 29638])).
% 27.00/18.33 tff(29641,plain,
% 27.00/18.33 (v167(constB175)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29640, 23043, 29634])).
% 27.00/18.33 tff(29642,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB175)) | (~v170(constB175)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB175)) | (~v170(constB175)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29643,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB175)) | (~v170(constB175)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29644,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB175)) | (~v170(constB175))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29643, 29642])).
% 27.00/18.33 tff(29645,plain,
% 27.00/18.33 (~v170(constB175)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29644, 8084, 29641])).
% 27.00/18.33 tff(29646,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB175) | (~v167(constB175)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB175) | (~v167(constB175)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29647,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB175) | (~v167(constB175)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29648,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB175) | (~v167(constB175))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 27.00/18.33 tff(29649,plain,
% 27.00/18.33 (v166(constB175)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29648, 8098, 29641])).
% 27.00/18.33 tff(29650,plain,
% 27.00/18.33 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB175)) | (~v166(constB175)) | v170(constB175))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB175)) | (~v166(constB175)) | v170(constB175))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29651,plain,
% 27.00/18.33 (((~v166(constB175)) | v170(constB175) | (~v163(constB175))) <=> ((~v163(constB175)) | (~v166(constB175)) | v170(constB175))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29652,plain,
% 27.00/18.33 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB175)) | v170(constB175) | (~v163(constB175)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB175)) | (~v166(constB175)) | v170(constB175)))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29651])).
% 27.00/18.33 tff(29653,plain,
% 27.00/18.33 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB175)) | v170(constB175) | (~v163(constB175)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB175)) | (~v166(constB175)) | v170(constB175))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29652, 29650])).
% 27.00/18.33 tff(29654,plain,
% 27.00/18.33 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB175)) | v170(constB175) | (~v163(constB175)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29655,plain,
% 27.00/18.33 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB175)) | (~v166(constB175)) | v170(constB175)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29654, 29653])).
% 27.00/18.33 tff(29656,plain,
% 27.00/18.33 (~v163(constB175)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29655, 8112, 29649, 29645])).
% 27.00/18.33 tff(29657,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB175) | (~nextState(constB175, constB176)) | (~v186(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB175) | (~nextState(constB175, constB176)) | (~v186(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29658,plain,
% 27.00/18.33 (((~nextState(constB175, constB176)) | v163(constB175) | (~v186(constB176))) <=> (v163(constB175) | (~nextState(constB175, constB176)) | (~v186(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29659,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB175, constB176)) | v163(constB175) | (~v186(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB175) | (~nextState(constB175, constB176)) | (~v186(constB176))))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29658])).
% 27.00/18.33 tff(29660,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB175, constB176)) | v163(constB175) | (~v186(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB175) | (~nextState(constB175, constB176)) | (~v186(constB176)))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29659, 29657])).
% 27.00/18.33 tff(29661,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB175, constB176)) | v163(constB175) | (~v186(constB176)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29662,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB175) | (~nextState(constB175, constB176)) | (~v186(constB176))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29661, 29660])).
% 27.00/18.33 tff(29663,plain,
% 27.00/18.33 (v163(constB175) | (~v186(constB176))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29662, 19345, 22120])).
% 27.00/18.33 tff(29664,plain,
% 27.00/18.33 (~v186(constB176)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29663, 29656])).
% 27.00/18.33 tff(29665,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB175, constB176)) | v181(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB175, constB176)) | v181(constB176) | v104(constB176))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29666,plain,
% 27.00/18.33 (((~nextState(constB175, constB176)) | v104(constB176) | v181(constB176)) <=> ((~nextState(constB175, constB176)) | v181(constB176) | v104(constB176))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29667,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v181(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB175, constB176)) | v181(constB176) | v104(constB176)))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29666])).
% 27.00/18.33 tff(29668,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v181(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB175, constB176)) | v181(constB176) | v104(constB176))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29667, 29665])).
% 27.00/18.33 tff(29669,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | v181(constB176))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29670,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB175, constB176)) | v181(constB176) | v104(constB176)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29669, 29668])).
% 27.00/18.33 tff(29671,plain,
% 27.00/18.33 (v181(constB176) | v104(constB176)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29670, 19367, 22120])).
% 27.00/18.33 tff(29672,plain,
% 27.00/18.33 (v181(constB176)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29671, 22132])).
% 27.00/18.33 tff(29673,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB175, constB176)) | v180(constB176) | (~v1(constB176)) | (~v181(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB175, constB176)) | v180(constB176) | (~v1(constB176)) | (~v181(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29674,plain,
% 27.00/18.33 (((~nextState(constB175, constB176)) | (~v1(constB176)) | v180(constB176) | (~v181(constB176))) <=> ((~nextState(constB175, constB176)) | v180(constB176) | (~v1(constB176)) | (~v181(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29675,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v180(constB176) | (~v181(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB175, constB176)) | v180(constB176) | (~v1(constB176)) | (~v181(constB176))))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29674])).
% 27.00/18.33 tff(29676,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v180(constB176) | (~v181(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB175, constB176)) | v180(constB176) | (~v1(constB176)) | (~v181(constB176)))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29675, 29673])).
% 27.00/18.33 tff(29677,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB175, constB176)) | (~v1(constB176)) | v180(constB176) | (~v181(constB176)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29678,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB175, constB176)) | v180(constB176) | (~v1(constB176)) | (~v181(constB176))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29677, 29676])).
% 27.00/18.33 tff(29679,plain,
% 27.00/18.33 (v180(constB176) | (~v181(constB176))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29678, 19385, 22120, 22143])).
% 27.00/18.33 tff(29680,plain,
% 27.00/18.33 (v180(constB176)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29679, 29672])).
% 27.00/18.33 tff(29681,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB175, constB176)) | v179(constB176) | (~v180(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB175, constB176)) | v179(constB176) | (~v180(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29682,plain,
% 27.00/18.33 (((~nextState(constB175, constB176)) | (~v180(constB176)) | v179(constB176)) <=> ((~nextState(constB175, constB176)) | v179(constB176) | (~v180(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29683,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB175, constB176)) | (~v180(constB176)) | v179(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB175, constB176)) | v179(constB176) | (~v180(constB176))))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29682])).
% 27.00/18.33 tff(29684,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB175, constB176)) | (~v180(constB176)) | v179(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB175, constB176)) | v179(constB176) | (~v180(constB176)))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29683, 29681])).
% 27.00/18.33 tff(29685,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB175, constB176)) | (~v180(constB176)) | v179(constB176))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29686,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB175, constB176)) | v179(constB176) | (~v180(constB176))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 27.00/18.33 tff(29687,plain,
% 27.00/18.33 (v179(constB176) | (~v180(constB176))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29686, 19403, 22120])).
% 27.00/18.33 tff(29688,plain,
% 27.00/18.33 (v179(constB176)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29687, 29680])).
% 27.00/18.33 tff(29689,plain,
% 27.00/18.33 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB176) | (~v159(constB176)) | (~v179(constB176)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB176) | (~v159(constB176)) | (~v179(constB176)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29690,plain,
% 27.00/18.33 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB176) | (~v159(constB176)) | (~v179(constB176)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29691,plain,
% 27.00/18.33 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB176) | (~v159(constB176)) | (~v179(constB176))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 27.00/18.33 tff(29692,plain,
% 27.00/18.33 (v186(constB176) | (~v159(constB176))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29691, 19421, 29688])).
% 27.00/18.33 tff(29693,plain,
% 27.00/18.33 (~v159(constB176)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29692, 29664])).
% 27.00/18.33 tff(29694,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v180(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v180(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29695,plain,
% 27.00/18.33 (((~nextState(constB176, constB177)) | v1(constB177) | (~v180(constB177))) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v180(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29696,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v1(constB177) | (~v180(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v180(constB177))))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29695])).
% 27.00/18.33 tff(29697,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v1(constB177) | (~v180(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v180(constB177)))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29696, 29694])).
% 27.00/18.33 tff(29698,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v1(constB177) | (~v180(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29699,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v180(constB177))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29698, 29697])).
% 27.00/18.33 tff(29700,plain,
% 27.00/18.33 (~v180(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29699, 19439, 22188, 22185])).
% 27.00/18.33 tff(29701,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB176, constB177)) | v180(constB177) | (~v179(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB176, constB177)) | v180(constB177) | (~v179(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29702,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB176, constB177)) | v180(constB177) | (~v179(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29703,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB176, constB177)) | v180(constB177) | (~v179(constB177))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29702, 29701])).
% 27.00/18.33 tff(29704,plain,
% 27.00/18.33 (v180(constB177) | (~v179(constB177))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29703, 19456, 22188])).
% 27.00/18.33 tff(29705,plain,
% 27.00/18.33 (~v179(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29704, 29700])).
% 27.00/18.33 tff(29706,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB176) | (~nextState(constB176, constB177)) | v179(constB177) | (~v159(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB176) | (~nextState(constB176, constB177)) | v179(constB177) | (~v159(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29707,plain,
% 27.00/18.33 (((~nextState(constB176, constB177)) | v179(constB177) | v159(constB176) | (~v159(constB177))) <=> (v159(constB176) | (~nextState(constB176, constB177)) | v179(constB177) | (~v159(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29708,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB176, constB177)) | v179(constB177) | v159(constB176) | (~v159(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB176) | (~nextState(constB176, constB177)) | v179(constB177) | (~v159(constB177))))),
% 27.00/18.33 inference(monotonicity,[status(thm)],[29707])).
% 27.00/18.33 tff(29709,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB176, constB177)) | v179(constB177) | v159(constB176) | (~v159(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB176) | (~nextState(constB176, constB177)) | v179(constB177) | (~v159(constB177)))),
% 27.00/18.33 inference(transitivity,[status(thm)],[29708, 29706])).
% 27.00/18.33 tff(29710,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB176, constB177)) | v179(constB177) | v159(constB176) | (~v159(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29711,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB176) | (~nextState(constB176, constB177)) | v179(constB177) | (~v159(constB177))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29710, 29709])).
% 27.00/18.33 tff(29712,plain,
% 27.00/18.33 (v159(constB176) | v179(constB177) | (~v159(constB177))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29711, 19471, 22188])).
% 27.00/18.33 tff(29713,plain,
% 27.00/18.33 (v159(constB176) | (~v159(constB177))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29712, 29705])).
% 27.00/18.33 tff(29714,plain,
% 27.00/18.33 (~v159(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29713, 29693])).
% 27.00/18.33 tff(29715,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB177) | (~v201(constB177)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB177) | (~v201(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29716,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB177) | (~v201(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29717,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB177) | (~v201(constB177))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 27.00/18.33 tff(29718,plain,
% 27.00/18.33 (~v201(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29717, 19490, 29714])).
% 27.00/18.33 tff(29719,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB177) | (~v200(constB177)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB177) | (~v200(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29720,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB177) | (~v200(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29721,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB177) | (~v200(constB177))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29720, 29719])).
% 27.00/18.33 tff(29722,plain,
% 27.00/18.33 (~v200(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29721, 8143, 29718])).
% 27.00/18.33 tff(29723,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB177) | (~v198(constB177)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB177) | (~v198(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29724,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB177) | (~v198(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29725,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB177) | (~v198(constB177))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29724, 29723])).
% 27.00/18.33 tff(29726,plain,
% 27.00/18.33 (~v198(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29725, 8157, 29722])).
% 27.00/18.33 tff(29727,assumption,(v18(constB178)), introduced(assumption)).
% 27.00/18.33 tff(29728,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB178))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29729,plain,
% 27.00/18.33 ($false),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29728, 8, 29727])).
% 27.00/18.33 tff(29730,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.33 tff(29731,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29732,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29733,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29732, 29731])).
% 27.00/18.33 tff(29734,plain,
% 27.00/18.33 (v22(constB178)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29733, 24, 22322])).
% 27.00/18.33 tff(29735,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29736,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29737,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29736, 29735])).
% 27.00/18.33 tff(29738,plain,
% 27.00/18.33 (v18(constB178) | (~v19(constB178))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29737, 38, 29734])).
% 27.00/18.33 tff(29739,plain,
% 27.00/18.33 (~v19(constB178)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29738, 29730])).
% 27.00/18.33 tff(29740,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29741,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29742,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29741, 29740])).
% 27.00/18.33 tff(29743,plain,
% 27.00/18.33 (v13(constB178)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29742, 50, 29739])).
% 27.00/18.33 tff(29744,plain,
% 27.00/18.33 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29745,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29746,plain,
% 27.00/18.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178))),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29745, 29744])).
% 27.00/18.33 tff(29747,plain,
% 27.00/18.33 (v9(constB177) | (~v13(constB178))),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29746, 67, 22300])).
% 27.00/18.33 tff(29748,plain,
% 27.00/18.33 (v9(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29747, 29743])).
% 27.00/18.33 tff(29749,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v197(constB177))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB177) | (~v9(constB177)) | v197(constB177))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29750,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v197(constB177))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29751,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB177) | (~v9(constB177)) | v197(constB177)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29750, 29749])).
% 27.00/18.33 tff(29752,plain,
% 27.00/18.33 ((~v9(constB177)) | v197(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29751, 85, 22185])).
% 27.00/18.33 tff(29753,plain,
% 27.00/18.33 (v197(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29752, 29748])).
% 27.00/18.33 tff(29754,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB177)) | v196(constB177))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB177)) | v196(constB177))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29755,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB177)) | v196(constB177))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.33 tff(29756,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB177)) | v196(constB177)),
% 27.00/18.33 inference(modus_ponens,[status(thm)],[29755, 29754])).
% 27.00/18.33 tff(29757,plain,
% 27.00/18.33 (v196(constB177)),
% 27.00/18.33 inference(unit_resolution,[status(thm)],[29756, 97, 29753])).
% 27.00/18.33 tff(29758,plain,
% 27.00/18.33 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB177)) | (~v196(constB177)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB177)) | (~v196(constB177)))),
% 27.00/18.33 inference(rewrite,[status(thm)],[])).
% 27.00/18.33 tff(29759,plain,
% 27.00/18.33 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB177)) | (~v196(constB177)))),
% 27.00/18.33 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29760,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB177)) | (~v196(constB177))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 27.00/18.34 tff(29761,plain,
% 27.00/18.34 (~v194(constB177)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29760, 108, 29757])).
% 27.00/18.34 tff(29762,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB177) | v198(constB177) | (~v191(constB177)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB177) | v198(constB177) | (~v191(constB177)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29763,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB177) | v198(constB177) | (~v191(constB177)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29764,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB177) | v198(constB177) | (~v191(constB177))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29763, 29762])).
% 27.00/18.34 tff(29765,plain,
% 27.00/18.34 (v198(constB177) | (~v191(constB177))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29764, 8171, 29761])).
% 27.00/18.34 tff(29766,plain,
% 27.00/18.34 (~v191(constB177)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29765, 29726])).
% 27.00/18.34 tff(29767,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB177, constB178)) | v191(constB177) | (~v193(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB177, constB178)) | v191(constB177) | (~v193(constB178)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29768,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB177, constB178)) | v191(constB177) | (~v193(constB178)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29769,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB177, constB178)) | v191(constB177) | (~v193(constB178))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 27.00/18.34 tff(29770,plain,
% 27.00/18.34 (v191(constB177) | (~v193(constB178))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29769, 8186, 22300])).
% 27.00/18.34 tff(29771,plain,
% 27.00/18.34 (~v193(constB178)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29770, 29766])).
% 27.00/18.34 tff(29772,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB178) | (~v194(constB178)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB178) | (~v194(constB178)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29773,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB178) | (~v194(constB178)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29774,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB178) | (~v194(constB178))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29773, 29772])).
% 27.00/18.34 tff(29775,plain,
% 27.00/18.34 (~v194(constB178)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29774, 8201, 29771])).
% 27.00/18.34 tff(29776,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB178)) | (~v197(constB178)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB178)) | (~v197(constB178)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29777,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB178)) | (~v197(constB178)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29778,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB178)) | (~v197(constB178))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29777, 29776])).
% 27.00/18.34 tff(29779,plain,
% 27.00/18.34 (~v197(constB178)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29778, 8215, 22322])).
% 27.00/18.34 tff(29780,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB178) | (~v200(constB178)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB178) | (~v200(constB178)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29781,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB178) | (~v200(constB178)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29782,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB178) | (~v200(constB178))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 27.00/18.34 tff(29783,plain,
% 27.00/18.34 (~v200(constB178)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29782, 8229, 29779])).
% 27.00/18.34 tff(29784,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB178) | (~v198(constB178)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB178) | (~v198(constB178)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29785,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB178) | (~v198(constB178)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29786,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB178) | (~v198(constB178))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29785, 29784])).
% 27.00/18.34 tff(29787,plain,
% 27.00/18.34 (~v198(constB178)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29786, 8157, 29783])).
% 27.00/18.34 tff(29788,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB178) | v198(constB178) | (~v191(constB178)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB178) | v198(constB178) | (~v191(constB178)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29789,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB178) | v198(constB178) | (~v191(constB178)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29790,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB178) | v198(constB178) | (~v191(constB178))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29789, 29788])).
% 27.00/18.34 tff(29791,plain,
% 27.00/18.34 (v194(constB178) | (~v191(constB178))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29790, 8171, 29787])).
% 27.00/18.34 tff(29792,plain,
% 27.00/18.34 (~v191(constB178)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29791, 29775])).
% 27.00/18.34 tff(29793,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB178, constB179)) | v191(constB178) | (~v193(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB178, constB179)) | v191(constB178) | (~v193(constB179)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29794,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB178, constB179)) | v191(constB178) | (~v193(constB179)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29795,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB178, constB179)) | v191(constB178) | (~v193(constB179))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 27.00/18.34 tff(29796,plain,
% 27.00/18.34 (v191(constB178) | (~v193(constB179))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29795, 8186, 22680])).
% 27.00/18.34 tff(29797,plain,
% 27.00/18.34 (~v193(constB179)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29796, 29792])).
% 27.00/18.34 tff(29798,plain,
% 27.00/18.34 ($false),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29797, 29611])).
% 27.00/18.34 tff(29799,plain,(~(constB179 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.34 tff(29800,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 27.00/18.34 tff(29801,plain,
% 27.00/18.34 (v193(constB19) <=> v193(sK0_VarCurr)),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29800])).
% 27.00/18.34 tff(29802,plain,
% 27.00/18.34 (v193(sK0_VarCurr) <=> v193(constB19)),
% 27.00/18.34 inference(symmetry,[status(thm)],[29801])).
% 27.00/18.34 tff(29803,plain,
% 27.00/18.34 (v193(constB19)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[8270, 29802])).
% 27.00/18.34 tff(29804,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB15, bitIndex2)) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB15, bitIndex2)) | v90(constB15, bitIndex2))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29805,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB15, bitIndex2)) | v90(constB15, bitIndex2))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29806,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB15, bitIndex2)) | v90(constB15, bitIndex2)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29805, 29804])).
% 27.00/18.34 tff(29807,plain,
% 27.00/18.34 (~v88(constB15, bitIndex2)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29806, 25366, 2405])).
% 27.00/18.34 tff(29808,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB15, bitIndex1)) | v90(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB15, bitIndex1)) | v90(constB15, bitIndex1))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29809,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB15, bitIndex1)) | v90(constB15, bitIndex1))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29810,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB15, bitIndex1)) | v90(constB15, bitIndex1)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 27.00/18.34 tff(29811,plain,
% 27.00/18.34 (~v88(constB15, bitIndex1)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29810, 25377, 2449])).
% 27.00/18.34 tff(29812,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29813,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29814,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29813, 29812])).
% 27.00/18.34 tff(29815,plain,
% 27.00/18.34 (v88(constB15, bitIndex0)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29814, 26352, 2490])).
% 27.00/18.34 tff(29816,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex1) | v88(constB15, bitIndex2) | (~v88(constB15, bitIndex0)) | v140(constB15))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB15, bitIndex1) | v88(constB15, bitIndex2) | (~v88(constB15, bitIndex0)) | v140(constB15))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29817,plain,
% 27.00/18.34 ((v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15)) <=> (v88(constB15, bitIndex1) | v88(constB15, bitIndex2) | (~v88(constB15, bitIndex0)) | v140(constB15))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29818,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex1) | v88(constB15, bitIndex2) | (~v88(constB15, bitIndex0)) | v140(constB15)))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29817])).
% 27.00/18.34 tff(29819,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB15, bitIndex1) | v88(constB15, bitIndex2) | (~v88(constB15, bitIndex0)) | v140(constB15))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29818, 29816])).
% 27.00/18.34 tff(29820,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29821,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB15, bitIndex1) | v88(constB15, bitIndex2) | (~v88(constB15, bitIndex0)) | v140(constB15)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29820, 29819])).
% 27.00/18.34 tff(29822,plain,
% 27.00/18.34 (v140(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29821, 26773, 29815, 29811, 29807])).
% 27.00/18.34 tff(29823,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB15)) | v169(constB15))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB15)) | v169(constB15))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29824,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB15)) | v169(constB15))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29825,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB15)) | v169(constB15)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29824, 29823])).
% 27.00/18.34 tff(29826,plain,
% 27.00/18.34 (v169(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29825, 26787, 29822])).
% 27.00/18.34 tff(29827,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB15) | (~v169(constB15)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB15) | (~v169(constB15)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29828,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB15) | (~v169(constB15)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29829,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB15) | (~v169(constB15))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 27.00/18.34 tff(29830,plain,
% 27.00/18.34 (v168(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29829, 23060, 29826])).
% 27.00/18.34 tff(29831,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB15) | (~v168(constB15)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB15) | (~v168(constB15)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29832,plain,
% 27.00/18.34 (((~v168(constB15)) | v167(constB15)) <=> (v167(constB15) | (~v168(constB15)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29833,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB15)) | v167(constB15))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB15) | (~v168(constB15))))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29832])).
% 27.00/18.34 tff(29834,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB15)) | v167(constB15))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB15) | (~v168(constB15)))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29833, 29831])).
% 27.00/18.34 tff(29835,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB15)) | v167(constB15))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29836,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB15) | (~v168(constB15))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 27.00/18.34 tff(29837,plain,
% 27.00/18.34 (v167(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29836, 23043, 29830])).
% 27.00/18.34 tff(29838,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB15)) | (~v170(constB15)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB15)) | (~v170(constB15)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29839,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB15)) | (~v170(constB15)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29840,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB15)) | (~v170(constB15))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29839, 29838])).
% 27.00/18.34 tff(29841,plain,
% 27.00/18.34 (~v170(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29840, 8084, 29837])).
% 27.00/18.34 tff(29842,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB15) | (~v167(constB15)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB15) | (~v167(constB15)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29843,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB15) | (~v167(constB15)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29844,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB15) | (~v167(constB15))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 27.00/18.34 tff(29845,plain,
% 27.00/18.34 (v166(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29844, 8098, 29837])).
% 27.00/18.34 tff(29846,plain,
% 27.00/18.34 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB15)) | (~v166(constB15)) | v170(constB15))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB15)) | (~v166(constB15)) | v170(constB15))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29847,plain,
% 27.00/18.34 (((~v166(constB15)) | v170(constB15) | (~v163(constB15))) <=> ((~v163(constB15)) | (~v166(constB15)) | v170(constB15))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29848,plain,
% 27.00/18.34 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB15)) | v170(constB15) | (~v163(constB15)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB15)) | (~v166(constB15)) | v170(constB15)))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29847])).
% 27.00/18.34 tff(29849,plain,
% 27.00/18.34 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB15)) | v170(constB15) | (~v163(constB15)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB15)) | (~v166(constB15)) | v170(constB15))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29848, 29846])).
% 27.00/18.34 tff(29850,plain,
% 27.00/18.34 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB15)) | v170(constB15) | (~v163(constB15)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29851,plain,
% 27.00/18.34 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB15)) | (~v166(constB15)) | v170(constB15)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29850, 29849])).
% 27.00/18.34 tff(29852,plain,
% 27.00/18.34 (~v163(constB15)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29851, 8112, 29845, 29841])).
% 27.00/18.34 tff(29853,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB15) | (~nextState(constB15, constB16)) | (~v186(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB15) | (~nextState(constB15, constB16)) | (~v186(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29854,plain,
% 27.00/18.34 (((~nextState(constB15, constB16)) | v163(constB15) | (~v186(constB16))) <=> (v163(constB15) | (~nextState(constB15, constB16)) | (~v186(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29855,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB15, constB16)) | v163(constB15) | (~v186(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB15) | (~nextState(constB15, constB16)) | (~v186(constB16))))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29854])).
% 27.00/18.34 tff(29856,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB15, constB16)) | v163(constB15) | (~v186(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB15) | (~nextState(constB15, constB16)) | (~v186(constB16)))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29855, 29853])).
% 27.00/18.34 tff(29857,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB15, constB16)) | v163(constB15) | (~v186(constB16)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29858,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB15) | (~nextState(constB15, constB16)) | (~v186(constB16))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 27.00/18.34 tff(29859,plain,
% 27.00/18.34 (v163(constB15) | (~v186(constB16))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29858, 19345, 2555])).
% 27.00/18.34 tff(29860,plain,
% 27.00/18.34 (~v186(constB16)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29859, 29852])).
% 27.00/18.34 tff(29861,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB15, constB16)) | v181(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB15, constB16)) | v181(constB16) | v104(constB16))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29862,plain,
% 27.00/18.34 (((~nextState(constB15, constB16)) | v104(constB16) | v181(constB16)) <=> ((~nextState(constB15, constB16)) | v181(constB16) | v104(constB16))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29863,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v181(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB15, constB16)) | v181(constB16) | v104(constB16)))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29862])).
% 27.00/18.34 tff(29864,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v181(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB15, constB16)) | v181(constB16) | v104(constB16))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29863, 29861])).
% 27.00/18.34 tff(29865,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | v181(constB16))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29866,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB15, constB16)) | v181(constB16) | v104(constB16)),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29865, 29864])).
% 27.00/18.34 tff(29867,plain,
% 27.00/18.34 (v181(constB16) | v104(constB16)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29866, 19367, 2555])).
% 27.00/18.34 tff(29868,plain,
% 27.00/18.34 (v181(constB16)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29867, 2567])).
% 27.00/18.34 tff(29869,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB15, constB16)) | v180(constB16) | (~v1(constB16)) | (~v181(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB15, constB16)) | v180(constB16) | (~v1(constB16)) | (~v181(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29870,plain,
% 27.00/18.34 (((~nextState(constB15, constB16)) | (~v1(constB16)) | v180(constB16) | (~v181(constB16))) <=> ((~nextState(constB15, constB16)) | v180(constB16) | (~v1(constB16)) | (~v181(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29871,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v180(constB16) | (~v181(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB15, constB16)) | v180(constB16) | (~v1(constB16)) | (~v181(constB16))))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29870])).
% 27.00/18.34 tff(29872,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v180(constB16) | (~v181(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB15, constB16)) | v180(constB16) | (~v1(constB16)) | (~v181(constB16)))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29871, 29869])).
% 27.00/18.34 tff(29873,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB16)) | v180(constB16) | (~v181(constB16)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29874,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB15, constB16)) | v180(constB16) | (~v1(constB16)) | (~v181(constB16))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 27.00/18.34 tff(29875,plain,
% 27.00/18.34 (v180(constB16) | (~v181(constB16))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29874, 19385, 2555, 2578])).
% 27.00/18.34 tff(29876,plain,
% 27.00/18.34 (v180(constB16)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29875, 29868])).
% 27.00/18.34 tff(29877,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB15, constB16)) | v179(constB16) | (~v180(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB15, constB16)) | v179(constB16) | (~v180(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29878,plain,
% 27.00/18.34 (((~nextState(constB15, constB16)) | (~v180(constB16)) | v179(constB16)) <=> ((~nextState(constB15, constB16)) | v179(constB16) | (~v180(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29879,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB15, constB16)) | (~v180(constB16)) | v179(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB15, constB16)) | v179(constB16) | (~v180(constB16))))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29878])).
% 27.00/18.34 tff(29880,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB15, constB16)) | (~v180(constB16)) | v179(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB15, constB16)) | v179(constB16) | (~v180(constB16)))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29879, 29877])).
% 27.00/18.34 tff(29881,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB15, constB16)) | (~v180(constB16)) | v179(constB16))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29882,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB15, constB16)) | v179(constB16) | (~v180(constB16))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29881, 29880])).
% 27.00/18.34 tff(29883,plain,
% 27.00/18.34 (v179(constB16) | (~v180(constB16))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29882, 19403, 2555])).
% 27.00/18.34 tff(29884,plain,
% 27.00/18.34 (v179(constB16)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29883, 29876])).
% 27.00/18.34 tff(29885,plain,
% 27.00/18.34 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB16) | (~v159(constB16)) | (~v179(constB16)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB16) | (~v159(constB16)) | (~v179(constB16)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29886,plain,
% 27.00/18.34 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB16) | (~v159(constB16)) | (~v179(constB16)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29887,plain,
% 27.00/18.34 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB16) | (~v159(constB16)) | (~v179(constB16))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29886, 29885])).
% 27.00/18.34 tff(29888,plain,
% 27.00/18.34 (v186(constB16) | (~v159(constB16))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29887, 19421, 29884])).
% 27.00/18.34 tff(29889,plain,
% 27.00/18.34 (~v159(constB16)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29888, 29860])).
% 27.00/18.34 tff(29890,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v180(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v180(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29891,plain,
% 27.00/18.34 (((~nextState(constB16, constB17)) | v1(constB17) | (~v180(constB17))) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v180(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29892,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB17) | (~v180(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v180(constB17))))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29891])).
% 27.00/18.34 tff(29893,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB17) | (~v180(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v180(constB17)))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29892, 29890])).
% 27.00/18.34 tff(29894,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB17) | (~v180(constB17)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29895,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v180(constB17))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29894, 29893])).
% 27.00/18.34 tff(29896,plain,
% 27.00/18.34 (~v180(constB17)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29895, 19439, 2623, 2620])).
% 27.00/18.34 tff(29897,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB16, constB17)) | v180(constB17) | (~v179(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB16, constB17)) | v180(constB17) | (~v179(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29898,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB16, constB17)) | v180(constB17) | (~v179(constB17)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29899,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB16, constB17)) | v180(constB17) | (~v179(constB17))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29898, 29897])).
% 27.00/18.34 tff(29900,plain,
% 27.00/18.34 (v180(constB17) | (~v179(constB17))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29899, 19456, 2623])).
% 27.00/18.34 tff(29901,plain,
% 27.00/18.34 (~v179(constB17)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29900, 29896])).
% 27.00/18.34 tff(29902,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB16) | (~nextState(constB16, constB17)) | v179(constB17) | (~v159(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB16) | (~nextState(constB16, constB17)) | v179(constB17) | (~v159(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29903,plain,
% 27.00/18.34 (((~nextState(constB16, constB17)) | v179(constB17) | v159(constB16) | (~v159(constB17))) <=> (v159(constB16) | (~nextState(constB16, constB17)) | v179(constB17) | (~v159(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29904,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB16, constB17)) | v179(constB17) | v159(constB16) | (~v159(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB16) | (~nextState(constB16, constB17)) | v179(constB17) | (~v159(constB17))))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29903])).
% 27.00/18.34 tff(29905,plain,
% 27.00/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB16, constB17)) | v179(constB17) | v159(constB16) | (~v159(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB16) | (~nextState(constB16, constB17)) | v179(constB17) | (~v159(constB17)))),
% 27.00/18.34 inference(transitivity,[status(thm)],[29904, 29902])).
% 27.00/18.34 tff(29906,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB16, constB17)) | v179(constB17) | v159(constB16) | (~v159(constB17)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29907,plain,
% 27.00/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB16) | (~nextState(constB16, constB17)) | v179(constB17) | (~v159(constB17))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29906, 29905])).
% 27.00/18.34 tff(29908,plain,
% 27.00/18.34 (v159(constB16) | v179(constB17) | (~v159(constB17))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29907, 19471, 2623])).
% 27.00/18.34 tff(29909,plain,
% 27.00/18.34 (v159(constB16) | (~v159(constB17))),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29908, 29901])).
% 27.00/18.34 tff(29910,plain,
% 27.00/18.34 (~v159(constB17)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29909, 29889])).
% 27.00/18.34 tff(29911,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB17) | (~v201(constB17)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB17) | (~v201(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29912,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB17) | (~v201(constB17)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29913,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB17) | (~v201(constB17))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29912, 29911])).
% 27.00/18.34 tff(29914,plain,
% 27.00/18.34 (~v201(constB17)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29913, 19490, 29910])).
% 27.00/18.34 tff(29915,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB17) | (~v200(constB17)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB17) | (~v200(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29916,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB17) | (~v200(constB17)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29917,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB17) | (~v200(constB17))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29916, 29915])).
% 27.00/18.34 tff(29918,plain,
% 27.00/18.34 (~v200(constB17)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29917, 8143, 29914])).
% 27.00/18.34 tff(29919,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB17) | (~v198(constB17)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB17) | (~v198(constB17)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29920,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB17) | (~v198(constB17)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29921,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB17) | (~v198(constB17))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 27.00/18.34 tff(29922,plain,
% 27.00/18.34 (~v198(constB17)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29921, 8157, 29918])).
% 27.00/18.34 tff(29923,plain,
% 27.00/18.34 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB13)) | (~v170(constB13)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB13)) | (~v170(constB13)))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29924,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB13)) | (~v170(constB13)))),
% 27.00/18.34 inference(quant_inst,[status(thm)],[])).
% 27.00/18.34 tff(29925,plain,
% 27.00/18.34 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB13)) | (~v170(constB13))),
% 27.00/18.34 inference(modus_ponens,[status(thm)],[29924, 29923])).
% 27.00/18.34 tff(29926,plain,
% 27.00/18.34 (~v170(constB13)),
% 27.00/18.34 inference(unit_resolution,[status(thm)],[29925, 8084, 23466])).
% 27.00/18.34 tff(29927,plain,
% 27.00/18.34 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB13)) | (~v166(constB13)) | v170(constB13))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB13)) | (~v166(constB13)) | v170(constB13))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29928,plain,
% 27.00/18.34 (((~v166(constB13)) | v170(constB13) | (~v163(constB13))) <=> ((~v163(constB13)) | (~v166(constB13)) | v170(constB13))),
% 27.00/18.34 inference(rewrite,[status(thm)],[])).
% 27.00/18.34 tff(29929,plain,
% 27.00/18.34 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB13)) | v170(constB13) | (~v163(constB13)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB13)) | (~v166(constB13)) | v170(constB13)))),
% 27.00/18.34 inference(monotonicity,[status(thm)],[29928])).
% 27.00/18.34 tff(29930,plain,
% 27.00/18.34 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB13)) | v170(constB13) | (~v163(constB13)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB13)) | (~v166(constB13)) | v170(constB13))),
% 27.00/18.35 inference(transitivity,[status(thm)],[29929, 29927])).
% 27.00/18.35 tff(29931,plain,
% 27.00/18.35 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB13)) | v170(constB13) | (~v163(constB13)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29932,plain,
% 27.00/18.35 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB13)) | (~v166(constB13)) | v170(constB13)),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 27.00/18.35 tff(29933,plain,
% 27.00/18.35 (~v163(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29932, 8112, 23470, 29926])).
% 27.00/18.35 tff(29934,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB13) | (~v201(constB13)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB13) | (~v201(constB13)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29935,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB13) | (~v201(constB13)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29936,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB13) | (~v201(constB13))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 27.00/18.35 tff(29937,plain,
% 27.00/18.35 (~v201(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29936, 8129, 29933])).
% 27.00/18.35 tff(29938,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB13) | (~v200(constB13)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB13) | (~v200(constB13)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29939,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB13) | (~v200(constB13)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29940,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB13) | (~v200(constB13))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 27.00/18.35 tff(29941,plain,
% 27.00/18.35 (~v200(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29940, 8143, 29937])).
% 27.00/18.35 tff(29942,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB13) | (~v198(constB13)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB13) | (~v198(constB13)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29943,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB13) | (~v198(constB13)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29944,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB13) | (~v198(constB13))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 27.00/18.35 tff(29945,plain,
% 27.00/18.35 (~v198(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29944, 8157, 29941])).
% 27.00/18.35 tff(29946,assumption,(v18(constB14)), introduced(assumption)).
% 27.00/18.35 tff(29947,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB14))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29948,plain,
% 27.00/18.35 ($false),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29947, 8, 29946])).
% 27.00/18.35 tff(29949,plain,(~v18(constB14)), inference(lemma,lemma(discharge,[]))).
% 27.00/18.35 tff(29950,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29951,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29952,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29951, 29950])).
% 27.00/18.35 tff(29953,plain,
% 27.00/18.35 (v22(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29952, 24, 2263])).
% 27.00/18.35 tff(29954,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB14) | (~v22(constB14)) | (~v19(constB14)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB14) | (~v22(constB14)) | (~v19(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29955,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB14) | (~v22(constB14)) | (~v19(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29956,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB14) | (~v22(constB14)) | (~v19(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29955, 29954])).
% 27.00/18.35 tff(29957,plain,
% 27.00/18.35 (v18(constB14) | (~v19(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29956, 38, 29953])).
% 27.00/18.35 tff(29958,plain,
% 27.00/18.35 (~v19(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29957, 29949])).
% 27.00/18.35 tff(29959,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29960,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29961,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14)),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29960, 29959])).
% 27.00/18.35 tff(29962,plain,
% 27.00/18.35 (v13(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29961, 50, 29958])).
% 27.00/18.35 tff(29963,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29964,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29965,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29964, 29963])).
% 27.00/18.35 tff(29966,plain,
% 27.00/18.35 (v9(constB13) | (~v13(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29965, 67, 2240])).
% 27.00/18.35 tff(29967,plain,
% 27.00/18.35 (v9(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29966, 29962])).
% 27.00/18.35 tff(29968,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v197(constB13))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB13) | (~v9(constB13)) | v197(constB13))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29969,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v197(constB13))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29970,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB13) | (~v9(constB13)) | v197(constB13)),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29969, 29968])).
% 27.00/18.35 tff(29971,plain,
% 27.00/18.35 ((~v9(constB13)) | v197(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29970, 85, 2091])).
% 27.00/18.35 tff(29972,plain,
% 27.00/18.35 (v197(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29971, 29967])).
% 27.00/18.35 tff(29973,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB13)) | v196(constB13))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB13)) | v196(constB13))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29974,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB13)) | v196(constB13))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29975,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB13)) | v196(constB13)),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29974, 29973])).
% 27.00/18.35 tff(29976,plain,
% 27.00/18.35 (v196(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29975, 97, 29972])).
% 27.00/18.35 tff(29977,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB13)) | (~v196(constB13)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB13)) | (~v196(constB13)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29978,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB13)) | (~v196(constB13)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29979,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB13)) | (~v196(constB13))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 27.00/18.35 tff(29980,plain,
% 27.00/18.35 (~v194(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29979, 108, 29976])).
% 27.00/18.35 tff(29981,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB13) | v198(constB13) | (~v191(constB13)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB13) | v198(constB13) | (~v191(constB13)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29982,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB13) | v198(constB13) | (~v191(constB13)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29983,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB13) | v198(constB13) | (~v191(constB13))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 27.00/18.35 tff(29984,plain,
% 27.00/18.35 (v198(constB13) | (~v191(constB13))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29983, 8171, 29980])).
% 27.00/18.35 tff(29985,plain,
% 27.00/18.35 (~v191(constB13)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29984, 29945])).
% 27.00/18.35 tff(29986,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB13, constB14)) | v191(constB13) | (~v193(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB13, constB14)) | v191(constB13) | (~v193(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29987,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB13, constB14)) | v191(constB13) | (~v193(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29988,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB13, constB14)) | v191(constB13) | (~v193(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 27.00/18.35 tff(29989,plain,
% 27.00/18.35 (v191(constB13) | (~v193(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29988, 8186, 2240])).
% 27.00/18.35 tff(29990,plain,
% 27.00/18.35 (~v193(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29989, 29985])).
% 27.00/18.35 tff(29991,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB14) | (~v194(constB14)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB14) | (~v194(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29992,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB14) | (~v194(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29993,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB14) | (~v194(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29992, 29991])).
% 27.00/18.35 tff(29994,plain,
% 27.00/18.35 (~v194(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29993, 8201, 29990])).
% 27.00/18.35 tff(29995,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB14)) | (~v197(constB14)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB14)) | (~v197(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(29996,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB14)) | (~v197(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(29997,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB14)) | (~v197(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[29996, 29995])).
% 27.00/18.35 tff(29998,plain,
% 27.00/18.35 (~v197(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[29997, 8215, 2263])).
% 27.00/18.35 tff(29999,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB14) | (~v200(constB14)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB14) | (~v200(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30000,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB14) | (~v200(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30001,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB14) | (~v200(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 27.00/18.35 tff(30002,plain,
% 27.00/18.35 (~v200(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30001, 8229, 29998])).
% 27.00/18.35 tff(30003,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB14) | (~v198(constB14)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB14) | (~v198(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30004,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB14) | (~v198(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30005,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB14) | (~v198(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30004, 30003])).
% 27.00/18.35 tff(30006,plain,
% 27.00/18.35 (~v198(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30005, 8157, 30002])).
% 27.00/18.35 tff(30007,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB14) | v198(constB14) | (~v191(constB14)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB14) | v198(constB14) | (~v191(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30008,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB14) | v198(constB14) | (~v191(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30009,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB14) | v198(constB14) | (~v191(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30008, 30007])).
% 27.00/18.35 tff(30010,plain,
% 27.00/18.35 (v194(constB14) | (~v191(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30009, 8171, 30006])).
% 27.00/18.35 tff(30011,plain,
% 27.00/18.35 (~v191(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30010, 29994])).
% 27.00/18.35 tff(30012,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB14, constB15)) | v191(constB14) | (~v193(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB14, constB15)) | v191(constB14) | (~v193(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30013,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB14, constB15)) | v191(constB14) | (~v193(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30014,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB14, constB15)) | v191(constB14) | (~v193(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 27.00/18.35 tff(30015,plain,
% 27.00/18.35 (v191(constB14) | (~v193(constB15))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30014, 8186, 2384])).
% 27.00/18.35 tff(30016,plain,
% 27.00/18.35 (~v193(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30015, 30011])).
% 27.00/18.35 tff(30017,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB15) | (~v194(constB15)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB15) | (~v194(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30018,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB15) | (~v194(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30019,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB15) | (~v194(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30018, 30017])).
% 27.00/18.35 tff(30020,plain,
% 27.00/18.35 (~v194(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30019, 8201, 30016])).
% 27.00/18.35 tff(30021,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB13) | (~nextState(constB13, constB14)) | (~v186(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB13) | (~nextState(constB13, constB14)) | (~v186(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30022,plain,
% 27.00/18.35 (((~nextState(constB13, constB14)) | v163(constB13) | (~v186(constB14))) <=> (v163(constB13) | (~nextState(constB13, constB14)) | (~v186(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30023,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB13, constB14)) | v163(constB13) | (~v186(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB13) | (~nextState(constB13, constB14)) | (~v186(constB14))))),
% 27.00/18.35 inference(monotonicity,[status(thm)],[30022])).
% 27.00/18.35 tff(30024,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB13, constB14)) | v163(constB13) | (~v186(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB13) | (~nextState(constB13, constB14)) | (~v186(constB14)))),
% 27.00/18.35 inference(transitivity,[status(thm)],[30023, 30021])).
% 27.00/18.35 tff(30025,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB13, constB14)) | v163(constB13) | (~v186(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30026,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB13) | (~nextState(constB13, constB14)) | (~v186(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 27.00/18.35 tff(30027,plain,
% 27.00/18.35 (v163(constB13) | (~v186(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30026, 19345, 2240])).
% 27.00/18.35 tff(30028,plain,
% 27.00/18.35 (~v186(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30027, 29933])).
% 27.00/18.35 tff(30029,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB13, constB14)) | v181(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB13, constB14)) | v181(constB14) | v104(constB14))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30030,plain,
% 27.00/18.35 (((~nextState(constB13, constB14)) | v104(constB14) | v181(constB14)) <=> ((~nextState(constB13, constB14)) | v181(constB14) | v104(constB14))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30031,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v181(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB13, constB14)) | v181(constB14) | v104(constB14)))),
% 27.00/18.35 inference(monotonicity,[status(thm)],[30030])).
% 27.00/18.35 tff(30032,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v181(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB13, constB14)) | v181(constB14) | v104(constB14))),
% 27.00/18.35 inference(transitivity,[status(thm)],[30031, 30029])).
% 27.00/18.35 tff(30033,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | v181(constB14))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30034,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB13, constB14)) | v181(constB14) | v104(constB14)),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 27.00/18.35 tff(30035,plain,
% 27.00/18.35 (v181(constB14) | v104(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30034, 19367, 2240])).
% 27.00/18.35 tff(30036,plain,
% 27.00/18.35 (v181(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30035, 2252])).
% 27.00/18.35 tff(30037,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB13, constB14)) | v180(constB14) | (~v1(constB14)) | (~v181(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB13, constB14)) | v180(constB14) | (~v1(constB14)) | (~v181(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30038,plain,
% 27.00/18.35 (((~nextState(constB13, constB14)) | (~v1(constB14)) | v180(constB14) | (~v181(constB14))) <=> ((~nextState(constB13, constB14)) | v180(constB14) | (~v1(constB14)) | (~v181(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30039,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v180(constB14) | (~v181(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB13, constB14)) | v180(constB14) | (~v1(constB14)) | (~v181(constB14))))),
% 27.00/18.35 inference(monotonicity,[status(thm)],[30038])).
% 27.00/18.35 tff(30040,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v180(constB14) | (~v181(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB13, constB14)) | v180(constB14) | (~v1(constB14)) | (~v181(constB14)))),
% 27.00/18.35 inference(transitivity,[status(thm)],[30039, 30037])).
% 27.00/18.35 tff(30041,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB14)) | v180(constB14) | (~v181(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30042,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB13, constB14)) | v180(constB14) | (~v1(constB14)) | (~v181(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 27.00/18.35 tff(30043,plain,
% 27.00/18.35 (v180(constB14) | (~v181(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30042, 19385, 2240, 2263])).
% 27.00/18.35 tff(30044,plain,
% 27.00/18.35 (v180(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30043, 30036])).
% 27.00/18.35 tff(30045,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB13, constB14)) | v179(constB14) | (~v180(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB13, constB14)) | v179(constB14) | (~v180(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30046,plain,
% 27.00/18.35 (((~nextState(constB13, constB14)) | (~v180(constB14)) | v179(constB14)) <=> ((~nextState(constB13, constB14)) | v179(constB14) | (~v180(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30047,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB13, constB14)) | (~v180(constB14)) | v179(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB13, constB14)) | v179(constB14) | (~v180(constB14))))),
% 27.00/18.35 inference(monotonicity,[status(thm)],[30046])).
% 27.00/18.35 tff(30048,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB13, constB14)) | (~v180(constB14)) | v179(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB13, constB14)) | v179(constB14) | (~v180(constB14)))),
% 27.00/18.35 inference(transitivity,[status(thm)],[30047, 30045])).
% 27.00/18.35 tff(30049,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB13, constB14)) | (~v180(constB14)) | v179(constB14))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30050,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB13, constB14)) | v179(constB14) | (~v180(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30049, 30048])).
% 27.00/18.35 tff(30051,plain,
% 27.00/18.35 (v179(constB14) | (~v180(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30050, 19403, 2240])).
% 27.00/18.35 tff(30052,plain,
% 27.00/18.35 (v179(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30051, 30044])).
% 27.00/18.35 tff(30053,plain,
% 27.00/18.35 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB14) | (~v159(constB14)) | (~v179(constB14)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB14) | (~v159(constB14)) | (~v179(constB14)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30054,plain,
% 27.00/18.35 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB14) | (~v159(constB14)) | (~v179(constB14)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30055,plain,
% 27.00/18.35 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB14) | (~v159(constB14)) | (~v179(constB14))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30054, 30053])).
% 27.00/18.35 tff(30056,plain,
% 27.00/18.35 (v186(constB14) | (~v159(constB14))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30055, 19421, 30052])).
% 27.00/18.35 tff(30057,plain,
% 27.00/18.35 (~v159(constB14)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30056, 30028])).
% 27.00/18.35 tff(30058,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v180(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v180(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30059,plain,
% 27.00/18.35 (((~nextState(constB14, constB15)) | v1(constB15) | (~v180(constB15))) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v180(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30060,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB15) | (~v180(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v180(constB15))))),
% 27.00/18.35 inference(monotonicity,[status(thm)],[30059])).
% 27.00/18.35 tff(30061,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB15) | (~v180(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v180(constB15)))),
% 27.00/18.35 inference(transitivity,[status(thm)],[30060, 30058])).
% 27.00/18.35 tff(30062,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB15) | (~v180(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30063,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v180(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30062, 30061])).
% 27.00/18.35 tff(30064,plain,
% 27.00/18.35 (~v180(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30063, 19439, 2384, 2381])).
% 27.00/18.35 tff(30065,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB14, constB15)) | v180(constB15) | (~v179(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB14, constB15)) | v180(constB15) | (~v179(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30066,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB14, constB15)) | v180(constB15) | (~v179(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30067,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB14, constB15)) | v180(constB15) | (~v179(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 27.00/18.35 tff(30068,plain,
% 27.00/18.35 (v180(constB15) | (~v179(constB15))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30067, 19456, 2384])).
% 27.00/18.35 tff(30069,plain,
% 27.00/18.35 (~v179(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30068, 30064])).
% 27.00/18.35 tff(30070,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB14) | (~nextState(constB14, constB15)) | v179(constB15) | (~v159(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB14) | (~nextState(constB14, constB15)) | v179(constB15) | (~v159(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30071,plain,
% 27.00/18.35 (((~nextState(constB14, constB15)) | v179(constB15) | v159(constB14) | (~v159(constB15))) <=> (v159(constB14) | (~nextState(constB14, constB15)) | v179(constB15) | (~v159(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30072,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB14, constB15)) | v179(constB15) | v159(constB14) | (~v159(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB14) | (~nextState(constB14, constB15)) | v179(constB15) | (~v159(constB15))))),
% 27.00/18.35 inference(monotonicity,[status(thm)],[30071])).
% 27.00/18.35 tff(30073,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB14, constB15)) | v179(constB15) | v159(constB14) | (~v159(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB14) | (~nextState(constB14, constB15)) | v179(constB15) | (~v159(constB15)))),
% 27.00/18.35 inference(transitivity,[status(thm)],[30072, 30070])).
% 27.00/18.35 tff(30074,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB14, constB15)) | v179(constB15) | v159(constB14) | (~v159(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30075,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB14) | (~nextState(constB14, constB15)) | v179(constB15) | (~v159(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30074, 30073])).
% 27.00/18.35 tff(30076,plain,
% 27.00/18.35 (v159(constB14) | v179(constB15) | (~v159(constB15))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30075, 19471, 2384])).
% 27.00/18.35 tff(30077,plain,
% 27.00/18.35 (v159(constB14) | (~v159(constB15))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30076, 30069])).
% 27.00/18.35 tff(30078,plain,
% 27.00/18.35 (~v159(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30077, 30057])).
% 27.00/18.35 tff(30079,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB15) | (~v201(constB15)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB15) | (~v201(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30080,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB15) | (~v201(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30081,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB15) | (~v201(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30080, 30079])).
% 27.00/18.35 tff(30082,plain,
% 27.00/18.35 (~v201(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30081, 19490, 30078])).
% 27.00/18.35 tff(30083,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB15) | (~v200(constB15)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB15) | (~v200(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30084,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB15) | (~v200(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30085,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB15) | (~v200(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 27.00/18.35 tff(30086,plain,
% 27.00/18.35 (~v200(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30085, 8143, 30082])).
% 27.00/18.35 tff(30087,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB15) | (~v198(constB15)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB15) | (~v198(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30088,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB15) | (~v198(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30089,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB15) | (~v198(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30088, 30087])).
% 27.00/18.35 tff(30090,plain,
% 27.00/18.35 (~v198(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30089, 8157, 30086])).
% 27.00/18.35 tff(30091,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB15) | v198(constB15) | (~v191(constB15)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB15) | v198(constB15) | (~v191(constB15)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30092,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB15) | v198(constB15) | (~v191(constB15)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30093,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB15) | v198(constB15) | (~v191(constB15))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30092, 30091])).
% 27.00/18.35 tff(30094,plain,
% 27.00/18.35 (v194(constB15) | (~v191(constB15))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30093, 8171, 30090])).
% 27.00/18.35 tff(30095,plain,
% 27.00/18.35 (~v191(constB15)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30094, 30020])).
% 27.00/18.35 tff(30096,plain,
% 27.00/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB15, constB16)) | v191(constB15) | (~v193(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB15, constB16)) | v191(constB15) | (~v193(constB16)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30097,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB15, constB16)) | v191(constB15) | (~v193(constB16)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30098,plain,
% 27.00/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB15, constB16)) | v191(constB15) | (~v193(constB16))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30097, 30096])).
% 27.00/18.35 tff(30099,plain,
% 27.00/18.35 (v191(constB15) | (~v193(constB16))),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30098, 8186, 2555])).
% 27.00/18.35 tff(30100,plain,
% 27.00/18.35 (~v193(constB16)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30099, 30095])).
% 27.00/18.35 tff(30101,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB16) | (~v194(constB16)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB16) | (~v194(constB16)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30102,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB16) | (~v194(constB16)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30103,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB16) | (~v194(constB16))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30102, 30101])).
% 27.00/18.35 tff(30104,plain,
% 27.00/18.35 (~v194(constB16)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30103, 8201, 30100])).
% 27.00/18.35 tff(30105,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB16)) | (~v197(constB16)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB16)) | (~v197(constB16)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30106,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB16)) | (~v197(constB16)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30107,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB16)) | (~v197(constB16))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30106, 30105])).
% 27.00/18.35 tff(30108,plain,
% 27.00/18.35 (~v197(constB16)),
% 27.00/18.35 inference(unit_resolution,[status(thm)],[30107, 8215, 2578])).
% 27.00/18.35 tff(30109,plain,
% 27.00/18.35 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB16) | (~v200(constB16)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB16) | (~v200(constB16)))),
% 27.00/18.35 inference(rewrite,[status(thm)],[])).
% 27.00/18.35 tff(30110,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB16) | (~v200(constB16)))),
% 27.00/18.35 inference(quant_inst,[status(thm)],[])).
% 27.00/18.35 tff(30111,plain,
% 27.00/18.35 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB16) | (~v200(constB16))),
% 27.00/18.35 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 27.09/18.36 tff(30112,plain,
% 27.09/18.36 (~v200(constB16)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30111, 8229, 30108])).
% 27.09/18.36 tff(30113,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB16) | (~v198(constB16)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB16) | (~v198(constB16)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30114,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB16) | (~v198(constB16)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30115,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB16) | (~v198(constB16))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30114, 30113])).
% 27.09/18.36 tff(30116,plain,
% 27.09/18.36 (~v198(constB16)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30115, 8157, 30112])).
% 27.09/18.36 tff(30117,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB16) | v198(constB16) | (~v191(constB16)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB16) | v198(constB16) | (~v191(constB16)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30118,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB16) | v198(constB16) | (~v191(constB16)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30119,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB16) | v198(constB16) | (~v191(constB16))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30118, 30117])).
% 27.09/18.36 tff(30120,plain,
% 27.09/18.36 (v194(constB16) | (~v191(constB16))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30119, 8171, 30116])).
% 27.09/18.36 tff(30121,plain,
% 27.09/18.36 (~v191(constB16)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30120, 30104])).
% 27.09/18.36 tff(30122,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB16, constB17)) | v191(constB16) | (~v193(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB16, constB17)) | v191(constB16) | (~v193(constB17)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30123,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB16, constB17)) | v191(constB16) | (~v193(constB17)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30124,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB16, constB17)) | v191(constB16) | (~v193(constB17))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30123, 30122])).
% 27.09/18.36 tff(30125,plain,
% 27.09/18.36 (v191(constB16) | (~v193(constB17))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30124, 8186, 2623])).
% 27.09/18.36 tff(30126,plain,
% 27.09/18.36 (~v193(constB17)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30125, 30121])).
% 27.09/18.36 tff(30127,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB17) | (~v194(constB17)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB17) | (~v194(constB17)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30128,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB17) | (~v194(constB17)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30129,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB17) | (~v194(constB17))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30128, 30127])).
% 27.09/18.36 tff(30130,plain,
% 27.09/18.36 (~v194(constB17)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30129, 8201, 30126])).
% 27.09/18.36 tff(30131,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB17) | v198(constB17) | (~v191(constB17)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB17) | v198(constB17) | (~v191(constB17)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30132,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB17) | v198(constB17) | (~v191(constB17)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30133,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB17) | v198(constB17) | (~v191(constB17))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30132, 30131])).
% 27.09/18.36 tff(30134,plain,
% 27.09/18.36 (v198(constB17) | (~v191(constB17))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30133, 8171, 30130])).
% 27.09/18.36 tff(30135,plain,
% 27.09/18.36 (~v191(constB17)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30134, 29922])).
% 27.09/18.36 tff(30136,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB17, constB18)) | v191(constB17) | (~v193(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB17, constB18)) | v191(constB17) | (~v193(constB18)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30137,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB17, constB18)) | v191(constB17) | (~v193(constB18)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30138,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB17, constB18)) | v191(constB17) | (~v193(constB18))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30137, 30136])).
% 27.09/18.36 tff(30139,plain,
% 27.09/18.36 (v191(constB17) | (~v193(constB18))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30138, 8186, 2757])).
% 27.09/18.36 tff(30140,plain,
% 27.09/18.36 (~v193(constB18)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30139, 30135])).
% 27.09/18.36 tff(30141,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB18) | (~v194(constB18)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB18) | (~v194(constB18)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30142,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB18) | (~v194(constB18)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30143,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB18) | (~v194(constB18))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 27.09/18.36 tff(30144,plain,
% 27.09/18.36 (~v194(constB18)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30143, 8201, 30140])).
% 27.09/18.36 tff(30145,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB18)) | (~v197(constB18)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB18)) | (~v197(constB18)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30146,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB18)) | (~v197(constB18)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30147,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB18)) | (~v197(constB18))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30146, 30145])).
% 27.09/18.36 tff(30148,plain,
% 27.09/18.36 (~v197(constB18)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30147, 8215, 2780])).
% 27.09/18.36 tff(30149,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB18) | (~v200(constB18)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB18) | (~v200(constB18)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30150,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB18) | (~v200(constB18)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30151,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB18) | (~v200(constB18))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30150, 30149])).
% 27.09/18.36 tff(30152,plain,
% 27.09/18.36 (~v200(constB18)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30151, 8229, 30148])).
% 27.09/18.36 tff(30153,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB18) | (~v198(constB18)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB18) | (~v198(constB18)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30154,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB18) | (~v198(constB18)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30155,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB18) | (~v198(constB18))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30154, 30153])).
% 27.09/18.36 tff(30156,plain,
% 27.09/18.36 (~v198(constB18)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30155, 8157, 30152])).
% 27.09/18.36 tff(30157,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB18) | v198(constB18) | (~v191(constB18)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB18) | v198(constB18) | (~v191(constB18)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30158,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB18) | v198(constB18) | (~v191(constB18)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30159,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB18) | v198(constB18) | (~v191(constB18))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30158, 30157])).
% 27.09/18.36 tff(30160,plain,
% 27.09/18.36 (v194(constB18) | (~v191(constB18))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30159, 8171, 30156])).
% 27.09/18.36 tff(30161,plain,
% 27.09/18.36 (~v191(constB18)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30160, 30144])).
% 27.09/18.36 tff(30162,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB18, constB19)) | v191(constB18) | (~v193(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB18, constB19)) | v191(constB18) | (~v193(constB19)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30163,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB18, constB19)) | v191(constB18) | (~v193(constB19)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30164,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB18, constB19)) | v191(constB18) | (~v193(constB19))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 27.09/18.36 tff(30165,plain,
% 27.09/18.36 (v191(constB18) | (~v193(constB19))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30164, 8186, 2825])).
% 27.09/18.36 tff(30166,plain,
% 27.09/18.36 (~v193(constB19)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30165, 30161])).
% 27.09/18.36 tff(30167,plain,
% 27.09/18.36 ($false),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30166, 29803])).
% 27.09/18.36 tff(30168,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.36 tff(30169,assumption,(constB71 = sK0_VarCurr), introduced(assumption)).
% 27.09/18.36 tff(30170,plain,
% 27.09/18.36 (v193(constB71) <=> v193(sK0_VarCurr)),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30169])).
% 27.09/18.36 tff(30171,plain,
% 27.09/18.36 (v193(sK0_VarCurr) <=> v193(constB71)),
% 27.09/18.36 inference(symmetry,[status(thm)],[30170])).
% 27.09/18.36 tff(30172,plain,
% 27.09/18.36 (v193(constB71)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[8270, 30171])).
% 27.09/18.36 tff(30173,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30174,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30175,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30174, 30173])).
% 27.09/18.36 tff(30176,plain,
% 27.09/18.36 (~v88(constB67, bitIndex2)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30175, 25366, 9045])).
% 27.09/18.36 tff(30177,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30178,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30179,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30178, 30177])).
% 27.09/18.36 tff(30180,plain,
% 27.09/18.36 (v88(constB67, bitIndex1)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30179, 8034, 9076])).
% 27.09/18.36 tff(30181,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30182,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30183,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30182, 30181])).
% 27.09/18.36 tff(30184,plain,
% 27.09/18.36 (v88(constB67, bitIndex0)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30183, 26352, 9107])).
% 27.09/18.36 tff(30185,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30186,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30187,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 27.09/18.36 tff(30188,plain,
% 27.09/18.36 (v141(constB67)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30187, 26366, 30184, 30180, 30176])).
% 27.09/18.36 tff(30189,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB67)) | v168(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB67)) | v168(constB67))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30190,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB67)) | v168(constB67))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30191,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB67)) | v168(constB67)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30190, 30189])).
% 27.09/18.36 tff(30192,plain,
% 27.09/18.36 (v168(constB67)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30191, 26380, 30188])).
% 27.09/18.36 tff(30193,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB67) | (~v168(constB67)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30194,plain,
% 27.09/18.36 (((~v168(constB67)) | v167(constB67)) <=> (v167(constB67) | (~v168(constB67)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30195,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB67)) | v167(constB67))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB67) | (~v168(constB67))))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30194])).
% 27.09/18.36 tff(30196,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB67)) | v167(constB67))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB67) | (~v168(constB67)))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30195, 30193])).
% 27.09/18.36 tff(30197,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB67)) | v167(constB67))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30198,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB67) | (~v168(constB67))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30197, 30196])).
% 27.09/18.36 tff(30199,plain,
% 27.09/18.36 (v167(constB67)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30198, 23043, 30192])).
% 27.09/18.36 tff(30200,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB67)) | (~v170(constB67)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB67)) | (~v170(constB67)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30201,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB67)) | (~v170(constB67)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30202,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB67)) | (~v170(constB67))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 27.09/18.36 tff(30203,plain,
% 27.09/18.36 (~v170(constB67)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30202, 8084, 30199])).
% 27.09/18.36 tff(30204,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB67) | (~v167(constB67)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB67) | (~v167(constB67)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30205,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB67) | (~v167(constB67)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30206,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB67) | (~v167(constB67))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 27.09/18.36 tff(30207,plain,
% 27.09/18.36 (v166(constB67)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30206, 8098, 30199])).
% 27.09/18.36 tff(30208,plain,
% 27.09/18.36 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB67)) | (~v166(constB67)) | v170(constB67))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB67)) | (~v166(constB67)) | v170(constB67))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30209,plain,
% 27.09/18.36 (((~v166(constB67)) | v170(constB67) | (~v163(constB67))) <=> ((~v163(constB67)) | (~v166(constB67)) | v170(constB67))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30210,plain,
% 27.09/18.36 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB67)) | v170(constB67) | (~v163(constB67)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB67)) | (~v166(constB67)) | v170(constB67)))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30209])).
% 27.09/18.36 tff(30211,plain,
% 27.09/18.36 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB67)) | v170(constB67) | (~v163(constB67)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB67)) | (~v166(constB67)) | v170(constB67))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30210, 30208])).
% 27.09/18.36 tff(30212,plain,
% 27.09/18.36 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB67)) | v170(constB67) | (~v163(constB67)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30213,plain,
% 27.09/18.36 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB67)) | (~v166(constB67)) | v170(constB67)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30212, 30211])).
% 27.09/18.36 tff(30214,plain,
% 27.09/18.36 (~v163(constB67)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30213, 8112, 30207, 30203])).
% 27.09/18.36 tff(30215,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB67) | (~nextState(constB67, constB68)) | (~v186(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB67) | (~nextState(constB67, constB68)) | (~v186(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30216,plain,
% 27.09/18.36 (((~nextState(constB67, constB68)) | v163(constB67) | (~v186(constB68))) <=> (v163(constB67) | (~nextState(constB67, constB68)) | (~v186(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30217,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB67, constB68)) | v163(constB67) | (~v186(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB67) | (~nextState(constB67, constB68)) | (~v186(constB68))))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30216])).
% 27.09/18.36 tff(30218,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB67, constB68)) | v163(constB67) | (~v186(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB67) | (~nextState(constB67, constB68)) | (~v186(constB68)))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30217, 30215])).
% 27.09/18.36 tff(30219,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB67, constB68)) | v163(constB67) | (~v186(constB68)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30220,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB67) | (~nextState(constB67, constB68)) | (~v186(constB68))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30219, 30218])).
% 27.09/18.36 tff(30221,plain,
% 27.09/18.36 (v163(constB67) | (~v186(constB68))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30220, 19345, 9158])).
% 27.09/18.36 tff(30222,plain,
% 27.09/18.36 (~v186(constB68)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30221, 30214])).
% 27.09/18.36 tff(30223,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB67, constB68)) | v181(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB67, constB68)) | v181(constB68) | v104(constB68))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30224,plain,
% 27.09/18.36 (((~nextState(constB67, constB68)) | v104(constB68) | v181(constB68)) <=> ((~nextState(constB67, constB68)) | v181(constB68) | v104(constB68))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30225,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v181(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB67, constB68)) | v181(constB68) | v104(constB68)))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30224])).
% 27.09/18.36 tff(30226,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v181(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB67, constB68)) | v181(constB68) | v104(constB68))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30225, 30223])).
% 27.09/18.36 tff(30227,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | v181(constB68))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30228,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB67, constB68)) | v181(constB68) | v104(constB68)),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30227, 30226])).
% 27.09/18.36 tff(30229,plain,
% 27.09/18.36 (v181(constB68) | v104(constB68)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30228, 19367, 9158])).
% 27.09/18.36 tff(30230,plain,
% 27.09/18.36 (v181(constB68)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30229, 9170])).
% 27.09/18.36 tff(30231,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB67, constB68)) | v180(constB68) | (~v1(constB68)) | (~v181(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB67, constB68)) | v180(constB68) | (~v1(constB68)) | (~v181(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30232,plain,
% 27.09/18.36 (((~nextState(constB67, constB68)) | (~v1(constB68)) | v180(constB68) | (~v181(constB68))) <=> ((~nextState(constB67, constB68)) | v180(constB68) | (~v1(constB68)) | (~v181(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30233,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v180(constB68) | (~v181(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB67, constB68)) | v180(constB68) | (~v1(constB68)) | (~v181(constB68))))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30232])).
% 27.09/18.36 tff(30234,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v180(constB68) | (~v181(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB67, constB68)) | v180(constB68) | (~v1(constB68)) | (~v181(constB68)))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30233, 30231])).
% 27.09/18.36 tff(30235,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB67, constB68)) | (~v1(constB68)) | v180(constB68) | (~v181(constB68)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30236,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB67, constB68)) | v180(constB68) | (~v1(constB68)) | (~v181(constB68))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30235, 30234])).
% 27.09/18.36 tff(30237,plain,
% 27.09/18.36 (v180(constB68) | (~v181(constB68))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30236, 19385, 9158, 9181])).
% 27.09/18.36 tff(30238,plain,
% 27.09/18.36 (v180(constB68)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30237, 30230])).
% 27.09/18.36 tff(30239,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB67, constB68)) | v179(constB68) | (~v180(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB67, constB68)) | v179(constB68) | (~v180(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30240,plain,
% 27.09/18.36 (((~nextState(constB67, constB68)) | (~v180(constB68)) | v179(constB68)) <=> ((~nextState(constB67, constB68)) | v179(constB68) | (~v180(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30241,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB67, constB68)) | (~v180(constB68)) | v179(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB67, constB68)) | v179(constB68) | (~v180(constB68))))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30240])).
% 27.09/18.36 tff(30242,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB67, constB68)) | (~v180(constB68)) | v179(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB67, constB68)) | v179(constB68) | (~v180(constB68)))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30241, 30239])).
% 27.09/18.36 tff(30243,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB67, constB68)) | (~v180(constB68)) | v179(constB68))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30244,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB67, constB68)) | v179(constB68) | (~v180(constB68))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 27.09/18.36 tff(30245,plain,
% 27.09/18.36 (v179(constB68) | (~v180(constB68))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30244, 19403, 9158])).
% 27.09/18.36 tff(30246,plain,
% 27.09/18.36 (v179(constB68)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30245, 30238])).
% 27.09/18.36 tff(30247,plain,
% 27.09/18.36 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB68) | (~v159(constB68)) | (~v179(constB68)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB68) | (~v159(constB68)) | (~v179(constB68)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30248,plain,
% 27.09/18.36 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB68) | (~v159(constB68)) | (~v179(constB68)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30249,plain,
% 27.09/18.36 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB68) | (~v159(constB68)) | (~v179(constB68))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30248, 30247])).
% 27.09/18.36 tff(30250,plain,
% 27.09/18.36 (v186(constB68) | (~v159(constB68))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30249, 19421, 30246])).
% 27.09/18.36 tff(30251,plain,
% 27.09/18.36 (~v159(constB68)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30250, 30222])).
% 27.09/18.36 tff(30252,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v180(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v180(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30253,plain,
% 27.09/18.36 (((~nextState(constB68, constB69)) | v1(constB69) | (~v180(constB69))) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v180(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30254,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v1(constB69) | (~v180(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v180(constB69))))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30253])).
% 27.09/18.36 tff(30255,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v1(constB69) | (~v180(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v180(constB69)))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30254, 30252])).
% 27.09/18.36 tff(30256,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v1(constB69) | (~v180(constB69)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30257,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v180(constB69))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30256, 30255])).
% 27.09/18.36 tff(30258,plain,
% 27.09/18.36 (~v180(constB69)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30257, 19439, 9226, 9223])).
% 27.09/18.36 tff(30259,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB68, constB69)) | v180(constB69) | (~v179(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB68, constB69)) | v180(constB69) | (~v179(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30260,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB68, constB69)) | v180(constB69) | (~v179(constB69)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30261,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB68, constB69)) | v180(constB69) | (~v179(constB69))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 27.09/18.36 tff(30262,plain,
% 27.09/18.36 (v180(constB69) | (~v179(constB69))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30261, 19456, 9226])).
% 27.09/18.36 tff(30263,plain,
% 27.09/18.36 (~v179(constB69)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30262, 30258])).
% 27.09/18.36 tff(30264,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB68) | (~nextState(constB68, constB69)) | v179(constB69) | (~v159(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB68) | (~nextState(constB68, constB69)) | v179(constB69) | (~v159(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30265,plain,
% 27.09/18.36 (((~nextState(constB68, constB69)) | v179(constB69) | v159(constB68) | (~v159(constB69))) <=> (v159(constB68) | (~nextState(constB68, constB69)) | v179(constB69) | (~v159(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30266,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB68, constB69)) | v179(constB69) | v159(constB68) | (~v159(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB68) | (~nextState(constB68, constB69)) | v179(constB69) | (~v159(constB69))))),
% 27.09/18.36 inference(monotonicity,[status(thm)],[30265])).
% 27.09/18.36 tff(30267,plain,
% 27.09/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB68, constB69)) | v179(constB69) | v159(constB68) | (~v159(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB68) | (~nextState(constB68, constB69)) | v179(constB69) | (~v159(constB69)))),
% 27.09/18.36 inference(transitivity,[status(thm)],[30266, 30264])).
% 27.09/18.36 tff(30268,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB68, constB69)) | v179(constB69) | v159(constB68) | (~v159(constB69)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30269,plain,
% 27.09/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB68) | (~nextState(constB68, constB69)) | v179(constB69) | (~v159(constB69))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30268, 30267])).
% 27.09/18.36 tff(30270,plain,
% 27.09/18.36 (v159(constB68) | v179(constB69) | (~v159(constB69))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30269, 19471, 9226])).
% 27.09/18.36 tff(30271,plain,
% 27.09/18.36 (v159(constB68) | (~v159(constB69))),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30270, 30263])).
% 27.09/18.36 tff(30272,plain,
% 27.09/18.36 (~v159(constB69)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30271, 30251])).
% 27.09/18.36 tff(30273,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB69) | (~v201(constB69)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB69) | (~v201(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30274,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB69) | (~v201(constB69)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30275,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB69) | (~v201(constB69))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 27.09/18.36 tff(30276,plain,
% 27.09/18.36 (~v201(constB69)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30275, 19490, 30272])).
% 27.09/18.36 tff(30277,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB69) | (~v200(constB69)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB69) | (~v200(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30278,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB69) | (~v200(constB69)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30279,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB69) | (~v200(constB69))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30278, 30277])).
% 27.09/18.36 tff(30280,plain,
% 27.09/18.36 (~v200(constB69)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30279, 8143, 30276])).
% 27.09/18.36 tff(30281,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB69) | (~v198(constB69)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB69) | (~v198(constB69)))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30282,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB69) | (~v198(constB69)))),
% 27.09/18.36 inference(quant_inst,[status(thm)],[])).
% 27.09/18.36 tff(30283,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB69) | (~v198(constB69))),
% 27.09/18.36 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 27.09/18.36 tff(30284,plain,
% 27.09/18.36 (~v198(constB69)),
% 27.09/18.36 inference(unit_resolution,[status(thm)],[30283, 8157, 30280])).
% 27.09/18.36 tff(30285,plain,
% 27.09/18.36 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2))),
% 27.09/18.36 inference(rewrite,[status(thm)],[])).
% 27.09/18.36 tff(30286,plain,
% 27.09/18.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30287,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30286, 30285])).
% 27.09/18.37 tff(30288,plain,
% 27.09/18.37 (~v88(constB65, bitIndex2)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30287, 25366, 8839])).
% 27.09/18.37 tff(30289,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30290,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30291,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30290, 30289])).
% 27.09/18.37 tff(30292,plain,
% 27.09/18.37 (~v88(constB65, bitIndex0)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30291, 7950, 8904])).
% 27.09/18.37 tff(30293,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30294,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30295,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30294, 30293])).
% 27.09/18.37 tff(30296,plain,
% 27.09/18.37 (v88(constB65, bitIndex1)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30295, 8034, 8870])).
% 27.09/18.37 tff(30297,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30298,plain,
% 27.09/18.37 ((v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65)) <=> (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30299,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65)))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30298])).
% 27.09/18.37 tff(30300,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30299, 30297])).
% 27.09/18.37 tff(30301,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v143(constB65))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30302,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)) | v143(constB65)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30301, 30300])).
% 27.09/18.37 tff(30303,plain,
% 27.09/18.37 (v143(constB65)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30302, 23093, 30296, 30292, 30288])).
% 27.09/18.37 tff(30304,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB65)) | v142(constB65))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30305,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30306,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB65)) | v142(constB65)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30305, 30304])).
% 27.09/18.37 tff(30307,plain,
% 27.09/18.37 (v142(constB65)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30306, 23075, 30303])).
% 27.09/18.37 tff(30308,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB65)) | v167(constB65))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB65)) | v167(constB65))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30309,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB65)) | v167(constB65))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30310,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB65)) | v167(constB65)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30309, 30308])).
% 27.09/18.37 tff(30311,plain,
% 27.09/18.37 (v167(constB65)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30310, 8073, 30307])).
% 27.09/18.37 tff(30312,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB65)) | (~v170(constB65)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30313,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB65)) | (~v170(constB65)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30314,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB65)) | (~v170(constB65))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30313, 30312])).
% 27.09/18.37 tff(30315,plain,
% 27.09/18.37 (~v170(constB65)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30314, 8084, 30311])).
% 27.09/18.37 tff(30316,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30317,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB65) | (~v167(constB65)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30318,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB65) | (~v167(constB65))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30317, 30316])).
% 27.09/18.37 tff(30319,plain,
% 27.09/18.37 (v166(constB65)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30318, 8098, 30311])).
% 27.09/18.37 tff(30320,plain,
% 27.09/18.37 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30321,plain,
% 27.09/18.37 (((~v166(constB65)) | v170(constB65) | (~v163(constB65))) <=> ((~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30322,plain,
% 27.09/18.37 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB65)) | (~v166(constB65)) | v170(constB65)))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30321])).
% 27.09/18.37 tff(30323,plain,
% 27.09/18.37 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30322, 30320])).
% 27.09/18.37 tff(30324,plain,
% 27.09/18.37 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB65)) | v170(constB65) | (~v163(constB65)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30325,plain,
% 27.09/18.37 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB65)) | (~v166(constB65)) | v170(constB65)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 27.09/18.37 tff(30326,plain,
% 27.09/18.37 (~v163(constB65)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30325, 8112, 30319, 30315])).
% 27.09/18.37 tff(30327,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30328,plain,
% 27.09/18.37 (((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66))) <=> (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30329,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66))))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30328])).
% 27.09/18.37 tff(30330,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66)))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30329, 30327])).
% 27.09/18.37 tff(30331,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB65, constB66)) | v163(constB65) | (~v186(constB66)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30332,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB65) | (~nextState(constB65, constB66)) | (~v186(constB66))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30331, 30330])).
% 27.09/18.37 tff(30333,plain,
% 27.09/18.37 (v163(constB65) | (~v186(constB66))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30332, 19345, 8956])).
% 27.09/18.37 tff(30334,plain,
% 27.09/18.37 (~v186(constB66)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30333, 30326])).
% 27.09/18.37 tff(30335,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30336,plain,
% 27.09/18.37 (((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66)) <=> ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30337,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v181(constB66) | v104(constB66)))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30336])).
% 27.09/18.37 tff(30338,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30337, 30335])).
% 27.09/18.37 tff(30339,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | v181(constB66))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30340,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB65, constB66)) | v181(constB66) | v104(constB66)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 27.09/18.37 tff(30341,plain,
% 27.09/18.37 (v181(constB66) | v104(constB66)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30340, 19367, 8956])).
% 27.09/18.37 tff(30342,plain,
% 27.09/18.37 (v181(constB66)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30341, 8968])).
% 27.09/18.37 tff(30343,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30344,plain,
% 27.09/18.37 (((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66))) <=> ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30345,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66))))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30344])).
% 27.09/18.37 tff(30346,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66)))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30345, 30343])).
% 27.09/18.37 tff(30347,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB65, constB66)) | (~v1(constB66)) | v180(constB66) | (~v181(constB66)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30348,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB65, constB66)) | v180(constB66) | (~v1(constB66)) | (~v181(constB66))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30347, 30346])).
% 27.09/18.37 tff(30349,plain,
% 27.09/18.37 (v180(constB66) | (~v181(constB66))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30348, 19385, 8956, 8979])).
% 27.09/18.37 tff(30350,plain,
% 27.09/18.37 (v180(constB66)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30349, 30342])).
% 27.09/18.37 tff(30351,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30352,plain,
% 27.09/18.37 (((~nextState(constB65, constB66)) | (~v180(constB66)) | v179(constB66)) <=> ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30353,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB65, constB66)) | (~v180(constB66)) | v179(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66))))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30352])).
% 27.09/18.37 tff(30354,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB65, constB66)) | (~v180(constB66)) | v179(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66)))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30353, 30351])).
% 27.09/18.37 tff(30355,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB65, constB66)) | (~v180(constB66)) | v179(constB66))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30356,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB65, constB66)) | v179(constB66) | (~v180(constB66))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30355, 30354])).
% 27.09/18.37 tff(30357,plain,
% 27.09/18.37 (v179(constB66) | (~v180(constB66))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30356, 19403, 8956])).
% 27.09/18.37 tff(30358,plain,
% 27.09/18.37 (v179(constB66)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30357, 30350])).
% 27.09/18.37 tff(30359,plain,
% 27.09/18.37 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB66) | (~v159(constB66)) | (~v179(constB66)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB66) | (~v159(constB66)) | (~v179(constB66)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30360,plain,
% 27.09/18.37 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB66) | (~v159(constB66)) | (~v179(constB66)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30361,plain,
% 27.09/18.37 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB66) | (~v159(constB66)) | (~v179(constB66))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30360, 30359])).
% 27.09/18.37 tff(30362,plain,
% 27.09/18.37 (v186(constB66) | (~v159(constB66))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30361, 19421, 30358])).
% 27.09/18.37 tff(30363,plain,
% 27.09/18.37 (~v159(constB66)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30362, 30334])).
% 27.09/18.37 tff(30364,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30365,plain,
% 27.09/18.37 (((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67))) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30366,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67))))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30365])).
% 27.09/18.37 tff(30367,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67)))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30366, 30364])).
% 27.09/18.37 tff(30368,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v1(constB67) | (~v180(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30369,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v180(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30368, 30367])).
% 27.09/18.37 tff(30370,plain,
% 27.09/18.37 (~v180(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30369, 19439, 9024, 9021])).
% 27.09/18.37 tff(30371,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30372,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30373,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB66, constB67)) | v180(constB67) | (~v179(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30372, 30371])).
% 27.09/18.37 tff(30374,plain,
% 27.09/18.37 (v180(constB67) | (~v179(constB67))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30373, 19456, 9024])).
% 27.09/18.37 tff(30375,plain,
% 27.09/18.37 (~v179(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30374, 30370])).
% 27.09/18.37 tff(30376,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30377,plain,
% 27.09/18.37 (((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67))) <=> (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30378,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67))))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30377])).
% 27.09/18.37 tff(30379,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67)))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30378, 30376])).
% 27.09/18.37 tff(30380,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB66, constB67)) | v179(constB67) | v159(constB66) | (~v159(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30381,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB66) | (~nextState(constB66, constB67)) | v179(constB67) | (~v159(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30380, 30379])).
% 27.09/18.37 tff(30382,plain,
% 27.09/18.37 (v159(constB66) | v179(constB67) | (~v159(constB67))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30381, 19471, 9024])).
% 27.09/18.37 tff(30383,plain,
% 27.09/18.37 (v159(constB66) | (~v159(constB67))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30382, 30375])).
% 27.09/18.37 tff(30384,plain,
% 27.09/18.37 (~v159(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30383, 30363])).
% 27.09/18.37 tff(30385,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB67) | (~v201(constB67)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB67) | (~v201(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30386,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB67) | (~v201(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30387,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB67) | (~v201(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30386, 30385])).
% 27.09/18.37 tff(30388,plain,
% 27.09/18.37 (~v201(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30387, 19490, 30384])).
% 27.09/18.37 tff(30389,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | (~v200(constB67)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | (~v200(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30390,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB67) | (~v200(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30391,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB67) | (~v200(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30390, 30389])).
% 27.09/18.37 tff(30392,plain,
% 27.09/18.37 (~v200(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30391, 8143, 30388])).
% 27.09/18.37 tff(30393,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB67) | (~v198(constB67)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB67) | (~v198(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30394,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB67) | (~v198(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30395,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB67) | (~v198(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30394, 30393])).
% 27.09/18.37 tff(30396,plain,
% 27.09/18.37 (~v198(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30395, 8157, 30392])).
% 27.09/18.37 tff(30397,assumption,(v18(constB68)), introduced(assumption)).
% 27.09/18.37 tff(30398,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB68))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30399,plain,
% 27.09/18.37 ($false),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30398, 8, 30397])).
% 27.09/18.37 tff(30400,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.37 tff(30401,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30402,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30403,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30402, 30401])).
% 27.09/18.37 tff(30404,plain,
% 27.09/18.37 (v22(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30403, 24, 9181])).
% 27.09/18.37 tff(30405,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB68) | (~v22(constB68)) | (~v19(constB68)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB68) | (~v22(constB68)) | (~v19(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30406,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB68) | (~v22(constB68)) | (~v19(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30407,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB68) | (~v22(constB68)) | (~v19(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30406, 30405])).
% 27.09/18.37 tff(30408,plain,
% 27.09/18.37 (v18(constB68) | (~v19(constB68))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30407, 38, 30404])).
% 27.09/18.37 tff(30409,plain,
% 27.09/18.37 (~v19(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30408, 30400])).
% 27.09/18.37 tff(30410,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30411,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30412,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 27.09/18.37 tff(30413,plain,
% 27.09/18.37 (v13(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30412, 50, 30409])).
% 27.09/18.37 tff(30414,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30415,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30416,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 27.09/18.37 tff(30417,plain,
% 27.09/18.37 (v9(constB67) | (~v13(constB68))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30416, 67, 9158])).
% 27.09/18.37 tff(30418,plain,
% 27.09/18.37 (v9(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30417, 30413])).
% 27.09/18.37 tff(30419,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v197(constB67))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB67) | (~v9(constB67)) | v197(constB67))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30420,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v197(constB67))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30421,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB67) | (~v9(constB67)) | v197(constB67)),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30420, 30419])).
% 27.09/18.37 tff(30422,plain,
% 27.09/18.37 ((~v9(constB67)) | v197(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30421, 85, 9021])).
% 27.09/18.37 tff(30423,plain,
% 27.09/18.37 (v197(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30422, 30418])).
% 27.09/18.37 tff(30424,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB67) | (~v197(constB67)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB67) | (~v197(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30425,plain,
% 27.09/18.37 (((~v197(constB67)) | v196(constB67)) <=> (v196(constB67) | (~v197(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30426,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB67)) | v196(constB67))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB67) | (~v197(constB67))))),
% 27.09/18.37 inference(monotonicity,[status(thm)],[30425])).
% 27.09/18.37 tff(30427,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB67)) | v196(constB67))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB67) | (~v197(constB67)))),
% 27.09/18.37 inference(transitivity,[status(thm)],[30426, 30424])).
% 27.09/18.37 tff(30428,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB67)) | v196(constB67))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30429,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB67) | (~v197(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30428, 30427])).
% 27.09/18.37 tff(30430,plain,
% 27.09/18.37 (v196(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30429, 97, 30423])).
% 27.09/18.37 tff(30431,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB67)) | (~v196(constB67)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB67)) | (~v196(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30432,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB67)) | (~v196(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30433,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB67)) | (~v196(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30432, 30431])).
% 27.09/18.37 tff(30434,plain,
% 27.09/18.37 (~v194(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30433, 108, 30430])).
% 27.09/18.37 tff(30435,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB67) | v198(constB67) | (~v191(constB67)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB67) | v198(constB67) | (~v191(constB67)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30436,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB67) | v198(constB67) | (~v191(constB67)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30437,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB67) | v198(constB67) | (~v191(constB67))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 27.09/18.37 tff(30438,plain,
% 27.09/18.37 (v198(constB67) | (~v191(constB67))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30437, 8171, 30434])).
% 27.09/18.37 tff(30439,plain,
% 27.09/18.37 (~v191(constB67)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30438, 30396])).
% 27.09/18.37 tff(30440,plain,
% 27.09/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30441,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30442,plain,
% 27.09/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB67, constB68)) | v191(constB67) | (~v193(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30441, 30440])).
% 27.09/18.37 tff(30443,plain,
% 27.09/18.37 (v191(constB67) | (~v193(constB68))),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30442, 8186, 9158])).
% 27.09/18.37 tff(30444,plain,
% 27.09/18.37 (~v193(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30443, 30439])).
% 27.09/18.37 tff(30445,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB68) | (~v194(constB68)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB68) | (~v194(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30446,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB68) | (~v194(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30447,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB68) | (~v194(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30446, 30445])).
% 27.09/18.37 tff(30448,plain,
% 27.09/18.37 (~v194(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30447, 8201, 30444])).
% 27.09/18.37 tff(30449,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB68)) | (~v197(constB68)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB68)) | (~v197(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30450,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB68)) | (~v197(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30451,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB68)) | (~v197(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30450, 30449])).
% 27.09/18.37 tff(30452,plain,
% 27.09/18.37 (~v197(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30451, 8215, 9181])).
% 27.09/18.37 tff(30453,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB68) | (~v200(constB68)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB68) | (~v200(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30454,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB68) | (~v200(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30455,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB68) | (~v200(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30454, 30453])).
% 27.09/18.37 tff(30456,plain,
% 27.09/18.37 (~v200(constB68)),
% 27.09/18.37 inference(unit_resolution,[status(thm)],[30455, 8229, 30452])).
% 27.09/18.37 tff(30457,plain,
% 27.09/18.37 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB68) | (~v198(constB68)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB68) | (~v198(constB68)))),
% 27.09/18.37 inference(rewrite,[status(thm)],[])).
% 27.09/18.37 tff(30458,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB68) | (~v198(constB68)))),
% 27.09/18.37 inference(quant_inst,[status(thm)],[])).
% 27.09/18.37 tff(30459,plain,
% 27.09/18.37 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB68) | (~v198(constB68))),
% 27.09/18.37 inference(modus_ponens,[status(thm)],[30458, 30457])).
% 27.09/18.38 tff(30460,plain,
% 27.09/18.38 (~v198(constB68)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30459, 8157, 30456])).
% 27.09/18.38 tff(30461,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB68) | v198(constB68) | (~v191(constB68)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB68) | v198(constB68) | (~v191(constB68)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30462,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB68) | v198(constB68) | (~v191(constB68)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30463,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB68) | v198(constB68) | (~v191(constB68))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30462, 30461])).
% 27.09/18.38 tff(30464,plain,
% 27.09/18.38 (v194(constB68) | (~v191(constB68))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30463, 8171, 30460])).
% 27.09/18.38 tff(30465,plain,
% 27.09/18.38 (~v191(constB68)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30464, 30448])).
% 27.09/18.38 tff(30466,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30467,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30468,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB68, constB69)) | v191(constB68) | (~v193(constB69))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30467, 30466])).
% 27.09/18.38 tff(30469,plain,
% 27.09/18.38 (v191(constB68) | (~v193(constB69))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30468, 8186, 9226])).
% 27.09/18.38 tff(30470,plain,
% 27.09/18.38 (~v193(constB69)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30469, 30465])).
% 27.09/18.38 tff(30471,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB69) | (~v194(constB69)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB69) | (~v194(constB69)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30472,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB69) | (~v194(constB69)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30473,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB69) | (~v194(constB69))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30472, 30471])).
% 27.09/18.38 tff(30474,plain,
% 27.09/18.38 (~v194(constB69)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30473, 8201, 30470])).
% 27.09/18.38 tff(30475,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB69) | v198(constB69) | (~v191(constB69)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB69) | v198(constB69) | (~v191(constB69)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30476,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB69) | v198(constB69) | (~v191(constB69)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30477,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB69) | v198(constB69) | (~v191(constB69))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30476, 30475])).
% 27.09/18.38 tff(30478,plain,
% 27.09/18.38 (v198(constB69) | (~v191(constB69))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30477, 8171, 30474])).
% 27.09/18.38 tff(30479,plain,
% 27.09/18.38 (~v191(constB69)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30478, 30284])).
% 27.09/18.38 tff(30480,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB69, constB70)) | v191(constB69) | (~v193(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB69, constB70)) | v191(constB69) | (~v193(constB70)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30481,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB69, constB70)) | v191(constB69) | (~v193(constB70)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30482,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB69, constB70)) | v191(constB69) | (~v193(constB70))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 27.09/18.38 tff(30483,plain,
% 27.09/18.38 (v191(constB69) | (~v193(constB70))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30482, 8186, 9356])).
% 27.09/18.38 tff(30484,plain,
% 27.09/18.38 (~v193(constB70)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30483, 30479])).
% 27.09/18.38 tff(30485,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB70) | (~v194(constB70)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB70) | (~v194(constB70)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30486,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB70) | (~v194(constB70)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30487,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB70) | (~v194(constB70))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30486, 30485])).
% 27.09/18.38 tff(30488,plain,
% 27.09/18.38 (~v194(constB70)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30487, 8201, 30484])).
% 27.09/18.38 tff(30489,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB70)) | (~v197(constB70)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB70)) | (~v197(constB70)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30490,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB70)) | (~v197(constB70)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30491,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB70)) | (~v197(constB70))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30490, 30489])).
% 27.09/18.38 tff(30492,plain,
% 27.09/18.38 (~v197(constB70)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30491, 8215, 9379])).
% 27.09/18.38 tff(30493,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB70) | (~v200(constB70)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB70) | (~v200(constB70)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30494,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB70) | (~v200(constB70)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30495,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB70) | (~v200(constB70))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 27.09/18.38 tff(30496,plain,
% 27.09/18.38 (~v200(constB70)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30495, 8229, 30492])).
% 27.09/18.38 tff(30497,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB70) | (~v198(constB70)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB70) | (~v198(constB70)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30498,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB70) | (~v198(constB70)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30499,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB70) | (~v198(constB70))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 27.09/18.38 tff(30500,plain,
% 27.09/18.38 (~v198(constB70)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30499, 8157, 30496])).
% 27.09/18.38 tff(30501,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB70) | v198(constB70) | (~v191(constB70)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB70) | v198(constB70) | (~v191(constB70)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30502,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB70) | v198(constB70) | (~v191(constB70)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30503,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB70) | v198(constB70) | (~v191(constB70))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30502, 30501])).
% 27.09/18.38 tff(30504,plain,
% 27.09/18.38 (v194(constB70) | (~v191(constB70))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30503, 8171, 30500])).
% 27.09/18.38 tff(30505,plain,
% 27.09/18.38 (~v191(constB70)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30504, 30488])).
% 27.09/18.38 tff(30506,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB70, constB71)) | v191(constB70) | (~v193(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB70, constB71)) | v191(constB70) | (~v193(constB71)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30507,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB70, constB71)) | v191(constB70) | (~v193(constB71)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30508,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB70, constB71)) | v191(constB70) | (~v193(constB71))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 27.09/18.38 tff(30509,plain,
% 27.09/18.38 (v191(constB70) | (~v193(constB71))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30508, 8186, 9424])).
% 27.09/18.38 tff(30510,plain,
% 27.09/18.38 (~v193(constB71)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30509, 30505])).
% 27.09/18.38 tff(30511,plain,
% 27.09/18.38 ($false),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30510, 30172])).
% 27.09/18.38 tff(30512,plain,(~(constB71 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.38 tff(30513,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 27.09/18.38 tff(30514,plain,
% 27.09/18.38 (v193(constB119) <=> v193(sK0_VarCurr)),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30513])).
% 27.09/18.38 tff(30515,plain,
% 27.09/18.38 (v193(sK0_VarCurr) <=> v193(constB119)),
% 27.09/18.38 inference(symmetry,[status(thm)],[30514])).
% 27.09/18.38 tff(30516,plain,
% 27.09/18.38 (v193(constB119)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[8270, 30515])).
% 27.09/18.38 tff(30517,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB115, bitIndex2)) | v90(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB115, bitIndex2)) | v90(constB115, bitIndex2))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30518,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB115, bitIndex2)) | v90(constB115, bitIndex2))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30519,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB115, bitIndex2)) | v90(constB115, bitIndex2)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30518, 30517])).
% 27.09/18.38 tff(30520,plain,
% 27.09/18.38 (~v88(constB115, bitIndex2)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30519, 25366, 14369])).
% 27.09/18.38 tff(30521,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30522,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30523,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30522, 30521])).
% 27.09/18.38 tff(30524,plain,
% 27.09/18.38 (v88(constB115, bitIndex1)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30523, 8034, 14400])).
% 27.09/18.38 tff(30525,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30526,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30527,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 27.09/18.38 tff(30528,plain,
% 27.09/18.38 (v88(constB115, bitIndex0)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30527, 26352, 14431])).
% 27.09/18.38 tff(30529,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30530,plain,
% 27.09/18.38 ((v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115)) <=> ((~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30531,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115)))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30530])).
% 27.09/18.38 tff(30532,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30531, 30529])).
% 27.09/18.38 tff(30533,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30534,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB115, bitIndex0)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | v141(constB115)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 27.09/18.38 tff(30535,plain,
% 27.09/18.38 (v141(constB115)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30534, 26366, 30528, 30524, 30520])).
% 27.09/18.38 tff(30536,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB115)) | v168(constB115))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB115)) | v168(constB115))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30537,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB115)) | v168(constB115))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30538,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB115)) | v168(constB115)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 27.09/18.38 tff(30539,plain,
% 27.09/18.38 (v168(constB115)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30538, 26380, 30535])).
% 27.09/18.38 tff(30540,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB115)) | v167(constB115))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB115)) | v167(constB115))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30541,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB115)) | v167(constB115))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30542,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB115)) | v167(constB115)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 27.09/18.38 tff(30543,plain,
% 27.09/18.38 (v167(constB115)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30542, 23043, 30539])).
% 27.09/18.38 tff(30544,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB115)) | (~v170(constB115)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30545,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB115)) | (~v170(constB115)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30546,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB115)) | (~v170(constB115))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30545, 30544])).
% 27.09/18.38 tff(30547,plain,
% 27.09/18.38 (~v170(constB115)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30546, 8084, 30543])).
% 27.09/18.38 tff(30548,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB115) | (~v167(constB115)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB115) | (~v167(constB115)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30549,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB115) | (~v167(constB115)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30550,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB115) | (~v167(constB115))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30549, 30548])).
% 27.09/18.38 tff(30551,plain,
% 27.09/18.38 (v166(constB115)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30550, 8098, 30543])).
% 27.09/18.38 tff(30552,plain,
% 27.09/18.38 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB115)) | (~v166(constB115)) | v170(constB115))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30553,plain,
% 27.09/18.38 (((~v166(constB115)) | v170(constB115) | (~v163(constB115))) <=> ((~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30554,plain,
% 27.09/18.38 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB115)) | (~v166(constB115)) | v170(constB115)))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30553])).
% 27.09/18.38 tff(30555,plain,
% 27.09/18.38 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30554, 30552])).
% 27.09/18.38 tff(30556,plain,
% 27.09/18.38 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB115)) | v170(constB115) | (~v163(constB115)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30557,plain,
% 27.09/18.38 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB115)) | (~v166(constB115)) | v170(constB115)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30556, 30555])).
% 27.09/18.38 tff(30558,plain,
% 27.09/18.38 (~v163(constB115)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30557, 8112, 30551, 30547])).
% 27.09/18.38 tff(30559,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30560,plain,
% 27.09/18.38 (((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116))) <=> (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30561,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116))))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30560])).
% 27.09/18.38 tff(30562,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116)))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30561, 30559])).
% 27.09/18.38 tff(30563,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB115, constB116)) | v163(constB115) | (~v186(constB116)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30564,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB115) | (~nextState(constB115, constB116)) | (~v186(constB116))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 27.09/18.38 tff(30565,plain,
% 27.09/18.38 (v163(constB115) | (~v186(constB116))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30564, 19345, 14451])).
% 27.09/18.38 tff(30566,plain,
% 27.09/18.38 (~v186(constB116)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30565, 30558])).
% 27.09/18.38 tff(30567,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30568,plain,
% 27.09/18.38 (((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116)) <=> ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30569,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v181(constB116) | v104(constB116)))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30568])).
% 27.09/18.38 tff(30570,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30569, 30567])).
% 27.09/18.38 tff(30571,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | v181(constB116))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30572,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB115, constB116)) | v181(constB116) | v104(constB116)),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30571, 30570])).
% 27.09/18.38 tff(30573,plain,
% 27.09/18.38 (v181(constB116) | v104(constB116)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30572, 19367, 14451])).
% 27.09/18.38 tff(30574,plain,
% 27.09/18.38 (v181(constB116)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30573, 14479])).
% 27.09/18.38 tff(30575,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30576,plain,
% 27.09/18.38 (((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116))) <=> ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30577,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116))))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30576])).
% 27.09/18.38 tff(30578,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116)))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30577, 30575])).
% 27.09/18.38 tff(30579,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB115, constB116)) | (~v1(constB116)) | v180(constB116) | (~v181(constB116)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30580,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB115, constB116)) | v180(constB116) | (~v1(constB116)) | (~v181(constB116))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30579, 30578])).
% 27.09/18.38 tff(30581,plain,
% 27.09/18.38 (v180(constB116) | (~v181(constB116))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30580, 19385, 14451, 14490])).
% 27.09/18.38 tff(30582,plain,
% 27.09/18.38 (v180(constB116)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30581, 30574])).
% 27.09/18.38 tff(30583,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30584,plain,
% 27.09/18.38 (((~nextState(constB115, constB116)) | (~v180(constB116)) | v179(constB116)) <=> ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30585,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB115, constB116)) | (~v180(constB116)) | v179(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116))))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30584])).
% 27.09/18.38 tff(30586,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB115, constB116)) | (~v180(constB116)) | v179(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116)))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30585, 30583])).
% 27.09/18.38 tff(30587,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB115, constB116)) | (~v180(constB116)) | v179(constB116))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30588,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB115, constB116)) | v179(constB116) | (~v180(constB116))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30587, 30586])).
% 27.09/18.38 tff(30589,plain,
% 27.09/18.38 (v179(constB116) | (~v180(constB116))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30588, 19403, 14451])).
% 27.09/18.38 tff(30590,plain,
% 27.09/18.38 (v179(constB116)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30589, 30582])).
% 27.09/18.38 tff(30591,plain,
% 27.09/18.38 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB116) | (~v159(constB116)) | (~v179(constB116)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB116) | (~v159(constB116)) | (~v179(constB116)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30592,plain,
% 27.09/18.38 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB116) | (~v159(constB116)) | (~v179(constB116)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30593,plain,
% 27.09/18.38 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB116) | (~v159(constB116)) | (~v179(constB116))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 27.09/18.38 tff(30594,plain,
% 27.09/18.38 (v186(constB116) | (~v159(constB116))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30593, 19421, 30590])).
% 27.09/18.38 tff(30595,plain,
% 27.09/18.38 (~v159(constB116)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30594, 30566])).
% 27.09/18.38 tff(30596,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30597,plain,
% 27.09/18.38 (((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117))) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30598,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117))))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30597])).
% 27.09/18.38 tff(30599,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117)))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30598, 30596])).
% 27.09/18.38 tff(30600,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v1(constB117) | (~v180(constB117)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30601,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v180(constB117))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30600, 30599])).
% 27.09/18.38 tff(30602,plain,
% 27.09/18.38 (~v180(constB117)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30601, 19439, 14840, 14837])).
% 27.09/18.38 tff(30603,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30604,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30605,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB116, constB117)) | v180(constB117) | (~v179(constB117))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30604, 30603])).
% 27.09/18.38 tff(30606,plain,
% 27.09/18.38 (v180(constB117) | (~v179(constB117))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30605, 19456, 14840])).
% 27.09/18.38 tff(30607,plain,
% 27.09/18.38 (~v179(constB117)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30606, 30602])).
% 27.09/18.38 tff(30608,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30609,plain,
% 27.09/18.38 (((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117))) <=> (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30610,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117))))),
% 27.09/18.38 inference(monotonicity,[status(thm)],[30609])).
% 27.09/18.38 tff(30611,plain,
% 27.09/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117)))),
% 27.09/18.38 inference(transitivity,[status(thm)],[30610, 30608])).
% 27.09/18.38 tff(30612,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB116, constB117)) | v179(constB117) | v159(constB116) | (~v159(constB117)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30613,plain,
% 27.09/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB116) | (~nextState(constB116, constB117)) | v179(constB117) | (~v159(constB117))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30612, 30611])).
% 27.09/18.38 tff(30614,plain,
% 27.09/18.38 (v159(constB116) | v179(constB117) | (~v159(constB117))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30613, 19471, 14840])).
% 27.09/18.38 tff(30615,plain,
% 27.09/18.38 (v159(constB116) | (~v159(constB117))),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30614, 30607])).
% 27.09/18.38 tff(30616,plain,
% 27.09/18.38 (~v159(constB117)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30615, 30595])).
% 27.09/18.38 tff(30617,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB117) | (~v201(constB117)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB117) | (~v201(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30618,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB117) | (~v201(constB117)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30619,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB117) | (~v201(constB117))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30618, 30617])).
% 27.09/18.38 tff(30620,plain,
% 27.09/18.38 (~v201(constB117)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30619, 19490, 30616])).
% 27.09/18.38 tff(30621,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB117) | (~v200(constB117)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB117) | (~v200(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30622,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB117) | (~v200(constB117)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30623,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB117) | (~v200(constB117))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30622, 30621])).
% 27.09/18.38 tff(30624,plain,
% 27.09/18.38 (~v200(constB117)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30623, 8143, 30620])).
% 27.09/18.38 tff(30625,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB117) | (~v198(constB117)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB117) | (~v198(constB117)))),
% 27.09/18.38 inference(rewrite,[status(thm)],[])).
% 27.09/18.38 tff(30626,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB117) | (~v198(constB117)))),
% 27.09/18.38 inference(quant_inst,[status(thm)],[])).
% 27.09/18.38 tff(30627,plain,
% 27.09/18.38 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB117) | (~v198(constB117))),
% 27.09/18.38 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 27.09/18.38 tff(30628,plain,
% 27.09/18.38 (~v198(constB117)),
% 27.09/18.38 inference(unit_resolution,[status(thm)],[30627, 8157, 30624])).
% 27.09/18.38 tff(30629,plain,
% 27.09/18.38 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v197(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB117) | (~v9(constB117)) | v197(constB117))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30630,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v197(constB117))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30631,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB117) | (~v9(constB117)) | v197(constB117)),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30630, 30629])).
% 27.09/18.39 tff(30632,plain,
% 27.09/18.39 ((~v9(constB117)) | v197(constB117)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30631, 85, 14837])).
% 27.09/18.39 tff(30633,plain,
% 27.09/18.39 (v197(constB117)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30632, 14985])).
% 27.09/18.39 tff(30634,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB117)) | v196(constB117))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB117)) | v196(constB117))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30635,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB117)) | v196(constB117))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30636,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB117)) | v196(constB117)),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30635, 30634])).
% 27.09/18.39 tff(30637,plain,
% 27.09/18.39 (v196(constB117)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30636, 97, 30633])).
% 27.09/18.39 tff(30638,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB117)) | (~v196(constB117)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB117)) | (~v196(constB117)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30639,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB117)) | (~v196(constB117)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30640,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB117)) | (~v196(constB117))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30639, 30638])).
% 27.09/18.39 tff(30641,plain,
% 27.09/18.39 (~v194(constB117)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30640, 108, 30637])).
% 27.09/18.39 tff(30642,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB117) | v198(constB117) | (~v191(constB117)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB117) | v198(constB117) | (~v191(constB117)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30643,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB117) | v198(constB117) | (~v191(constB117)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30644,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB117) | v198(constB117) | (~v191(constB117))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 27.09/18.39 tff(30645,plain,
% 27.09/18.39 (v198(constB117) | (~v191(constB117))),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30644, 8171, 30641])).
% 27.09/18.39 tff(30646,plain,
% 27.09/18.39 (~v191(constB117)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30645, 30628])).
% 27.09/18.39 tff(30647,plain,
% 27.09/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30648,plain,
% 27.09/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30649,plain,
% 27.09/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB117, constB118)) | v191(constB117) | (~v193(constB118))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30648, 30647])).
% 27.09/18.39 tff(30650,plain,
% 27.09/18.39 (v191(constB117) | (~v193(constB118))),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30649, 8186, 14980])).
% 27.09/18.39 tff(30651,plain,
% 27.09/18.39 (~v193(constB118)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30650, 30646])).
% 27.09/18.39 tff(30652,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB118) | (~v194(constB118)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB118) | (~v194(constB118)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30653,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB118) | (~v194(constB118)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30654,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB118) | (~v194(constB118))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30653, 30652])).
% 27.09/18.39 tff(30655,plain,
% 27.09/18.39 (~v194(constB118)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30654, 8201, 30651])).
% 27.09/18.39 tff(30656,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB118)) | (~v197(constB118)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB118)) | (~v197(constB118)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30657,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB118)) | (~v197(constB118)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30658,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB118)) | (~v197(constB118))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30657, 30656])).
% 27.09/18.39 tff(30659,plain,
% 27.09/18.39 (~v197(constB118)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30658, 8215, 14964])).
% 27.09/18.39 tff(30660,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB118) | (~v200(constB118)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB118) | (~v200(constB118)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30661,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB118) | (~v200(constB118)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30662,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB118) | (~v200(constB118))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 27.09/18.39 tff(30663,plain,
% 27.09/18.39 (~v200(constB118)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30662, 8229, 30659])).
% 27.09/18.39 tff(30664,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB118) | (~v198(constB118)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB118) | (~v198(constB118)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30665,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB118) | (~v198(constB118)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30666,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB118) | (~v198(constB118))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30665, 30664])).
% 27.09/18.39 tff(30667,plain,
% 27.09/18.39 (~v198(constB118)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30666, 8157, 30663])).
% 27.09/18.39 tff(30668,plain,
% 27.09/18.39 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB118) | v198(constB118) | (~v191(constB118)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB118) | v198(constB118) | (~v191(constB118)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30669,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB118) | v198(constB118) | (~v191(constB118)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30670,plain,
% 27.09/18.39 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB118) | v198(constB118) | (~v191(constB118))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30669, 30668])).
% 27.09/18.39 tff(30671,plain,
% 27.09/18.39 (v194(constB118) | (~v191(constB118))),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30670, 8171, 30667])).
% 27.09/18.39 tff(30672,plain,
% 27.09/18.39 (~v191(constB118)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30671, 30655])).
% 27.09/18.39 tff(30673,plain,
% 27.09/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))),
% 27.09/18.39 inference(rewrite,[status(thm)],[])).
% 27.09/18.39 tff(30674,plain,
% 27.09/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119)))),
% 27.09/18.39 inference(quant_inst,[status(thm)],[])).
% 27.09/18.39 tff(30675,plain,
% 27.09/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB118, constB119)) | v191(constB118) | (~v193(constB119))),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[30674, 30673])).
% 27.09/18.39 tff(30676,plain,
% 27.09/18.39 (v191(constB118) | (~v193(constB119))),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30675, 8186, 15122])).
% 27.09/18.39 tff(30677,plain,
% 27.09/18.39 (~v193(constB119)),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30676, 30672])).
% 27.09/18.39 tff(30678,plain,
% 27.09/18.39 ($false),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[30677, 30516])).
% 27.09/18.39 tff(30679,plain,(~(constB119 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.39 tff(30680,assumption,(constB18 = sK0_VarCurr), introduced(assumption)).
% 27.09/18.39 tff(30681,plain,
% 27.09/18.39 (v1(constB18) <=> v1(sK0_VarCurr)),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30680])).
% 27.09/18.39 tff(30682,plain,
% 27.09/18.39 (v1(sK0_VarCurr) <=> v1(constB18)),
% 27.09/18.39 inference(symmetry,[status(thm)],[30681])).
% 27.09/18.39 tff(30683,plain,
% 27.09/18.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB18))),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30682])).
% 27.09/18.39 tff(30684,plain,
% 27.09/18.39 (~v1(constB18)),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[25165, 30683])).
% 27.09/18.39 tff(30685,plain,
% 27.09/18.39 ($false),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[2780, 30684])).
% 27.09/18.39 tff(30686,plain,(~(constB18 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.39 tff(30687,assumption,(constB192 = sK0_VarCurr), introduced(assumption)).
% 27.09/18.39 tff(30688,plain,
% 27.09/18.39 (v1(constB192) <=> v1(sK0_VarCurr)),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30687])).
% 27.09/18.39 tff(30689,plain,
% 27.09/18.39 (v1(sK0_VarCurr) <=> v1(constB192)),
% 27.09/18.39 inference(symmetry,[status(thm)],[30688])).
% 27.09/18.39 tff(30690,plain,
% 27.09/18.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB192))),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30689])).
% 27.09/18.39 tff(30691,plain,
% 27.09/18.39 (~v1(constB192)),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[25165, 30690])).
% 27.09/18.39 tff(30692,plain,
% 27.09/18.39 ($false),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[24752, 30691])).
% 27.09/18.39 tff(30693,plain,(~(constB192 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.39 tff(30694,assumption,(constB178 = sK0_VarCurr), introduced(assumption)).
% 27.09/18.39 tff(30695,plain,
% 27.09/18.39 (v1(constB178) <=> v1(sK0_VarCurr)),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30694])).
% 27.09/18.39 tff(30696,plain,
% 27.09/18.39 (v1(sK0_VarCurr) <=> v1(constB178)),
% 27.09/18.39 inference(symmetry,[status(thm)],[30695])).
% 27.09/18.39 tff(30697,plain,
% 27.09/18.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB178))),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30696])).
% 27.09/18.39 tff(30698,plain,
% 27.09/18.39 (~v1(constB178)),
% 27.09/18.39 inference(modus_ponens,[status(thm)],[25165, 30697])).
% 27.09/18.39 tff(30699,plain,
% 27.09/18.39 ($false),
% 27.09/18.39 inference(unit_resolution,[status(thm)],[22322, 30698])).
% 27.09/18.39 tff(30700,plain,(~(constB178 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.09/18.39 tff(30701,assumption,(constB94 = sK0_VarCurr), introduced(assumption)).
% 27.09/18.39 tff(30702,plain,
% 27.09/18.39 (v1(constB94) <=> v1(sK0_VarCurr)),
% 27.09/18.39 inference(monotonicity,[status(thm)],[30701])).
% 27.09/18.39 tff(30703,plain,
% 27.09/18.39 (v1(sK0_VarCurr) <=> v1(constB94)),
% 27.13/18.39 inference(symmetry,[status(thm)],[30702])).
% 27.13/18.39 tff(30704,plain,
% 27.13/18.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB94))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30703])).
% 27.13/18.39 tff(30705,plain,
% 27.13/18.39 (~v1(constB94)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[25165, 30704])).
% 27.13/18.39 tff(30706,plain,
% 27.13/18.39 ($false),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[11997, 30705])).
% 27.13/18.39 tff(30707,plain,(~(constB94 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.39 tff(30708,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 27.13/18.39 tff(30709,plain,
% 27.13/18.39 (v193(constB91) <=> v193(sK0_VarCurr)),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30708])).
% 27.13/18.39 tff(30710,plain,
% 27.13/18.39 (v193(sK0_VarCurr) <=> v193(constB91)),
% 27.13/18.39 inference(symmetry,[status(thm)],[30709])).
% 27.13/18.39 tff(30711,plain,
% 27.13/18.39 (v193(constB91)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[8270, 30710])).
% 27.13/18.39 tff(30712,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB87, bitIndex2)) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB87, bitIndex2)) | v90(constB87, bitIndex2))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30713,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB87, bitIndex2)) | v90(constB87, bitIndex2))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30714,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB87, bitIndex2)) | v90(constB87, bitIndex2)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 27.13/18.39 tff(30715,plain,
% 27.13/18.39 (~v88(constB87, bitIndex2)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30714, 25366, 11147])).
% 27.13/18.39 tff(30716,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB87, bitIndex1)) | v90(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB87, bitIndex1)) | v90(constB87, bitIndex1))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30717,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB87, bitIndex1)) | v90(constB87, bitIndex1))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30718,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB87, bitIndex1)) | v90(constB87, bitIndex1)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30717, 30716])).
% 27.13/18.39 tff(30719,plain,
% 27.13/18.39 (~v88(constB87, bitIndex1)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30718, 25377, 11181])).
% 27.13/18.39 tff(30720,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30721,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30722,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30721, 30720])).
% 27.13/18.39 tff(30723,plain,
% 27.13/18.39 (v88(constB87, bitIndex0)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30722, 26352, 11212])).
% 27.13/18.39 tff(30724,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30725,plain,
% 27.13/18.39 ((v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87)) <=> ((~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30726,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87)))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30725])).
% 27.13/18.39 tff(30727,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30726, 30724])).
% 27.13/18.39 tff(30728,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30729,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 27.13/18.39 tff(30730,plain,
% 27.13/18.39 (v140(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30729, 26773, 30723, 30719, 30715])).
% 27.13/18.39 tff(30731,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB87)) | v169(constB87))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB87)) | v169(constB87))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30732,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB87)) | v169(constB87))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30733,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB87)) | v169(constB87)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30732, 30731])).
% 27.13/18.39 tff(30734,plain,
% 27.13/18.39 (v169(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30733, 26787, 30730])).
% 27.13/18.39 tff(30735,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB87) | (~v169(constB87)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB87) | (~v169(constB87)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30736,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB87) | (~v169(constB87)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30737,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB87) | (~v169(constB87))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 27.13/18.39 tff(30738,plain,
% 27.13/18.39 (v168(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30737, 23060, 30734])).
% 27.13/18.39 tff(30739,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB87)) | v167(constB87))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB87)) | v167(constB87))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30740,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB87)) | v167(constB87))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30741,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB87)) | v167(constB87)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30740, 30739])).
% 27.13/18.39 tff(30742,plain,
% 27.13/18.39 (v167(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30741, 23043, 30738])).
% 27.13/18.39 tff(30743,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB87)) | (~v170(constB87)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB87)) | (~v170(constB87)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30744,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB87)) | (~v170(constB87)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30745,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB87)) | (~v170(constB87))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30744, 30743])).
% 27.13/18.39 tff(30746,plain,
% 27.13/18.39 (~v170(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30745, 8084, 30742])).
% 27.13/18.39 tff(30747,plain,
% 27.13/18.39 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB87) | (~v167(constB87)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB87) | (~v167(constB87)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30748,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB87) | (~v167(constB87)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30749,plain,
% 27.13/18.39 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB87) | (~v167(constB87))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 27.13/18.39 tff(30750,plain,
% 27.13/18.39 (v166(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30749, 8098, 30742])).
% 27.13/18.39 tff(30751,plain,
% 27.13/18.39 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB87)) | (~v166(constB87)) | v170(constB87))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB87)) | (~v166(constB87)) | v170(constB87))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30752,plain,
% 27.13/18.39 (((~v166(constB87)) | v170(constB87) | (~v163(constB87))) <=> ((~v163(constB87)) | (~v166(constB87)) | v170(constB87))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30753,plain,
% 27.13/18.39 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB87)) | v170(constB87) | (~v163(constB87)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB87)) | (~v166(constB87)) | v170(constB87)))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30752])).
% 27.13/18.39 tff(30754,plain,
% 27.13/18.39 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB87)) | v170(constB87) | (~v163(constB87)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB87)) | (~v166(constB87)) | v170(constB87))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30753, 30751])).
% 27.13/18.39 tff(30755,plain,
% 27.13/18.39 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB87)) | v170(constB87) | (~v163(constB87)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30756,plain,
% 27.13/18.39 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB87)) | (~v166(constB87)) | v170(constB87)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30755, 30754])).
% 27.13/18.39 tff(30757,plain,
% 27.13/18.39 (~v163(constB87)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30756, 8112, 30750, 30746])).
% 27.13/18.39 tff(30758,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB87) | (~nextState(constB87, constB88)) | (~v186(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB87) | (~nextState(constB87, constB88)) | (~v186(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30759,plain,
% 27.13/18.39 (((~nextState(constB87, constB88)) | v163(constB87) | (~v186(constB88))) <=> (v163(constB87) | (~nextState(constB87, constB88)) | (~v186(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30760,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB87, constB88)) | v163(constB87) | (~v186(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB87) | (~nextState(constB87, constB88)) | (~v186(constB88))))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30759])).
% 27.13/18.39 tff(30761,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB87, constB88)) | v163(constB87) | (~v186(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB87) | (~nextState(constB87, constB88)) | (~v186(constB88)))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30760, 30758])).
% 27.13/18.39 tff(30762,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB87, constB88)) | v163(constB87) | (~v186(constB88)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30763,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB87) | (~nextState(constB87, constB88)) | (~v186(constB88))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30762, 30761])).
% 27.13/18.39 tff(30764,plain,
% 27.13/18.39 (v163(constB87) | (~v186(constB88))),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30763, 19345, 11281])).
% 27.13/18.39 tff(30765,plain,
% 27.13/18.39 (~v186(constB88)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30764, 30757])).
% 27.13/18.39 tff(30766,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB87, constB88)) | v181(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB87, constB88)) | v181(constB88) | v104(constB88))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30767,plain,
% 27.13/18.39 (((~nextState(constB87, constB88)) | v104(constB88) | v181(constB88)) <=> ((~nextState(constB87, constB88)) | v181(constB88) | v104(constB88))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30768,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v181(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB87, constB88)) | v181(constB88) | v104(constB88)))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30767])).
% 27.13/18.39 tff(30769,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v181(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB87, constB88)) | v181(constB88) | v104(constB88))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30768, 30766])).
% 27.13/18.39 tff(30770,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | v181(constB88))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30771,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB87, constB88)) | v181(constB88) | v104(constB88)),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30770, 30769])).
% 27.13/18.39 tff(30772,plain,
% 27.13/18.39 (v181(constB88) | v104(constB88)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30771, 19367, 11281])).
% 27.13/18.39 tff(30773,plain,
% 27.13/18.39 (v181(constB88)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30772, 11293])).
% 27.13/18.39 tff(30774,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB87, constB88)) | v180(constB88) | (~v1(constB88)) | (~v181(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB87, constB88)) | v180(constB88) | (~v1(constB88)) | (~v181(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30775,plain,
% 27.13/18.39 (((~nextState(constB87, constB88)) | (~v1(constB88)) | v180(constB88) | (~v181(constB88))) <=> ((~nextState(constB87, constB88)) | v180(constB88) | (~v1(constB88)) | (~v181(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30776,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v180(constB88) | (~v181(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB87, constB88)) | v180(constB88) | (~v1(constB88)) | (~v181(constB88))))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30775])).
% 27.13/18.39 tff(30777,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v180(constB88) | (~v181(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB87, constB88)) | v180(constB88) | (~v1(constB88)) | (~v181(constB88)))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30776, 30774])).
% 27.13/18.39 tff(30778,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB87, constB88)) | (~v1(constB88)) | v180(constB88) | (~v181(constB88)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30779,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB87, constB88)) | v180(constB88) | (~v1(constB88)) | (~v181(constB88))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30778, 30777])).
% 27.13/18.39 tff(30780,plain,
% 27.13/18.39 (v180(constB88) | (~v181(constB88))),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30779, 19385, 11281, 11304])).
% 27.13/18.39 tff(30781,plain,
% 27.13/18.39 (v180(constB88)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30780, 30773])).
% 27.13/18.39 tff(30782,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB87, constB88)) | v179(constB88) | (~v180(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB87, constB88)) | v179(constB88) | (~v180(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30783,plain,
% 27.13/18.39 (((~nextState(constB87, constB88)) | (~v180(constB88)) | v179(constB88)) <=> ((~nextState(constB87, constB88)) | v179(constB88) | (~v180(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30784,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB87, constB88)) | (~v180(constB88)) | v179(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB87, constB88)) | v179(constB88) | (~v180(constB88))))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30783])).
% 27.13/18.39 tff(30785,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB87, constB88)) | (~v180(constB88)) | v179(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB87, constB88)) | v179(constB88) | (~v180(constB88)))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30784, 30782])).
% 27.13/18.39 tff(30786,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB87, constB88)) | (~v180(constB88)) | v179(constB88))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30787,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB87, constB88)) | v179(constB88) | (~v180(constB88))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30786, 30785])).
% 27.13/18.39 tff(30788,plain,
% 27.13/18.39 (v179(constB88) | (~v180(constB88))),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30787, 19403, 11281])).
% 27.13/18.39 tff(30789,plain,
% 27.13/18.39 (v179(constB88)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30788, 30781])).
% 27.13/18.39 tff(30790,plain,
% 27.13/18.39 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB88) | (~v159(constB88)) | (~v179(constB88)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB88) | (~v159(constB88)) | (~v179(constB88)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30791,plain,
% 27.13/18.39 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB88) | (~v159(constB88)) | (~v179(constB88)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30792,plain,
% 27.13/18.39 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB88) | (~v159(constB88)) | (~v179(constB88))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30791, 30790])).
% 27.13/18.39 tff(30793,plain,
% 27.13/18.39 (v186(constB88) | (~v159(constB88))),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30792, 19421, 30789])).
% 27.13/18.39 tff(30794,plain,
% 27.13/18.39 (~v159(constB88)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30793, 30765])).
% 27.13/18.39 tff(30795,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v180(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v180(constB89)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30796,plain,
% 27.13/18.39 (((~nextState(constB88, constB89)) | v1(constB89) | (~v180(constB89))) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v180(constB89)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30797,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB88, constB89)) | v1(constB89) | (~v180(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v180(constB89))))),
% 27.13/18.39 inference(monotonicity,[status(thm)],[30796])).
% 27.13/18.39 tff(30798,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB88, constB89)) | v1(constB89) | (~v180(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v180(constB89)))),
% 27.13/18.39 inference(transitivity,[status(thm)],[30797, 30795])).
% 27.13/18.39 tff(30799,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB88, constB89)) | v1(constB89) | (~v180(constB89)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30800,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v180(constB89))),
% 27.13/18.39 inference(modus_ponens,[status(thm)],[30799, 30798])).
% 27.13/18.39 tff(30801,plain,
% 27.13/18.39 (~v180(constB89)),
% 27.13/18.39 inference(unit_resolution,[status(thm)],[30800, 19439, 11375, 11372])).
% 27.13/18.39 tff(30802,plain,
% 27.13/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB88, constB89)) | v180(constB89) | (~v179(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB88, constB89)) | v180(constB89) | (~v179(constB89)))),
% 27.13/18.39 inference(rewrite,[status(thm)],[])).
% 27.13/18.39 tff(30803,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB88, constB89)) | v180(constB89) | (~v179(constB89)))),
% 27.13/18.39 inference(quant_inst,[status(thm)],[])).
% 27.13/18.39 tff(30804,plain,
% 27.13/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB88, constB89)) | v180(constB89) | (~v179(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30803, 30802])).
% 27.13/18.40 tff(30805,plain,
% 27.13/18.40 (v180(constB89) | (~v179(constB89))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30804, 19456, 11375])).
% 27.13/18.40 tff(30806,plain,
% 27.13/18.40 (~v179(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30805, 30801])).
% 27.13/18.40 tff(30807,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB88) | (~nextState(constB88, constB89)) | v179(constB89) | (~v159(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB88) | (~nextState(constB88, constB89)) | v179(constB89) | (~v159(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30808,plain,
% 27.13/18.40 (((~nextState(constB88, constB89)) | v179(constB89) | v159(constB88) | (~v159(constB89))) <=> (v159(constB88) | (~nextState(constB88, constB89)) | v179(constB89) | (~v159(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30809,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB88, constB89)) | v179(constB89) | v159(constB88) | (~v159(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB88) | (~nextState(constB88, constB89)) | v179(constB89) | (~v159(constB89))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30808])).
% 27.13/18.40 tff(30810,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB88, constB89)) | v179(constB89) | v159(constB88) | (~v159(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB88) | (~nextState(constB88, constB89)) | v179(constB89) | (~v159(constB89)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30809, 30807])).
% 27.13/18.40 tff(30811,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB88, constB89)) | v179(constB89) | v159(constB88) | (~v159(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30812,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB88) | (~nextState(constB88, constB89)) | v179(constB89) | (~v159(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30811, 30810])).
% 27.13/18.40 tff(30813,plain,
% 27.13/18.40 (v159(constB88) | v179(constB89) | (~v159(constB89))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30812, 19471, 11375])).
% 27.13/18.40 tff(30814,plain,
% 27.13/18.40 (v159(constB88) | (~v159(constB89))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30813, 30806])).
% 27.13/18.40 tff(30815,plain,
% 27.13/18.40 (~v159(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30814, 30794])).
% 27.13/18.40 tff(30816,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB89) | (~v201(constB89)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB89) | (~v201(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30817,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB89) | (~v201(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30818,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB89) | (~v201(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30817, 30816])).
% 27.13/18.40 tff(30819,plain,
% 27.13/18.40 (~v201(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30818, 19490, 30815])).
% 27.13/18.40 tff(30820,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB89) | (~v200(constB89)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB89) | (~v200(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30821,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB89) | (~v200(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30822,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB89) | (~v200(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30821, 30820])).
% 27.13/18.40 tff(30823,plain,
% 27.13/18.40 (~v200(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30822, 8143, 30819])).
% 27.13/18.40 tff(30824,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB89) | (~v198(constB89)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB89) | (~v198(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30825,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB89) | (~v198(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30826,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB89) | (~v198(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30825, 30824])).
% 27.13/18.40 tff(30827,plain,
% 27.13/18.40 (~v198(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30826, 8157, 30823])).
% 27.13/18.40 tff(30828,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30829,plain,
% 27.13/18.40 (((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86))) <=> (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30830,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30829])).
% 27.13/18.40 tff(30831,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30830, 30828])).
% 27.13/18.40 tff(30832,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB85, constB86)) | v163(constB85) | (~v186(constB86)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30833,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB85) | (~nextState(constB85, constB86)) | (~v186(constB86))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 27.13/18.40 tff(30834,plain,
% 27.13/18.40 (v163(constB85) | (~v186(constB86))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30833, 19345, 11034])).
% 27.13/18.40 tff(30835,plain,
% 27.13/18.40 (~v186(constB86)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30834, 26065])).
% 27.13/18.40 tff(30836,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30837,plain,
% 27.13/18.40 (((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86)) <=> ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30838,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v181(constB86) | v104(constB86)))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30837])).
% 27.13/18.40 tff(30839,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30838, 30836])).
% 27.13/18.40 tff(30840,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | v181(constB86))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30841,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB85, constB86)) | v181(constB86) | v104(constB86)),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30840, 30839])).
% 27.13/18.40 tff(30842,plain,
% 27.13/18.40 (v181(constB86) | v104(constB86)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30841, 19367, 11034])).
% 27.13/18.40 tff(30843,plain,
% 27.13/18.40 (v181(constB86)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30842, 11046])).
% 27.13/18.40 tff(30844,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30845,plain,
% 27.13/18.40 (((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86))) <=> ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30846,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30845])).
% 27.13/18.40 tff(30847,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30846, 30844])).
% 27.13/18.40 tff(30848,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB85, constB86)) | (~v1(constB86)) | v180(constB86) | (~v181(constB86)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30849,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB85, constB86)) | v180(constB86) | (~v1(constB86)) | (~v181(constB86))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30848, 30847])).
% 27.13/18.40 tff(30850,plain,
% 27.13/18.40 (v180(constB86) | (~v181(constB86))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30849, 19385, 11034, 11057])).
% 27.13/18.40 tff(30851,plain,
% 27.13/18.40 (v180(constB86)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30850, 30843])).
% 27.13/18.40 tff(30852,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30853,plain,
% 27.13/18.40 (((~nextState(constB85, constB86)) | (~v180(constB86)) | v179(constB86)) <=> ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30854,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB85, constB86)) | (~v180(constB86)) | v179(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30853])).
% 27.13/18.40 tff(30855,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB85, constB86)) | (~v180(constB86)) | v179(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30854, 30852])).
% 27.13/18.40 tff(30856,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB85, constB86)) | (~v180(constB86)) | v179(constB86))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30857,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB85, constB86)) | v179(constB86) | (~v180(constB86))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 27.13/18.40 tff(30858,plain,
% 27.13/18.40 (v179(constB86) | (~v180(constB86))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30857, 19403, 11034])).
% 27.13/18.40 tff(30859,plain,
% 27.13/18.40 (v179(constB86)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30858, 30851])).
% 27.13/18.40 tff(30860,plain,
% 27.13/18.40 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB86) | (~v159(constB86)) | (~v179(constB86)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB86) | (~v159(constB86)) | (~v179(constB86)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30861,plain,
% 27.13/18.40 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB86) | (~v159(constB86)) | (~v179(constB86)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30862,plain,
% 27.13/18.40 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB86) | (~v159(constB86)) | (~v179(constB86))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 27.13/18.40 tff(30863,plain,
% 27.13/18.40 (v186(constB86) | (~v159(constB86))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30862, 19421, 30859])).
% 27.13/18.40 tff(30864,plain,
% 27.13/18.40 (~v159(constB86)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30863, 30835])).
% 27.13/18.40 tff(30865,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30866,plain,
% 27.13/18.40 (((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87))) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30867,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30866])).
% 27.13/18.40 tff(30868,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30867, 30865])).
% 27.13/18.40 tff(30869,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v1(constB87) | (~v180(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30870,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v180(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30869, 30868])).
% 27.13/18.40 tff(30871,plain,
% 27.13/18.40 (~v180(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30870, 19439, 11126, 11123])).
% 27.13/18.40 tff(30872,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30873,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30874,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB86, constB87)) | v180(constB87) | (~v179(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30873, 30872])).
% 27.13/18.40 tff(30875,plain,
% 27.13/18.40 (v180(constB87) | (~v179(constB87))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30874, 19456, 11126])).
% 27.13/18.40 tff(30876,plain,
% 27.13/18.40 (~v179(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30875, 30871])).
% 27.13/18.40 tff(30877,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30878,plain,
% 27.13/18.40 (((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87))) <=> (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30879,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30878])).
% 27.13/18.40 tff(30880,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30879, 30877])).
% 27.13/18.40 tff(30881,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB86, constB87)) | v179(constB87) | v159(constB86) | (~v159(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30882,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB86) | (~nextState(constB86, constB87)) | v179(constB87) | (~v159(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30881, 30880])).
% 27.13/18.40 tff(30883,plain,
% 27.13/18.40 (v159(constB86) | v179(constB87) | (~v159(constB87))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30882, 19471, 11126])).
% 27.13/18.40 tff(30884,plain,
% 27.13/18.40 (v159(constB86) | (~v159(constB87))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30883, 30876])).
% 27.13/18.40 tff(30885,plain,
% 27.13/18.40 (~v159(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30884, 30864])).
% 27.13/18.40 tff(30886,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB87) | (~v201(constB87)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB87) | (~v201(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30887,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB87) | (~v201(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30888,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB87) | (~v201(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30887, 30886])).
% 27.13/18.40 tff(30889,plain,
% 27.13/18.40 (~v201(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30888, 19490, 30885])).
% 27.13/18.40 tff(30890,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | (~v200(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30891,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB87) | (~v200(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30892,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB87) | (~v200(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 27.13/18.40 tff(30893,plain,
% 27.13/18.40 (~v200(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30892, 8143, 30889])).
% 27.13/18.40 tff(30894,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB87) | (~v198(constB87)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB87) | (~v198(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30895,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB87) | (~v198(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30896,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB87) | (~v198(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 27.13/18.40 tff(30897,plain,
% 27.13/18.40 (~v198(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30896, 8157, 30893])).
% 27.13/18.40 tff(30898,assumption,(v18(constB88)), introduced(assumption)).
% 27.13/18.40 tff(30899,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB88))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30900,plain,
% 27.13/18.40 ($false),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30899, 8, 30898])).
% 27.13/18.40 tff(30901,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.40 tff(30902,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30903,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30904,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30903, 30902])).
% 27.13/18.40 tff(30905,plain,
% 27.13/18.40 (v22(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30904, 24, 11304])).
% 27.13/18.40 tff(30906,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB88) | (~v22(constB88)) | (~v19(constB88)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB88) | (~v22(constB88)) | (~v19(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30907,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB88) | (~v22(constB88)) | (~v19(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30908,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB88) | (~v22(constB88)) | (~v19(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30907, 30906])).
% 27.13/18.40 tff(30909,plain,
% 27.13/18.40 (v18(constB88) | (~v19(constB88))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30908, 38, 30905])).
% 27.13/18.40 tff(30910,plain,
% 27.13/18.40 (~v19(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30909, 30901])).
% 27.13/18.40 tff(30911,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30912,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30913,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30912, 30911])).
% 27.13/18.40 tff(30914,plain,
% 27.13/18.40 (v13(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30913, 50, 30910])).
% 27.13/18.40 tff(30915,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30916,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30917,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 27.13/18.40 tff(30918,plain,
% 27.13/18.40 (v9(constB87) | (~v13(constB88))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30917, 67, 11281])).
% 27.13/18.40 tff(30919,plain,
% 27.13/18.40 (v9(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30918, 30914])).
% 27.13/18.40 tff(30920,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v197(constB87))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB87) | (~v9(constB87)) | v197(constB87))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30921,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v197(constB87))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30922,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB87) | (~v9(constB87)) | v197(constB87)),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30921, 30920])).
% 27.13/18.40 tff(30923,plain,
% 27.13/18.40 ((~v9(constB87)) | v197(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30922, 85, 11123])).
% 27.13/18.40 tff(30924,plain,
% 27.13/18.40 (v197(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30923, 30919])).
% 27.13/18.40 tff(30925,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB87) | (~v197(constB87)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB87) | (~v197(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30926,plain,
% 27.13/18.40 (((~v197(constB87)) | v196(constB87)) <=> (v196(constB87) | (~v197(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30927,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB87)) | v196(constB87))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB87) | (~v197(constB87))))),
% 27.13/18.40 inference(monotonicity,[status(thm)],[30926])).
% 27.13/18.40 tff(30928,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB87)) | v196(constB87))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB87) | (~v197(constB87)))),
% 27.13/18.40 inference(transitivity,[status(thm)],[30927, 30925])).
% 27.13/18.40 tff(30929,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB87)) | v196(constB87))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30930,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB87) | (~v197(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30929, 30928])).
% 27.13/18.40 tff(30931,plain,
% 27.13/18.40 (v196(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30930, 97, 30924])).
% 27.13/18.40 tff(30932,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB87)) | (~v196(constB87)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB87)) | (~v196(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30933,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB87)) | (~v196(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30934,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB87)) | (~v196(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30933, 30932])).
% 27.13/18.40 tff(30935,plain,
% 27.13/18.40 (~v194(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30934, 108, 30931])).
% 27.13/18.40 tff(30936,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB87) | v198(constB87) | (~v191(constB87)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB87) | v198(constB87) | (~v191(constB87)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30937,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB87) | v198(constB87) | (~v191(constB87)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30938,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB87) | v198(constB87) | (~v191(constB87))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30937, 30936])).
% 27.13/18.40 tff(30939,plain,
% 27.13/18.40 (v198(constB87) | (~v191(constB87))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30938, 8171, 30935])).
% 27.13/18.40 tff(30940,plain,
% 27.13/18.40 (~v191(constB87)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30939, 30897])).
% 27.13/18.40 tff(30941,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30942,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30943,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB87, constB88)) | v191(constB87) | (~v193(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30942, 30941])).
% 27.13/18.40 tff(30944,plain,
% 27.13/18.40 (v191(constB87) | (~v193(constB88))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30943, 8186, 11281])).
% 27.13/18.40 tff(30945,plain,
% 27.13/18.40 (~v193(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30944, 30940])).
% 27.13/18.40 tff(30946,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB88) | (~v194(constB88)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB88) | (~v194(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30947,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB88) | (~v194(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30948,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB88) | (~v194(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 27.13/18.40 tff(30949,plain,
% 27.13/18.40 (~v194(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30948, 8201, 30945])).
% 27.13/18.40 tff(30950,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB88)) | (~v197(constB88)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB88)) | (~v197(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30951,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB88)) | (~v197(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30952,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB88)) | (~v197(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30951, 30950])).
% 27.13/18.40 tff(30953,plain,
% 27.13/18.40 (~v197(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30952, 8215, 11304])).
% 27.13/18.40 tff(30954,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB88) | (~v200(constB88)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB88) | (~v200(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30955,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB88) | (~v200(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30956,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB88) | (~v200(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30955, 30954])).
% 27.13/18.40 tff(30957,plain,
% 27.13/18.40 (~v200(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30956, 8229, 30953])).
% 27.13/18.40 tff(30958,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB88) | (~v198(constB88)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB88) | (~v198(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30959,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB88) | (~v198(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30960,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB88) | (~v198(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 27.13/18.40 tff(30961,plain,
% 27.13/18.40 (~v198(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30960, 8157, 30957])).
% 27.13/18.40 tff(30962,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB88) | v198(constB88) | (~v191(constB88)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB88) | v198(constB88) | (~v191(constB88)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30963,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB88) | v198(constB88) | (~v191(constB88)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30964,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB88) | v198(constB88) | (~v191(constB88))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 27.13/18.40 tff(30965,plain,
% 27.13/18.40 (v194(constB88) | (~v191(constB88))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30964, 8171, 30961])).
% 27.13/18.40 tff(30966,plain,
% 27.13/18.40 (~v191(constB88)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30965, 30949])).
% 27.13/18.40 tff(30967,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30968,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30969,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB88, constB89)) | v191(constB88) | (~v193(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 27.13/18.40 tff(30970,plain,
% 27.13/18.40 (v191(constB88) | (~v193(constB89))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30969, 8186, 11375])).
% 27.13/18.40 tff(30971,plain,
% 27.13/18.40 (~v193(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30970, 30966])).
% 27.13/18.40 tff(30972,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB89) | (~v194(constB89)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB89) | (~v194(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30973,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB89) | (~v194(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30974,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB89) | (~v194(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 27.13/18.40 tff(30975,plain,
% 27.13/18.40 (~v194(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30974, 8201, 30971])).
% 27.13/18.40 tff(30976,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB89) | v198(constB89) | (~v191(constB89)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB89) | v198(constB89) | (~v191(constB89)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30977,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB89) | v198(constB89) | (~v191(constB89)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30978,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB89) | v198(constB89) | (~v191(constB89))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30977, 30976])).
% 27.13/18.40 tff(30979,plain,
% 27.13/18.40 (v198(constB89) | (~v191(constB89))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30978, 8171, 30975])).
% 27.13/18.40 tff(30980,plain,
% 27.13/18.40 (~v191(constB89)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30979, 30827])).
% 27.13/18.40 tff(30981,plain,
% 27.13/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB89, constB90)) | v191(constB89) | (~v193(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB89, constB90)) | v191(constB89) | (~v193(constB90)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30982,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB89, constB90)) | v191(constB89) | (~v193(constB90)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30983,plain,
% 27.13/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB89, constB90)) | v191(constB89) | (~v193(constB90))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30982, 30981])).
% 27.13/18.40 tff(30984,plain,
% 27.13/18.40 (v191(constB89) | (~v193(constB90))),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30983, 8186, 11567])).
% 27.13/18.40 tff(30985,plain,
% 27.13/18.40 (~v193(constB90)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30984, 30980])).
% 27.13/18.40 tff(30986,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB90) | (~v194(constB90)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB90) | (~v194(constB90)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30987,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB90) | (~v194(constB90)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30988,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB90) | (~v194(constB90))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 27.13/18.40 tff(30989,plain,
% 27.13/18.40 (~v194(constB90)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30988, 8201, 30985])).
% 27.13/18.40 tff(30990,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB90)) | (~v197(constB90)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB90)) | (~v197(constB90)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30991,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB90)) | (~v197(constB90)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30992,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB90)) | (~v197(constB90))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 27.13/18.40 tff(30993,plain,
% 27.13/18.40 (~v197(constB90)),
% 27.13/18.40 inference(unit_resolution,[status(thm)],[30992, 8215, 11590])).
% 27.13/18.40 tff(30994,plain,
% 27.13/18.40 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB90) | (~v200(constB90)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB90) | (~v200(constB90)))),
% 27.13/18.40 inference(rewrite,[status(thm)],[])).
% 27.13/18.40 tff(30995,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB90) | (~v200(constB90)))),
% 27.13/18.40 inference(quant_inst,[status(thm)],[])).
% 27.13/18.40 tff(30996,plain,
% 27.13/18.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB90) | (~v200(constB90))),
% 27.13/18.40 inference(modus_ponens,[status(thm)],[30995, 30994])).
% 27.13/18.41 tff(30997,plain,
% 27.13/18.41 (~v200(constB90)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[30996, 8229, 30993])).
% 27.13/18.41 tff(30998,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB90) | (~v198(constB90)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB90) | (~v198(constB90)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(30999,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB90) | (~v198(constB90)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31000,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB90) | (~v198(constB90))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 27.13/18.41 tff(31001,plain,
% 27.13/18.41 (~v198(constB90)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31000, 8157, 30997])).
% 27.13/18.41 tff(31002,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB90) | v198(constB90) | (~v191(constB90)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB90) | v198(constB90) | (~v191(constB90)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31003,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB90) | v198(constB90) | (~v191(constB90)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31004,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB90) | v198(constB90) | (~v191(constB90))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 27.13/18.41 tff(31005,plain,
% 27.13/18.41 (v194(constB90) | (~v191(constB90))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31004, 8171, 31001])).
% 27.13/18.41 tff(31006,plain,
% 27.13/18.41 (~v191(constB90)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31005, 30989])).
% 27.13/18.41 tff(31007,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB90, constB91)) | v191(constB90) | (~v193(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB90, constB91)) | v191(constB90) | (~v193(constB91)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31008,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB90, constB91)) | v191(constB90) | (~v193(constB91)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31009,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB90, constB91)) | v191(constB90) | (~v193(constB91))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31008, 31007])).
% 27.13/18.41 tff(31010,plain,
% 27.13/18.41 (v191(constB90) | (~v193(constB91))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31009, 8186, 11639])).
% 27.13/18.41 tff(31011,plain,
% 27.13/18.41 (~v193(constB91)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31010, 31006])).
% 27.13/18.41 tff(31012,plain,
% 27.13/18.41 ($false),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31011, 30711])).
% 27.13/18.41 tff(31013,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.41 tff(31014,assumption,(constB116 = sK0_VarCurr), introduced(assumption)).
% 27.13/18.41 tff(31015,plain,
% 27.13/18.41 (v1(constB116) <=> v1(sK0_VarCurr)),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31014])).
% 27.13/18.41 tff(31016,plain,
% 27.13/18.41 (v1(sK0_VarCurr) <=> v1(constB116)),
% 27.13/18.41 inference(symmetry,[status(thm)],[31015])).
% 27.13/18.41 tff(31017,plain,
% 27.13/18.41 ((~v1(sK0_VarCurr)) <=> (~v1(constB116))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31016])).
% 27.13/18.41 tff(31018,plain,
% 27.13/18.41 (~v1(constB116)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[25165, 31017])).
% 27.13/18.41 tff(31019,plain,
% 27.13/18.41 ($false),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[14490, 31018])).
% 27.13/18.41 tff(31020,plain,(~(constB116 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.41 tff(31021,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 27.13/18.41 tff(31022,plain,
% 27.13/18.41 (v193(constB47) <=> v193(sK0_VarCurr)),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31021])).
% 27.13/18.41 tff(31023,plain,
% 27.13/18.41 (v193(sK0_VarCurr) <=> v193(constB47)),
% 27.13/18.41 inference(symmetry,[status(thm)],[31022])).
% 27.13/18.41 tff(31024,plain,
% 27.13/18.41 (v193(constB47)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[8270, 31023])).
% 27.13/18.41 tff(31025,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31026,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31027,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB43, bitIndex0)) | v88(constB43, bitIndex0)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 27.13/18.41 tff(31028,plain,
% 27.13/18.41 (v88(constB43, bitIndex0)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31027, 26352, 5866])).
% 27.13/18.41 tff(31029,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB43, bitIndex2)) | v90(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB43, bitIndex2)) | v90(constB43, bitIndex2))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31030,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB43, bitIndex2)) | v90(constB43, bitIndex2))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31031,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB43, bitIndex2)) | v90(constB43, bitIndex2)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31030, 31029])).
% 27.13/18.41 tff(31032,plain,
% 27.13/18.41 (~v88(constB43, bitIndex2)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31031, 25366, 5968])).
% 27.13/18.41 tff(31033,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31034,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31035,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB43, bitIndex1)) | v88(constB43, bitIndex1)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31034, 31033])).
% 27.13/18.41 tff(31036,plain,
% 27.13/18.41 (v88(constB43, bitIndex1)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31035, 8034, 6040])).
% 27.13/18.41 tff(31037,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31038,plain,
% 27.13/18.41 ((v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43)) <=> ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31039,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43)))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31038])).
% 27.13/18.41 tff(31040,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31039, 31037])).
% 27.13/18.41 tff(31041,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)) | v141(constB43))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31042,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 27.13/18.41 tff(31043,plain,
% 27.13/18.41 (v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)) | v141(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31042, 26366, 31036])).
% 27.13/18.41 tff(31044,plain,
% 27.13/18.41 (v141(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31043, 31032, 31028])).
% 27.13/18.41 tff(31045,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB43)) | v168(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB43)) | v168(constB43))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31046,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB43)) | v168(constB43))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31047,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB43)) | v168(constB43)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31046, 31045])).
% 27.13/18.41 tff(31048,plain,
% 27.13/18.41 (v168(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31047, 26380, 31044])).
% 27.13/18.41 tff(31049,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB43)) | v167(constB43))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB43)) | v167(constB43))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31050,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB43)) | v167(constB43))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31051,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB43)) | v167(constB43)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31050, 31049])).
% 27.13/18.41 tff(31052,plain,
% 27.13/18.41 (v167(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31051, 23043, 31048])).
% 27.13/18.41 tff(31053,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB43)) | (~v170(constB43)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB43)) | (~v170(constB43)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31054,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB43)) | (~v170(constB43)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31055,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB43)) | (~v170(constB43))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31054, 31053])).
% 27.13/18.41 tff(31056,plain,
% 27.13/18.41 (~v170(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31055, 8084, 31052])).
% 27.13/18.41 tff(31057,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB43) | (~v167(constB43)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB43) | (~v167(constB43)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31058,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB43) | (~v167(constB43)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31059,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB43) | (~v167(constB43))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31058, 31057])).
% 27.13/18.41 tff(31060,plain,
% 27.13/18.41 (v166(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31059, 8098, 31052])).
% 27.13/18.41 tff(31061,plain,
% 27.13/18.41 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB43)) | v170(constB43) | (~v166(constB43)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB43)) | v170(constB43) | (~v166(constB43)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31062,plain,
% 27.13/18.41 (((~v166(constB43)) | v170(constB43) | (~v163(constB43))) <=> ((~v163(constB43)) | v170(constB43) | (~v166(constB43)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31063,plain,
% 27.13/18.41 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB43)) | v170(constB43) | (~v163(constB43)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB43)) | v170(constB43) | (~v166(constB43))))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31062])).
% 27.13/18.41 tff(31064,plain,
% 27.13/18.41 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB43)) | v170(constB43) | (~v163(constB43)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB43)) | v170(constB43) | (~v166(constB43)))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31063, 31061])).
% 27.13/18.41 tff(31065,plain,
% 27.13/18.41 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB43)) | v170(constB43) | (~v163(constB43)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31066,plain,
% 27.13/18.41 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB43)) | v170(constB43) | (~v166(constB43))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31065, 31064])).
% 27.13/18.41 tff(31067,plain,
% 27.13/18.41 (~v163(constB43)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31066, 8112, 31060, 31056])).
% 27.13/18.41 tff(31068,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31069,plain,
% 27.13/18.41 (((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44))) <=> (v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31070,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44))))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31069])).
% 27.13/18.41 tff(31071,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44)))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31070, 31068])).
% 27.13/18.41 tff(31072,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB43, constB44)) | v163(constB43) | (~v186(constB44)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31073,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB43) | (~nextState(constB43, constB44)) | (~v186(constB44))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31072, 31071])).
% 27.13/18.41 tff(31074,plain,
% 27.13/18.41 (v163(constB43) | (~v186(constB44))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31073, 19345, 6086])).
% 27.13/18.41 tff(31075,plain,
% 27.13/18.41 (~v186(constB44)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31074, 31067])).
% 27.13/18.41 tff(31076,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31077,plain,
% 27.13/18.41 (((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44)) <=> ((~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31078,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v181(constB44) | v104(constB44)))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31077])).
% 27.13/18.41 tff(31079,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB43, constB44)) | v181(constB44) | v104(constB44))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31078, 31076])).
% 27.13/18.41 tff(31080,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | v181(constB44))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31081,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB43, constB44)) | v181(constB44) | v104(constB44)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 27.13/18.41 tff(31082,plain,
% 27.13/18.41 (v181(constB44) | v104(constB44)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31081, 19367, 6086])).
% 27.13/18.41 tff(31083,plain,
% 27.13/18.41 (v181(constB44)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31082, 6098])).
% 27.13/18.41 tff(31084,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31085,plain,
% 27.13/18.41 (((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44))) <=> ((~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31086,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44))))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31085])).
% 27.13/18.41 tff(31087,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44)))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31086, 31084])).
% 27.13/18.41 tff(31088,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB43, constB44)) | (~v1(constB44)) | v180(constB44) | (~v181(constB44)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31089,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB43, constB44)) | v180(constB44) | (~v1(constB44)) | (~v181(constB44))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 27.13/18.41 tff(31090,plain,
% 27.13/18.41 (v180(constB44) | (~v181(constB44))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31089, 19385, 6086, 6109])).
% 27.13/18.41 tff(31091,plain,
% 27.13/18.41 (v180(constB44)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31090, 31083])).
% 27.13/18.41 tff(31092,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31093,plain,
% 27.13/18.41 (((~nextState(constB43, constB44)) | (~v180(constB44)) | v179(constB44)) <=> ((~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31094,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB43, constB44)) | (~v180(constB44)) | v179(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44))))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31093])).
% 27.13/18.41 tff(31095,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB43, constB44)) | (~v180(constB44)) | v179(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44)))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31094, 31092])).
% 27.13/18.41 tff(31096,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB43, constB44)) | (~v180(constB44)) | v179(constB44))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31097,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB43, constB44)) | v179(constB44) | (~v180(constB44))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31096, 31095])).
% 27.13/18.41 tff(31098,plain,
% 27.13/18.41 (v179(constB44) | (~v180(constB44))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31097, 19403, 6086])).
% 27.13/18.41 tff(31099,plain,
% 27.13/18.41 (v179(constB44)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31098, 31091])).
% 27.13/18.41 tff(31100,plain,
% 27.13/18.41 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB44) | (~v159(constB44)) | (~v179(constB44)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB44) | (~v159(constB44)) | (~v179(constB44)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31101,plain,
% 27.13/18.41 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB44) | (~v159(constB44)) | (~v179(constB44)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31102,plain,
% 27.13/18.41 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB44) | (~v159(constB44)) | (~v179(constB44))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31101, 31100])).
% 27.13/18.41 tff(31103,plain,
% 27.13/18.41 (v186(constB44) | (~v159(constB44))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31102, 19421, 31099])).
% 27.13/18.41 tff(31104,plain,
% 27.13/18.41 (~v159(constB44)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31103, 31075])).
% 27.13/18.41 tff(31105,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31106,plain,
% 27.13/18.41 (((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45))) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31107,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45))))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31106])).
% 27.13/18.41 tff(31108,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45)))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31107, 31105])).
% 27.13/18.41 tff(31109,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v1(constB45) | (~v180(constB45)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31110,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v180(constB45))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31109, 31108])).
% 27.13/18.41 tff(31111,plain,
% 27.13/18.41 (~v180(constB45)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31110, 19439, 6154, 6151])).
% 27.13/18.41 tff(31112,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31113,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31114,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB44, constB45)) | v180(constB45) | (~v179(constB45))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31113, 31112])).
% 27.13/18.41 tff(31115,plain,
% 27.13/18.41 (v180(constB45) | (~v179(constB45))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31114, 19456, 6154])).
% 27.13/18.41 tff(31116,plain,
% 27.13/18.41 (~v179(constB45)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31115, 31111])).
% 27.13/18.41 tff(31117,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31118,plain,
% 27.13/18.41 (((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45))) <=> (v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31119,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45))))),
% 27.13/18.41 inference(monotonicity,[status(thm)],[31118])).
% 27.13/18.41 tff(31120,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45)))),
% 27.13/18.41 inference(transitivity,[status(thm)],[31119, 31117])).
% 27.13/18.41 tff(31121,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB44, constB45)) | v179(constB45) | v159(constB44) | (~v159(constB45)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31122,plain,
% 27.13/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB44) | (~nextState(constB44, constB45)) | v179(constB45) | (~v159(constB45))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31121, 31120])).
% 27.13/18.41 tff(31123,plain,
% 27.13/18.41 (v159(constB44) | v179(constB45) | (~v159(constB45))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31122, 19471, 6154])).
% 27.13/18.41 tff(31124,plain,
% 27.13/18.41 (v159(constB44) | (~v159(constB45))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31123, 31116])).
% 27.13/18.41 tff(31125,plain,
% 27.13/18.41 (~v159(constB45)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31124, 31104])).
% 27.13/18.41 tff(31126,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB45) | (~v201(constB45)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB45) | (~v201(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31127,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB45) | (~v201(constB45)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31128,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB45) | (~v201(constB45))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31127, 31126])).
% 27.13/18.41 tff(31129,plain,
% 27.13/18.41 (~v201(constB45)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31128, 19490, 31125])).
% 27.13/18.41 tff(31130,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB45) | (~v200(constB45)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB45) | (~v200(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31131,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB45) | (~v200(constB45)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31132,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB45) | (~v200(constB45))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31131, 31130])).
% 27.13/18.41 tff(31133,plain,
% 27.13/18.41 (~v200(constB45)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31132, 8143, 31129])).
% 27.13/18.41 tff(31134,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB45) | (~v198(constB45)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB45) | (~v198(constB45)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31135,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB45) | (~v198(constB45)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31136,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB45) | (~v198(constB45))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31135, 31134])).
% 27.13/18.41 tff(31137,plain,
% 27.13/18.41 (~v198(constB45)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31136, 8157, 31133])).
% 27.13/18.41 tff(31138,assumption,(v18(constB46)), introduced(assumption)).
% 27.13/18.41 tff(31139,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB46))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31140,plain,
% 27.13/18.41 ($false),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31139, 8, 31138])).
% 27.13/18.41 tff(31141,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.41 tff(31142,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31143,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31144,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31143, 31142])).
% 27.13/18.41 tff(31145,plain,
% 27.13/18.41 (v22(constB46)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31144, 24, 6318])).
% 27.13/18.41 tff(31146,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB46) | (~v22(constB46)) | (~v19(constB46)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB46) | (~v22(constB46)) | (~v19(constB46)))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31147,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB46) | (~v22(constB46)) | (~v19(constB46)))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31148,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB46) | (~v22(constB46)) | (~v19(constB46))),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 27.13/18.41 tff(31149,plain,
% 27.13/18.41 (v18(constB46) | (~v19(constB46))),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31148, 38, 31145])).
% 27.13/18.41 tff(31150,plain,
% 27.13/18.41 (~v19(constB46)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31149, 31141])).
% 27.13/18.41 tff(31151,plain,
% 27.13/18.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 27.13/18.41 inference(rewrite,[status(thm)],[])).
% 27.13/18.41 tff(31152,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 27.13/18.41 inference(quant_inst,[status(thm)],[])).
% 27.13/18.41 tff(31153,plain,
% 27.13/18.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 27.13/18.41 inference(modus_ponens,[status(thm)],[31152, 31151])).
% 27.13/18.41 tff(31154,plain,
% 27.13/18.41 (v13(constB46)),
% 27.13/18.41 inference(unit_resolution,[status(thm)],[31153, 50, 31150])).
% 27.13/18.41 tff(31155,plain,
% 27.13/18.41 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31156,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31157,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 27.13/18.42 tff(31158,plain,
% 27.13/18.42 (v9(constB45) | (~v13(constB46))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31157, 67, 6295])).
% 27.13/18.42 tff(31159,plain,
% 27.13/18.42 (v9(constB45)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31158, 31154])).
% 27.13/18.42 tff(31160,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v197(constB45))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB45) | (~v9(constB45)) | v197(constB45))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31161,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v197(constB45))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31162,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB45) | (~v9(constB45)) | v197(constB45)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31161, 31160])).
% 27.13/18.42 tff(31163,plain,
% 27.13/18.42 ((~v9(constB45)) | v197(constB45)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31162, 85, 6151])).
% 27.13/18.42 tff(31164,plain,
% 27.13/18.42 (v197(constB45)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31163, 31159])).
% 27.13/18.42 tff(31165,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB45) | (~v197(constB45)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB45) | (~v197(constB45)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31166,plain,
% 27.13/18.42 (((~v197(constB45)) | v196(constB45)) <=> (v196(constB45) | (~v197(constB45)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31167,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB45)) | v196(constB45))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB45) | (~v197(constB45))))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31166])).
% 27.13/18.42 tff(31168,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB45)) | v196(constB45))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB45) | (~v197(constB45)))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31167, 31165])).
% 27.13/18.42 tff(31169,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB45)) | v196(constB45))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31170,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB45) | (~v197(constB45))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 27.13/18.42 tff(31171,plain,
% 27.13/18.42 (v196(constB45)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31170, 97, 31164])).
% 27.13/18.42 tff(31172,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB45)) | (~v196(constB45)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB45)) | (~v196(constB45)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31173,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB45)) | (~v196(constB45)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31174,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB45)) | (~v196(constB45))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31173, 31172])).
% 27.13/18.42 tff(31175,plain,
% 27.13/18.42 (~v194(constB45)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31174, 108, 31171])).
% 27.13/18.42 tff(31176,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB45) | v198(constB45) | (~v191(constB45)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB45) | v198(constB45) | (~v191(constB45)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31177,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB45) | v198(constB45) | (~v191(constB45)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31178,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB45) | v198(constB45) | (~v191(constB45))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 27.13/18.42 tff(31179,plain,
% 27.13/18.42 (v198(constB45) | (~v191(constB45))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31178, 8171, 31175])).
% 27.13/18.42 tff(31180,plain,
% 27.13/18.42 (~v191(constB45)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31179, 31137])).
% 27.13/18.42 tff(31181,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31182,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31183,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB45, constB46)) | v191(constB45) | (~v193(constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31182, 31181])).
% 27.13/18.42 tff(31184,plain,
% 27.13/18.42 (v191(constB45) | (~v193(constB46))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31183, 8186, 6295])).
% 27.13/18.42 tff(31185,plain,
% 27.13/18.42 (~v193(constB46)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31184, 31180])).
% 27.13/18.42 tff(31186,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB46) | (~v194(constB46)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB46) | (~v194(constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31187,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB46) | (~v194(constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31188,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB46) | (~v194(constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 27.13/18.42 tff(31189,plain,
% 27.13/18.42 (~v194(constB46)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31188, 8201, 31185])).
% 27.13/18.42 tff(31190,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB46)) | (~v197(constB46)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB46)) | (~v197(constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31191,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB46)) | (~v197(constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31192,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB46)) | (~v197(constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31191, 31190])).
% 27.13/18.42 tff(31193,plain,
% 27.13/18.42 (~v197(constB46)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31192, 8215, 6318])).
% 27.13/18.42 tff(31194,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB46) | (~v200(constB46)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB46) | (~v200(constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31195,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB46) | (~v200(constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31196,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB46) | (~v200(constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31195, 31194])).
% 27.13/18.42 tff(31197,plain,
% 27.13/18.42 (~v200(constB46)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31196, 8229, 31193])).
% 27.13/18.42 tff(31198,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB46) | (~v198(constB46)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB46) | (~v198(constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31199,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB46) | (~v198(constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31200,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB46) | (~v198(constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31199, 31198])).
% 27.13/18.42 tff(31201,plain,
% 27.13/18.42 (~v198(constB46)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31200, 8157, 31197])).
% 27.13/18.42 tff(31202,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB46) | v198(constB46) | (~v191(constB46)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB46) | v198(constB46) | (~v191(constB46)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31203,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB46) | v198(constB46) | (~v191(constB46)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31204,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB46) | v198(constB46) | (~v191(constB46))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31203, 31202])).
% 27.13/18.42 tff(31205,plain,
% 27.13/18.42 (v194(constB46) | (~v191(constB46))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31204, 8171, 31201])).
% 27.13/18.42 tff(31206,plain,
% 27.13/18.42 (~v191(constB46)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31205, 31189])).
% 27.13/18.42 tff(31207,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31208,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31209,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB46, constB47)) | v191(constB46) | (~v193(constB47))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31208, 31207])).
% 27.13/18.42 tff(31210,plain,
% 27.13/18.42 (v191(constB46) | (~v193(constB47))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31209, 8186, 6395])).
% 27.13/18.42 tff(31211,plain,
% 27.13/18.42 (~v193(constB47)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31210, 31206])).
% 27.13/18.42 tff(31212,plain,
% 27.13/18.42 ($false),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31211, 31024])).
% 27.13/18.42 tff(31213,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.42 tff(31214,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 27.13/18.42 tff(31215,plain,
% 27.13/18.42 (v193(constB103) <=> v193(sK0_VarCurr)),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31214])).
% 27.13/18.42 tff(31216,plain,
% 27.13/18.42 (v193(sK0_VarCurr) <=> v193(constB103)),
% 27.13/18.42 inference(symmetry,[status(thm)],[31215])).
% 27.13/18.42 tff(31217,plain,
% 27.13/18.42 (v193(constB103)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[8270, 31216])).
% 27.13/18.42 tff(31218,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB99, bitIndex2)) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB99, bitIndex2)) | v90(constB99, bitIndex2))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31219,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB99, bitIndex2)) | v90(constB99, bitIndex2))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31220,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB99, bitIndex2)) | v90(constB99, bitIndex2)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31219, 31218])).
% 27.13/18.42 tff(31221,plain,
% 27.13/18.42 (~v88(constB99, bitIndex2)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31220, 25366, 12551])).
% 27.13/18.42 tff(31222,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB99, bitIndex1)) | v90(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB99, bitIndex1)) | v90(constB99, bitIndex1))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31223,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB99, bitIndex1)) | v90(constB99, bitIndex1))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31224,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB99, bitIndex1)) | v90(constB99, bitIndex1)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 27.13/18.42 tff(31225,plain,
% 27.13/18.42 (~v88(constB99, bitIndex1)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31224, 25377, 12585])).
% 27.13/18.42 tff(31226,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31227,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31228,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31227, 31226])).
% 27.13/18.42 tff(31229,plain,
% 27.13/18.42 (v88(constB99, bitIndex0)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31228, 26352, 12616])).
% 27.13/18.42 tff(31230,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31231,plain,
% 27.13/18.42 ((v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99)) <=> (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31232,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99)))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31231])).
% 27.13/18.42 tff(31233,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31232, 31230])).
% 27.13/18.42 tff(31234,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31235,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 27.13/18.42 tff(31236,plain,
% 27.13/18.42 (v140(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31235, 26773, 31229, 31225, 31221])).
% 27.13/18.42 tff(31237,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB99)) | v169(constB99))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB99)) | v169(constB99))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31238,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB99)) | v169(constB99))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31239,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB99)) | v169(constB99)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31238, 31237])).
% 27.13/18.42 tff(31240,plain,
% 27.13/18.42 (v169(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31239, 26787, 31236])).
% 27.13/18.42 tff(31241,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB99) | (~v169(constB99)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB99) | (~v169(constB99)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31242,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB99) | (~v169(constB99)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31243,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB99) | (~v169(constB99))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31242, 31241])).
% 27.13/18.42 tff(31244,plain,
% 27.13/18.42 (v168(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31243, 23060, 31240])).
% 27.13/18.42 tff(31245,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB99)) | v167(constB99))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB99)) | v167(constB99))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31246,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB99)) | v167(constB99))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31247,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB99)) | v167(constB99)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 27.13/18.42 tff(31248,plain,
% 27.13/18.42 (v167(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31247, 23043, 31244])).
% 27.13/18.42 tff(31249,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB99)) | (~v170(constB99)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB99)) | (~v170(constB99)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31250,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB99)) | (~v170(constB99)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31251,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB99)) | (~v170(constB99))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31250, 31249])).
% 27.13/18.42 tff(31252,plain,
% 27.13/18.42 (~v170(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31251, 8084, 31248])).
% 27.13/18.42 tff(31253,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31254,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31255,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31254, 31253])).
% 27.13/18.42 tff(31256,plain,
% 27.13/18.42 (v166(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31255, 8098, 31248])).
% 27.13/18.42 tff(31257,plain,
% 27.13/18.42 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB99)) | (~v166(constB99)) | v170(constB99))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31258,plain,
% 27.13/18.42 (((~v166(constB99)) | v170(constB99) | (~v163(constB99))) <=> ((~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31259,plain,
% 27.13/18.42 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB99)) | (~v166(constB99)) | v170(constB99)))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31258])).
% 27.13/18.42 tff(31260,plain,
% 27.13/18.42 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31259, 31257])).
% 27.13/18.42 tff(31261,plain,
% 27.13/18.42 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB99)) | v170(constB99) | (~v163(constB99)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31262,plain,
% 27.13/18.42 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB99)) | (~v166(constB99)) | v170(constB99)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 27.13/18.42 tff(31263,plain,
% 27.13/18.42 (~v163(constB99)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31262, 8112, 31256, 31252])).
% 27.13/18.42 tff(31264,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31265,plain,
% 27.13/18.42 (((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100))) <=> (v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31266,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100))))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31265])).
% 27.13/18.42 tff(31267,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100)))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31266, 31264])).
% 27.13/18.42 tff(31268,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB99, constB100)) | v163(constB99) | (~v186(constB100)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31269,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB99) | (~nextState(constB99, constB100)) | (~v186(constB100))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31268, 31267])).
% 27.13/18.42 tff(31270,plain,
% 27.13/18.42 (v163(constB99) | (~v186(constB100))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31269, 19345, 12675])).
% 27.13/18.42 tff(31271,plain,
% 27.13/18.42 (~v186(constB100)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31270, 31263])).
% 27.13/18.42 tff(31272,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31273,plain,
% 27.13/18.42 (((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100)) <=> ((~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31274,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v181(constB100) | v104(constB100)))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31273])).
% 27.13/18.42 tff(31275,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB99, constB100)) | v181(constB100) | v104(constB100))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31274, 31272])).
% 27.13/18.42 tff(31276,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | v181(constB100))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31277,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB99, constB100)) | v181(constB100) | v104(constB100)),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 27.13/18.42 tff(31278,plain,
% 27.13/18.42 (v181(constB100) | v104(constB100)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31277, 19367, 12675])).
% 27.13/18.42 tff(31279,plain,
% 27.13/18.42 (v181(constB100)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31278, 12687])).
% 27.13/18.42 tff(31280,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31281,plain,
% 27.13/18.42 (((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100))) <=> ((~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31282,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100))))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31281])).
% 27.13/18.42 tff(31283,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100)))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31282, 31280])).
% 27.13/18.42 tff(31284,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB99, constB100)) | (~v1(constB100)) | v180(constB100) | (~v181(constB100)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31285,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB99, constB100)) | v180(constB100) | (~v1(constB100)) | (~v181(constB100))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31284, 31283])).
% 27.13/18.42 tff(31286,plain,
% 27.13/18.42 (v180(constB100) | (~v181(constB100))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31285, 19385, 12675, 12698])).
% 27.13/18.42 tff(31287,plain,
% 27.13/18.42 (v180(constB100)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31286, 31279])).
% 27.13/18.42 tff(31288,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31289,plain,
% 27.13/18.42 (((~nextState(constB99, constB100)) | (~v180(constB100)) | v179(constB100)) <=> ((~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31290,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB99, constB100)) | (~v180(constB100)) | v179(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100))))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31289])).
% 27.13/18.42 tff(31291,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB99, constB100)) | (~v180(constB100)) | v179(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100)))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31290, 31288])).
% 27.13/18.42 tff(31292,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB99, constB100)) | (~v180(constB100)) | v179(constB100))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31293,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB99, constB100)) | v179(constB100) | (~v180(constB100))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31292, 31291])).
% 27.13/18.42 tff(31294,plain,
% 27.13/18.42 (v179(constB100) | (~v180(constB100))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31293, 19403, 12675])).
% 27.13/18.42 tff(31295,plain,
% 27.13/18.42 (v179(constB100)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31294, 31287])).
% 27.13/18.42 tff(31296,plain,
% 27.13/18.42 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB100) | (~v159(constB100)) | (~v179(constB100)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB100) | (~v159(constB100)) | (~v179(constB100)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31297,plain,
% 27.13/18.42 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB100) | (~v159(constB100)) | (~v179(constB100)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31298,plain,
% 27.13/18.42 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB100) | (~v159(constB100)) | (~v179(constB100))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31297, 31296])).
% 27.13/18.42 tff(31299,plain,
% 27.13/18.42 (v186(constB100) | (~v159(constB100))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31298, 19421, 31295])).
% 27.13/18.42 tff(31300,plain,
% 27.13/18.42 (~v159(constB100)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31299, 31271])).
% 27.13/18.42 tff(31301,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31302,plain,
% 27.13/18.42 (((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101))) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31303,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101))))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31302])).
% 27.13/18.42 tff(31304,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101)))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31303, 31301])).
% 27.13/18.42 tff(31305,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v1(constB101) | (~v180(constB101)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31306,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v180(constB101))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 27.13/18.42 tff(31307,plain,
% 27.13/18.42 (~v180(constB101)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31306, 19439, 12743, 12740])).
% 27.13/18.42 tff(31308,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31309,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31310,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB100, constB101)) | v180(constB101) | (~v179(constB101))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31309, 31308])).
% 27.13/18.42 tff(31311,plain,
% 27.13/18.42 (v180(constB101) | (~v179(constB101))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31310, 19456, 12743])).
% 27.13/18.42 tff(31312,plain,
% 27.13/18.42 (~v179(constB101)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31311, 31307])).
% 27.13/18.42 tff(31313,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31314,plain,
% 27.13/18.42 (((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101))) <=> (v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31315,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101))))),
% 27.13/18.42 inference(monotonicity,[status(thm)],[31314])).
% 27.13/18.42 tff(31316,plain,
% 27.13/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101)))),
% 27.13/18.42 inference(transitivity,[status(thm)],[31315, 31313])).
% 27.13/18.42 tff(31317,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB100, constB101)) | v179(constB101) | v159(constB100) | (~v159(constB101)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31318,plain,
% 27.13/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB100) | (~nextState(constB100, constB101)) | v179(constB101) | (~v159(constB101))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31317, 31316])).
% 27.13/18.42 tff(31319,plain,
% 27.13/18.42 (v159(constB100) | v179(constB101) | (~v159(constB101))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31318, 19471, 12743])).
% 27.13/18.42 tff(31320,plain,
% 27.13/18.42 (v159(constB100) | (~v159(constB101))),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31319, 31312])).
% 27.13/18.42 tff(31321,plain,
% 27.13/18.42 (~v159(constB101)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31320, 31300])).
% 27.13/18.42 tff(31322,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB101) | (~v201(constB101)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB101) | (~v201(constB101)))),
% 27.13/18.42 inference(rewrite,[status(thm)],[])).
% 27.13/18.42 tff(31323,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB101) | (~v201(constB101)))),
% 27.13/18.42 inference(quant_inst,[status(thm)],[])).
% 27.13/18.42 tff(31324,plain,
% 27.13/18.42 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB101) | (~v201(constB101))),
% 27.13/18.42 inference(modus_ponens,[status(thm)],[31323, 31322])).
% 27.13/18.42 tff(31325,plain,
% 27.13/18.42 (~v201(constB101)),
% 27.13/18.42 inference(unit_resolution,[status(thm)],[31324, 19490, 31321])).
% 27.13/18.42 tff(31326,plain,
% 27.13/18.42 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB101) | (~v200(constB101)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB101) | (~v200(constB101)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31327,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB101) | (~v200(constB101)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31328,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB101) | (~v200(constB101))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31327, 31326])).
% 27.13/18.43 tff(31329,plain,
% 27.13/18.43 (~v200(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31328, 8143, 31325])).
% 27.13/18.43 tff(31330,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB101) | (~v198(constB101)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB101) | (~v198(constB101)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31331,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB101) | (~v198(constB101)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31332,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB101) | (~v198(constB101))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31331, 31330])).
% 27.13/18.43 tff(31333,plain,
% 27.13/18.43 (~v198(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31332, 8157, 31329])).
% 27.13/18.43 tff(31334,assumption,(v18(constB102)), introduced(assumption)).
% 27.13/18.43 tff(31335,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31336,plain,
% 27.13/18.43 ($false),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31335, 8, 31334])).
% 27.13/18.43 tff(31337,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.43 tff(31338,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31339,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31340,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31339, 31338])).
% 27.13/18.43 tff(31341,plain,
% 27.13/18.43 (v22(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31340, 24, 12907])).
% 27.13/18.43 tff(31342,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31343,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31344,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31343, 31342])).
% 27.13/18.43 tff(31345,plain,
% 27.13/18.43 (v18(constB102) | (~v19(constB102))),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31344, 38, 31341])).
% 27.13/18.43 tff(31346,plain,
% 27.13/18.43 (~v19(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31345, 31337])).
% 27.13/18.43 tff(31347,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31348,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31349,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 27.13/18.43 tff(31350,plain,
% 27.13/18.43 (v13(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31349, 50, 31346])).
% 27.13/18.43 tff(31351,plain,
% 27.13/18.43 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31352,plain,
% 27.13/18.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31353,plain,
% 27.13/18.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31352, 31351])).
% 27.13/18.43 tff(31354,plain,
% 27.13/18.43 (v9(constB101) | (~v13(constB102))),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31353, 67, 12884])).
% 27.13/18.43 tff(31355,plain,
% 27.13/18.43 (v9(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31354, 31350])).
% 27.13/18.43 tff(31356,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v197(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB101) | (~v9(constB101)) | v197(constB101))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31357,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v197(constB101))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31358,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB101) | (~v9(constB101)) | v197(constB101)),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31357, 31356])).
% 27.13/18.43 tff(31359,plain,
% 27.13/18.43 ((~v9(constB101)) | v197(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31358, 85, 12740])).
% 27.13/18.43 tff(31360,plain,
% 27.13/18.43 (v197(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31359, 31355])).
% 27.13/18.43 tff(31361,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB101)) | v196(constB101))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB101)) | v196(constB101))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31362,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB101)) | v196(constB101))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31363,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB101)) | v196(constB101)),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 27.13/18.43 tff(31364,plain,
% 27.13/18.43 (v196(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31363, 97, 31360])).
% 27.13/18.43 tff(31365,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB101)) | (~v196(constB101)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB101)) | (~v196(constB101)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31366,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB101)) | (~v196(constB101)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31367,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB101)) | (~v196(constB101))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31366, 31365])).
% 27.13/18.43 tff(31368,plain,
% 27.13/18.43 (~v194(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31367, 108, 31364])).
% 27.13/18.43 tff(31369,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB101) | v198(constB101) | (~v191(constB101)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB101) | v198(constB101) | (~v191(constB101)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31370,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB101) | v198(constB101) | (~v191(constB101)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31371,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB101) | v198(constB101) | (~v191(constB101))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31370, 31369])).
% 27.13/18.43 tff(31372,plain,
% 27.13/18.43 (v198(constB101) | (~v191(constB101))),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31371, 8171, 31368])).
% 27.13/18.43 tff(31373,plain,
% 27.13/18.43 (~v191(constB101)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31372, 31333])).
% 27.13/18.43 tff(31374,plain,
% 27.13/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31375,plain,
% 27.13/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31376,plain,
% 27.13/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB101, constB102)) | v191(constB101) | (~v193(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31375, 31374])).
% 27.13/18.43 tff(31377,plain,
% 27.13/18.43 (v191(constB101) | (~v193(constB102))),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31376, 8186, 12884])).
% 27.13/18.43 tff(31378,plain,
% 27.13/18.43 (~v193(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31377, 31373])).
% 27.13/18.43 tff(31379,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB102) | (~v194(constB102)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB102) | (~v194(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31380,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB102) | (~v194(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31381,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB102) | (~v194(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31380, 31379])).
% 27.13/18.43 tff(31382,plain,
% 27.13/18.43 (~v194(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31381, 8201, 31378])).
% 27.13/18.43 tff(31383,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB102)) | (~v197(constB102)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB102)) | (~v197(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31384,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB102)) | (~v197(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31385,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB102)) | (~v197(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31384, 31383])).
% 27.13/18.43 tff(31386,plain,
% 27.13/18.43 (~v197(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31385, 8215, 12907])).
% 27.13/18.43 tff(31387,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB102) | (~v200(constB102)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB102) | (~v200(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31388,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB102) | (~v200(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31389,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB102) | (~v200(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31388, 31387])).
% 27.13/18.43 tff(31390,plain,
% 27.13/18.43 (~v200(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31389, 8229, 31386])).
% 27.13/18.43 tff(31391,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB102) | (~v198(constB102)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB102) | (~v198(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31392,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB102) | (~v198(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31393,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB102) | (~v198(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31392, 31391])).
% 27.13/18.43 tff(31394,plain,
% 27.13/18.43 (~v198(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31393, 8157, 31390])).
% 27.13/18.43 tff(31395,plain,
% 27.13/18.43 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB102) | v198(constB102) | (~v191(constB102)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB102) | v198(constB102) | (~v191(constB102)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31396,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB102) | v198(constB102) | (~v191(constB102)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31397,plain,
% 27.13/18.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB102) | v198(constB102) | (~v191(constB102))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31396, 31395])).
% 27.13/18.43 tff(31398,plain,
% 27.13/18.43 (v194(constB102) | (~v191(constB102))),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31397, 8171, 31394])).
% 27.13/18.43 tff(31399,plain,
% 27.13/18.43 (~v191(constB102)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31398, 31382])).
% 27.13/18.43 tff(31400,plain,
% 27.13/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103)))),
% 27.13/18.43 inference(rewrite,[status(thm)],[])).
% 27.13/18.43 tff(31401,plain,
% 27.13/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103)))),
% 27.13/18.43 inference(quant_inst,[status(thm)],[])).
% 27.13/18.43 tff(31402,plain,
% 27.13/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB102, constB103)) | v191(constB102) | (~v193(constB103))),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 27.13/18.43 tff(31403,plain,
% 27.13/18.43 (v191(constB102) | (~v193(constB103))),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31402, 8186, 12952])).
% 27.13/18.43 tff(31404,plain,
% 27.13/18.43 (~v193(constB103)),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31403, 31399])).
% 27.13/18.43 tff(31405,plain,
% 27.13/18.43 ($false),
% 27.13/18.43 inference(unit_resolution,[status(thm)],[31404, 31217])).
% 27.13/18.43 tff(31406,plain,(~(constB103 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.13/18.43 tff(31407,assumption,(constB113 = sK0_VarCurr), introduced(assumption)).
% 27.13/18.43 tff(31408,plain,
% 27.13/18.43 (v193(constB113) <=> v193(sK0_VarCurr)),
% 27.13/18.43 inference(monotonicity,[status(thm)],[31407])).
% 27.13/18.43 tff(31409,plain,
% 27.13/18.43 (v193(sK0_VarCurr) <=> v193(constB113)),
% 27.13/18.43 inference(symmetry,[status(thm)],[31408])).
% 27.13/18.43 tff(31410,plain,
% 27.13/18.43 (v193(constB113)),
% 27.13/18.43 inference(modus_ponens,[status(thm)],[8270, 31409])).
% 27.13/18.43 tff(31411,plain,
% 27.13/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31412,plain,
% 27.17/18.43 (((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110))) <=> (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31413,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110))))),
% 27.17/18.43 inference(monotonicity,[status(thm)],[31412])).
% 27.17/18.43 tff(31414,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110)))),
% 27.17/18.43 inference(transitivity,[status(thm)],[31413, 31411])).
% 27.17/18.43 tff(31415,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB109, constB110)) | v163(constB109) | (~v186(constB110)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31416,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB109) | (~nextState(constB109, constB110)) | (~v186(constB110))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 27.17/18.43 tff(31417,plain,
% 27.17/18.43 (v163(constB109) | (~v186(constB110))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31416, 19345, 13665])).
% 27.17/18.43 tff(31418,plain,
% 27.17/18.43 (~v186(constB110)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31417, 28385])).
% 27.17/18.43 tff(31419,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31420,plain,
% 27.17/18.43 (((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110)) <=> ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31421,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v181(constB110) | v104(constB110)))),
% 27.17/18.43 inference(monotonicity,[status(thm)],[31420])).
% 27.17/18.43 tff(31422,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110))),
% 27.17/18.43 inference(transitivity,[status(thm)],[31421, 31419])).
% 27.17/18.43 tff(31423,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | v181(constB110))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31424,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB109, constB110)) | v181(constB110) | v104(constB110)),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31423, 31422])).
% 27.17/18.43 tff(31425,plain,
% 27.17/18.43 (v181(constB110) | v104(constB110)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31424, 19367, 13665])).
% 27.17/18.43 tff(31426,plain,
% 27.17/18.43 (v181(constB110)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31425, 13677])).
% 27.17/18.43 tff(31427,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31428,plain,
% 27.17/18.43 (((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110))) <=> ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31429,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110))))),
% 27.17/18.43 inference(monotonicity,[status(thm)],[31428])).
% 27.17/18.43 tff(31430,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110)))),
% 27.17/18.43 inference(transitivity,[status(thm)],[31429, 31427])).
% 27.17/18.43 tff(31431,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB109, constB110)) | (~v1(constB110)) | v180(constB110) | (~v181(constB110)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31432,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB109, constB110)) | v180(constB110) | (~v1(constB110)) | (~v181(constB110))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31431, 31430])).
% 27.17/18.43 tff(31433,plain,
% 27.17/18.43 (v180(constB110) | (~v181(constB110))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31432, 19385, 13665, 13688])).
% 27.17/18.43 tff(31434,plain,
% 27.17/18.43 (v180(constB110)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31433, 31426])).
% 27.17/18.43 tff(31435,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31436,plain,
% 27.17/18.43 (((~nextState(constB109, constB110)) | (~v180(constB110)) | v179(constB110)) <=> ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31437,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB109, constB110)) | (~v180(constB110)) | v179(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110))))),
% 27.17/18.43 inference(monotonicity,[status(thm)],[31436])).
% 27.17/18.43 tff(31438,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB109, constB110)) | (~v180(constB110)) | v179(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110)))),
% 27.17/18.43 inference(transitivity,[status(thm)],[31437, 31435])).
% 27.17/18.43 tff(31439,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB109, constB110)) | (~v180(constB110)) | v179(constB110))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31440,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB109, constB110)) | v179(constB110) | (~v180(constB110))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31439, 31438])).
% 27.17/18.43 tff(31441,plain,
% 27.17/18.43 (v179(constB110) | (~v180(constB110))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31440, 19403, 13665])).
% 27.17/18.43 tff(31442,plain,
% 27.17/18.43 (v179(constB110)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31441, 31434])).
% 27.17/18.43 tff(31443,plain,
% 27.17/18.43 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB110) | (~v159(constB110)) | (~v179(constB110)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB110) | (~v159(constB110)) | (~v179(constB110)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31444,plain,
% 27.17/18.43 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB110) | (~v159(constB110)) | (~v179(constB110)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31445,plain,
% 27.17/18.43 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB110) | (~v159(constB110)) | (~v179(constB110))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31444, 31443])).
% 27.17/18.43 tff(31446,plain,
% 27.17/18.43 (v186(constB110) | (~v159(constB110))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31445, 19421, 31442])).
% 27.17/18.43 tff(31447,plain,
% 27.17/18.43 (~v159(constB110)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31446, 31418])).
% 27.17/18.43 tff(31448,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31449,plain,
% 27.17/18.43 (((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111))) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31450,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111))))),
% 27.17/18.43 inference(monotonicity,[status(thm)],[31449])).
% 27.17/18.43 tff(31451,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111)))),
% 27.17/18.43 inference(transitivity,[status(thm)],[31450, 31448])).
% 27.17/18.43 tff(31452,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v1(constB111) | (~v180(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31453,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v180(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 27.17/18.43 tff(31454,plain,
% 27.17/18.43 (~v180(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31453, 19439, 13757, 13754])).
% 27.17/18.43 tff(31455,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31456,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31457,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB110, constB111)) | v180(constB111) | (~v179(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 27.17/18.43 tff(31458,plain,
% 27.17/18.43 (v180(constB111) | (~v179(constB111))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31457, 19456, 13757])).
% 27.17/18.43 tff(31459,plain,
% 27.17/18.43 (~v179(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31458, 31454])).
% 27.17/18.43 tff(31460,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31461,plain,
% 27.17/18.43 (((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111))) <=> (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31462,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111))))),
% 27.17/18.43 inference(monotonicity,[status(thm)],[31461])).
% 27.17/18.43 tff(31463,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111)))),
% 27.17/18.43 inference(transitivity,[status(thm)],[31462, 31460])).
% 27.17/18.43 tff(31464,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB110, constB111)) | v179(constB111) | v159(constB110) | (~v159(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31465,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB110) | (~nextState(constB110, constB111)) | v179(constB111) | (~v159(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 27.17/18.43 tff(31466,plain,
% 27.17/18.43 (v159(constB110) | v179(constB111) | (~v159(constB111))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31465, 19471, 13757])).
% 27.17/18.43 tff(31467,plain,
% 27.17/18.43 (v159(constB110) | (~v159(constB111))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31466, 31459])).
% 27.17/18.43 tff(31468,plain,
% 27.17/18.43 (~v159(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31467, 31447])).
% 27.17/18.43 tff(31469,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB111) | (~v201(constB111)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB111) | (~v201(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31470,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB111) | (~v201(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31471,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB111) | (~v201(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31470, 31469])).
% 27.17/18.43 tff(31472,plain,
% 27.17/18.43 (~v201(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31471, 19490, 31468])).
% 27.17/18.43 tff(31473,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | (~v200(constB111)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | (~v200(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31474,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB111) | (~v200(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31475,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB111) | (~v200(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 27.17/18.43 tff(31476,plain,
% 27.17/18.43 (~v200(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31475, 8143, 31472])).
% 27.17/18.43 tff(31477,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB111) | (~v198(constB111)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB111) | (~v198(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31478,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB111) | (~v198(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31479,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB111) | (~v198(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31478, 31477])).
% 27.17/18.43 tff(31480,plain,
% 27.17/18.43 (~v198(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31479, 8157, 31476])).
% 27.17/18.43 tff(31481,assumption,(v18(constB112)), introduced(assumption)).
% 27.17/18.43 tff(31482,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB112))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31483,plain,
% 27.17/18.43 ($false),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31482, 8, 31481])).
% 27.17/18.43 tff(31484,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.43 tff(31485,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31486,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31487,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31486, 31485])).
% 27.17/18.43 tff(31488,plain,
% 27.17/18.43 (v22(constB112)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31487, 24, 13883])).
% 27.17/18.43 tff(31489,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31490,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31491,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31490, 31489])).
% 27.17/18.43 tff(31492,plain,
% 27.17/18.43 (v18(constB112) | (~v19(constB112))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31491, 38, 31488])).
% 27.17/18.43 tff(31493,plain,
% 27.17/18.43 (~v19(constB112)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31492, 31484])).
% 27.17/18.43 tff(31494,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31495,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31496,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 27.17/18.43 tff(31497,plain,
% 27.17/18.43 (v13(constB112)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31496, 50, 31493])).
% 27.17/18.43 tff(31498,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31499,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31500,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 27.17/18.43 tff(31501,plain,
% 27.17/18.43 (v9(constB111) | (~v13(constB112))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31500, 67, 13862])).
% 27.17/18.43 tff(31502,plain,
% 27.17/18.43 (v9(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31501, 31497])).
% 27.17/18.43 tff(31503,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v197(constB111))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB111) | (~v9(constB111)) | v197(constB111))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31504,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v197(constB111))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31505,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB111) | (~v9(constB111)) | v197(constB111)),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31504, 31503])).
% 27.17/18.43 tff(31506,plain,
% 27.17/18.43 ((~v9(constB111)) | v197(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31505, 85, 13754])).
% 27.17/18.43 tff(31507,plain,
% 27.17/18.43 (v197(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31506, 31502])).
% 27.17/18.43 tff(31508,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB111)) | v196(constB111))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB111)) | v196(constB111))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31509,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB111)) | v196(constB111))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31510,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB111)) | v196(constB111)),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31509, 31508])).
% 27.17/18.43 tff(31511,plain,
% 27.17/18.43 (v196(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31510, 97, 31507])).
% 27.17/18.43 tff(31512,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB111)) | (~v196(constB111)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB111)) | (~v196(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31513,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB111)) | (~v196(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31514,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB111)) | (~v196(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31513, 31512])).
% 27.17/18.43 tff(31515,plain,
% 27.17/18.43 (~v194(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31514, 108, 31511])).
% 27.17/18.43 tff(31516,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB111) | v198(constB111) | (~v191(constB111)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB111) | v198(constB111) | (~v191(constB111)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31517,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB111) | v198(constB111) | (~v191(constB111)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31518,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB111) | v198(constB111) | (~v191(constB111))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31517, 31516])).
% 27.17/18.43 tff(31519,plain,
% 27.17/18.43 (v198(constB111) | (~v191(constB111))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31518, 8171, 31515])).
% 27.17/18.43 tff(31520,plain,
% 27.17/18.43 (~v191(constB111)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31519, 31480])).
% 27.17/18.43 tff(31521,plain,
% 27.17/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31522,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31523,plain,
% 27.17/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB111, constB112)) | v191(constB111) | (~v193(constB112))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31522, 31521])).
% 27.17/18.43 tff(31524,plain,
% 27.17/18.43 (v191(constB111) | (~v193(constB112))),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31523, 8186, 13862])).
% 27.17/18.43 tff(31525,plain,
% 27.17/18.43 (~v193(constB112)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31524, 31520])).
% 27.17/18.43 tff(31526,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB112) | (~v194(constB112)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB112) | (~v194(constB112)))),
% 27.17/18.43 inference(rewrite,[status(thm)],[])).
% 27.17/18.43 tff(31527,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB112) | (~v194(constB112)))),
% 27.17/18.43 inference(quant_inst,[status(thm)],[])).
% 27.17/18.43 tff(31528,plain,
% 27.17/18.43 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB112) | (~v194(constB112))),
% 27.17/18.43 inference(modus_ponens,[status(thm)],[31527, 31526])).
% 27.17/18.43 tff(31529,plain,
% 27.17/18.43 (~v194(constB112)),
% 27.17/18.43 inference(unit_resolution,[status(thm)],[31528, 8201, 31525])).
% 27.17/18.43 tff(31530,plain,
% 27.17/18.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB112)) | (~v197(constB112)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB112)) | (~v197(constB112)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31531,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB112)) | (~v197(constB112)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31532,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB112)) | (~v197(constB112))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 27.17/18.44 tff(31533,plain,
% 27.17/18.44 (~v197(constB112)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31532, 8215, 13883])).
% 27.17/18.44 tff(31534,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB112) | (~v200(constB112)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB112) | (~v200(constB112)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31535,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB112) | (~v200(constB112)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31536,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB112) | (~v200(constB112))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31535, 31534])).
% 27.17/18.44 tff(31537,plain,
% 27.17/18.44 (~v200(constB112)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31536, 8229, 31533])).
% 27.17/18.44 tff(31538,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB112) | (~v198(constB112)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB112) | (~v198(constB112)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31539,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB112) | (~v198(constB112)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31540,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB112) | (~v198(constB112))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31539, 31538])).
% 27.17/18.44 tff(31541,plain,
% 27.17/18.44 (~v198(constB112)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31540, 8157, 31537])).
% 27.17/18.44 tff(31542,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB112) | v198(constB112) | (~v191(constB112)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB112) | v198(constB112) | (~v191(constB112)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31543,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB112) | v198(constB112) | (~v191(constB112)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31544,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB112) | v198(constB112) | (~v191(constB112))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31543, 31542])).
% 27.17/18.44 tff(31545,plain,
% 27.17/18.44 (v194(constB112) | (~v191(constB112))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31544, 8171, 31541])).
% 27.17/18.44 tff(31546,plain,
% 27.17/18.44 (~v191(constB112)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31545, 31529])).
% 27.17/18.44 tff(31547,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31548,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31549,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB112, constB113)) | v191(constB112) | (~v193(constB113))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31548, 31547])).
% 27.17/18.44 tff(31550,plain,
% 27.17/18.44 (v191(constB112) | (~v193(constB113))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31549, 8186, 14137])).
% 27.17/18.44 tff(31551,plain,
% 27.17/18.44 (~v193(constB113)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31550, 31546])).
% 27.17/18.44 tff(31552,plain,
% 27.17/18.44 ($false),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31551, 31410])).
% 27.17/18.44 tff(31553,plain,(~(constB113 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.44 tff(31554,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.44 tff(31555,plain,
% 27.17/18.44 (v193(constB45) <=> v193(sK0_VarCurr)),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31554])).
% 27.17/18.44 tff(31556,plain,
% 27.17/18.44 (v193(sK0_VarCurr) <=> v193(constB45)),
% 27.17/18.44 inference(symmetry,[status(thm)],[31555])).
% 27.17/18.44 tff(31557,plain,
% 27.17/18.44 (v193(constB45)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[8270, 31556])).
% 27.17/18.44 tff(31558,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31559,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31560,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31559, 31558])).
% 27.17/18.44 tff(31561,plain,
% 27.17/18.44 (~v88(constB41, bitIndex2)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31560, 25366, 5897])).
% 27.17/18.44 tff(31562,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB41, bitIndex0)) | v90(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB41, bitIndex0)) | v90(constB41, bitIndex0))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31563,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB41, bitIndex0)) | v90(constB41, bitIndex0))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31564,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB41, bitIndex0)) | v90(constB41, bitIndex0)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31563, 31562])).
% 27.17/18.44 tff(31565,plain,
% 27.17/18.44 (~v88(constB41, bitIndex0)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31564, 7950, 5632])).
% 27.17/18.44 tff(31566,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31567,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31568,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB41, bitIndex1)) | v88(constB41, bitIndex1)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31567, 31566])).
% 27.17/18.44 tff(31569,plain,
% 27.17/18.44 (v88(constB41, bitIndex1)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31568, 8034, 5928])).
% 27.17/18.44 tff(31570,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31571,plain,
% 27.17/18.44 ((v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41)) <=> (v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31572,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41)))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31571])).
% 27.17/18.44 tff(31573,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31572, 31570])).
% 27.17/18.44 tff(31574,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex0) | v143(constB41))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31575,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | v143(constB41)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31574, 31573])).
% 27.17/18.44 tff(31576,plain,
% 27.17/18.44 (v143(constB41)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31575, 23093, 31569, 31565, 31561])).
% 27.17/18.44 tff(31577,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31578,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31579,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31578, 31577])).
% 27.17/18.44 tff(31580,plain,
% 27.17/18.44 (v142(constB41)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31579, 23075, 31576])).
% 27.17/18.44 tff(31581,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB41)) | v167(constB41))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB41)) | v167(constB41))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31582,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB41)) | v167(constB41))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31583,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB41)) | v167(constB41)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31582, 31581])).
% 27.17/18.44 tff(31584,plain,
% 27.17/18.44 (v167(constB41)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31583, 8073, 31580])).
% 27.17/18.44 tff(31585,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB41)) | (~v170(constB41)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB41)) | (~v170(constB41)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31586,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB41)) | (~v170(constB41)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31587,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB41)) | (~v170(constB41))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31586, 31585])).
% 27.17/18.44 tff(31588,plain,
% 27.17/18.44 (~v170(constB41)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31587, 8084, 31584])).
% 27.17/18.44 tff(31589,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB41) | (~v167(constB41)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB41) | (~v167(constB41)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31590,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB41) | (~v167(constB41)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31591,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB41) | (~v167(constB41))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31590, 31589])).
% 27.17/18.44 tff(31592,plain,
% 27.17/18.44 (v166(constB41)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31591, 8098, 31584])).
% 27.17/18.44 tff(31593,plain,
% 27.17/18.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB41)) | (~v166(constB41)) | v170(constB41))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31594,plain,
% 27.17/18.44 (((~v166(constB41)) | v170(constB41) | (~v163(constB41))) <=> ((~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31595,plain,
% 27.17/18.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB41)) | (~v166(constB41)) | v170(constB41)))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31594])).
% 27.17/18.44 tff(31596,plain,
% 27.17/18.44 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31595, 31593])).
% 27.17/18.44 tff(31597,plain,
% 27.17/18.44 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB41)) | v170(constB41) | (~v163(constB41)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31598,plain,
% 27.17/18.44 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB41)) | (~v166(constB41)) | v170(constB41)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31597, 31596])).
% 27.17/18.44 tff(31599,plain,
% 27.17/18.44 (~v163(constB41)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31598, 8112, 31592, 31588])).
% 27.17/18.44 tff(31600,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31601,plain,
% 27.17/18.44 (((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42))) <=> (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31602,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42))))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31601])).
% 27.17/18.44 tff(31603,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42)))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31602, 31600])).
% 27.17/18.44 tff(31604,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB41, constB42)) | v163(constB41) | (~v186(constB42)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31605,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB41) | (~nextState(constB41, constB42)) | (~v186(constB42))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31604, 31603])).
% 27.17/18.44 tff(31606,plain,
% 27.17/18.44 (v163(constB41) | (~v186(constB42))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31605, 19345, 5728])).
% 27.17/18.44 tff(31607,plain,
% 27.17/18.44 (~v186(constB42)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31606, 31599])).
% 27.17/18.44 tff(31608,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31609,plain,
% 27.17/18.44 (((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42)) <=> ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31610,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v181(constB42) | v104(constB42)))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31609])).
% 27.17/18.44 tff(31611,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31610, 31608])).
% 27.17/18.44 tff(31612,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | v181(constB42))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31613,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB41, constB42)) | v181(constB42) | v104(constB42)),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 27.17/18.44 tff(31614,plain,
% 27.17/18.44 (v181(constB42) | v104(constB42)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31613, 19367, 5728])).
% 27.17/18.44 tff(31615,plain,
% 27.17/18.44 (v181(constB42)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31614, 5740])).
% 27.17/18.44 tff(31616,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31617,plain,
% 27.17/18.44 (((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42))) <=> ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31618,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42))))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31617])).
% 27.17/18.44 tff(31619,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42)))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31618, 31616])).
% 27.17/18.44 tff(31620,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB41, constB42)) | (~v1(constB42)) | v180(constB42) | (~v181(constB42)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31621,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB41, constB42)) | v180(constB42) | (~v1(constB42)) | (~v181(constB42))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 27.17/18.44 tff(31622,plain,
% 27.17/18.44 (v180(constB42) | (~v181(constB42))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31621, 19385, 5728, 5751])).
% 27.17/18.44 tff(31623,plain,
% 27.17/18.44 (v180(constB42)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31622, 31615])).
% 27.17/18.44 tff(31624,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31625,plain,
% 27.17/18.44 (((~nextState(constB41, constB42)) | (~v180(constB42)) | v179(constB42)) <=> ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31626,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB41, constB42)) | (~v180(constB42)) | v179(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42))))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31625])).
% 27.17/18.44 tff(31627,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB41, constB42)) | (~v180(constB42)) | v179(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42)))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31626, 31624])).
% 27.17/18.44 tff(31628,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB41, constB42)) | (~v180(constB42)) | v179(constB42))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31629,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB41, constB42)) | v179(constB42) | (~v180(constB42))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31628, 31627])).
% 27.17/18.44 tff(31630,plain,
% 27.17/18.44 (v179(constB42) | (~v180(constB42))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31629, 19403, 5728])).
% 27.17/18.44 tff(31631,plain,
% 27.17/18.44 (v179(constB42)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31630, 31623])).
% 27.17/18.44 tff(31632,plain,
% 27.17/18.44 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB42) | (~v159(constB42)) | (~v179(constB42)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB42) | (~v159(constB42)) | (~v179(constB42)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31633,plain,
% 27.17/18.44 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB42) | (~v159(constB42)) | (~v179(constB42)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31634,plain,
% 27.17/18.44 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB42) | (~v159(constB42)) | (~v179(constB42))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 27.17/18.44 tff(31635,plain,
% 27.17/18.44 (v186(constB42) | (~v159(constB42))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31634, 19421, 31631])).
% 27.17/18.44 tff(31636,plain,
% 27.17/18.44 (~v159(constB42)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31635, 31607])).
% 27.17/18.44 tff(31637,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31638,plain,
% 27.17/18.44 (((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43))) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31639,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43))))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31638])).
% 27.17/18.44 tff(31640,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43)))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31639, 31637])).
% 27.17/18.44 tff(31641,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v1(constB43) | (~v180(constB43)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31642,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v180(constB43))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31641, 31640])).
% 27.17/18.44 tff(31643,plain,
% 27.17/18.44 (~v180(constB43)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31642, 19439, 5845, 5842])).
% 27.17/18.44 tff(31644,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31645,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31646,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB42, constB43)) | v180(constB43) | (~v179(constB43))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31645, 31644])).
% 27.17/18.44 tff(31647,plain,
% 27.17/18.44 (v180(constB43) | (~v179(constB43))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31646, 19456, 5845])).
% 27.17/18.44 tff(31648,plain,
% 27.17/18.44 (~v179(constB43)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31647, 31643])).
% 27.17/18.44 tff(31649,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31650,plain,
% 27.17/18.44 (((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43))) <=> (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31651,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43))))),
% 27.17/18.44 inference(monotonicity,[status(thm)],[31650])).
% 27.17/18.44 tff(31652,plain,
% 27.17/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43)))),
% 27.17/18.44 inference(transitivity,[status(thm)],[31651, 31649])).
% 27.17/18.44 tff(31653,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB42, constB43)) | v179(constB43) | v159(constB42) | (~v159(constB43)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31654,plain,
% 27.17/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB42) | (~nextState(constB42, constB43)) | v179(constB43) | (~v159(constB43))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31653, 31652])).
% 27.17/18.44 tff(31655,plain,
% 27.17/18.44 (v159(constB42) | v179(constB43) | (~v159(constB43))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31654, 19471, 5845])).
% 27.17/18.44 tff(31656,plain,
% 27.17/18.44 (v159(constB42) | (~v159(constB43))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31655, 31648])).
% 27.17/18.44 tff(31657,plain,
% 27.17/18.44 (~v159(constB43)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31656, 31636])).
% 27.17/18.44 tff(31658,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB43) | (~v201(constB43)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB43) | (~v201(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31659,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB43) | (~v201(constB43)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31660,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB43) | (~v201(constB43))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 27.17/18.44 tff(31661,plain,
% 27.17/18.44 (~v201(constB43)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31660, 19490, 31657])).
% 27.17/18.44 tff(31662,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB43) | (~v200(constB43)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB43) | (~v200(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31663,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB43) | (~v200(constB43)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31664,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB43) | (~v200(constB43))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 27.17/18.44 tff(31665,plain,
% 27.17/18.44 (~v200(constB43)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31664, 8143, 31661])).
% 27.17/18.44 tff(31666,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB43) | (~v198(constB43)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB43) | (~v198(constB43)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31667,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB43) | (~v198(constB43)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31668,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB43) | (~v198(constB43))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 27.17/18.44 tff(31669,plain,
% 27.17/18.44 (~v198(constB43)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31668, 8157, 31665])).
% 27.17/18.44 tff(31670,assumption,(v18(constB44)), introduced(assumption)).
% 27.17/18.44 tff(31671,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB44))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31672,plain,
% 27.17/18.44 ($false),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31671, 8, 31670])).
% 27.17/18.44 tff(31673,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.44 tff(31674,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31675,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31676,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31675, 31674])).
% 27.17/18.44 tff(31677,plain,
% 27.17/18.44 (v22(constB44)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31676, 24, 6109])).
% 27.17/18.44 tff(31678,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31679,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31680,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44))),
% 27.17/18.44 inference(modus_ponens,[status(thm)],[31679, 31678])).
% 27.17/18.44 tff(31681,plain,
% 27.17/18.44 (v18(constB44) | (~v19(constB44))),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31680, 38, 31677])).
% 27.17/18.44 tff(31682,plain,
% 27.17/18.44 (~v19(constB44)),
% 27.17/18.44 inference(unit_resolution,[status(thm)],[31681, 31673])).
% 27.17/18.44 tff(31683,plain,
% 27.17/18.44 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 27.17/18.44 inference(rewrite,[status(thm)],[])).
% 27.17/18.44 tff(31684,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 27.17/18.44 inference(quant_inst,[status(thm)],[])).
% 27.17/18.44 tff(31685,plain,
% 27.17/18.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31684, 31683])).
% 27.17/18.45 tff(31686,plain,
% 27.17/18.45 (v13(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31685, 50, 31682])).
% 27.17/18.45 tff(31687,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31688,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31689,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31688, 31687])).
% 27.17/18.45 tff(31690,plain,
% 27.17/18.45 (v9(constB43) | (~v13(constB44))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31689, 67, 6086])).
% 27.17/18.45 tff(31691,plain,
% 27.17/18.45 (v9(constB43)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31690, 31686])).
% 27.17/18.45 tff(31692,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v197(constB43))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB43) | (~v9(constB43)) | v197(constB43))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31693,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v197(constB43))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31694,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB43) | (~v9(constB43)) | v197(constB43)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 27.17/18.45 tff(31695,plain,
% 27.17/18.45 ((~v9(constB43)) | v197(constB43)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31694, 85, 5842])).
% 27.17/18.45 tff(31696,plain,
% 27.17/18.45 (v197(constB43)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31695, 31691])).
% 27.17/18.45 tff(31697,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB43)) | v196(constB43))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB43)) | v196(constB43))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31698,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB43)) | v196(constB43))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31699,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB43)) | v196(constB43)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 27.17/18.45 tff(31700,plain,
% 27.17/18.45 (v196(constB43)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31699, 97, 31696])).
% 27.17/18.45 tff(31701,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB43)) | (~v196(constB43)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB43)) | (~v196(constB43)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31702,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB43)) | (~v196(constB43)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31703,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB43)) | (~v196(constB43))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 27.17/18.45 tff(31704,plain,
% 27.17/18.45 (~v194(constB43)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31703, 108, 31700])).
% 27.17/18.45 tff(31705,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB43) | v198(constB43) | (~v191(constB43)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB43) | v198(constB43) | (~v191(constB43)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31706,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB43) | v198(constB43) | (~v191(constB43)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31707,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB43) | v198(constB43) | (~v191(constB43))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 27.17/18.45 tff(31708,plain,
% 27.17/18.45 (v198(constB43) | (~v191(constB43))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31707, 8171, 31704])).
% 27.17/18.45 tff(31709,plain,
% 27.17/18.45 (~v191(constB43)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31708, 31669])).
% 27.17/18.45 tff(31710,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31711,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31712,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB43, constB44)) | v191(constB43) | (~v193(constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 27.17/18.45 tff(31713,plain,
% 27.17/18.45 (v191(constB43) | (~v193(constB44))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31712, 8186, 6086])).
% 27.17/18.45 tff(31714,plain,
% 27.17/18.45 (~v193(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31713, 31709])).
% 27.17/18.45 tff(31715,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB44) | (~v194(constB44)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB44) | (~v194(constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31716,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB44) | (~v194(constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31717,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB44) | (~v194(constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31716, 31715])).
% 27.17/18.45 tff(31718,plain,
% 27.17/18.45 (~v194(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31717, 8201, 31714])).
% 27.17/18.45 tff(31719,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB44)) | (~v197(constB44)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB44)) | (~v197(constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31720,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB44)) | (~v197(constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31721,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB44)) | (~v197(constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31720, 31719])).
% 27.17/18.45 tff(31722,plain,
% 27.17/18.45 (~v197(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31721, 8215, 6109])).
% 27.17/18.45 tff(31723,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB44) | (~v200(constB44)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB44) | (~v200(constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31724,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB44) | (~v200(constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31725,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB44) | (~v200(constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31724, 31723])).
% 27.17/18.45 tff(31726,plain,
% 27.17/18.45 (~v200(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31725, 8229, 31722])).
% 27.17/18.45 tff(31727,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB44) | (~v198(constB44)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB44) | (~v198(constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31728,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB44) | (~v198(constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31729,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB44) | (~v198(constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31728, 31727])).
% 27.17/18.45 tff(31730,plain,
% 27.17/18.45 (~v198(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31729, 8157, 31726])).
% 27.17/18.45 tff(31731,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB44) | v198(constB44) | (~v191(constB44)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB44) | v198(constB44) | (~v191(constB44)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31732,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB44) | v198(constB44) | (~v191(constB44)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31733,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB44) | v198(constB44) | (~v191(constB44))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31732, 31731])).
% 27.17/18.45 tff(31734,plain,
% 27.17/18.45 (v194(constB44) | (~v191(constB44))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31733, 8171, 31730])).
% 27.17/18.45 tff(31735,plain,
% 27.17/18.45 (~v191(constB44)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31734, 31718])).
% 27.17/18.45 tff(31736,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31737,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31738,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB44, constB45)) | v191(constB44) | (~v193(constB45))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31737, 31736])).
% 27.17/18.45 tff(31739,plain,
% 27.17/18.45 (v191(constB44) | (~v193(constB45))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31738, 8186, 6154])).
% 27.17/18.45 tff(31740,plain,
% 27.17/18.45 (~v193(constB45)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31739, 31735])).
% 27.17/18.45 tff(31741,plain,
% 27.17/18.45 ($false),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31740, 31557])).
% 27.17/18.45 tff(31742,plain,(~(constB45 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.45 tff(31743,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.45 tff(31744,plain,
% 27.17/18.45 (v193(constB115) <=> v193(sK0_VarCurr)),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31743])).
% 27.17/18.45 tff(31745,plain,
% 27.17/18.45 (v193(sK0_VarCurr) <=> v193(constB115)),
% 27.17/18.45 inference(symmetry,[status(thm)],[31744])).
% 27.17/18.45 tff(31746,plain,
% 27.17/18.45 (v193(constB115)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[8270, 31745])).
% 27.17/18.45 tff(31747,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31748,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31749,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31748, 31747])).
% 27.17/18.45 tff(31750,plain,
% 27.17/18.45 (~v88(constB111, bitIndex2)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31749, 25366, 13778])).
% 27.17/18.45 tff(31751,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB111, bitIndex1)) | v90(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB111, bitIndex1)) | v90(constB111, bitIndex1))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31752,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB111, bitIndex1)) | v90(constB111, bitIndex1))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31753,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB111, bitIndex1)) | v90(constB111, bitIndex1)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 27.17/18.45 tff(31754,plain,
% 27.17/18.45 (~v88(constB111, bitIndex1)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31753, 25377, 13812])).
% 27.17/18.45 tff(31755,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31756,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31757,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 27.17/18.45 tff(31758,plain,
% 27.17/18.45 (v88(constB111, bitIndex0)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31757, 26352, 13843])).
% 27.17/18.45 tff(31759,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31760,plain,
% 27.17/18.45 ((v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111)) <=> (v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31761,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111)))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31760])).
% 27.17/18.45 tff(31762,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31761, 31759])).
% 27.17/18.45 tff(31763,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31764,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 27.17/18.45 tff(31765,plain,
% 27.17/18.45 (v140(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31764, 26773, 31758, 31754, 31750])).
% 27.17/18.45 tff(31766,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB111) | (~v140(constB111)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB111) | (~v140(constB111)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31767,plain,
% 27.17/18.45 (((~v140(constB111)) | v169(constB111)) <=> (v169(constB111) | (~v140(constB111)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31768,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB111)) | v169(constB111))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB111) | (~v140(constB111))))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31767])).
% 27.17/18.45 tff(31769,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB111)) | v169(constB111))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB111) | (~v140(constB111)))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31768, 31766])).
% 27.17/18.45 tff(31770,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB111)) | v169(constB111))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31771,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB111) | (~v140(constB111))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31770, 31769])).
% 27.17/18.45 tff(31772,plain,
% 27.17/18.45 (v169(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31771, 26787, 31765])).
% 27.17/18.45 tff(31773,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB111) | (~v169(constB111)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB111) | (~v169(constB111)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31774,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB111) | (~v169(constB111)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31775,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB111) | (~v169(constB111))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31774, 31773])).
% 27.17/18.45 tff(31776,plain,
% 27.17/18.45 (v168(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31775, 23060, 31772])).
% 27.17/18.45 tff(31777,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB111)) | v167(constB111))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB111)) | v167(constB111))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31778,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB111)) | v167(constB111))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31779,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB111)) | v167(constB111)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31778, 31777])).
% 27.17/18.45 tff(31780,plain,
% 27.17/18.45 (v167(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31779, 23043, 31776])).
% 27.17/18.45 tff(31781,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB111)) | (~v170(constB111)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB111)) | (~v170(constB111)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31782,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB111)) | (~v170(constB111)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31783,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB111)) | (~v170(constB111))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31782, 31781])).
% 27.17/18.45 tff(31784,plain,
% 27.17/18.45 (~v170(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31783, 8084, 31780])).
% 27.17/18.45 tff(31785,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB111) | (~v167(constB111)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB111) | (~v167(constB111)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31786,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB111) | (~v167(constB111)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31787,plain,
% 27.17/18.45 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB111) | (~v167(constB111))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31786, 31785])).
% 27.17/18.45 tff(31788,plain,
% 27.17/18.45 (v166(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31787, 8098, 31780])).
% 27.17/18.45 tff(31789,plain,
% 27.17/18.45 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB111)) | (~v166(constB111)) | v170(constB111))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB111)) | (~v166(constB111)) | v170(constB111))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31790,plain,
% 27.17/18.45 (((~v166(constB111)) | v170(constB111) | (~v163(constB111))) <=> ((~v163(constB111)) | (~v166(constB111)) | v170(constB111))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31791,plain,
% 27.17/18.45 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB111)) | v170(constB111) | (~v163(constB111)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB111)) | (~v166(constB111)) | v170(constB111)))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31790])).
% 27.17/18.45 tff(31792,plain,
% 27.17/18.45 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB111)) | v170(constB111) | (~v163(constB111)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB111)) | (~v166(constB111)) | v170(constB111))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31791, 31789])).
% 27.17/18.45 tff(31793,plain,
% 27.17/18.45 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB111)) | v170(constB111) | (~v163(constB111)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31794,plain,
% 27.17/18.45 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB111)) | (~v166(constB111)) | v170(constB111)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31793, 31792])).
% 27.17/18.45 tff(31795,plain,
% 27.17/18.45 (~v163(constB111)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31794, 8112, 31788, 31784])).
% 27.17/18.45 tff(31796,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB111) | (~nextState(constB111, constB112)) | (~v186(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB111) | (~nextState(constB111, constB112)) | (~v186(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31797,plain,
% 27.17/18.45 (((~nextState(constB111, constB112)) | v163(constB111) | (~v186(constB112))) <=> (v163(constB111) | (~nextState(constB111, constB112)) | (~v186(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31798,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB111, constB112)) | v163(constB111) | (~v186(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB111) | (~nextState(constB111, constB112)) | (~v186(constB112))))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31797])).
% 27.17/18.45 tff(31799,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB111, constB112)) | v163(constB111) | (~v186(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB111) | (~nextState(constB111, constB112)) | (~v186(constB112)))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31798, 31796])).
% 27.17/18.45 tff(31800,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB111, constB112)) | v163(constB111) | (~v186(constB112)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31801,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB111) | (~nextState(constB111, constB112)) | (~v186(constB112))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31800, 31799])).
% 27.17/18.45 tff(31802,plain,
% 27.17/18.45 (v163(constB111) | (~v186(constB112))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31801, 19345, 13862])).
% 27.17/18.45 tff(31803,plain,
% 27.17/18.45 (~v186(constB112)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31802, 31795])).
% 27.17/18.45 tff(31804,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB111, constB112)) | v181(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB111, constB112)) | v181(constB112) | v104(constB112))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31805,plain,
% 27.17/18.45 (((~nextState(constB111, constB112)) | v104(constB112) | v181(constB112)) <=> ((~nextState(constB111, constB112)) | v181(constB112) | v104(constB112))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31806,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v181(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB111, constB112)) | v181(constB112) | v104(constB112)))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31805])).
% 27.17/18.45 tff(31807,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v181(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB111, constB112)) | v181(constB112) | v104(constB112))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31806, 31804])).
% 27.17/18.45 tff(31808,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | v181(constB112))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31809,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB111, constB112)) | v181(constB112) | v104(constB112)),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 27.17/18.45 tff(31810,plain,
% 27.17/18.45 (v181(constB112) | v104(constB112)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31809, 19367, 13862])).
% 27.17/18.45 tff(31811,plain,
% 27.17/18.45 (v181(constB112)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31810, 13872])).
% 27.17/18.45 tff(31812,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB111, constB112)) | v180(constB112) | (~v1(constB112)) | (~v181(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB111, constB112)) | v180(constB112) | (~v1(constB112)) | (~v181(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31813,plain,
% 27.17/18.45 (((~nextState(constB111, constB112)) | (~v1(constB112)) | v180(constB112) | (~v181(constB112))) <=> ((~nextState(constB111, constB112)) | v180(constB112) | (~v1(constB112)) | (~v181(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31814,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v180(constB112) | (~v181(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB111, constB112)) | v180(constB112) | (~v1(constB112)) | (~v181(constB112))))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31813])).
% 27.17/18.45 tff(31815,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v180(constB112) | (~v181(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB111, constB112)) | v180(constB112) | (~v1(constB112)) | (~v181(constB112)))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31814, 31812])).
% 27.17/18.45 tff(31816,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB111, constB112)) | (~v1(constB112)) | v180(constB112) | (~v181(constB112)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31817,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB111, constB112)) | v180(constB112) | (~v1(constB112)) | (~v181(constB112))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 27.17/18.45 tff(31818,plain,
% 27.17/18.45 (v180(constB112) | (~v181(constB112))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31817, 19385, 13862, 13883])).
% 27.17/18.45 tff(31819,plain,
% 27.17/18.45 (v180(constB112)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31818, 31811])).
% 27.17/18.45 tff(31820,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB111, constB112)) | v179(constB112) | (~v180(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB111, constB112)) | v179(constB112) | (~v180(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31821,plain,
% 27.17/18.45 (((~nextState(constB111, constB112)) | (~v180(constB112)) | v179(constB112)) <=> ((~nextState(constB111, constB112)) | v179(constB112) | (~v180(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31822,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB111, constB112)) | (~v180(constB112)) | v179(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB111, constB112)) | v179(constB112) | (~v180(constB112))))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31821])).
% 27.17/18.45 tff(31823,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB111, constB112)) | (~v180(constB112)) | v179(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB111, constB112)) | v179(constB112) | (~v180(constB112)))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31822, 31820])).
% 27.17/18.45 tff(31824,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB111, constB112)) | (~v180(constB112)) | v179(constB112))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31825,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB111, constB112)) | v179(constB112) | (~v180(constB112))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31824, 31823])).
% 27.17/18.45 tff(31826,plain,
% 27.17/18.45 (v179(constB112) | (~v180(constB112))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31825, 19403, 13862])).
% 27.17/18.45 tff(31827,plain,
% 27.17/18.45 (v179(constB112)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31826, 31819])).
% 27.17/18.45 tff(31828,plain,
% 27.17/18.45 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB112) | (~v159(constB112)) | (~v179(constB112)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB112) | (~v159(constB112)) | (~v179(constB112)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31829,plain,
% 27.17/18.45 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB112) | (~v159(constB112)) | (~v179(constB112)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31830,plain,
% 27.17/18.45 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB112) | (~v159(constB112)) | (~v179(constB112))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 27.17/18.45 tff(31831,plain,
% 27.17/18.45 (v186(constB112) | (~v159(constB112))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31830, 19421, 31827])).
% 27.17/18.45 tff(31832,plain,
% 27.17/18.45 (~v159(constB112)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31831, 31803])).
% 27.17/18.45 tff(31833,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v180(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v180(constB113)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31834,plain,
% 27.17/18.45 (((~nextState(constB112, constB113)) | v1(constB113) | (~v180(constB113))) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v180(constB113)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31835,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB112, constB113)) | v1(constB113) | (~v180(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v180(constB113))))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31834])).
% 27.17/18.45 tff(31836,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB112, constB113)) | v1(constB113) | (~v180(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v180(constB113)))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31835, 31833])).
% 27.17/18.45 tff(31837,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB112, constB113)) | v1(constB113) | (~v180(constB113)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31838,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v180(constB113))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31837, 31836])).
% 27.17/18.45 tff(31839,plain,
% 27.17/18.45 (~v180(constB113)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31838, 19439, 14137, 14134])).
% 27.17/18.45 tff(31840,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB112, constB113)) | v180(constB113) | (~v179(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB112, constB113)) | v180(constB113) | (~v179(constB113)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31841,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB112, constB113)) | v180(constB113) | (~v179(constB113)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31842,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB112, constB113)) | v180(constB113) | (~v179(constB113))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31841, 31840])).
% 27.17/18.45 tff(31843,plain,
% 27.17/18.45 (v180(constB113) | (~v179(constB113))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31842, 19456, 14137])).
% 27.17/18.45 tff(31844,plain,
% 27.17/18.45 (~v179(constB113)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31843, 31839])).
% 27.17/18.45 tff(31845,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB112) | (~nextState(constB112, constB113)) | v179(constB113) | (~v159(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB112) | (~nextState(constB112, constB113)) | v179(constB113) | (~v159(constB113)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31846,plain,
% 27.17/18.45 (((~nextState(constB112, constB113)) | v179(constB113) | v159(constB112) | (~v159(constB113))) <=> (v159(constB112) | (~nextState(constB112, constB113)) | v179(constB113) | (~v159(constB113)))),
% 27.17/18.45 inference(rewrite,[status(thm)],[])).
% 27.17/18.45 tff(31847,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB112, constB113)) | v179(constB113) | v159(constB112) | (~v159(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB112) | (~nextState(constB112, constB113)) | v179(constB113) | (~v159(constB113))))),
% 27.17/18.45 inference(monotonicity,[status(thm)],[31846])).
% 27.17/18.45 tff(31848,plain,
% 27.17/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB112, constB113)) | v179(constB113) | v159(constB112) | (~v159(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB112) | (~nextState(constB112, constB113)) | v179(constB113) | (~v159(constB113)))),
% 27.17/18.45 inference(transitivity,[status(thm)],[31847, 31845])).
% 27.17/18.45 tff(31849,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB112, constB113)) | v179(constB113) | v159(constB112) | (~v159(constB113)))),
% 27.17/18.45 inference(quant_inst,[status(thm)],[])).
% 27.17/18.45 tff(31850,plain,
% 27.17/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB112) | (~nextState(constB112, constB113)) | v179(constB113) | (~v159(constB113))),
% 27.17/18.45 inference(modus_ponens,[status(thm)],[31849, 31848])).
% 27.17/18.45 tff(31851,plain,
% 27.17/18.45 (v159(constB112) | v179(constB113) | (~v159(constB113))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31850, 19471, 14137])).
% 27.17/18.45 tff(31852,plain,
% 27.17/18.45 (v159(constB112) | (~v159(constB113))),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31851, 31844])).
% 27.17/18.45 tff(31853,plain,
% 27.17/18.45 (~v159(constB113)),
% 27.17/18.45 inference(unit_resolution,[status(thm)],[31852, 31832])).
% 27.17/18.45 tff(31854,plain,
% 27.17/18.45 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB113) | (~v201(constB113)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB113) | (~v201(constB113)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31855,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB113) | (~v201(constB113)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31856,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB113) | (~v201(constB113))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 27.17/18.46 tff(31857,plain,
% 27.17/18.46 (~v201(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31856, 19490, 31853])).
% 27.17/18.46 tff(31858,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB113) | (~v200(constB113)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB113) | (~v200(constB113)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31859,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB113) | (~v200(constB113)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31860,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB113) | (~v200(constB113))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 27.17/18.46 tff(31861,plain,
% 27.17/18.46 (~v200(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31860, 8143, 31857])).
% 27.17/18.46 tff(31862,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB113) | (~v198(constB113)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB113) | (~v198(constB113)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31863,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB113) | (~v198(constB113)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31864,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB113) | (~v198(constB113))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 27.17/18.46 tff(31865,plain,
% 27.17/18.46 (~v198(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31864, 8157, 31861])).
% 27.17/18.46 tff(31866,assumption,(v18(constB114)), introduced(assumption)).
% 27.17/18.46 tff(31867,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB114))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31868,plain,
% 27.17/18.46 ($false),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31867, 8, 31866])).
% 27.17/18.46 tff(31869,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.46 tff(31870,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31871,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31872,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31871, 31870])).
% 27.17/18.46 tff(31873,plain,
% 27.17/18.46 (v22(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31872, 24, 14303])).
% 27.17/18.46 tff(31874,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31875,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31876,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 27.17/18.46 tff(31877,plain,
% 27.17/18.46 (v18(constB114) | (~v19(constB114))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31876, 38, 31873])).
% 27.17/18.46 tff(31878,plain,
% 27.17/18.46 (~v19(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31877, 31869])).
% 27.17/18.46 tff(31879,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31880,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31881,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31880, 31879])).
% 27.17/18.46 tff(31882,plain,
% 27.17/18.46 (v13(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31881, 50, 31878])).
% 27.17/18.46 tff(31883,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31884,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31885,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31884, 31883])).
% 27.17/18.46 tff(31886,plain,
% 27.17/18.46 (v9(constB113) | (~v13(constB114))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31885, 67, 14280])).
% 27.17/18.46 tff(31887,plain,
% 27.17/18.46 (v9(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31886, 31882])).
% 27.17/18.46 tff(31888,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v197(constB113))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB113) | (~v9(constB113)) | v197(constB113))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31889,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v197(constB113))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31890,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB113) | (~v9(constB113)) | v197(constB113)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31889, 31888])).
% 27.17/18.46 tff(31891,plain,
% 27.17/18.46 ((~v9(constB113)) | v197(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31890, 85, 14134])).
% 27.17/18.46 tff(31892,plain,
% 27.17/18.46 (v197(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31891, 31887])).
% 27.17/18.46 tff(31893,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB113)) | v196(constB113))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB113)) | v196(constB113))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31894,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB113)) | v196(constB113))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31895,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB113)) | v196(constB113)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31894, 31893])).
% 27.17/18.46 tff(31896,plain,
% 27.17/18.46 (v196(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31895, 97, 31892])).
% 27.17/18.46 tff(31897,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB113)) | (~v196(constB113)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB113)) | (~v196(constB113)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31898,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB113)) | (~v196(constB113)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31899,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB113)) | (~v196(constB113))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31898, 31897])).
% 27.17/18.46 tff(31900,plain,
% 27.17/18.46 (~v194(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31899, 108, 31896])).
% 27.17/18.46 tff(31901,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB113) | v198(constB113) | (~v191(constB113)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB113) | v198(constB113) | (~v191(constB113)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31902,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB113) | v198(constB113) | (~v191(constB113)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31903,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB113) | v198(constB113) | (~v191(constB113))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31902, 31901])).
% 27.17/18.46 tff(31904,plain,
% 27.17/18.46 (v198(constB113) | (~v191(constB113))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31903, 8171, 31900])).
% 27.17/18.46 tff(31905,plain,
% 27.17/18.46 (~v191(constB113)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31904, 31865])).
% 27.17/18.46 tff(31906,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB113, constB114)) | v191(constB113) | (~v193(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB113, constB114)) | v191(constB113) | (~v193(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31907,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB113, constB114)) | v191(constB113) | (~v193(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31908,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB113, constB114)) | v191(constB113) | (~v193(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31907, 31906])).
% 27.17/18.46 tff(31909,plain,
% 27.17/18.46 (v191(constB113) | (~v193(constB114))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31908, 8186, 14280])).
% 27.17/18.46 tff(31910,plain,
% 27.17/18.46 (~v193(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31909, 31905])).
% 27.17/18.46 tff(31911,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB114) | (~v194(constB114)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB114) | (~v194(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31912,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB114) | (~v194(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31913,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB114) | (~v194(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31912, 31911])).
% 27.17/18.46 tff(31914,plain,
% 27.17/18.46 (~v194(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31913, 8201, 31910])).
% 27.17/18.46 tff(31915,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB114)) | (~v197(constB114)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB114)) | (~v197(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31916,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB114)) | (~v197(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31917,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB114)) | (~v197(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31916, 31915])).
% 27.17/18.46 tff(31918,plain,
% 27.17/18.46 (~v197(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31917, 8215, 14303])).
% 27.17/18.46 tff(31919,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB114) | (~v200(constB114)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB114) | (~v200(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31920,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB114) | (~v200(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31921,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB114) | (~v200(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31920, 31919])).
% 27.17/18.46 tff(31922,plain,
% 27.17/18.46 (~v200(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31921, 8229, 31918])).
% 27.17/18.46 tff(31923,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB114) | (~v198(constB114)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB114) | (~v198(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31924,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB114) | (~v198(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31925,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB114) | (~v198(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31924, 31923])).
% 27.17/18.46 tff(31926,plain,
% 27.17/18.46 (~v198(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31925, 8157, 31922])).
% 27.17/18.46 tff(31927,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB114) | v198(constB114) | (~v191(constB114)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB114) | v198(constB114) | (~v191(constB114)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31928,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB114) | v198(constB114) | (~v191(constB114)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31929,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB114) | v198(constB114) | (~v191(constB114))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31928, 31927])).
% 27.17/18.46 tff(31930,plain,
% 27.17/18.46 (v194(constB114) | (~v191(constB114))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31929, 8171, 31926])).
% 27.17/18.46 tff(31931,plain,
% 27.17/18.46 (~v191(constB114)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31930, 31914])).
% 27.17/18.46 tff(31932,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB114, constB115)) | v191(constB114) | (~v193(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB114, constB115)) | v191(constB114) | (~v193(constB115)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31933,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB114, constB115)) | v191(constB114) | (~v193(constB115)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31934,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB114, constB115)) | v191(constB114) | (~v193(constB115))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 27.17/18.46 tff(31935,plain,
% 27.17/18.46 (v191(constB114) | (~v193(constB115))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31934, 8186, 14348])).
% 27.17/18.46 tff(31936,plain,
% 27.17/18.46 (~v193(constB115)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31935, 31931])).
% 27.17/18.46 tff(31937,plain,
% 27.17/18.46 ($false),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31936, 31746])).
% 27.17/18.46 tff(31938,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.46 tff(31939,assumption,(constB189 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.46 tff(31940,plain,
% 27.17/18.46 (v193(constB189) <=> v193(sK0_VarCurr)),
% 27.17/18.46 inference(monotonicity,[status(thm)],[31939])).
% 27.17/18.46 tff(31941,plain,
% 27.17/18.46 (v193(sK0_VarCurr) <=> v193(constB189)),
% 27.17/18.46 inference(symmetry,[status(thm)],[31940])).
% 27.17/18.46 tff(31942,plain,
% 27.17/18.46 (v193(constB189)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[8270, 31941])).
% 27.17/18.46 tff(31943,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31944,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31945,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31944, 31943])).
% 27.17/18.46 tff(31946,plain,
% 27.17/18.46 (~v88(constB185, bitIndex2)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31945, 25366, 23970])).
% 27.17/18.46 tff(31947,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31948,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31949,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31948, 31947])).
% 27.17/18.46 tff(31950,plain,
% 27.17/18.46 (~v88(constB185, bitIndex0)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31949, 7950, 24035])).
% 27.17/18.46 tff(31951,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31952,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31953,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31952, 31951])).
% 27.17/18.46 tff(31954,plain,
% 27.17/18.46 (v88(constB185, bitIndex1)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31953, 8034, 24001])).
% 27.17/18.46 tff(31955,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31956,plain,
% 27.17/18.46 ((v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185)) <=> (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31957,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185)))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[31956])).
% 27.17/18.46 tff(31958,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185))),
% 27.17/18.46 inference(transitivity,[status(thm)],[31957, 31955])).
% 27.17/18.46 tff(31959,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v143(constB185))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31960,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)) | v143(constB185)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31959, 31958])).
% 27.17/18.46 tff(31961,plain,
% 27.17/18.46 (v143(constB185)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31960, 23093, 31954, 31950, 31946])).
% 27.17/18.46 tff(31962,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB185) | (~v143(constB185)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB185) | (~v143(constB185)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31963,plain,
% 27.17/18.46 (((~v143(constB185)) | v142(constB185)) <=> (v142(constB185) | (~v143(constB185)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31964,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB185) | (~v143(constB185))))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[31963])).
% 27.17/18.46 tff(31965,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB185) | (~v143(constB185)))),
% 27.17/18.46 inference(transitivity,[status(thm)],[31964, 31962])).
% 27.17/18.46 tff(31966,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31967,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB185) | (~v143(constB185))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31966, 31965])).
% 27.17/18.46 tff(31968,plain,
% 27.17/18.46 (v142(constB185)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31967, 23075, 31961])).
% 27.17/18.46 tff(31969,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB185) | (~v142(constB185)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31970,plain,
% 27.17/18.46 (((~v142(constB185)) | v167(constB185)) <=> (v167(constB185) | (~v142(constB185)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31971,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB185)) | v167(constB185))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (v167(constB185) | (~v142(constB185))))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[31970])).
% 27.17/18.46 tff(31972,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB185)) | v167(constB185))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB185) | (~v142(constB185)))),
% 27.17/18.46 inference(transitivity,[status(thm)],[31971, 31969])).
% 27.17/18.46 tff(31973,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB185)) | v167(constB185))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31974,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | v167(constB185) | (~v142(constB185))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 27.17/18.46 tff(31975,plain,
% 27.17/18.46 (v167(constB185)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31974, 8073, 31968])).
% 27.17/18.46 tff(31976,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB185)) | (~v170(constB185)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB185)) | (~v170(constB185)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31977,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB185)) | (~v170(constB185)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31978,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB185)) | (~v170(constB185))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 27.17/18.46 tff(31979,plain,
% 27.17/18.46 (~v170(constB185)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31978, 8084, 31975])).
% 27.17/18.46 tff(31980,plain,
% 27.17/18.46 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB185) | (~v167(constB185)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB185) | (~v167(constB185)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31981,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB185) | (~v167(constB185)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31982,plain,
% 27.17/18.46 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB185) | (~v167(constB185))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31981, 31980])).
% 27.17/18.46 tff(31983,plain,
% 27.17/18.46 (v166(constB185)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31982, 8098, 31975])).
% 27.17/18.46 tff(31984,plain,
% 27.17/18.46 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB185)) | (~v166(constB185)) | v170(constB185))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB185)) | (~v166(constB185)) | v170(constB185))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31985,plain,
% 27.17/18.46 (((~v166(constB185)) | v170(constB185) | (~v163(constB185))) <=> ((~v163(constB185)) | (~v166(constB185)) | v170(constB185))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31986,plain,
% 27.17/18.46 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB185)) | v170(constB185) | (~v163(constB185)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB185)) | (~v166(constB185)) | v170(constB185)))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[31985])).
% 27.17/18.46 tff(31987,plain,
% 27.17/18.46 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB185)) | v170(constB185) | (~v163(constB185)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB185)) | (~v166(constB185)) | v170(constB185))),
% 27.17/18.46 inference(transitivity,[status(thm)],[31986, 31984])).
% 27.17/18.46 tff(31988,plain,
% 27.17/18.46 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB185)) | v170(constB185) | (~v163(constB185)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31989,plain,
% 27.17/18.46 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB185)) | (~v166(constB185)) | v170(constB185)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31988, 31987])).
% 27.17/18.46 tff(31990,plain,
% 27.17/18.46 (~v163(constB185)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31989, 8112, 31983, 31979])).
% 27.17/18.46 tff(31991,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB185) | (~nextState(constB185, constB186)) | (~v186(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB185) | (~nextState(constB185, constB186)) | (~v186(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31992,plain,
% 27.17/18.46 (((~nextState(constB185, constB186)) | v163(constB185) | (~v186(constB186))) <=> (v163(constB185) | (~nextState(constB185, constB186)) | (~v186(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(31993,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB185, constB186)) | v163(constB185) | (~v186(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB185) | (~nextState(constB185, constB186)) | (~v186(constB186))))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[31992])).
% 27.17/18.46 tff(31994,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB185, constB186)) | v163(constB185) | (~v186(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB185) | (~nextState(constB185, constB186)) | (~v186(constB186)))),
% 27.17/18.46 inference(transitivity,[status(thm)],[31993, 31991])).
% 27.17/18.46 tff(31995,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB185, constB186)) | v163(constB185) | (~v186(constB186)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(31996,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB185) | (~nextState(constB185, constB186)) | (~v186(constB186))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[31995, 31994])).
% 27.17/18.46 tff(31997,plain,
% 27.17/18.46 (v163(constB185) | (~v186(constB186))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31996, 19345, 24090])).
% 27.17/18.46 tff(31998,plain,
% 27.17/18.46 (~v186(constB186)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[31997, 31990])).
% 27.17/18.46 tff(31999,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB185, constB186)) | v181(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB185, constB186)) | v181(constB186) | v104(constB186))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32000,plain,
% 27.17/18.46 (((~nextState(constB185, constB186)) | v104(constB186) | v181(constB186)) <=> ((~nextState(constB185, constB186)) | v181(constB186) | v104(constB186))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32001,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v181(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB185, constB186)) | v181(constB186) | v104(constB186)))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[32000])).
% 27.17/18.46 tff(32002,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v181(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB185, constB186)) | v181(constB186) | v104(constB186))),
% 27.17/18.46 inference(transitivity,[status(thm)],[32001, 31999])).
% 27.17/18.46 tff(32003,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | v181(constB186))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(32004,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB185, constB186)) | v181(constB186) | v104(constB186)),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[32003, 32002])).
% 27.17/18.46 tff(32005,plain,
% 27.17/18.46 (v181(constB186) | v104(constB186)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32004, 19367, 24090])).
% 27.17/18.46 tff(32006,plain,
% 27.17/18.46 (v181(constB186)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32005, 24102])).
% 27.17/18.46 tff(32007,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB185, constB186)) | v180(constB186) | (~v1(constB186)) | (~v181(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB185, constB186)) | v180(constB186) | (~v1(constB186)) | (~v181(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32008,plain,
% 27.17/18.46 (((~nextState(constB185, constB186)) | (~v1(constB186)) | v180(constB186) | (~v181(constB186))) <=> ((~nextState(constB185, constB186)) | v180(constB186) | (~v1(constB186)) | (~v181(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32009,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v180(constB186) | (~v181(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB185, constB186)) | v180(constB186) | (~v1(constB186)) | (~v181(constB186))))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[32008])).
% 27.17/18.46 tff(32010,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v180(constB186) | (~v181(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB185, constB186)) | v180(constB186) | (~v1(constB186)) | (~v181(constB186)))),
% 27.17/18.46 inference(transitivity,[status(thm)],[32009, 32007])).
% 27.17/18.46 tff(32011,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB185, constB186)) | (~v1(constB186)) | v180(constB186) | (~v181(constB186)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(32012,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB185, constB186)) | v180(constB186) | (~v1(constB186)) | (~v181(constB186))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[32011, 32010])).
% 27.17/18.46 tff(32013,plain,
% 27.17/18.46 (v180(constB186) | (~v181(constB186))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32012, 19385, 24090, 24113])).
% 27.17/18.46 tff(32014,plain,
% 27.17/18.46 (v180(constB186)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32013, 32006])).
% 27.17/18.46 tff(32015,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB185, constB186)) | v179(constB186) | (~v180(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB185, constB186)) | v179(constB186) | (~v180(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32016,plain,
% 27.17/18.46 (((~nextState(constB185, constB186)) | (~v180(constB186)) | v179(constB186)) <=> ((~nextState(constB185, constB186)) | v179(constB186) | (~v180(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32017,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB185, constB186)) | (~v180(constB186)) | v179(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB185, constB186)) | v179(constB186) | (~v180(constB186))))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[32016])).
% 27.17/18.46 tff(32018,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB185, constB186)) | (~v180(constB186)) | v179(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB185, constB186)) | v179(constB186) | (~v180(constB186)))),
% 27.17/18.46 inference(transitivity,[status(thm)],[32017, 32015])).
% 27.17/18.46 tff(32019,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB185, constB186)) | (~v180(constB186)) | v179(constB186))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(32020,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB185, constB186)) | v179(constB186) | (~v180(constB186))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[32019, 32018])).
% 27.17/18.46 tff(32021,plain,
% 27.17/18.46 (v179(constB186) | (~v180(constB186))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32020, 19403, 24090])).
% 27.17/18.46 tff(32022,plain,
% 27.17/18.46 (v179(constB186)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32021, 32014])).
% 27.17/18.46 tff(32023,plain,
% 27.17/18.46 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB186) | (~v159(constB186)) | (~v179(constB186)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB186) | (~v159(constB186)) | (~v179(constB186)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32024,plain,
% 27.17/18.46 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB186) | (~v159(constB186)) | (~v179(constB186)))),
% 27.17/18.46 inference(quant_inst,[status(thm)],[])).
% 27.17/18.46 tff(32025,plain,
% 27.17/18.46 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB186) | (~v159(constB186)) | (~v179(constB186))),
% 27.17/18.46 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 27.17/18.46 tff(32026,plain,
% 27.17/18.46 (v186(constB186) | (~v159(constB186))),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32025, 19421, 32022])).
% 27.17/18.46 tff(32027,plain,
% 27.17/18.46 (~v159(constB186)),
% 27.17/18.46 inference(unit_resolution,[status(thm)],[32026, 31998])).
% 27.17/18.46 tff(32028,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v180(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v180(constB187)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32029,plain,
% 27.17/18.46 (((~nextState(constB186, constB187)) | v1(constB187) | (~v180(constB187))) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v180(constB187)))),
% 27.17/18.46 inference(rewrite,[status(thm)],[])).
% 27.17/18.46 tff(32030,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v1(constB187) | (~v180(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v180(constB187))))),
% 27.17/18.46 inference(monotonicity,[status(thm)],[32029])).
% 27.17/18.46 tff(32031,plain,
% 27.17/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v1(constB187) | (~v180(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v180(constB187)))),
% 27.17/18.46 inference(transitivity,[status(thm)],[32030, 32028])).
% 27.17/18.46 tff(32032,plain,
% 27.17/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v1(constB187) | (~v180(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32033,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v180(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32032, 32031])).
% 27.17/18.47 tff(32034,plain,
% 27.17/18.47 (~v180(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32033, 19439, 24158, 24155])).
% 27.17/18.47 tff(32035,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB186, constB187)) | v180(constB187) | (~v179(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB186, constB187)) | v180(constB187) | (~v179(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32036,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB186, constB187)) | v180(constB187) | (~v179(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32037,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB186, constB187)) | v180(constB187) | (~v179(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32036, 32035])).
% 27.17/18.47 tff(32038,plain,
% 27.17/18.47 (v180(constB187) | (~v179(constB187))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32037, 19456, 24158])).
% 27.17/18.47 tff(32039,plain,
% 27.17/18.47 (~v179(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32038, 32034])).
% 27.17/18.47 tff(32040,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB186) | (~nextState(constB186, constB187)) | v179(constB187) | (~v159(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB186) | (~nextState(constB186, constB187)) | v179(constB187) | (~v159(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32041,plain,
% 27.17/18.47 (((~nextState(constB186, constB187)) | v179(constB187) | v159(constB186) | (~v159(constB187))) <=> (v159(constB186) | (~nextState(constB186, constB187)) | v179(constB187) | (~v159(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32042,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB186, constB187)) | v179(constB187) | v159(constB186) | (~v159(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB186) | (~nextState(constB186, constB187)) | v179(constB187) | (~v159(constB187))))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32041])).
% 27.17/18.47 tff(32043,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB186, constB187)) | v179(constB187) | v159(constB186) | (~v159(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB186) | (~nextState(constB186, constB187)) | v179(constB187) | (~v159(constB187)))),
% 27.17/18.47 inference(transitivity,[status(thm)],[32042, 32040])).
% 27.17/18.47 tff(32044,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB186, constB187)) | v179(constB187) | v159(constB186) | (~v159(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32045,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB186) | (~nextState(constB186, constB187)) | v179(constB187) | (~v159(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32044, 32043])).
% 27.17/18.47 tff(32046,plain,
% 27.17/18.47 (v159(constB186) | v179(constB187) | (~v159(constB187))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32045, 19471, 24158])).
% 27.17/18.47 tff(32047,plain,
% 27.17/18.47 (v159(constB186) | (~v159(constB187))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32046, 32039])).
% 27.17/18.47 tff(32048,plain,
% 27.17/18.47 (~v159(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32047, 32027])).
% 27.17/18.47 tff(32049,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB187) | (~v201(constB187)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB187) | (~v201(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32050,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB187) | (~v201(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32051,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB187) | (~v201(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 27.17/18.47 tff(32052,plain,
% 27.17/18.47 (~v201(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32051, 19490, 32048])).
% 27.17/18.47 tff(32053,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB187) | (~v200(constB187)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB187) | (~v200(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32054,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB187) | (~v200(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32055,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB187) | (~v200(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 27.17/18.47 tff(32056,plain,
% 27.17/18.47 (~v200(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32055, 8143, 32052])).
% 27.17/18.47 tff(32057,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB187) | (~v198(constB187)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB187) | (~v198(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32058,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB187) | (~v198(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32059,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB187) | (~v198(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 27.17/18.47 tff(32060,plain,
% 27.17/18.47 (~v198(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32059, 8157, 32056])).
% 27.17/18.47 tff(32061,assumption,(v18(constB188)), introduced(assumption)).
% 27.17/18.47 tff(32062,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB188))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32063,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32062, 8, 32061])).
% 27.17/18.47 tff(32064,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32065,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32066,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32067,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32066, 32065])).
% 27.17/18.47 tff(32068,plain,
% 27.17/18.47 (v22(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32067, 24, 24351])).
% 27.17/18.47 tff(32069,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32070,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32071,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32070, 32069])).
% 27.17/18.47 tff(32072,plain,
% 27.17/18.47 (v18(constB188) | (~v19(constB188))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32071, 38, 32068])).
% 27.17/18.47 tff(32073,plain,
% 27.17/18.47 (~v19(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32072, 32064])).
% 27.17/18.47 tff(32074,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32075,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32076,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 27.17/18.47 tff(32077,plain,
% 27.17/18.47 (v13(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32076, 50, 32073])).
% 27.17/18.47 tff(32078,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32079,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32080,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 27.17/18.47 tff(32081,plain,
% 27.17/18.47 (v9(constB187) | (~v13(constB188))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32080, 67, 24328])).
% 27.17/18.47 tff(32082,plain,
% 27.17/18.47 (v9(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32081, 32077])).
% 27.17/18.47 tff(32083,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v197(constB187))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB187) | (~v9(constB187)) | v197(constB187))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32084,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v197(constB187))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32085,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB187) | (~v9(constB187)) | v197(constB187)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32084, 32083])).
% 27.17/18.47 tff(32086,plain,
% 27.17/18.47 ((~v9(constB187)) | v197(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32085, 85, 24155])).
% 27.17/18.47 tff(32087,plain,
% 27.17/18.47 (v197(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32086, 32082])).
% 27.17/18.47 tff(32088,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB187) | (~v197(constB187)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB187) | (~v197(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32089,plain,
% 27.17/18.47 (((~v197(constB187)) | v196(constB187)) <=> (v196(constB187) | (~v197(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32090,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB187)) | v196(constB187))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB187) | (~v197(constB187))))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32089])).
% 27.17/18.47 tff(32091,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB187)) | v196(constB187))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB187) | (~v197(constB187)))),
% 27.17/18.47 inference(transitivity,[status(thm)],[32090, 32088])).
% 27.17/18.47 tff(32092,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB187)) | v196(constB187))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32093,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB187) | (~v197(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32092, 32091])).
% 27.17/18.47 tff(32094,plain,
% 27.17/18.47 (v196(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32093, 97, 32087])).
% 27.17/18.47 tff(32095,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB187)) | (~v196(constB187)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB187)) | (~v196(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32096,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB187)) | (~v196(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32097,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB187)) | (~v196(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32096, 32095])).
% 27.17/18.47 tff(32098,plain,
% 27.17/18.47 (~v194(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32097, 108, 32094])).
% 27.17/18.47 tff(32099,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB187) | v198(constB187) | (~v191(constB187)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB187) | v198(constB187) | (~v191(constB187)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32100,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB187) | v198(constB187) | (~v191(constB187)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32101,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB187) | v198(constB187) | (~v191(constB187))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32100, 32099])).
% 27.17/18.47 tff(32102,plain,
% 27.17/18.47 (v198(constB187) | (~v191(constB187))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32101, 8171, 32098])).
% 27.17/18.47 tff(32103,plain,
% 27.17/18.47 (~v191(constB187)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32102, 32060])).
% 27.17/18.47 tff(32104,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB187, constB188)) | v191(constB187) | (~v193(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB187, constB188)) | v191(constB187) | (~v193(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32105,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB187, constB188)) | v191(constB187) | (~v193(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32106,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB187, constB188)) | v191(constB187) | (~v193(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32105, 32104])).
% 27.17/18.47 tff(32107,plain,
% 27.17/18.47 (v191(constB187) | (~v193(constB188))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32106, 8186, 24328])).
% 27.17/18.47 tff(32108,plain,
% 27.17/18.47 (~v193(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32107, 32103])).
% 27.17/18.47 tff(32109,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB188) | (~v194(constB188)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB188) | (~v194(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32110,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB188) | (~v194(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32111,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB188) | (~v194(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32110, 32109])).
% 27.17/18.47 tff(32112,plain,
% 27.17/18.47 (~v194(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32111, 8201, 32108])).
% 27.17/18.47 tff(32113,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB188)) | (~v197(constB188)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB188)) | (~v197(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32114,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB188)) | (~v197(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32115,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB188)) | (~v197(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32114, 32113])).
% 27.17/18.47 tff(32116,plain,
% 27.17/18.47 (~v197(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32115, 8215, 24351])).
% 27.17/18.47 tff(32117,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB188) | (~v200(constB188)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB188) | (~v200(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32118,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB188) | (~v200(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32119,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB188) | (~v200(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32118, 32117])).
% 27.17/18.47 tff(32120,plain,
% 27.17/18.47 (~v200(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32119, 8229, 32116])).
% 27.17/18.47 tff(32121,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB188) | (~v198(constB188)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB188) | (~v198(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32122,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB188) | (~v198(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32123,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB188) | (~v198(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32122, 32121])).
% 27.17/18.47 tff(32124,plain,
% 27.17/18.47 (~v198(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32123, 8157, 32120])).
% 27.17/18.47 tff(32125,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB188) | v198(constB188) | (~v191(constB188)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB188) | v198(constB188) | (~v191(constB188)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32126,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB188) | v198(constB188) | (~v191(constB188)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32127,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB188) | v198(constB188) | (~v191(constB188))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32126, 32125])).
% 27.17/18.47 tff(32128,plain,
% 27.17/18.47 (v194(constB188) | (~v191(constB188))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32127, 8171, 32124])).
% 27.17/18.47 tff(32129,plain,
% 27.17/18.47 (~v191(constB188)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32128, 32112])).
% 27.17/18.47 tff(32130,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB188, constB189)) | v191(constB188) | (~v193(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB188, constB189)) | v191(constB188) | (~v193(constB189)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32131,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB188, constB189)) | v191(constB188) | (~v193(constB189)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32132,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB188, constB189)) | v191(constB188) | (~v193(constB189))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32131, 32130])).
% 27.17/18.47 tff(32133,plain,
% 27.17/18.47 (v191(constB188) | (~v193(constB189))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32132, 8186, 24396])).
% 27.17/18.47 tff(32134,plain,
% 27.17/18.47 (~v193(constB189)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32133, 32129])).
% 27.17/18.47 tff(32135,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32134, 31942])).
% 27.17/18.47 tff(32136,plain,(~(constB189 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32137,assumption,(constB58 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32138,plain,
% 27.17/18.47 (v1(constB58) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32137])).
% 27.17/18.47 tff(32139,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB58)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32138])).
% 27.17/18.47 tff(32140,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB58))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32139])).
% 27.17/18.47 tff(32141,plain,
% 27.17/18.47 (~v1(constB58)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32140])).
% 27.17/18.47 tff(32142,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[7633, 32141])).
% 27.17/18.47 tff(32143,plain,(~(constB58 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32144,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32145,plain,
% 27.17/18.47 (v1(constB82) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32144])).
% 27.17/18.47 tff(32146,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB82)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32145])).
% 27.17/18.47 tff(32147,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32146])).
% 27.17/18.47 tff(32148,plain,
% 27.17/18.47 (~v1(constB82)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32147])).
% 27.17/18.47 tff(32149,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[10693, 32148])).
% 27.17/18.47 tff(32150,plain,(~(constB82 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32151,assumption,(constB148 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32152,plain,
% 27.17/18.47 (v1(constB148) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32151])).
% 27.17/18.47 tff(32153,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB148)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32152])).
% 27.17/18.47 tff(32154,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB148))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32153])).
% 27.17/18.47 tff(32155,plain,
% 27.17/18.47 (~v1(constB148)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32154])).
% 27.17/18.47 tff(32156,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[18286, 32155])).
% 27.17/18.47 tff(32157,plain,(~(constB148 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32158,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32159,plain,
% 27.17/18.47 (v1(constB134) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32158])).
% 27.17/18.47 tff(32160,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB134)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32159])).
% 27.17/18.47 tff(32161,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32160])).
% 27.17/18.47 tff(32162,plain,
% 27.17/18.47 (~v1(constB134)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32161])).
% 27.17/18.47 tff(32163,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[16842, 32162])).
% 27.17/18.47 tff(32164,plain,(~(constB134 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32165,assumption,(constB78 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32166,plain,
% 27.17/18.47 (v1(constB78) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32165])).
% 27.17/18.47 tff(32167,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB78)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32166])).
% 27.17/18.47 tff(32168,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB78))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32167])).
% 27.17/18.47 tff(32169,plain,
% 27.17/18.47 (~v1(constB78)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32168])).
% 27.17/18.47 tff(32170,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[10206, 32169])).
% 27.17/18.47 tff(32171,plain,(~(constB78 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32172,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32173,plain,
% 27.17/18.47 (v193(constB171) <=> v193(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32172])).
% 27.17/18.47 tff(32174,plain,
% 27.17/18.47 (v193(sK0_VarCurr) <=> v193(constB171)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32173])).
% 27.17/18.47 tff(32175,plain,
% 27.17/18.47 (v193(constB171)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[8270, 32174])).
% 27.17/18.47 tff(32176,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB169) | (~v201(constB169)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB169) | (~v201(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32177,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB169) | (~v201(constB169)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32178,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB169) | (~v201(constB169))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32177, 32176])).
% 27.17/18.47 tff(32179,plain,
% 27.17/18.47 (~v201(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32178, 8129, 24997])).
% 27.17/18.47 tff(32180,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | (~v200(constB169)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | (~v200(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32181,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB169) | (~v200(constB169)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32182,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB169) | (~v200(constB169))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 27.17/18.47 tff(32183,plain,
% 27.17/18.47 (~v200(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32182, 8143, 32179])).
% 27.17/18.47 tff(32184,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB169) | (~v198(constB169)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB169) | (~v198(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32185,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB169) | (~v198(constB169)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32186,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB169) | (~v198(constB169))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32185, 32184])).
% 27.17/18.47 tff(32187,plain,
% 27.17/18.47 (~v198(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32186, 8157, 32183])).
% 27.17/18.47 tff(32188,assumption,(v18(constB170)), introduced(assumption)).
% 27.17/18.47 tff(32189,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB170))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32190,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32189, 8, 32188])).
% 27.17/18.47 tff(32191,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32192,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32193,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32194,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32193, 32192])).
% 27.17/18.47 tff(32195,plain,
% 27.17/18.47 (v22(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32194, 24, 21498])).
% 27.17/18.47 tff(32196,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB170) | (~v22(constB170)) | (~v19(constB170)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB170) | (~v22(constB170)) | (~v19(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32197,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB170) | (~v22(constB170)) | (~v19(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32198,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB170) | (~v22(constB170)) | (~v19(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32197, 32196])).
% 27.17/18.47 tff(32199,plain,
% 27.17/18.47 (v18(constB170) | (~v19(constB170))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32198, 38, 32195])).
% 27.17/18.47 tff(32200,plain,
% 27.17/18.47 (~v19(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32199, 32191])).
% 27.17/18.47 tff(32201,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32202,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32203,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32202, 32201])).
% 27.17/18.47 tff(32204,plain,
% 27.17/18.47 (v13(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32203, 50, 32200])).
% 27.17/18.47 tff(32205,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32206,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32207,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32206, 32205])).
% 27.17/18.47 tff(32208,plain,
% 27.17/18.47 (v9(constB169) | (~v13(constB170))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32207, 67, 21475])).
% 27.17/18.47 tff(32209,plain,
% 27.17/18.47 (v9(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32208, 32204])).
% 27.17/18.47 tff(32210,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v197(constB169))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB169) | (~v9(constB169)) | v197(constB169))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32211,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v197(constB169))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32212,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB169) | (~v9(constB169)) | v197(constB169)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32211, 32210])).
% 27.17/18.47 tff(32213,plain,
% 27.17/18.47 ((~v9(constB169)) | v197(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32212, 85, 21313])).
% 27.17/18.47 tff(32214,plain,
% 27.17/18.47 (v197(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32213, 32209])).
% 27.17/18.47 tff(32215,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB169) | (~v197(constB169)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB169) | (~v197(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32216,plain,
% 27.17/18.47 (((~v197(constB169)) | v196(constB169)) <=> (v196(constB169) | (~v197(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32217,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB169)) | v196(constB169))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB169) | (~v197(constB169))))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32216])).
% 27.17/18.47 tff(32218,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB169)) | v196(constB169))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB169) | (~v197(constB169)))),
% 27.17/18.47 inference(transitivity,[status(thm)],[32217, 32215])).
% 27.17/18.47 tff(32219,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB169)) | v196(constB169))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32220,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB169) | (~v197(constB169))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32219, 32218])).
% 27.17/18.47 tff(32221,plain,
% 27.17/18.47 (v196(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32220, 97, 32214])).
% 27.17/18.47 tff(32222,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB169)) | (~v196(constB169)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB169)) | (~v196(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32223,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB169)) | (~v196(constB169)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32224,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB169)) | (~v196(constB169))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32223, 32222])).
% 27.17/18.47 tff(32225,plain,
% 27.17/18.47 (~v194(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32224, 108, 32221])).
% 27.17/18.47 tff(32226,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB169) | v198(constB169) | (~v191(constB169)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB169) | v198(constB169) | (~v191(constB169)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32227,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB169) | v198(constB169) | (~v191(constB169)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32228,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB169) | v198(constB169) | (~v191(constB169))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 27.17/18.47 tff(32229,plain,
% 27.17/18.47 (v198(constB169) | (~v191(constB169))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32228, 8171, 32225])).
% 27.17/18.47 tff(32230,plain,
% 27.17/18.47 (~v191(constB169)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32229, 32187])).
% 27.17/18.47 tff(32231,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32232,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32233,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB169, constB170)) | v191(constB169) | (~v193(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32232, 32231])).
% 27.17/18.47 tff(32234,plain,
% 27.17/18.47 (v191(constB169) | (~v193(constB170))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32233, 8186, 21475])).
% 27.17/18.47 tff(32235,plain,
% 27.17/18.47 (~v193(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32234, 32230])).
% 27.17/18.47 tff(32236,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB170) | (~v194(constB170)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB170) | (~v194(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32237,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB170) | (~v194(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32238,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB170) | (~v194(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32237, 32236])).
% 27.17/18.47 tff(32239,plain,
% 27.17/18.47 (~v194(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32238, 8201, 32235])).
% 27.17/18.47 tff(32240,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB170)) | (~v197(constB170)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB170)) | (~v197(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32241,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB170)) | (~v197(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32242,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB170)) | (~v197(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32241, 32240])).
% 27.17/18.47 tff(32243,plain,
% 27.17/18.47 (~v197(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32242, 8215, 21498])).
% 27.17/18.47 tff(32244,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB170) | (~v200(constB170)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB170) | (~v200(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32245,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB170) | (~v200(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32246,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB170) | (~v200(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32245, 32244])).
% 27.17/18.47 tff(32247,plain,
% 27.17/18.47 (~v200(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32246, 8229, 32243])).
% 27.17/18.47 tff(32248,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB170) | (~v198(constB170)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB170) | (~v198(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32249,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB170) | (~v198(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32250,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB170) | (~v198(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 27.17/18.47 tff(32251,plain,
% 27.17/18.47 (~v198(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32250, 8157, 32247])).
% 27.17/18.47 tff(32252,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB170) | v198(constB170) | (~v191(constB170)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB170) | v198(constB170) | (~v191(constB170)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32253,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB170) | v198(constB170) | (~v191(constB170)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32254,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB170) | v198(constB170) | (~v191(constB170))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 27.17/18.47 tff(32255,plain,
% 27.17/18.47 (v194(constB170) | (~v191(constB170))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32254, 8171, 32251])).
% 27.17/18.47 tff(32256,plain,
% 27.17/18.47 (~v191(constB170)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32255, 32239])).
% 27.17/18.47 tff(32257,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32258,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32259,plain,
% 27.17/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB170, constB171)) | v191(constB170) | (~v193(constB171))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32258, 32257])).
% 27.17/18.47 tff(32260,plain,
% 27.17/18.47 (v191(constB170) | (~v193(constB171))),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32259, 8186, 21567])).
% 27.17/18.47 tff(32261,plain,
% 27.17/18.47 (~v193(constB171)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32260, 32256])).
% 27.17/18.47 tff(32262,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32261, 32175])).
% 27.17/18.47 tff(32263,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32264,assumption,(constB146 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32265,plain,
% 27.17/18.47 (v1(constB146) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32264])).
% 27.17/18.47 tff(32266,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB146)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32265])).
% 27.17/18.47 tff(32267,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB146))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32266])).
% 27.17/18.47 tff(32268,plain,
% 27.17/18.47 (~v1(constB146)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32267])).
% 27.17/18.47 tff(32269,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[18046, 32268])).
% 27.17/18.47 tff(32270,plain,(~(constB146 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32271,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32272,plain,
% 27.17/18.47 (v1(constB144) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32271])).
% 27.17/18.47 tff(32273,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB144)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32272])).
% 27.17/18.47 tff(32274,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32273])).
% 27.17/18.47 tff(32275,plain,
% 27.17/18.47 (~v1(constB144)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32274])).
% 27.17/18.47 tff(32276,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[17862, 32275])).
% 27.17/18.47 tff(32277,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32278,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32279,plain,
% 27.17/18.47 (v1(constB198) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32278])).
% 27.17/18.47 tff(32280,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB198)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32279])).
% 27.17/18.47 tff(32281,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32280])).
% 27.17/18.47 tff(32282,plain,
% 27.17/18.47 (~v1(constB198)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32281])).
% 27.17/18.47 tff(32283,plain,
% 27.17/18.47 (v1(constB198) <=> v1(constB198)),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32284,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 27.17/18.47 tff(32285,plain,
% 27.17/18.47 (v1(constB198)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32284, 32283])).
% 27.17/18.47 tff(32286,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32285, 32282])).
% 27.17/18.47 tff(32287,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32288,assumption,(constB80 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32289,plain,
% 27.17/18.47 (v1(constB80) <=> v1(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32288])).
% 27.17/18.47 tff(32290,plain,
% 27.17/18.47 (v1(sK0_VarCurr) <=> v1(constB80)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32289])).
% 27.17/18.47 tff(32291,plain,
% 27.17/18.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB80))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32290])).
% 27.17/18.47 tff(32292,plain,
% 27.17/18.47 (~v1(constB80)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[25165, 32291])).
% 27.17/18.47 tff(32293,plain,
% 27.17/18.47 ($false),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[10402, 32292])).
% 27.17/18.47 tff(32294,plain,(~(constB80 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.47 tff(32295,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.47 tff(32296,plain,
% 27.17/18.47 (v193(constB77) <=> v193(sK0_VarCurr)),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32295])).
% 27.17/18.47 tff(32297,plain,
% 27.17/18.47 (v193(sK0_VarCurr) <=> v193(constB77)),
% 27.17/18.47 inference(symmetry,[status(thm)],[32296])).
% 27.17/18.47 tff(32298,plain,
% 27.17/18.47 (v193(constB77)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[8270, 32297])).
% 27.17/18.47 tff(32299,plain,
% 27.17/18.47 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB73)) | (~v170(constB73)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB73)) | (~v170(constB73)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32300,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB73)) | (~v170(constB73)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32301,plain,
% 27.17/18.47 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB73)) | (~v170(constB73))),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32300, 32299])).
% 27.17/18.47 tff(32302,plain,
% 27.17/18.47 (~v170(constB73)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32301, 8084, 24969])).
% 27.17/18.47 tff(32303,plain,
% 27.17/18.47 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB73)) | (~v166(constB73)) | v170(constB73))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32304,plain,
% 27.17/18.47 (((~v166(constB73)) | v170(constB73) | (~v163(constB73))) <=> ((~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32305,plain,
% 27.17/18.47 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB73)) | (~v166(constB73)) | v170(constB73)))),
% 27.17/18.47 inference(monotonicity,[status(thm)],[32304])).
% 27.17/18.47 tff(32306,plain,
% 27.17/18.47 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73))),
% 27.17/18.47 inference(transitivity,[status(thm)],[32305, 32303])).
% 27.17/18.47 tff(32307,plain,
% 27.17/18.47 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB73)) | v170(constB73) | (~v163(constB73)))),
% 27.17/18.47 inference(quant_inst,[status(thm)],[])).
% 27.17/18.47 tff(32308,plain,
% 27.17/18.47 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB73)) | (~v166(constB73)) | v170(constB73)),
% 27.17/18.47 inference(modus_ponens,[status(thm)],[32307, 32306])).
% 27.17/18.47 tff(32309,plain,
% 27.17/18.47 (~v163(constB73)),
% 27.17/18.47 inference(unit_resolution,[status(thm)],[32308, 8112, 24973, 32302])).
% 27.17/18.47 tff(32310,plain,
% 27.17/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))),
% 27.17/18.47 inference(rewrite,[status(thm)],[])).
% 27.17/18.47 tff(32311,plain,
% 27.17/18.48 (((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74))) <=> (v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32312,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32311])).
% 27.17/18.48 tff(32313,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32312, 32310])).
% 27.17/18.48 tff(32314,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB73, constB74)) | v163(constB73) | (~v186(constB74)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32315,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB73) | (~nextState(constB73, constB74)) | (~v186(constB74))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32314, 32313])).
% 27.17/18.48 tff(32316,plain,
% 27.17/18.48 (v163(constB73) | (~v186(constB74))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32315, 19345, 9731])).
% 27.17/18.48 tff(32317,plain,
% 27.17/18.48 (~v186(constB74)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32316, 32309])).
% 27.17/18.48 tff(32318,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32319,plain,
% 27.17/18.48 (((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74)) <=> ((~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32320,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v181(constB74) | v104(constB74)))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32319])).
% 27.17/18.48 tff(32321,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB73, constB74)) | v181(constB74) | v104(constB74))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32320, 32318])).
% 27.17/18.48 tff(32322,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | v181(constB74))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32323,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB73, constB74)) | v181(constB74) | v104(constB74)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32322, 32321])).
% 27.17/18.48 tff(32324,plain,
% 27.17/18.48 (v181(constB74) | v104(constB74)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32323, 19367, 9731])).
% 27.17/18.48 tff(32325,plain,
% 27.17/18.48 (v181(constB74)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32324, 9743])).
% 27.17/18.48 tff(32326,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32327,plain,
% 27.17/18.48 (((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74))) <=> ((~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32328,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32327])).
% 27.17/18.48 tff(32329,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32328, 32326])).
% 27.17/18.48 tff(32330,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB73, constB74)) | (~v1(constB74)) | v180(constB74) | (~v181(constB74)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32331,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB73, constB74)) | v180(constB74) | (~v1(constB74)) | (~v181(constB74))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 27.17/18.48 tff(32332,plain,
% 27.17/18.48 (v180(constB74) | (~v181(constB74))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32331, 19385, 9731, 9754])).
% 27.17/18.48 tff(32333,plain,
% 27.17/18.48 (v180(constB74)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32332, 32325])).
% 27.17/18.48 tff(32334,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32335,plain,
% 27.17/18.48 (((~nextState(constB73, constB74)) | (~v180(constB74)) | v179(constB74)) <=> ((~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32336,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB73, constB74)) | (~v180(constB74)) | v179(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32335])).
% 27.17/18.48 tff(32337,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB73, constB74)) | (~v180(constB74)) | v179(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32336, 32334])).
% 27.17/18.48 tff(32338,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB73, constB74)) | (~v180(constB74)) | v179(constB74))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32339,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB73, constB74)) | v179(constB74) | (~v180(constB74))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 27.17/18.48 tff(32340,plain,
% 27.17/18.48 (v179(constB74) | (~v180(constB74))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32339, 19403, 9731])).
% 27.17/18.48 tff(32341,plain,
% 27.17/18.48 (v179(constB74)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32340, 32333])).
% 27.17/18.48 tff(32342,plain,
% 27.17/18.48 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB74) | (~v159(constB74)) | (~v179(constB74)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB74) | (~v159(constB74)) | (~v179(constB74)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32343,plain,
% 27.17/18.48 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB74) | (~v159(constB74)) | (~v179(constB74)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32344,plain,
% 27.17/18.48 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB74) | (~v159(constB74)) | (~v179(constB74))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32343, 32342])).
% 27.17/18.48 tff(32345,plain,
% 27.17/18.48 (v186(constB74) | (~v159(constB74))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32344, 19421, 32341])).
% 27.17/18.48 tff(32346,plain,
% 27.17/18.48 (~v159(constB74)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32345, 32317])).
% 27.17/18.48 tff(32347,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32348,plain,
% 27.17/18.48 (((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75))) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32349,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32348])).
% 27.17/18.48 tff(32350,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32349, 32347])).
% 27.17/18.48 tff(32351,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB74, constB75)) | v1(constB75) | (~v180(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32352,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v180(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32351, 32350])).
% 27.17/18.48 tff(32353,plain,
% 27.17/18.48 (~v180(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32352, 19439, 9823, 9820])).
% 27.17/18.48 tff(32354,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32355,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32356,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB74, constB75)) | v180(constB75) | (~v179(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32355, 32354])).
% 27.17/18.48 tff(32357,plain,
% 27.17/18.48 (v180(constB75) | (~v179(constB75))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32356, 19456, 9823])).
% 27.17/18.48 tff(32358,plain,
% 27.17/18.48 (~v179(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32357, 32353])).
% 27.17/18.48 tff(32359,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32360,plain,
% 27.17/18.48 (((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75))) <=> (v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32361,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32360])).
% 27.17/18.48 tff(32362,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32361, 32359])).
% 27.17/18.48 tff(32363,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB74, constB75)) | v179(constB75) | v159(constB74) | (~v159(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32364,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB74) | (~nextState(constB74, constB75)) | v179(constB75) | (~v159(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32363, 32362])).
% 27.17/18.48 tff(32365,plain,
% 27.17/18.48 (v159(constB74) | v179(constB75) | (~v159(constB75))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32364, 19471, 9823])).
% 27.17/18.48 tff(32366,plain,
% 27.17/18.48 (v159(constB74) | (~v159(constB75))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32365, 32358])).
% 27.17/18.48 tff(32367,plain,
% 27.17/18.48 (~v159(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32366, 32346])).
% 27.17/18.48 tff(32368,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB75) | (~v201(constB75)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB75) | (~v201(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32369,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB75) | (~v201(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32370,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB75) | (~v201(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32369, 32368])).
% 27.17/18.48 tff(32371,plain,
% 27.17/18.48 (~v201(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32370, 19490, 32367])).
% 27.17/18.48 tff(32372,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | (~v200(constB75)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | (~v200(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32373,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB75) | (~v200(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32374,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB75) | (~v200(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32373, 32372])).
% 27.17/18.48 tff(32375,plain,
% 27.17/18.48 (~v200(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32374, 8143, 32371])).
% 27.17/18.48 tff(32376,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB75) | (~v198(constB75)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB75) | (~v198(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32377,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB75) | (~v198(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32378,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB75) | (~v198(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32377, 32376])).
% 27.17/18.48 tff(32379,plain,
% 27.17/18.48 (~v198(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32378, 8157, 32375])).
% 27.17/18.48 tff(32380,assumption,(v18(constB76)), introduced(assumption)).
% 27.17/18.48 tff(32381,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB76))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32382,plain,
% 27.17/18.48 ($false),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32381, 8, 32380])).
% 27.17/18.48 tff(32383,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.48 tff(32384,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32385,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32386,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32385, 32384])).
% 27.17/18.48 tff(32387,plain,
% 27.17/18.48 (v22(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32386, 24, 9997])).
% 27.17/18.48 tff(32388,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32389,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32390,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 27.17/18.48 tff(32391,plain,
% 27.17/18.48 (v18(constB76) | (~v19(constB76))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32390, 38, 32387])).
% 27.17/18.48 tff(32392,plain,
% 27.17/18.48 (~v19(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32391, 32383])).
% 27.17/18.48 tff(32393,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32394,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32395,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32394, 32393])).
% 27.17/18.48 tff(32396,plain,
% 27.17/18.48 (v13(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32395, 50, 32392])).
% 27.17/18.48 tff(32397,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32398,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32399,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32398, 32397])).
% 27.17/18.48 tff(32400,plain,
% 27.17/18.48 (v9(constB75) | (~v13(constB76))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32399, 67, 9974])).
% 27.17/18.48 tff(32401,plain,
% 27.17/18.48 (v9(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32400, 32396])).
% 27.17/18.48 tff(32402,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v197(constB75))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB75) | (~v9(constB75)) | v197(constB75))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32403,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v197(constB75))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32404,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB75) | (~v9(constB75)) | v197(constB75)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32403, 32402])).
% 27.17/18.48 tff(32405,plain,
% 27.17/18.48 ((~v9(constB75)) | v197(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32404, 85, 9820])).
% 27.17/18.48 tff(32406,plain,
% 27.17/18.48 (v197(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32405, 32401])).
% 27.17/18.48 tff(32407,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB75)) | v196(constB75))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB75)) | v196(constB75))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32408,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB75)) | v196(constB75))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32409,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB75)) | v196(constB75)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32408, 32407])).
% 27.17/18.48 tff(32410,plain,
% 27.17/18.48 (v196(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32409, 97, 32406])).
% 27.17/18.48 tff(32411,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB75)) | (~v196(constB75)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB75)) | (~v196(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32412,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB75)) | (~v196(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32413,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB75)) | (~v196(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 27.17/18.48 tff(32414,plain,
% 27.17/18.48 (~v194(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32413, 108, 32410])).
% 27.17/18.48 tff(32415,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB75) | v198(constB75) | (~v191(constB75)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB75) | v198(constB75) | (~v191(constB75)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32416,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB75) | v198(constB75) | (~v191(constB75)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32417,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB75) | v198(constB75) | (~v191(constB75))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32416, 32415])).
% 27.17/18.48 tff(32418,plain,
% 27.17/18.48 (v198(constB75) | (~v191(constB75))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32417, 8171, 32414])).
% 27.17/18.48 tff(32419,plain,
% 27.17/18.48 (~v191(constB75)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32418, 32379])).
% 27.17/18.48 tff(32420,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32421,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32422,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB75, constB76)) | v191(constB75) | (~v193(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 27.17/18.48 tff(32423,plain,
% 27.17/18.48 (v191(constB75) | (~v193(constB76))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32422, 8186, 9974])).
% 27.17/18.48 tff(32424,plain,
% 27.17/18.48 (~v193(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32423, 32419])).
% 27.17/18.48 tff(32425,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB76) | (~v194(constB76)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB76) | (~v194(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32426,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB76) | (~v194(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32427,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB76) | (~v194(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 27.17/18.48 tff(32428,plain,
% 27.17/18.48 (~v194(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32427, 8201, 32424])).
% 27.17/18.48 tff(32429,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB76)) | (~v197(constB76)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB76)) | (~v197(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32430,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB76)) | (~v197(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32431,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB76)) | (~v197(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 27.17/18.48 tff(32432,plain,
% 27.17/18.48 (~v197(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32431, 8215, 9997])).
% 27.17/18.48 tff(32433,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB76) | (~v200(constB76)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB76) | (~v200(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32434,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB76) | (~v200(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32435,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB76) | (~v200(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32434, 32433])).
% 27.17/18.48 tff(32436,plain,
% 27.17/18.48 (~v200(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32435, 8229, 32432])).
% 27.17/18.48 tff(32437,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB76) | (~v198(constB76)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB76) | (~v198(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32438,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB76) | (~v198(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32439,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB76) | (~v198(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32438, 32437])).
% 27.17/18.48 tff(32440,plain,
% 27.17/18.48 (~v198(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32439, 8157, 32436])).
% 27.17/18.48 tff(32441,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB76) | v198(constB76) | (~v191(constB76)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB76) | v198(constB76) | (~v191(constB76)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32442,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB76) | v198(constB76) | (~v191(constB76)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32443,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB76) | v198(constB76) | (~v191(constB76))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32442, 32441])).
% 27.17/18.48 tff(32444,plain,
% 27.17/18.48 (v194(constB76) | (~v191(constB76))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32443, 8171, 32440])).
% 27.17/18.48 tff(32445,plain,
% 27.17/18.48 (~v191(constB76)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32444, 32428])).
% 27.17/18.48 tff(32446,plain,
% 27.17/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32447,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77)))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32448,plain,
% 27.17/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB76, constB77)) | v191(constB76) | (~v193(constB77))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32447, 32446])).
% 27.17/18.48 tff(32449,plain,
% 27.17/18.48 (v191(constB76) | (~v193(constB77))),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32448, 8186, 10042])).
% 27.17/18.48 tff(32450,plain,
% 27.17/18.48 (~v193(constB77)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32449, 32445])).
% 27.17/18.48 tff(32451,plain,
% 27.17/18.48 ($false),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32450, 32298])).
% 27.17/18.48 tff(32452,plain,(~(constB77 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.48 tff(32453,assumption,(constB128 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.48 tff(32454,plain,
% 27.17/18.48 (v1(constB128) <=> v1(sK0_VarCurr)),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32453])).
% 27.17/18.48 tff(32455,plain,
% 27.17/18.48 (v1(sK0_VarCurr) <=> v1(constB128)),
% 27.17/18.48 inference(symmetry,[status(thm)],[32454])).
% 27.17/18.48 tff(32456,plain,
% 27.17/18.48 ((~v1(sK0_VarCurr)) <=> (~v1(constB128))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32455])).
% 27.17/18.48 tff(32457,plain,
% 27.17/18.48 (~v1(constB128)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[25165, 32456])).
% 27.17/18.48 tff(32458,plain,
% 27.17/18.48 ($false),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[16194, 32457])).
% 27.17/18.48 tff(32459,plain,(~(constB128 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.48 tff(32460,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.48 tff(32461,plain,
% 27.17/18.48 (v193(constB59) <=> v193(sK0_VarCurr)),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32460])).
% 27.17/18.48 tff(32462,plain,
% 27.17/18.48 (v193(sK0_VarCurr) <=> v193(constB59)),
% 27.17/18.48 inference(symmetry,[status(thm)],[32461])).
% 27.17/18.48 tff(32463,plain,
% 27.17/18.48 (v193(constB59)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[8270, 32462])).
% 27.17/18.48 tff(32464,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB55, bitIndex2)) | v90(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB55, bitIndex2)) | v90(constB55, bitIndex2))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32465,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB55, bitIndex2)) | v90(constB55, bitIndex2))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32466,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB55, bitIndex2)) | v90(constB55, bitIndex2)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 27.17/18.48 tff(32467,plain,
% 27.17/18.48 (~v88(constB55, bitIndex2)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32466, 25366, 7288])).
% 27.17/18.48 tff(32468,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32469,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32470,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32469, 32468])).
% 27.17/18.48 tff(32471,plain,
% 27.17/18.48 (v88(constB55, bitIndex1)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32470, 8034, 7319])).
% 27.17/18.48 tff(32472,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32473,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32474,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0)),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32473, 32472])).
% 27.17/18.48 tff(32475,plain,
% 27.17/18.48 (v88(constB55, bitIndex0)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32474, 26352, 7350])).
% 27.17/18.48 tff(32476,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | v141(constB55) | (~v88(constB55, bitIndex0)) | (~v88(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB55, bitIndex2) | v141(constB55) | (~v88(constB55, bitIndex0)) | (~v88(constB55, bitIndex1)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32477,plain,
% 27.17/18.48 ((v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55)) <=> (v88(constB55, bitIndex2) | v141(constB55) | (~v88(constB55, bitIndex0)) | (~v88(constB55, bitIndex1)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32478,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | v141(constB55) | (~v88(constB55, bitIndex0)) | (~v88(constB55, bitIndex1))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32477])).
% 27.17/18.48 tff(32479,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB55, bitIndex2) | v141(constB55) | (~v88(constB55, bitIndex0)) | (~v88(constB55, bitIndex1)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32478, 32476])).
% 27.17/18.48 tff(32480,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32481,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB55, bitIndex2) | v141(constB55) | (~v88(constB55, bitIndex0)) | (~v88(constB55, bitIndex1))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 27.17/18.48 tff(32482,plain,
% 27.17/18.48 (v141(constB55)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32481, 26366, 32475, 32471, 32467])).
% 27.17/18.48 tff(32483,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB55) | (~v141(constB55)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32484,plain,
% 27.17/18.48 (((~v141(constB55)) | v168(constB55)) <=> (v168(constB55) | (~v141(constB55)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32485,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB55)) | v168(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (v168(constB55) | (~v141(constB55))))),
% 27.17/18.48 inference(monotonicity,[status(thm)],[32484])).
% 27.17/18.48 tff(32486,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB55)) | v168(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB55) | (~v141(constB55)))),
% 27.17/18.48 inference(transitivity,[status(thm)],[32485, 32483])).
% 27.17/18.48 tff(32487,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB55)) | v168(constB55))),
% 27.17/18.48 inference(quant_inst,[status(thm)],[])).
% 27.17/18.48 tff(32488,plain,
% 27.17/18.48 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | v168(constB55) | (~v141(constB55))),
% 27.17/18.48 inference(modus_ponens,[status(thm)],[32487, 32486])).
% 27.17/18.48 tff(32489,plain,
% 27.17/18.48 (v168(constB55)),
% 27.17/18.48 inference(unit_resolution,[status(thm)],[32488, 26380, 32482])).
% 27.17/18.48 tff(32490,plain,
% 27.17/18.48 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB55) | (~v168(constB55)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.48 tff(32491,plain,
% 27.17/18.48 (((~v168(constB55)) | v167(constB55)) <=> (v167(constB55) | (~v168(constB55)))),
% 27.17/18.48 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32492,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB55)) | v167(constB55))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB55) | (~v168(constB55))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32491])).
% 27.17/18.49 tff(32493,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB55)) | v167(constB55))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB55) | (~v168(constB55)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32492, 32490])).
% 27.17/18.49 tff(32494,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB55)) | v167(constB55))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32495,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB55) | (~v168(constB55))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32494, 32493])).
% 27.17/18.49 tff(32496,plain,
% 27.17/18.49 (v167(constB55)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32495, 23043, 32489])).
% 27.17/18.49 tff(32497,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB55)) | (~v170(constB55)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB55)) | (~v170(constB55)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32498,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB55)) | (~v170(constB55)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32499,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB55)) | (~v170(constB55))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32498, 32497])).
% 27.17/18.49 tff(32500,plain,
% 27.17/18.49 (~v170(constB55)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32499, 8084, 32496])).
% 27.17/18.49 tff(32501,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB55) | (~v167(constB55)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB55) | (~v167(constB55)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32502,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB55) | (~v167(constB55)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32503,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB55) | (~v167(constB55))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32502, 32501])).
% 27.17/18.49 tff(32504,plain,
% 27.17/18.49 (v166(constB55)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32503, 8098, 32496])).
% 27.17/18.49 tff(32505,plain,
% 27.17/18.49 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB55)) | v170(constB55) | (~v166(constB55)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB55)) | v170(constB55) | (~v166(constB55)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32506,plain,
% 27.17/18.49 (((~v166(constB55)) | v170(constB55) | (~v163(constB55))) <=> ((~v163(constB55)) | v170(constB55) | (~v166(constB55)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32507,plain,
% 27.17/18.49 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB55)) | v170(constB55) | (~v163(constB55)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB55)) | v170(constB55) | (~v166(constB55))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32506])).
% 27.17/18.49 tff(32508,plain,
% 27.17/18.49 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB55)) | v170(constB55) | (~v163(constB55)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB55)) | v170(constB55) | (~v166(constB55)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32507, 32505])).
% 27.17/18.49 tff(32509,plain,
% 27.17/18.49 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB55)) | v170(constB55) | (~v163(constB55)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32510,plain,
% 27.17/18.49 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB55)) | v170(constB55) | (~v166(constB55))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32509, 32508])).
% 27.17/18.49 tff(32511,plain,
% 27.17/18.49 (~v163(constB55)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32510, 8112, 32504, 32500])).
% 27.17/18.49 tff(32512,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB55) | (~nextState(constB55, constB56)) | (~v186(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB55) | (~nextState(constB55, constB56)) | (~v186(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32513,plain,
% 27.17/18.49 (((~nextState(constB55, constB56)) | v163(constB55) | (~v186(constB56))) <=> (v163(constB55) | (~nextState(constB55, constB56)) | (~v186(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32514,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB55, constB56)) | v163(constB55) | (~v186(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB55) | (~nextState(constB55, constB56)) | (~v186(constB56))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32513])).
% 27.17/18.49 tff(32515,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB55, constB56)) | v163(constB55) | (~v186(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB55) | (~nextState(constB55, constB56)) | (~v186(constB56)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32514, 32512])).
% 27.17/18.49 tff(32516,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB55, constB56)) | v163(constB55) | (~v186(constB56)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32517,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB55) | (~nextState(constB55, constB56)) | (~v186(constB56))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32516, 32515])).
% 27.17/18.49 tff(32518,plain,
% 27.17/18.49 (v163(constB55) | (~v186(constB56))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32517, 19345, 7408])).
% 27.17/18.49 tff(32519,plain,
% 27.17/18.49 (~v186(constB56)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32518, 32511])).
% 27.17/18.49 tff(32520,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB55, constB56)) | v181(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB55, constB56)) | v181(constB56) | v104(constB56))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32521,plain,
% 27.17/18.49 (((~nextState(constB55, constB56)) | v104(constB56) | v181(constB56)) <=> ((~nextState(constB55, constB56)) | v181(constB56) | v104(constB56))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32522,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v181(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB55, constB56)) | v181(constB56) | v104(constB56)))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32521])).
% 27.17/18.49 tff(32523,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v181(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB55, constB56)) | v181(constB56) | v104(constB56))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32522, 32520])).
% 27.17/18.49 tff(32524,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | v181(constB56))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32525,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB55, constB56)) | v181(constB56) | v104(constB56)),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32524, 32523])).
% 27.17/18.49 tff(32526,plain,
% 27.17/18.49 (v181(constB56) | v104(constB56)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32525, 19367, 7408])).
% 27.17/18.49 tff(32527,plain,
% 27.17/18.49 (v181(constB56)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32526, 7420])).
% 27.17/18.49 tff(32528,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB55, constB56)) | v180(constB56) | (~v1(constB56)) | (~v181(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB55, constB56)) | v180(constB56) | (~v1(constB56)) | (~v181(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32529,plain,
% 27.17/18.49 (((~nextState(constB55, constB56)) | (~v1(constB56)) | v180(constB56) | (~v181(constB56))) <=> ((~nextState(constB55, constB56)) | v180(constB56) | (~v1(constB56)) | (~v181(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32530,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v180(constB56) | (~v181(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB55, constB56)) | v180(constB56) | (~v1(constB56)) | (~v181(constB56))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32529])).
% 27.17/18.49 tff(32531,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v180(constB56) | (~v181(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB55, constB56)) | v180(constB56) | (~v1(constB56)) | (~v181(constB56)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32530, 32528])).
% 27.17/18.49 tff(32532,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB55, constB56)) | (~v1(constB56)) | v180(constB56) | (~v181(constB56)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32533,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB55, constB56)) | v180(constB56) | (~v1(constB56)) | (~v181(constB56))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32532, 32531])).
% 27.17/18.49 tff(32534,plain,
% 27.17/18.49 (v180(constB56) | (~v181(constB56))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32533, 19385, 7408, 7431])).
% 27.17/18.49 tff(32535,plain,
% 27.17/18.49 (v180(constB56)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32534, 32527])).
% 27.17/18.49 tff(32536,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB55, constB56)) | v179(constB56) | (~v180(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB55, constB56)) | v179(constB56) | (~v180(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32537,plain,
% 27.17/18.49 (((~nextState(constB55, constB56)) | (~v180(constB56)) | v179(constB56)) <=> ((~nextState(constB55, constB56)) | v179(constB56) | (~v180(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32538,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB55, constB56)) | (~v180(constB56)) | v179(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB55, constB56)) | v179(constB56) | (~v180(constB56))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32537])).
% 27.17/18.49 tff(32539,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB55, constB56)) | (~v180(constB56)) | v179(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB55, constB56)) | v179(constB56) | (~v180(constB56)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32538, 32536])).
% 27.17/18.49 tff(32540,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB55, constB56)) | (~v180(constB56)) | v179(constB56))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32541,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB55, constB56)) | v179(constB56) | (~v180(constB56))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32540, 32539])).
% 27.17/18.49 tff(32542,plain,
% 27.17/18.49 (v179(constB56) | (~v180(constB56))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32541, 19403, 7408])).
% 27.17/18.49 tff(32543,plain,
% 27.17/18.49 (v179(constB56)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32542, 32535])).
% 27.17/18.49 tff(32544,plain,
% 27.17/18.49 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB56) | (~v159(constB56)) | (~v179(constB56)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB56) | (~v159(constB56)) | (~v179(constB56)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32545,plain,
% 27.17/18.49 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB56) | (~v159(constB56)) | (~v179(constB56)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32546,plain,
% 27.17/18.49 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB56) | (~v159(constB56)) | (~v179(constB56))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32545, 32544])).
% 27.17/18.49 tff(32547,plain,
% 27.17/18.49 (v186(constB56) | (~v159(constB56))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32546, 19421, 32543])).
% 27.17/18.49 tff(32548,plain,
% 27.17/18.49 (~v159(constB56)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32547, 32519])).
% 27.17/18.49 tff(32549,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v180(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v180(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32550,plain,
% 27.17/18.49 (((~nextState(constB56, constB57)) | v1(constB57) | (~v180(constB57))) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v180(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32551,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v1(constB57) | (~v180(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v180(constB57))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32550])).
% 27.17/18.49 tff(32552,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v1(constB57) | (~v180(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v180(constB57)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32551, 32549])).
% 27.17/18.49 tff(32553,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v1(constB57) | (~v180(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32554,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v180(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32553, 32552])).
% 27.17/18.49 tff(32555,plain,
% 27.17/18.49 (~v180(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32554, 19439, 7480, 7477])).
% 27.17/18.49 tff(32556,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB56, constB57)) | v180(constB57) | (~v179(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB56, constB57)) | v180(constB57) | (~v179(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32557,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB56, constB57)) | v180(constB57) | (~v179(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32558,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB56, constB57)) | v180(constB57) | (~v179(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32557, 32556])).
% 27.17/18.49 tff(32559,plain,
% 27.17/18.49 (v180(constB57) | (~v179(constB57))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32558, 19456, 7480])).
% 27.17/18.49 tff(32560,plain,
% 27.17/18.49 (~v179(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32559, 32555])).
% 27.17/18.49 tff(32561,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB56) | (~nextState(constB56, constB57)) | v179(constB57) | (~v159(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB56) | (~nextState(constB56, constB57)) | v179(constB57) | (~v159(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32562,plain,
% 27.17/18.49 (((~nextState(constB56, constB57)) | v179(constB57) | v159(constB56) | (~v159(constB57))) <=> (v159(constB56) | (~nextState(constB56, constB57)) | v179(constB57) | (~v159(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32563,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB56, constB57)) | v179(constB57) | v159(constB56) | (~v159(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB56) | (~nextState(constB56, constB57)) | v179(constB57) | (~v159(constB57))))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32562])).
% 27.17/18.49 tff(32564,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB56, constB57)) | v179(constB57) | v159(constB56) | (~v159(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB56) | (~nextState(constB56, constB57)) | v179(constB57) | (~v159(constB57)))),
% 27.17/18.49 inference(transitivity,[status(thm)],[32563, 32561])).
% 27.17/18.49 tff(32565,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB56, constB57)) | v179(constB57) | v159(constB56) | (~v159(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32566,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB56) | (~nextState(constB56, constB57)) | v179(constB57) | (~v159(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 27.17/18.49 tff(32567,plain,
% 27.17/18.49 (v159(constB56) | v179(constB57) | (~v159(constB57))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32566, 19471, 7480])).
% 27.17/18.49 tff(32568,plain,
% 27.17/18.49 (v159(constB56) | (~v159(constB57))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32567, 32560])).
% 27.17/18.49 tff(32569,plain,
% 27.17/18.49 (~v159(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32568, 32548])).
% 27.17/18.49 tff(32570,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB57) | (~v201(constB57)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB57) | (~v201(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32571,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB57) | (~v201(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32572,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB57) | (~v201(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 27.17/18.49 tff(32573,plain,
% 27.17/18.49 (~v201(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32572, 19490, 32569])).
% 27.17/18.49 tff(32574,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB57) | (~v200(constB57)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB57) | (~v200(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32575,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB57) | (~v200(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32576,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB57) | (~v200(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32575, 32574])).
% 27.17/18.49 tff(32577,plain,
% 27.17/18.49 (~v200(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32576, 8143, 32573])).
% 27.17/18.49 tff(32578,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB57) | (~v198(constB57)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB57) | (~v198(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32579,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB57) | (~v198(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32580,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB57) | (~v198(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32579, 32578])).
% 27.17/18.49 tff(32581,plain,
% 27.17/18.49 (~v198(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32580, 8157, 32577])).
% 27.17/18.49 tff(32582,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB57) | (~v194(constB57)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB57) | (~v194(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32583,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB57) | (~v194(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32584,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB57) | (~v194(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32583, 32582])).
% 27.17/18.49 tff(32585,plain,
% 27.17/18.49 (~v194(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32584, 8201, 25821])).
% 27.17/18.49 tff(32586,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB57) | v198(constB57) | (~v191(constB57)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB57) | v198(constB57) | (~v191(constB57)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32587,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB57) | v198(constB57) | (~v191(constB57)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32588,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB57) | v198(constB57) | (~v191(constB57))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32587, 32586])).
% 27.17/18.49 tff(32589,plain,
% 27.17/18.49 (v198(constB57) | (~v191(constB57))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32588, 8171, 32585])).
% 27.17/18.49 tff(32590,plain,
% 27.17/18.49 (~v191(constB57)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32589, 32581])).
% 27.17/18.49 tff(32591,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB57, constB58)) | v191(constB57) | (~v193(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB57, constB58)) | v191(constB57) | (~v193(constB58)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32592,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB57, constB58)) | v191(constB57) | (~v193(constB58)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32593,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB57, constB58)) | v191(constB57) | (~v193(constB58))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32592, 32591])).
% 27.17/18.49 tff(32594,plain,
% 27.17/18.49 (v191(constB57) | (~v193(constB58))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32593, 8186, 7610])).
% 27.17/18.49 tff(32595,plain,
% 27.17/18.49 (~v193(constB58)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32594, 32590])).
% 27.17/18.49 tff(32596,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB58) | (~v194(constB58)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB58) | (~v194(constB58)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32597,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB58) | (~v194(constB58)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32598,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB58) | (~v194(constB58))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32597, 32596])).
% 27.17/18.49 tff(32599,plain,
% 27.17/18.49 (~v194(constB58)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32598, 8201, 32595])).
% 27.17/18.49 tff(32600,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB58)) | (~v197(constB58)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB58)) | (~v197(constB58)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32601,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB58)) | (~v197(constB58)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32602,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB58)) | (~v197(constB58))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32601, 32600])).
% 27.17/18.49 tff(32603,plain,
% 27.17/18.49 (~v197(constB58)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32602, 8215, 7633])).
% 27.17/18.49 tff(32604,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB58) | (~v200(constB58)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB58) | (~v200(constB58)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32605,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB58) | (~v200(constB58)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32606,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB58) | (~v200(constB58))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32605, 32604])).
% 27.17/18.49 tff(32607,plain,
% 27.17/18.49 (~v200(constB58)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32606, 8229, 32603])).
% 27.17/18.49 tff(32608,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB58) | (~v198(constB58)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB58) | (~v198(constB58)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32609,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB58) | (~v198(constB58)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32610,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB58) | (~v198(constB58))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32609, 32608])).
% 27.17/18.49 tff(32611,plain,
% 27.17/18.49 (~v198(constB58)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32610, 8157, 32607])).
% 27.17/18.49 tff(32612,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB58) | v198(constB58) | (~v191(constB58)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB58) | v198(constB58) | (~v191(constB58)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32613,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB58) | v198(constB58) | (~v191(constB58)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32614,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB58) | v198(constB58) | (~v191(constB58))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32613, 32612])).
% 27.17/18.49 tff(32615,plain,
% 27.17/18.49 (v194(constB58) | (~v191(constB58))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32614, 8171, 32611])).
% 27.17/18.49 tff(32616,plain,
% 27.17/18.49 (~v191(constB58)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32615, 32599])).
% 27.17/18.49 tff(32617,plain,
% 27.17/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB58, constB59)) | v191(constB58) | (~v193(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB58, constB59)) | v191(constB58) | (~v193(constB59)))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32618,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB58, constB59)) | v191(constB58) | (~v193(constB59)))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32619,plain,
% 27.17/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB58, constB59)) | v191(constB58) | (~v193(constB59))),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32618, 32617])).
% 27.17/18.49 tff(32620,plain,
% 27.17/18.49 (v191(constB58) | (~v193(constB59))),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32619, 8186, 7678])).
% 27.17/18.49 tff(32621,plain,
% 27.17/18.49 (~v193(constB59)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32620, 32616])).
% 27.17/18.49 tff(32622,plain,
% 27.17/18.49 ($false),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32621, 32463])).
% 27.17/18.49 tff(32623,plain,(~(constB59 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.49 tff(32624,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.49 tff(32625,plain,
% 27.17/18.49 (v193(constB141) <=> v193(sK0_VarCurr)),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32624])).
% 27.17/18.49 tff(32626,plain,
% 27.17/18.49 (v193(sK0_VarCurr) <=> v193(constB141)),
% 27.17/18.49 inference(symmetry,[status(thm)],[32625])).
% 27.17/18.49 tff(32627,plain,
% 27.17/18.49 (v193(constB141)),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[8270, 32626])).
% 27.17/18.49 tff(32628,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32629,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32630,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2)),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32629, 32628])).
% 27.17/18.49 tff(32631,plain,
% 27.17/18.49 (~v88(constB137, bitIndex2)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32630, 25366, 17144])).
% 27.17/18.49 tff(32632,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32633,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32634,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0)),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 27.17/18.49 tff(32635,plain,
% 27.17/18.49 (~v88(constB137, bitIndex0)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32634, 7950, 17209])).
% 27.17/18.49 tff(32636,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32637,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))),
% 27.17/18.49 inference(quant_inst,[status(thm)],[])).
% 27.17/18.49 tff(32638,plain,
% 27.17/18.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1)),
% 27.17/18.49 inference(modus_ponens,[status(thm)],[32637, 32636])).
% 27.17/18.49 tff(32639,plain,
% 27.17/18.49 (v88(constB137, bitIndex1)),
% 27.17/18.49 inference(unit_resolution,[status(thm)],[32638, 8034, 17175])).
% 27.17/18.49 tff(32640,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0) | v143(constB137))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32641,plain,
% 27.17/18.49 ((v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137)) <=> ((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0) | v143(constB137))),
% 27.17/18.49 inference(rewrite,[status(thm)],[])).
% 27.17/18.49 tff(32642,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0) | v143(constB137)))),
% 27.17/18.49 inference(monotonicity,[status(thm)],[32641])).
% 27.17/18.49 tff(32643,plain,
% 27.17/18.49 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0) | v143(constB137))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32642, 32640])).
% 27.17/18.50 tff(32644,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32645,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0) | v143(constB137)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32644, 32643])).
% 27.17/18.50 tff(32646,plain,
% 27.17/18.50 (v143(constB137)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32645, 23093, 32639, 32635, 32631])).
% 27.17/18.50 tff(32647,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB137)) | v142(constB137))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32648,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32649,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB137)) | v142(constB137)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32648, 32647])).
% 27.17/18.50 tff(32650,plain,
% 27.17/18.50 (v142(constB137)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32649, 23075, 32646])).
% 27.17/18.50 tff(32651,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB137)) | v167(constB137))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB137)) | v167(constB137))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32652,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB137)) | v167(constB137))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32653,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB137)) | v167(constB137)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32652, 32651])).
% 27.17/18.50 tff(32654,plain,
% 27.17/18.50 (v167(constB137)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32653, 8073, 32650])).
% 27.17/18.50 tff(32655,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB137)) | (~v170(constB137)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB137)) | (~v170(constB137)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32656,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB137)) | (~v170(constB137)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32657,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB137)) | (~v170(constB137))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32656, 32655])).
% 27.17/18.50 tff(32658,plain,
% 27.17/18.50 (~v170(constB137)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32657, 8084, 32654])).
% 27.17/18.50 tff(32659,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB137) | (~v167(constB137)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB137) | (~v167(constB137)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32660,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB137) | (~v167(constB137)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32661,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB137) | (~v167(constB137))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 27.17/18.50 tff(32662,plain,
% 27.17/18.50 (v166(constB137)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32661, 8098, 32654])).
% 27.17/18.50 tff(32663,plain,
% 27.17/18.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB137)) | (~v166(constB137)) | v170(constB137))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB137)) | (~v166(constB137)) | v170(constB137))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32664,plain,
% 27.17/18.50 (((~v166(constB137)) | v170(constB137) | (~v163(constB137))) <=> ((~v163(constB137)) | (~v166(constB137)) | v170(constB137))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32665,plain,
% 27.17/18.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB137)) | v170(constB137) | (~v163(constB137)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB137)) | (~v166(constB137)) | v170(constB137)))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32664])).
% 27.17/18.50 tff(32666,plain,
% 27.17/18.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB137)) | v170(constB137) | (~v163(constB137)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB137)) | (~v166(constB137)) | v170(constB137))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32665, 32663])).
% 27.17/18.50 tff(32667,plain,
% 27.17/18.50 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB137)) | v170(constB137) | (~v163(constB137)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32668,plain,
% 27.17/18.50 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB137)) | (~v166(constB137)) | v170(constB137)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32667, 32666])).
% 27.17/18.50 tff(32669,plain,
% 27.17/18.50 (~v163(constB137)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32668, 8112, 32662, 32658])).
% 27.17/18.50 tff(32670,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB137) | (~nextState(constB137, constB138)) | (~v186(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB137) | (~nextState(constB137, constB138)) | (~v186(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32671,plain,
% 27.17/18.50 (((~nextState(constB137, constB138)) | v163(constB137) | (~v186(constB138))) <=> (v163(constB137) | (~nextState(constB137, constB138)) | (~v186(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32672,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB137, constB138)) | v163(constB137) | (~v186(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB137) | (~nextState(constB137, constB138)) | (~v186(constB138))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32671])).
% 27.17/18.50 tff(32673,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB137, constB138)) | v163(constB137) | (~v186(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB137) | (~nextState(constB137, constB138)) | (~v186(constB138)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32672, 32670])).
% 27.17/18.50 tff(32674,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB137, constB138)) | v163(constB137) | (~v186(constB138)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32675,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB137) | (~nextState(constB137, constB138)) | (~v186(constB138))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32674, 32673])).
% 27.17/18.50 tff(32676,plain,
% 27.17/18.50 (v163(constB137) | (~v186(constB138))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32675, 19345, 17257])).
% 27.17/18.50 tff(32677,plain,
% 27.17/18.50 (~v186(constB138)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32676, 32669])).
% 27.17/18.50 tff(32678,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB137, constB138)) | v181(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB137, constB138)) | v181(constB138) | v104(constB138))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32679,plain,
% 27.17/18.50 (((~nextState(constB137, constB138)) | v104(constB138) | v181(constB138)) <=> ((~nextState(constB137, constB138)) | v181(constB138) | v104(constB138))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32680,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v181(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB137, constB138)) | v181(constB138) | v104(constB138)))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32679])).
% 27.17/18.50 tff(32681,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v181(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB137, constB138)) | v181(constB138) | v104(constB138))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32680, 32678])).
% 27.17/18.50 tff(32682,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | v181(constB138))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32683,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB137, constB138)) | v181(constB138) | v104(constB138)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32682, 32681])).
% 27.17/18.50 tff(32684,plain,
% 27.17/18.50 (v181(constB138) | v104(constB138)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32683, 19367, 17257])).
% 27.17/18.50 tff(32685,plain,
% 27.17/18.50 (v181(constB138)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32684, 17269])).
% 27.17/18.50 tff(32686,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB137, constB138)) | v180(constB138) | (~v1(constB138)) | (~v181(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB137, constB138)) | v180(constB138) | (~v1(constB138)) | (~v181(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32687,plain,
% 27.17/18.50 (((~nextState(constB137, constB138)) | (~v1(constB138)) | v180(constB138) | (~v181(constB138))) <=> ((~nextState(constB137, constB138)) | v180(constB138) | (~v1(constB138)) | (~v181(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32688,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v180(constB138) | (~v181(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB137, constB138)) | v180(constB138) | (~v1(constB138)) | (~v181(constB138))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32687])).
% 27.17/18.50 tff(32689,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v180(constB138) | (~v181(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB137, constB138)) | v180(constB138) | (~v1(constB138)) | (~v181(constB138)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32688, 32686])).
% 27.17/18.50 tff(32690,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB137, constB138)) | (~v1(constB138)) | v180(constB138) | (~v181(constB138)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32691,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB137, constB138)) | v180(constB138) | (~v1(constB138)) | (~v181(constB138))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32690, 32689])).
% 27.17/18.50 tff(32692,plain,
% 27.17/18.50 (v180(constB138) | (~v181(constB138))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32691, 19385, 17257, 17280])).
% 27.17/18.50 tff(32693,plain,
% 27.17/18.50 (v180(constB138)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32692, 32685])).
% 27.17/18.50 tff(32694,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB137, constB138)) | v179(constB138) | (~v180(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB137, constB138)) | v179(constB138) | (~v180(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32695,plain,
% 27.17/18.50 (((~nextState(constB137, constB138)) | (~v180(constB138)) | v179(constB138)) <=> ((~nextState(constB137, constB138)) | v179(constB138) | (~v180(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32696,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB137, constB138)) | (~v180(constB138)) | v179(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB137, constB138)) | v179(constB138) | (~v180(constB138))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32695])).
% 27.17/18.50 tff(32697,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB137, constB138)) | (~v180(constB138)) | v179(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB137, constB138)) | v179(constB138) | (~v180(constB138)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32696, 32694])).
% 27.17/18.50 tff(32698,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB137, constB138)) | (~v180(constB138)) | v179(constB138))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32699,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB137, constB138)) | v179(constB138) | (~v180(constB138))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32698, 32697])).
% 27.17/18.50 tff(32700,plain,
% 27.17/18.50 (v179(constB138) | (~v180(constB138))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32699, 19403, 17257])).
% 27.17/18.50 tff(32701,plain,
% 27.17/18.50 (v179(constB138)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32700, 32693])).
% 27.17/18.50 tff(32702,plain,
% 27.17/18.50 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB138) | (~v159(constB138)) | (~v179(constB138)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB138) | (~v159(constB138)) | (~v179(constB138)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32703,plain,
% 27.17/18.50 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB138) | (~v159(constB138)) | (~v179(constB138)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32704,plain,
% 27.17/18.50 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB138) | (~v159(constB138)) | (~v179(constB138))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32703, 32702])).
% 27.17/18.50 tff(32705,plain,
% 27.17/18.50 (v186(constB138) | (~v159(constB138))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32704, 19421, 32701])).
% 27.17/18.50 tff(32706,plain,
% 27.17/18.50 (~v159(constB138)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32705, 32677])).
% 27.17/18.50 tff(32707,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v180(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v180(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32708,plain,
% 27.17/18.50 (((~nextState(constB138, constB139)) | v1(constB139) | (~v180(constB139))) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v180(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32709,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v1(constB139) | (~v180(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v180(constB139))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32708])).
% 27.17/18.50 tff(32710,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v1(constB139) | (~v180(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v180(constB139)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32709, 32707])).
% 27.17/18.50 tff(32711,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v1(constB139) | (~v180(constB139)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32712,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v180(constB139))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32711, 32710])).
% 27.17/18.50 tff(32713,plain,
% 27.17/18.50 (~v180(constB139)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32712, 19439, 17325, 17322])).
% 27.17/18.50 tff(32714,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB138, constB139)) | v180(constB139) | (~v179(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB138, constB139)) | v180(constB139) | (~v179(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32715,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB138, constB139)) | v180(constB139) | (~v179(constB139)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32716,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB138, constB139)) | v180(constB139) | (~v179(constB139))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 27.17/18.50 tff(32717,plain,
% 27.17/18.50 (v180(constB139) | (~v179(constB139))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32716, 19456, 17325])).
% 27.17/18.50 tff(32718,plain,
% 27.17/18.50 (~v179(constB139)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32717, 32713])).
% 27.17/18.50 tff(32719,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB138) | (~nextState(constB138, constB139)) | v179(constB139) | (~v159(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB138) | (~nextState(constB138, constB139)) | v179(constB139) | (~v159(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32720,plain,
% 27.17/18.50 (((~nextState(constB138, constB139)) | v179(constB139) | v159(constB138) | (~v159(constB139))) <=> (v159(constB138) | (~nextState(constB138, constB139)) | v179(constB139) | (~v159(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32721,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB138, constB139)) | v179(constB139) | v159(constB138) | (~v159(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB138) | (~nextState(constB138, constB139)) | v179(constB139) | (~v159(constB139))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32720])).
% 27.17/18.50 tff(32722,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB138, constB139)) | v179(constB139) | v159(constB138) | (~v159(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB138) | (~nextState(constB138, constB139)) | v179(constB139) | (~v159(constB139)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32721, 32719])).
% 27.17/18.50 tff(32723,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB138, constB139)) | v179(constB139) | v159(constB138) | (~v159(constB139)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32724,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB138) | (~nextState(constB138, constB139)) | v179(constB139) | (~v159(constB139))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32723, 32722])).
% 27.17/18.50 tff(32725,plain,
% 27.17/18.50 (v159(constB138) | v179(constB139) | (~v159(constB139))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32724, 19471, 17325])).
% 27.17/18.50 tff(32726,plain,
% 27.17/18.50 (v159(constB138) | (~v159(constB139))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32725, 32718])).
% 27.17/18.50 tff(32727,plain,
% 27.17/18.50 (~v159(constB139)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32726, 32706])).
% 27.17/18.50 tff(32728,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB139) | (~v201(constB139)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB139) | (~v201(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32729,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB139) | (~v201(constB139)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32730,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB139) | (~v201(constB139))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32729, 32728])).
% 27.17/18.50 tff(32731,plain,
% 27.17/18.50 (~v201(constB139)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32730, 19490, 32727])).
% 27.17/18.50 tff(32732,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB139) | (~v200(constB139)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB139) | (~v200(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32733,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB139) | (~v200(constB139)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32734,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB139) | (~v200(constB139))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32733, 32732])).
% 27.17/18.50 tff(32735,plain,
% 27.17/18.50 (~v200(constB139)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32734, 8143, 32731])).
% 27.17/18.50 tff(32736,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB139) | (~v198(constB139)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB139) | (~v198(constB139)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32737,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB139) | (~v198(constB139)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32738,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB139) | (~v198(constB139))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32737, 32736])).
% 27.17/18.50 tff(32739,plain,
% 27.17/18.50 (~v198(constB139)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32738, 8157, 32735])).
% 27.17/18.50 tff(32740,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB135, bitIndex2)) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB135, bitIndex2)) | v90(constB135, bitIndex2))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32741,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB135, bitIndex2)) | v90(constB135, bitIndex2))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32742,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB135, bitIndex2)) | v90(constB135, bitIndex2)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32741, 32740])).
% 27.17/18.50 tff(32743,plain,
% 27.17/18.50 (~v88(constB135, bitIndex2)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32742, 25366, 16932])).
% 27.17/18.50 tff(32744,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB135, bitIndex1)) | v90(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB135, bitIndex1)) | v90(constB135, bitIndex1))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32745,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB135, bitIndex1)) | v90(constB135, bitIndex1))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32746,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB135, bitIndex1)) | v90(constB135, bitIndex1)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32745, 32744])).
% 27.17/18.50 tff(32747,plain,
% 27.17/18.50 (~v88(constB135, bitIndex1)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32746, 25377, 16966])).
% 27.17/18.50 tff(32748,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32749,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32750,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32749, 32748])).
% 27.17/18.50 tff(32751,plain,
% 27.17/18.50 (v88(constB135, bitIndex0)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32750, 26352, 16997])).
% 27.17/18.50 tff(32752,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32753,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32754,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32753, 32752])).
% 27.17/18.50 tff(32755,plain,
% 27.17/18.50 (v140(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32754, 26773, 32751, 32747, 32743])).
% 27.17/18.50 tff(32756,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB135)) | v169(constB135))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB135)) | v169(constB135))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32757,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB135)) | v169(constB135))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32758,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (~v140(constB135)) | v169(constB135)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32757, 32756])).
% 27.17/18.50 tff(32759,plain,
% 27.17/18.50 (v169(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32758, 26787, 32755])).
% 27.17/18.50 tff(32760,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB135) | (~v169(constB135)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB135) | (~v169(constB135)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32761,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB135) | (~v169(constB135)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32762,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB135) | (~v169(constB135))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32761, 32760])).
% 27.17/18.50 tff(32763,plain,
% 27.17/18.50 (v168(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32762, 23060, 32759])).
% 27.17/18.50 tff(32764,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB135) | (~v168(constB135)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB135) | (~v168(constB135)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32765,plain,
% 27.17/18.50 (((~v168(constB135)) | v167(constB135)) <=> (v167(constB135) | (~v168(constB135)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32766,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB135)) | v167(constB135))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB135) | (~v168(constB135))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32765])).
% 27.17/18.50 tff(32767,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB135)) | v167(constB135))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB135) | (~v168(constB135)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32766, 32764])).
% 27.17/18.50 tff(32768,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB135)) | v167(constB135))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32769,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB135) | (~v168(constB135))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 27.17/18.50 tff(32770,plain,
% 27.17/18.50 (v167(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32769, 23043, 32763])).
% 27.17/18.50 tff(32771,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32772,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB135)) | (~v170(constB135)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32773,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB135)) | (~v170(constB135))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32772, 32771])).
% 27.17/18.50 tff(32774,plain,
% 27.17/18.50 (~v170(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32773, 8084, 32770])).
% 27.17/18.50 tff(32775,plain,
% 27.17/18.50 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32776,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB135) | (~v167(constB135)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32777,plain,
% 27.17/18.50 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB135) | (~v167(constB135))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32776, 32775])).
% 27.17/18.50 tff(32778,plain,
% 27.17/18.50 (v166(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32777, 8098, 32770])).
% 27.17/18.50 tff(32779,plain,
% 27.17/18.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | (~v166(constB135)) | v170(constB135))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32780,plain,
% 27.17/18.50 (((~v166(constB135)) | v170(constB135) | (~v163(constB135))) <=> ((~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32781,plain,
% 27.17/18.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB135)) | (~v166(constB135)) | v170(constB135)))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32780])).
% 27.17/18.50 tff(32782,plain,
% 27.17/18.50 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32781, 32779])).
% 27.17/18.50 tff(32783,plain,
% 27.17/18.50 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB135)) | v170(constB135) | (~v163(constB135)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32784,plain,
% 27.17/18.50 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB135)) | (~v166(constB135)) | v170(constB135)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32783, 32782])).
% 27.17/18.50 tff(32785,plain,
% 27.17/18.50 (~v163(constB135)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32784, 8112, 32778, 32774])).
% 27.17/18.50 tff(32786,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32787,plain,
% 27.17/18.50 (((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136))) <=> (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32788,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32787])).
% 27.17/18.50 tff(32789,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136)))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32788, 32786])).
% 27.17/18.50 tff(32790,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB135, constB136)) | v163(constB135) | (~v186(constB136)))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32791,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB135) | (~nextState(constB135, constB136)) | (~v186(constB136))),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32790, 32789])).
% 27.17/18.50 tff(32792,plain,
% 27.17/18.50 (v163(constB135) | (~v186(constB136))),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32791, 19345, 17055])).
% 27.17/18.50 tff(32793,plain,
% 27.17/18.50 (~v186(constB136)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32792, 32785])).
% 27.17/18.50 tff(32794,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32795,plain,
% 27.17/18.50 (((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136)) <=> ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32796,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)))),
% 27.17/18.50 inference(monotonicity,[status(thm)],[32795])).
% 27.17/18.50 tff(32797,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136))),
% 27.17/18.50 inference(transitivity,[status(thm)],[32796, 32794])).
% 27.17/18.50 tff(32798,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | v181(constB136))),
% 27.17/18.50 inference(quant_inst,[status(thm)],[])).
% 27.17/18.50 tff(32799,plain,
% 27.17/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB135, constB136)) | v181(constB136) | v104(constB136)),
% 27.17/18.50 inference(modus_ponens,[status(thm)],[32798, 32797])).
% 27.17/18.50 tff(32800,plain,
% 27.17/18.50 (v181(constB136) | v104(constB136)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32799, 19367, 17055])).
% 27.17/18.50 tff(32801,plain,
% 27.17/18.50 (v181(constB136)),
% 27.17/18.50 inference(unit_resolution,[status(thm)],[32800, 17067])).
% 27.17/18.50 tff(32802,plain,
% 27.17/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 27.17/18.50 inference(rewrite,[status(thm)],[])).
% 27.17/18.50 tff(32803,plain,
% 27.17/18.50 (((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136))) <=> ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32804,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))))),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32803])).
% 27.17/18.51 tff(32805,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136)))),
% 27.17/18.51 inference(transitivity,[status(thm)],[32804, 32802])).
% 27.17/18.51 tff(32806,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB135, constB136)) | (~v1(constB136)) | v180(constB136) | (~v181(constB136)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32807,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB135, constB136)) | v180(constB136) | (~v1(constB136)) | (~v181(constB136))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32806, 32805])).
% 27.17/18.51 tff(32808,plain,
% 27.17/18.51 (v180(constB136) | (~v181(constB136))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32807, 19385, 17055, 17078])).
% 27.17/18.51 tff(32809,plain,
% 27.17/18.51 (v180(constB136)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32808, 32801])).
% 27.17/18.51 tff(32810,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32811,plain,
% 27.17/18.51 (((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136)) <=> ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32812,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136))))),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32811])).
% 27.17/18.51 tff(32813,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136)))),
% 27.17/18.51 inference(transitivity,[status(thm)],[32812, 32810])).
% 27.17/18.51 tff(32814,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB135, constB136)) | (~v180(constB136)) | v179(constB136))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32815,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB135, constB136)) | v179(constB136) | (~v180(constB136))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32814, 32813])).
% 27.17/18.51 tff(32816,plain,
% 27.17/18.51 (v179(constB136) | (~v180(constB136))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32815, 19403, 17055])).
% 27.17/18.51 tff(32817,plain,
% 27.17/18.51 (v179(constB136)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32816, 32809])).
% 27.17/18.51 tff(32818,plain,
% 27.17/18.51 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB136) | (~v159(constB136)) | (~v179(constB136)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB136) | (~v159(constB136)) | (~v179(constB136)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32819,plain,
% 27.17/18.51 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB136) | (~v159(constB136)) | (~v179(constB136)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32820,plain,
% 27.17/18.51 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB136) | (~v159(constB136)) | (~v179(constB136))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32819, 32818])).
% 27.17/18.51 tff(32821,plain,
% 27.17/18.51 (v186(constB136) | (~v159(constB136))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32820, 19421, 32817])).
% 27.17/18.51 tff(32822,plain,
% 27.17/18.51 (~v159(constB136)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32821, 32793])).
% 27.17/18.51 tff(32823,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32824,plain,
% 27.17/18.51 (((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137))) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32825,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))))),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32824])).
% 27.17/18.51 tff(32826,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137)))),
% 27.17/18.51 inference(transitivity,[status(thm)],[32825, 32823])).
% 27.17/18.51 tff(32827,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB136, constB137)) | v1(constB137) | (~v180(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32828,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v180(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32827, 32826])).
% 27.17/18.51 tff(32829,plain,
% 27.17/18.51 (~v180(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32828, 19439, 17123, 17120])).
% 27.17/18.51 tff(32830,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32831,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32832,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB136, constB137)) | v180(constB137) | (~v179(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32831, 32830])).
% 27.17/18.51 tff(32833,plain,
% 27.17/18.51 (v180(constB137) | (~v179(constB137))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32832, 19456, 17123])).
% 27.17/18.51 tff(32834,plain,
% 27.17/18.51 (~v179(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32833, 32829])).
% 27.17/18.51 tff(32835,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32836,plain,
% 27.17/18.51 (((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137))) <=> (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32837,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))))),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32836])).
% 27.17/18.51 tff(32838,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137)))),
% 27.17/18.51 inference(transitivity,[status(thm)],[32837, 32835])).
% 27.17/18.51 tff(32839,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB136, constB137)) | v179(constB137) | v159(constB136) | (~v159(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32840,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB136) | (~nextState(constB136, constB137)) | v179(constB137) | (~v159(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 27.17/18.51 tff(32841,plain,
% 27.17/18.51 (v159(constB136) | v179(constB137) | (~v159(constB137))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32840, 19471, 17123])).
% 27.17/18.51 tff(32842,plain,
% 27.17/18.51 (v159(constB136) | (~v159(constB137))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32841, 32834])).
% 27.17/18.51 tff(32843,plain,
% 27.17/18.51 (~v159(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32842, 32822])).
% 27.17/18.51 tff(32844,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32845,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB137) | (~v201(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32846,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB137) | (~v201(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 27.17/18.51 tff(32847,plain,
% 27.17/18.51 (~v201(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32846, 19490, 32843])).
% 27.17/18.51 tff(32848,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32849,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB137) | (~v200(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32850,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB137) | (~v200(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 27.17/18.51 tff(32851,plain,
% 27.17/18.51 (~v200(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32850, 8143, 32847])).
% 27.17/18.51 tff(32852,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32853,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB137) | (~v198(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32854,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB137) | (~v198(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 27.17/18.51 tff(32855,plain,
% 27.17/18.51 (~v198(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32854, 8157, 32851])).
% 27.17/18.51 tff(32856,assumption,(v18(constB138)), introduced(assumption)).
% 27.17/18.51 tff(32857,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB138))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32858,plain,
% 27.17/18.51 ($false),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32857, 8, 32856])).
% 27.17/18.51 tff(32859,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.51 tff(32860,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32861,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32862,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 27.17/18.51 tff(32863,plain,
% 27.17/18.51 (v22(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32862, 24, 17280])).
% 27.17/18.51 tff(32864,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32865,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32866,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 27.17/18.51 tff(32867,plain,
% 27.17/18.51 (v18(constB138) | (~v19(constB138))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32866, 38, 32863])).
% 27.17/18.51 tff(32868,plain,
% 27.17/18.51 (~v19(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32867, 32859])).
% 27.17/18.51 tff(32869,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32870,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32871,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32870, 32869])).
% 27.17/18.51 tff(32872,plain,
% 27.17/18.51 (v13(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32871, 50, 32868])).
% 27.17/18.51 tff(32873,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32874,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32875,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 27.17/18.51 tff(32876,plain,
% 27.17/18.51 (v9(constB137) | (~v13(constB138))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32875, 67, 17257])).
% 27.17/18.51 tff(32877,plain,
% 27.17/18.51 (v9(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32876, 32872])).
% 27.17/18.51 tff(32878,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v197(constB137))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB137) | (~v9(constB137)) | v197(constB137))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32879,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v197(constB137))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32880,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB137) | (~v9(constB137)) | v197(constB137)),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32879, 32878])).
% 27.17/18.51 tff(32881,plain,
% 27.17/18.51 ((~v9(constB137)) | v197(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32880, 85, 17120])).
% 27.17/18.51 tff(32882,plain,
% 27.17/18.51 (v197(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32881, 32877])).
% 27.17/18.51 tff(32883,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB137) | (~v197(constB137)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB137) | (~v197(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32884,plain,
% 27.17/18.51 (((~v197(constB137)) | v196(constB137)) <=> (v196(constB137) | (~v197(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32885,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB137)) | v196(constB137))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB137) | (~v197(constB137))))),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32884])).
% 27.17/18.51 tff(32886,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB137)) | v196(constB137))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB137) | (~v197(constB137)))),
% 27.17/18.51 inference(transitivity,[status(thm)],[32885, 32883])).
% 27.17/18.51 tff(32887,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB137)) | v196(constB137))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32888,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB137) | (~v197(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 27.17/18.51 tff(32889,plain,
% 27.17/18.51 (v196(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32888, 97, 32882])).
% 27.17/18.51 tff(32890,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB137)) | (~v196(constB137)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB137)) | (~v196(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32891,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB137)) | (~v196(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32892,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB137)) | (~v196(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 27.17/18.51 tff(32893,plain,
% 27.17/18.51 (~v194(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32892, 108, 32889])).
% 27.17/18.51 tff(32894,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32895,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB137) | v198(constB137) | (~v191(constB137)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32896,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB137) | v198(constB137) | (~v191(constB137))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32895, 32894])).
% 27.17/18.51 tff(32897,plain,
% 27.17/18.51 (v198(constB137) | (~v191(constB137))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32896, 8171, 32893])).
% 27.17/18.51 tff(32898,plain,
% 27.17/18.51 (~v191(constB137)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32897, 32855])).
% 27.17/18.51 tff(32899,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32900,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32901,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB137, constB138)) | v191(constB137) | (~v193(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 27.17/18.51 tff(32902,plain,
% 27.17/18.51 (v191(constB137) | (~v193(constB138))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32901, 8186, 17257])).
% 27.17/18.51 tff(32903,plain,
% 27.17/18.51 (~v193(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32902, 32898])).
% 27.17/18.51 tff(32904,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32905,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB138) | (~v194(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32906,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB138) | (~v194(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32905, 32904])).
% 27.17/18.51 tff(32907,plain,
% 27.17/18.51 (~v194(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32906, 8201, 32903])).
% 27.17/18.51 tff(32908,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32909,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB138)) | (~v197(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32910,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB138)) | (~v197(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 27.17/18.51 tff(32911,plain,
% 27.17/18.51 (~v197(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32910, 8215, 17280])).
% 27.17/18.51 tff(32912,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32913,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB138) | (~v200(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32914,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB138) | (~v200(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32913, 32912])).
% 27.17/18.51 tff(32915,plain,
% 27.17/18.51 (~v200(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32914, 8229, 32911])).
% 27.17/18.51 tff(32916,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32917,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB138) | (~v198(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32918,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB138) | (~v198(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 27.17/18.51 tff(32919,plain,
% 27.17/18.51 (~v198(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32918, 8157, 32915])).
% 27.17/18.51 tff(32920,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32921,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB138) | v198(constB138) | (~v191(constB138)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32922,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB138) | v198(constB138) | (~v191(constB138))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32921, 32920])).
% 27.17/18.51 tff(32923,plain,
% 27.17/18.51 (v194(constB138) | (~v191(constB138))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32922, 8171, 32919])).
% 27.17/18.51 tff(32924,plain,
% 27.17/18.51 (~v191(constB138)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32923, 32907])).
% 27.17/18.51 tff(32925,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32926,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32927,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB138, constB139)) | v191(constB138) | (~v193(constB139))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32926, 32925])).
% 27.17/18.51 tff(32928,plain,
% 27.17/18.51 (v191(constB138) | (~v193(constB139))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32927, 8186, 17325])).
% 27.17/18.51 tff(32929,plain,
% 27.17/18.51 (~v193(constB139)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32928, 32924])).
% 27.17/18.51 tff(32930,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB139) | (~v194(constB139)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB139) | (~v194(constB139)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32931,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB139) | (~v194(constB139)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32932,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB139) | (~v194(constB139))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32931, 32930])).
% 27.17/18.51 tff(32933,plain,
% 27.17/18.51 (~v194(constB139)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32932, 8201, 32929])).
% 27.17/18.51 tff(32934,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB139) | v198(constB139) | (~v191(constB139)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB139) | v198(constB139) | (~v191(constB139)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32935,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB139) | v198(constB139) | (~v191(constB139)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32936,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB139) | v198(constB139) | (~v191(constB139))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32935, 32934])).
% 27.17/18.51 tff(32937,plain,
% 27.17/18.51 (v198(constB139) | (~v191(constB139))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32936, 8171, 32933])).
% 27.17/18.51 tff(32938,plain,
% 27.17/18.51 (~v191(constB139)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32937, 32739])).
% 27.17/18.51 tff(32939,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32940,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32941,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB139, constB140)) | v191(constB139) | (~v193(constB140))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 27.17/18.51 tff(32942,plain,
% 27.17/18.51 (v191(constB139) | (~v193(constB140))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32941, 8186, 17452])).
% 27.17/18.51 tff(32943,plain,
% 27.17/18.51 (~v193(constB140)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32942, 32938])).
% 27.17/18.51 tff(32944,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB140) | (~v194(constB140)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB140) | (~v194(constB140)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32945,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB140) | (~v194(constB140)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32946,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB140) | (~v194(constB140))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32945, 32944])).
% 27.17/18.51 tff(32947,plain,
% 27.17/18.51 (~v194(constB140)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32946, 8201, 32943])).
% 27.17/18.51 tff(32948,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB140)) | (~v197(constB140)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB140)) | (~v197(constB140)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32949,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB140)) | (~v197(constB140)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32950,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB140)) | (~v197(constB140))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32949, 32948])).
% 27.17/18.51 tff(32951,plain,
% 27.17/18.51 (~v197(constB140)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32950, 8215, 17475])).
% 27.17/18.51 tff(32952,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB140) | (~v200(constB140)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB140) | (~v200(constB140)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32953,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB140) | (~v200(constB140)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32954,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB140) | (~v200(constB140))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32953, 32952])).
% 27.17/18.51 tff(32955,plain,
% 27.17/18.51 (~v200(constB140)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32954, 8229, 32951])).
% 27.17/18.51 tff(32956,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB140) | (~v198(constB140)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB140) | (~v198(constB140)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32957,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB140) | (~v198(constB140)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32958,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB140) | (~v198(constB140))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32957, 32956])).
% 27.17/18.51 tff(32959,plain,
% 27.17/18.51 (~v198(constB140)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32958, 8157, 32955])).
% 27.17/18.51 tff(32960,plain,
% 27.17/18.51 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB140) | v198(constB140) | (~v191(constB140)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB140) | v198(constB140) | (~v191(constB140)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32961,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB140) | v198(constB140) | (~v191(constB140)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32962,plain,
% 27.17/18.51 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB140) | v198(constB140) | (~v191(constB140))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32961, 32960])).
% 27.17/18.51 tff(32963,plain,
% 27.17/18.51 (v194(constB140) | (~v191(constB140))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32962, 8171, 32959])).
% 27.17/18.51 tff(32964,plain,
% 27.17/18.51 (~v191(constB140)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32963, 32947])).
% 27.17/18.51 tff(32965,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32966,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32967,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB140, constB141)) | v191(constB140) | (~v193(constB141))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32966, 32965])).
% 27.17/18.51 tff(32968,plain,
% 27.17/18.51 (v191(constB140) | (~v193(constB141))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32967, 8186, 17520])).
% 27.17/18.51 tff(32969,plain,
% 27.17/18.51 (~v193(constB141)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32968, 32964])).
% 27.17/18.51 tff(32970,plain,
% 27.17/18.51 ($false),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32969, 32627])).
% 27.17/18.51 tff(32971,plain,(~(constB141 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.51 tff(32972,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 27.17/18.51 tff(32973,plain,
% 27.17/18.51 (v193(constB65) <=> v193(sK0_VarCurr)),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32972])).
% 27.17/18.51 tff(32974,plain,
% 27.17/18.51 (v193(sK0_VarCurr) <=> v193(constB65)),
% 27.17/18.51 inference(symmetry,[status(thm)],[32973])).
% 27.17/18.51 tff(32975,plain,
% 27.17/18.51 (v193(constB65)),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[8270, 32974])).
% 27.17/18.51 tff(32976,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32977,plain,
% 27.17/18.51 (((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62))) <=> (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32978,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62))))),
% 27.17/18.51 inference(monotonicity,[status(thm)],[32977])).
% 27.17/18.51 tff(32979,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62)))),
% 27.17/18.51 inference(transitivity,[status(thm)],[32978, 32976])).
% 27.17/18.51 tff(32980,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB61, constB62)) | v163(constB61) | (~v186(constB62)))),
% 27.17/18.51 inference(quant_inst,[status(thm)],[])).
% 27.17/18.51 tff(32981,plain,
% 27.17/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB61) | (~nextState(constB61, constB62)) | (~v186(constB62))),
% 27.17/18.51 inference(modus_ponens,[status(thm)],[32980, 32979])).
% 27.17/18.51 tff(32982,plain,
% 27.17/18.51 (v163(constB61) | (~v186(constB62))),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32981, 19345, 57])).
% 27.17/18.51 tff(32983,plain,
% 27.17/18.51 (~v186(constB62)),
% 27.17/18.51 inference(unit_resolution,[status(thm)],[32982, 8119])).
% 27.17/18.51 tff(32984,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32985,plain,
% 27.17/18.51 (((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62)) <=> ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 27.17/18.51 inference(rewrite,[status(thm)],[])).
% 27.17/18.51 tff(32986,plain,
% 27.17/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v181(constB62) | v104(constB62)))),
% 27.17/18.52 inference(monotonicity,[status(thm)],[32985])).
% 27.17/18.52 tff(32987,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62))),
% 27.17/18.52 inference(transitivity,[status(thm)],[32986, 32984])).
% 27.17/18.52 tff(32988,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | v181(constB62))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(32989,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB61, constB62)) | v181(constB62) | v104(constB62)),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[32988, 32987])).
% 27.17/18.52 tff(32990,plain,
% 27.17/18.52 (v181(constB62) | v104(constB62)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[32989, 19367, 57])).
% 27.17/18.52 tff(32991,plain,
% 27.17/18.52 (v181(constB62)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[32990, 8531])).
% 27.17/18.52 tff(32992,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(32993,plain,
% 27.17/18.52 (((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62))) <=> ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(32994,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62))))),
% 27.17/18.52 inference(monotonicity,[status(thm)],[32993])).
% 27.17/18.52 tff(32995,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62)))),
% 27.17/18.52 inference(transitivity,[status(thm)],[32994, 32992])).
% 27.17/18.52 tff(32996,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB61, constB62)) | (~v1(constB62)) | v180(constB62) | (~v181(constB62)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(32997,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB61, constB62)) | v180(constB62) | (~v1(constB62)) | (~v181(constB62))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[32996, 32995])).
% 27.17/18.52 tff(32998,plain,
% 27.17/18.52 (v180(constB62) | (~v181(constB62))),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[32997, 19385, 57, 14])).
% 27.17/18.52 tff(32999,plain,
% 27.17/18.52 (v180(constB62)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[32998, 32991])).
% 27.17/18.52 tff(33000,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33001,plain,
% 27.17/18.52 (((~nextState(constB61, constB62)) | (~v180(constB62)) | v179(constB62)) <=> ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33002,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB61, constB62)) | (~v180(constB62)) | v179(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62))))),
% 27.17/18.52 inference(monotonicity,[status(thm)],[33001])).
% 27.17/18.52 tff(33003,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB61, constB62)) | (~v180(constB62)) | v179(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62)))),
% 27.17/18.52 inference(transitivity,[status(thm)],[33002, 33000])).
% 27.17/18.52 tff(33004,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB61, constB62)) | (~v180(constB62)) | v179(constB62))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33005,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB61, constB62)) | v179(constB62) | (~v180(constB62))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33004, 33003])).
% 27.17/18.52 tff(33006,plain,
% 27.17/18.52 (v179(constB62) | (~v180(constB62))),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33005, 19403, 57])).
% 27.17/18.52 tff(33007,plain,
% 27.17/18.52 (v179(constB62)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33006, 32999])).
% 27.17/18.52 tff(33008,plain,
% 27.17/18.52 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB62) | (~v159(constB62)) | (~v179(constB62)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB62) | (~v159(constB62)) | (~v179(constB62)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33009,plain,
% 27.17/18.52 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB62) | (~v159(constB62)) | (~v179(constB62)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33010,plain,
% 27.17/18.52 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB62) | (~v159(constB62)) | (~v179(constB62))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33009, 33008])).
% 27.17/18.52 tff(33011,plain,
% 27.17/18.52 (v186(constB62) | (~v159(constB62))),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33010, 19421, 33007])).
% 27.17/18.52 tff(33012,plain,
% 27.17/18.52 (~v159(constB62)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33011, 32983])).
% 27.17/18.52 tff(33013,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33014,plain,
% 27.17/18.52 (((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63))) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33015,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63))))),
% 27.17/18.52 inference(monotonicity,[status(thm)],[33014])).
% 27.17/18.52 tff(33016,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63)))),
% 27.17/18.52 inference(transitivity,[status(thm)],[33015, 33013])).
% 27.17/18.52 tff(33017,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v1(constB63) | (~v180(constB63)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33018,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v180(constB63))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33017, 33016])).
% 27.17/18.52 tff(33019,plain,
% 27.17/18.52 (~v180(constB63)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33018, 19439, 8245, 8605])).
% 27.17/18.52 tff(33020,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33021,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33022,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB62, constB63)) | v180(constB63) | (~v179(constB63))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33021, 33020])).
% 27.17/18.52 tff(33023,plain,
% 27.17/18.52 (v180(constB63) | (~v179(constB63))),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33022, 19456, 8245])).
% 27.17/18.52 tff(33024,plain,
% 27.17/18.52 (~v179(constB63)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33023, 33019])).
% 27.17/18.52 tff(33025,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33026,plain,
% 27.17/18.52 (((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63))) <=> (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33027,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63))))),
% 27.17/18.52 inference(monotonicity,[status(thm)],[33026])).
% 27.17/18.52 tff(33028,plain,
% 27.17/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63)))),
% 27.17/18.52 inference(transitivity,[status(thm)],[33027, 33025])).
% 27.17/18.52 tff(33029,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB62, constB63)) | v179(constB63) | v159(constB62) | (~v159(constB63)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33030,plain,
% 27.17/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB62) | (~nextState(constB62, constB63)) | v179(constB63) | (~v159(constB63))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33029, 33028])).
% 27.17/18.52 tff(33031,plain,
% 27.17/18.52 (v159(constB62) | v179(constB63) | (~v159(constB63))),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33030, 19471, 8245])).
% 27.17/18.52 tff(33032,plain,
% 27.17/18.52 (v159(constB62) | (~v159(constB63))),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33031, 33024])).
% 27.17/18.52 tff(33033,plain,
% 27.17/18.52 (~v159(constB63)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33032, 33012])).
% 27.17/18.52 tff(33034,plain,
% 27.17/18.52 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB63) | (~v201(constB63)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB63) | (~v201(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33035,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB63) | (~v201(constB63)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33036,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB63) | (~v201(constB63))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33035, 33034])).
% 27.17/18.52 tff(33037,plain,
% 27.17/18.52 (~v201(constB63)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33036, 19490, 33033])).
% 27.17/18.52 tff(33038,plain,
% 27.17/18.52 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB63) | (~v200(constB63)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB63) | (~v200(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33039,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB63) | (~v200(constB63)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33040,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB63) | (~v200(constB63))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33039, 33038])).
% 27.17/18.52 tff(33041,plain,
% 27.17/18.52 (~v200(constB63)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33040, 8143, 33037])).
% 27.17/18.52 tff(33042,plain,
% 27.17/18.52 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB63) | (~v198(constB63)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB63) | (~v198(constB63)))),
% 27.17/18.52 inference(rewrite,[status(thm)],[])).
% 27.17/18.52 tff(33043,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB63) | (~v198(constB63)))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33044,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB63) | (~v198(constB63))),
% 27.17/18.52 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 27.17/18.52 tff(33045,plain,
% 27.17/18.52 (~v198(constB63)),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33044, 8157, 33041])).
% 27.17/18.52 tff(33046,assumption,(v18(constB64)), introduced(assumption)).
% 27.17/18.52 tff(33047,plain,
% 27.17/18.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB64))),
% 27.17/18.52 inference(quant_inst,[status(thm)],[])).
% 27.17/18.52 tff(33048,plain,
% 27.17/18.52 ($false),
% 27.17/18.52 inference(unit_resolution,[status(thm)],[33047, 8, 33046])).
% 27.17/18.52 tff(33049,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 27.17/18.52 tff(33050,plain,
% 27.17/18.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33051,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33052,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33051, 33050])).
% 27.25/18.52 tff(33053,plain,
% 27.25/18.52 (v22(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33052, 24, 8773])).
% 27.25/18.52 tff(33054,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33055,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33056,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33055, 33054])).
% 27.25/18.52 tff(33057,plain,
% 27.25/18.52 (v18(constB64) | (~v19(constB64))),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33056, 38, 33053])).
% 27.25/18.52 tff(33058,plain,
% 27.25/18.52 (~v19(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33057, 33049])).
% 27.25/18.52 tff(33059,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33060,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33061,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 27.25/18.52 tff(33062,plain,
% 27.25/18.52 (v13(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33061, 50, 33058])).
% 27.25/18.52 tff(33063,plain,
% 27.25/18.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33064,plain,
% 27.25/18.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33065,plain,
% 27.25/18.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 27.25/18.52 tff(33066,plain,
% 27.25/18.52 (v9(constB63) | (~v13(constB64))),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33065, 67, 8750])).
% 27.25/18.52 tff(33067,plain,
% 27.25/18.52 (v9(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33066, 33062])).
% 27.25/18.52 tff(33068,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v197(constB63))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB63) | (~v9(constB63)) | v197(constB63))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33069,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v197(constB63))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33070,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB63) | (~v9(constB63)) | v197(constB63)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33069, 33068])).
% 27.25/18.52 tff(33071,plain,
% 27.25/18.52 ((~v9(constB63)) | v197(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33070, 85, 8605])).
% 27.25/18.52 tff(33072,plain,
% 27.25/18.52 (v197(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33071, 33067])).
% 27.25/18.52 tff(33073,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB63)) | v196(constB63))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB63)) | v196(constB63))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33074,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB63)) | v196(constB63))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33075,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB63)) | v196(constB63)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33074, 33073])).
% 27.25/18.52 tff(33076,plain,
% 27.25/18.52 (v196(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33075, 97, 33072])).
% 27.25/18.52 tff(33077,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB63)) | (~v196(constB63)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB63)) | (~v196(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33078,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB63)) | (~v196(constB63)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33079,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB63)) | (~v196(constB63))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33078, 33077])).
% 27.25/18.52 tff(33080,plain,
% 27.25/18.52 (~v194(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33079, 108, 33076])).
% 27.25/18.52 tff(33081,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB63) | v198(constB63) | (~v191(constB63)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB63) | v198(constB63) | (~v191(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33082,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB63) | v198(constB63) | (~v191(constB63)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33083,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB63) | v198(constB63) | (~v191(constB63))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33082, 33081])).
% 27.25/18.52 tff(33084,plain,
% 27.25/18.52 (v198(constB63) | (~v191(constB63))),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33083, 8171, 33080])).
% 27.25/18.52 tff(33085,plain,
% 27.25/18.52 (~v191(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33084, 33045])).
% 27.25/18.52 tff(33086,plain,
% 27.25/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33087,plain,
% 27.25/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33088,plain,
% 27.25/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB63, constB64)) | v191(constB63) | (~v193(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 27.25/18.52 tff(33089,plain,
% 27.25/18.52 (v191(constB63) | (~v193(constB64))),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33088, 8186, 8750])).
% 27.25/18.52 tff(33090,plain,
% 27.25/18.52 (~v193(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33089, 33085])).
% 27.25/18.52 tff(33091,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB64) | (~v194(constB64)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB64) | (~v194(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33092,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB64) | (~v194(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33093,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB64) | (~v194(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33092, 33091])).
% 27.25/18.52 tff(33094,plain,
% 27.25/18.52 (~v194(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33093, 8201, 33090])).
% 27.25/18.52 tff(33095,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB64)) | (~v197(constB64)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB64)) | (~v197(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33096,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB64)) | (~v197(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33097,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB64)) | (~v197(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 27.25/18.52 tff(33098,plain,
% 27.25/18.52 (~v197(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33097, 8215, 8773])).
% 27.25/18.52 tff(33099,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB64) | (~v200(constB64)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB64) | (~v200(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33100,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB64) | (~v200(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33101,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB64) | (~v200(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33100, 33099])).
% 27.25/18.52 tff(33102,plain,
% 27.25/18.52 (~v200(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33101, 8229, 33098])).
% 27.25/18.52 tff(33103,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB64) | (~v198(constB64)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB64) | (~v198(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33104,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB64) | (~v198(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33105,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB64) | (~v198(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33104, 33103])).
% 27.25/18.52 tff(33106,plain,
% 27.25/18.52 (~v198(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33105, 8157, 33102])).
% 27.25/18.52 tff(33107,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB64) | v198(constB64) | (~v191(constB64)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB64) | v198(constB64) | (~v191(constB64)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33108,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB64) | v198(constB64) | (~v191(constB64)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33109,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB64) | v198(constB64) | (~v191(constB64))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33108, 33107])).
% 27.25/18.52 tff(33110,plain,
% 27.25/18.52 (v194(constB64) | (~v191(constB64))),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33109, 8171, 33106])).
% 27.25/18.52 tff(33111,plain,
% 27.25/18.52 (~v191(constB64)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33110, 33094])).
% 27.25/18.52 tff(33112,plain,
% 27.25/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33113,plain,
% 27.25/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33114,plain,
% 27.25/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB64, constB65)) | v191(constB64) | (~v193(constB65))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33113, 33112])).
% 27.25/18.52 tff(33115,plain,
% 27.25/18.52 (v191(constB64) | (~v193(constB65))),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33114, 8186, 8818])).
% 27.25/18.52 tff(33116,plain,
% 27.25/18.52 (~v193(constB65)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33115, 33111])).
% 27.25/18.52 tff(33117,plain,
% 27.25/18.52 ($false),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33116, 32975])).
% 27.25/18.52 tff(33118,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.52 tff(33119,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.52 tff(33120,plain,
% 27.25/18.52 (v193(constB67) <=> v193(sK0_VarCurr)),
% 27.25/18.52 inference(monotonicity,[status(thm)],[33119])).
% 27.25/18.52 tff(33121,plain,
% 27.25/18.52 (v193(sK0_VarCurr) <=> v193(constB67)),
% 27.25/18.52 inference(symmetry,[status(thm)],[33120])).
% 27.25/18.52 tff(33122,plain,
% 27.25/18.52 (v193(constB67)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[8270, 33121])).
% 27.25/18.52 tff(33123,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB63, bitIndex2)) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB63, bitIndex2)) | v90(constB63, bitIndex2))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33124,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB63, bitIndex2)) | v90(constB63, bitIndex2))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33125,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB63, bitIndex2)) | v90(constB63, bitIndex2)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33124, 33123])).
% 27.25/18.52 tff(33126,plain,
% 27.25/18.52 (~v88(constB63, bitIndex2)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33125, 25366, 8626])).
% 27.25/18.52 tff(33127,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33128,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33129,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB63, bitIndex1)) | v90(constB63, bitIndex1)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33128, 33127])).
% 27.25/18.52 tff(33130,plain,
% 27.25/18.52 (~v88(constB63, bitIndex1)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33129, 25377, 8660])).
% 27.25/18.52 tff(33131,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33132,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33133,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33132, 33131])).
% 27.25/18.52 tff(33134,plain,
% 27.25/18.52 (v88(constB63, bitIndex0)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33133, 26352, 8691])).
% 27.25/18.52 tff(33135,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63) | v88(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63) | v88(constB63, bitIndex2))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33136,plain,
% 27.25/18.52 ((v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63)) <=> (v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63) | v88(constB63, bitIndex2))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33137,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63) | v88(constB63, bitIndex2)))),
% 27.25/18.52 inference(monotonicity,[status(thm)],[33136])).
% 27.25/18.52 tff(33138,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63) | v88(constB63, bitIndex2))),
% 27.25/18.52 inference(transitivity,[status(thm)],[33137, 33135])).
% 27.25/18.52 tff(33139,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33140,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63) | v88(constB63, bitIndex2)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33139, 33138])).
% 27.25/18.52 tff(33141,plain,
% 27.25/18.52 (v140(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33140, 26773, 33134, 33130, 33126])).
% 27.25/18.52 tff(33142,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB63) | (~v140(constB63)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB63) | (~v140(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33143,plain,
% 27.25/18.52 (((~v140(constB63)) | v169(constB63)) <=> (v169(constB63) | (~v140(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33144,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB63)) | v169(constB63))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB63) | (~v140(constB63))))),
% 27.25/18.52 inference(monotonicity,[status(thm)],[33143])).
% 27.25/18.52 tff(33145,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB63)) | v169(constB63))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB63) | (~v140(constB63)))),
% 27.25/18.52 inference(transitivity,[status(thm)],[33144, 33142])).
% 27.25/18.52 tff(33146,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB63)) | v169(constB63))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33147,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB63) | (~v140(constB63))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33146, 33145])).
% 27.25/18.52 tff(33148,plain,
% 27.25/18.52 (v169(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33147, 26787, 33141])).
% 27.25/18.52 tff(33149,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB63) | (~v169(constB63)))) <=> ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB63) | (~v169(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33150,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | (v168(constB63) | (~v169(constB63)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33151,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v168(VarCurr) | (~v169(VarCurr)))) | v168(constB63) | (~v169(constB63))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33150, 33149])).
% 27.25/18.52 tff(33152,plain,
% 27.25/18.52 (v168(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33151, 23060, 33148])).
% 27.25/18.52 tff(33153,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB63)) | v167(constB63))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB63)) | v167(constB63))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33154,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB63)) | v167(constB63))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33155,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (~v168(constB63)) | v167(constB63)),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33154, 33153])).
% 27.25/18.52 tff(33156,plain,
% 27.25/18.52 (v167(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33155, 23043, 33152])).
% 27.25/18.52 tff(33157,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB63)) | (~v170(constB63)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB63)) | (~v170(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33158,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB63)) | (~v170(constB63)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33159,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB63)) | (~v170(constB63))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33158, 33157])).
% 27.25/18.52 tff(33160,plain,
% 27.25/18.52 (~v170(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33159, 8084, 33156])).
% 27.25/18.52 tff(33161,plain,
% 27.25/18.52 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB63) | (~v167(constB63)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB63) | (~v167(constB63)))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33162,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB63) | (~v167(constB63)))),
% 27.25/18.52 inference(quant_inst,[status(thm)],[])).
% 27.25/18.52 tff(33163,plain,
% 27.25/18.52 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB63) | (~v167(constB63))),
% 27.25/18.52 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 27.25/18.52 tff(33164,plain,
% 27.25/18.52 (v166(constB63)),
% 27.25/18.52 inference(unit_resolution,[status(thm)],[33163, 8098, 33156])).
% 27.25/18.52 tff(33165,plain,
% 27.25/18.52 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB63)) | (~v166(constB63)) | v170(constB63))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33166,plain,
% 27.25/18.52 (((~v166(constB63)) | v170(constB63) | (~v163(constB63))) <=> ((~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 27.25/18.52 inference(rewrite,[status(thm)],[])).
% 27.25/18.52 tff(33167,plain,
% 27.25/18.52 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB63)) | (~v166(constB63)) | v170(constB63)))),
% 27.25/18.52 inference(monotonicity,[status(thm)],[33166])).
% 27.25/18.52 tff(33168,plain,
% 27.25/18.52 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33167, 33165])).
% 27.25/18.53 tff(33169,plain,
% 27.25/18.53 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB63)) | v170(constB63) | (~v163(constB63)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33170,plain,
% 27.25/18.53 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB63)) | (~v166(constB63)) | v170(constB63)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33169, 33168])).
% 27.25/18.53 tff(33171,plain,
% 27.25/18.53 (~v163(constB63)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33170, 8112, 33164, 33160])).
% 27.25/18.53 tff(33172,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33173,plain,
% 27.25/18.53 (((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64))) <=> (v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33174,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64))))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33173])).
% 27.25/18.53 tff(33175,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64)))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33174, 33172])).
% 27.25/18.53 tff(33176,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB63, constB64)) | v163(constB63) | (~v186(constB64)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33177,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB63) | (~nextState(constB63, constB64)) | (~v186(constB64))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33176, 33175])).
% 27.25/18.53 tff(33178,plain,
% 27.25/18.53 (v163(constB63) | (~v186(constB64))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33177, 19345, 8750])).
% 27.25/18.53 tff(33179,plain,
% 27.25/18.53 (~v186(constB64)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33178, 33171])).
% 27.25/18.53 tff(33180,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33181,plain,
% 27.25/18.53 (((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64)) <=> ((~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33182,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v181(constB64) | v104(constB64)))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33181])).
% 27.25/18.53 tff(33183,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB63, constB64)) | v181(constB64) | v104(constB64))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33182, 33180])).
% 27.25/18.53 tff(33184,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | v181(constB64))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33185,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB63, constB64)) | v181(constB64) | v104(constB64)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 27.25/18.53 tff(33186,plain,
% 27.25/18.53 (v181(constB64) | v104(constB64)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33185, 19367, 8750])).
% 27.25/18.53 tff(33187,plain,
% 27.25/18.53 (v181(constB64)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33186, 8762])).
% 27.25/18.53 tff(33188,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33189,plain,
% 27.25/18.53 (((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64))) <=> ((~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33190,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64))))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33189])).
% 27.25/18.53 tff(33191,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64)))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33190, 33188])).
% 27.25/18.53 tff(33192,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB63, constB64)) | (~v1(constB64)) | v180(constB64) | (~v181(constB64)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33193,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB63, constB64)) | v180(constB64) | (~v1(constB64)) | (~v181(constB64))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33192, 33191])).
% 27.25/18.53 tff(33194,plain,
% 27.25/18.53 (v180(constB64) | (~v181(constB64))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33193, 19385, 8750, 8773])).
% 27.25/18.53 tff(33195,plain,
% 27.25/18.53 (v180(constB64)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33194, 33187])).
% 27.25/18.53 tff(33196,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33197,plain,
% 27.25/18.53 (((~nextState(constB63, constB64)) | (~v180(constB64)) | v179(constB64)) <=> ((~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33198,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB63, constB64)) | (~v180(constB64)) | v179(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64))))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33197])).
% 27.25/18.53 tff(33199,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB63, constB64)) | (~v180(constB64)) | v179(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64)))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33198, 33196])).
% 27.25/18.53 tff(33200,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB63, constB64)) | (~v180(constB64)) | v179(constB64))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33201,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB63, constB64)) | v179(constB64) | (~v180(constB64))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 27.25/18.53 tff(33202,plain,
% 27.25/18.53 (v179(constB64) | (~v180(constB64))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33201, 19403, 8750])).
% 27.25/18.53 tff(33203,plain,
% 27.25/18.53 (v179(constB64)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33202, 33195])).
% 27.25/18.53 tff(33204,plain,
% 27.25/18.53 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB64) | (~v159(constB64)) | (~v179(constB64)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB64) | (~v159(constB64)) | (~v179(constB64)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33205,plain,
% 27.25/18.53 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB64) | (~v159(constB64)) | (~v179(constB64)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33206,plain,
% 27.25/18.53 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB64) | (~v159(constB64)) | (~v179(constB64))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33205, 33204])).
% 27.25/18.53 tff(33207,plain,
% 27.25/18.53 (v186(constB64) | (~v159(constB64))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33206, 19421, 33203])).
% 27.25/18.53 tff(33208,plain,
% 27.25/18.53 (~v159(constB64)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33207, 33179])).
% 27.25/18.53 tff(33209,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33210,plain,
% 27.25/18.53 (((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65))) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33211,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65))))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33210])).
% 27.25/18.53 tff(33212,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65)))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33211, 33209])).
% 27.25/18.53 tff(33213,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB64, constB65)) | v1(constB65) | (~v180(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33214,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v180(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33213, 33212])).
% 27.25/18.53 tff(33215,plain,
% 27.25/18.53 (~v180(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33214, 19439, 8818, 8815])).
% 27.25/18.53 tff(33216,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33217,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33218,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB64, constB65)) | v180(constB65) | (~v179(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 27.25/18.53 tff(33219,plain,
% 27.25/18.53 (v180(constB65) | (~v179(constB65))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33218, 19456, 8818])).
% 27.25/18.53 tff(33220,plain,
% 27.25/18.53 (~v179(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33219, 33215])).
% 27.25/18.53 tff(33221,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33222,plain,
% 27.25/18.53 (((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65))) <=> (v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33223,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65))))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33222])).
% 27.25/18.53 tff(33224,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65)))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33223, 33221])).
% 27.25/18.53 tff(33225,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB64, constB65)) | v179(constB65) | v159(constB64) | (~v159(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33226,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB64) | (~nextState(constB64, constB65)) | v179(constB65) | (~v159(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 27.25/18.53 tff(33227,plain,
% 27.25/18.53 (v159(constB64) | v179(constB65) | (~v159(constB65))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33226, 19471, 8818])).
% 27.25/18.53 tff(33228,plain,
% 27.25/18.53 (v159(constB64) | (~v159(constB65))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33227, 33220])).
% 27.25/18.53 tff(33229,plain,
% 27.25/18.53 (~v159(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33228, 33208])).
% 27.25/18.53 tff(33230,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB65) | (~v201(constB65)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB65) | (~v201(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33231,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB65) | (~v201(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33232,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB65) | (~v201(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33231, 33230])).
% 27.25/18.53 tff(33233,plain,
% 27.25/18.53 (~v201(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33232, 19490, 33229])).
% 27.25/18.53 tff(33234,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | (~v200(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33235,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB65) | (~v200(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33236,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB65) | (~v200(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33235, 33234])).
% 27.25/18.53 tff(33237,plain,
% 27.25/18.53 (~v200(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33236, 8143, 33233])).
% 27.25/18.53 tff(33238,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB65) | (~v198(constB65)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB65) | (~v198(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33239,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB65) | (~v198(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33240,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB65) | (~v198(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33239, 33238])).
% 27.25/18.53 tff(33241,plain,
% 27.25/18.53 (~v198(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33240, 8157, 33237])).
% 27.25/18.53 tff(33242,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB65) | (~v194(constB65)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB65) | (~v194(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33243,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB65) | (~v194(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33244,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB65) | (~v194(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33243, 33242])).
% 27.25/18.53 tff(33245,plain,
% 27.25/18.53 (~v194(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33244, 8201, 33116])).
% 27.25/18.53 tff(33246,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB65) | v198(constB65) | (~v191(constB65)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB65) | v198(constB65) | (~v191(constB65)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33247,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB65) | v198(constB65) | (~v191(constB65)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33248,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB65) | v198(constB65) | (~v191(constB65))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33247, 33246])).
% 27.25/18.53 tff(33249,plain,
% 27.25/18.53 (v198(constB65) | (~v191(constB65))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33248, 8171, 33245])).
% 27.25/18.53 tff(33250,plain,
% 27.25/18.53 (~v191(constB65)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33249, 33241])).
% 27.25/18.53 tff(33251,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33252,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33253,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB65, constB66)) | v191(constB65) | (~v193(constB66))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33252, 33251])).
% 27.25/18.53 tff(33254,plain,
% 27.25/18.53 (v191(constB65) | (~v193(constB66))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33253, 8186, 8956])).
% 27.25/18.53 tff(33255,plain,
% 27.25/18.53 (~v193(constB66)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33254, 33250])).
% 27.25/18.53 tff(33256,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB66) | (~v194(constB66)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB66) | (~v194(constB66)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33257,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB66) | (~v194(constB66)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33258,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB66) | (~v194(constB66))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33257, 33256])).
% 27.25/18.53 tff(33259,plain,
% 27.25/18.53 (~v194(constB66)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33258, 8201, 33255])).
% 27.25/18.53 tff(33260,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB66)) | (~v197(constB66)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB66)) | (~v197(constB66)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33261,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB66)) | (~v197(constB66)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33262,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB66)) | (~v197(constB66))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33261, 33260])).
% 27.25/18.53 tff(33263,plain,
% 27.25/18.53 (~v197(constB66)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33262, 8215, 8979])).
% 27.25/18.53 tff(33264,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB66) | (~v200(constB66)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB66) | (~v200(constB66)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33265,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB66) | (~v200(constB66)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33266,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB66) | (~v200(constB66))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33265, 33264])).
% 27.25/18.53 tff(33267,plain,
% 27.25/18.53 (~v200(constB66)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33266, 8229, 33263])).
% 27.25/18.53 tff(33268,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB66) | (~v198(constB66)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB66) | (~v198(constB66)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33269,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB66) | (~v198(constB66)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33270,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB66) | (~v198(constB66))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 27.25/18.53 tff(33271,plain,
% 27.25/18.53 (~v198(constB66)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33270, 8157, 33267])).
% 27.25/18.53 tff(33272,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB66) | v198(constB66) | (~v191(constB66)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB66) | v198(constB66) | (~v191(constB66)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33273,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB66) | v198(constB66) | (~v191(constB66)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33274,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB66) | v198(constB66) | (~v191(constB66))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33273, 33272])).
% 27.25/18.53 tff(33275,plain,
% 27.25/18.53 (v194(constB66) | (~v191(constB66))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33274, 8171, 33271])).
% 27.25/18.53 tff(33276,plain,
% 27.25/18.53 (~v191(constB66)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33275, 33259])).
% 27.25/18.53 tff(33277,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33278,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33279,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB66, constB67)) | v191(constB66) | (~v193(constB67))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33278, 33277])).
% 27.25/18.53 tff(33280,plain,
% 27.25/18.53 (v191(constB66) | (~v193(constB67))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33279, 8186, 9024])).
% 27.25/18.53 tff(33281,plain,
% 27.25/18.53 (~v193(constB67)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33280, 33276])).
% 27.25/18.53 tff(33282,plain,
% 27.25/18.53 ($false),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33281, 33122])).
% 27.25/18.53 tff(33283,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.53 tff(33284,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.53 tff(33285,plain,
% 27.25/18.53 (v1(constB140) <=> v1(sK0_VarCurr)),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33284])).
% 27.25/18.53 tff(33286,plain,
% 27.25/18.53 (v1(sK0_VarCurr) <=> v1(constB140)),
% 27.25/18.53 inference(symmetry,[status(thm)],[33285])).
% 27.25/18.53 tff(33287,plain,
% 27.25/18.53 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33286])).
% 27.25/18.53 tff(33288,plain,
% 27.25/18.53 (~v1(constB140)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[25165, 33287])).
% 27.25/18.53 tff(33289,plain,
% 27.25/18.53 ($false),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[17475, 33288])).
% 27.25/18.53 tff(33290,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.53 tff(33291,assumption,(constB172 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.53 tff(33292,plain,
% 27.25/18.53 (v1(constB172) <=> v1(sK0_VarCurr)),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33291])).
% 27.25/18.53 tff(33293,plain,
% 27.25/18.53 (v1(sK0_VarCurr) <=> v1(constB172)),
% 27.25/18.53 inference(symmetry,[status(thm)],[33292])).
% 27.25/18.53 tff(33294,plain,
% 27.25/18.53 ((~v1(sK0_VarCurr)) <=> (~v1(constB172))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33293])).
% 27.25/18.53 tff(33295,plain,
% 27.25/18.53 (~v1(constB172)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[25165, 33294])).
% 27.25/18.53 tff(33296,plain,
% 27.25/18.53 ($false),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[21735, 33295])).
% 27.25/18.53 tff(33297,plain,(~(constB172 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.53 tff(33298,assumption,(constB62 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.53 tff(33299,plain,
% 27.25/18.53 (v1(constB62) <=> v1(sK0_VarCurr)),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33298])).
% 27.25/18.53 tff(33300,plain,
% 27.25/18.53 (v1(sK0_VarCurr) <=> v1(constB62)),
% 27.25/18.53 inference(symmetry,[status(thm)],[33299])).
% 27.25/18.53 tff(33301,plain,
% 27.25/18.53 ((~v1(sK0_VarCurr)) <=> (~v1(constB62))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33300])).
% 27.25/18.53 tff(33302,plain,
% 27.25/18.53 (~v1(constB62)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[25165, 33301])).
% 27.25/18.53 tff(33303,plain,
% 27.25/18.53 ($false),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[14, 33302])).
% 27.25/18.53 tff(33304,plain,(~(constB62 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.53 tff(33305,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.53 tff(33306,plain,
% 27.25/18.53 (v193(constB75) <=> v193(sK0_VarCurr)),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33305])).
% 27.25/18.53 tff(33307,plain,
% 27.25/18.53 (v193(sK0_VarCurr) <=> v193(constB75)),
% 27.25/18.53 inference(symmetry,[status(thm)],[33306])).
% 27.25/18.53 tff(33308,plain,
% 27.25/18.53 (v193(constB75)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[8270, 33307])).
% 27.25/18.53 tff(33309,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB73) | (~v201(constB73)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB73) | (~v201(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33310,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB73) | (~v201(constB73)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33311,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB73) | (~v201(constB73))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33310, 33309])).
% 27.25/18.53 tff(33312,plain,
% 27.25/18.53 (~v201(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33311, 8129, 32309])).
% 27.25/18.53 tff(33313,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB73) | (~v200(constB73)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB73) | (~v200(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33314,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB73) | (~v200(constB73)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33315,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB73) | (~v200(constB73))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33314, 33313])).
% 27.25/18.53 tff(33316,plain,
% 27.25/18.53 (~v200(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33315, 8143, 33312])).
% 27.25/18.53 tff(33317,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB73) | (~v198(constB73)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB73) | (~v198(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33318,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB73) | (~v198(constB73)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33319,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB73) | (~v198(constB73))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 27.25/18.53 tff(33320,plain,
% 27.25/18.53 (~v198(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33319, 8157, 33316])).
% 27.25/18.53 tff(33321,assumption,(v18(constB74)), introduced(assumption)).
% 27.25/18.53 tff(33322,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB74))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33323,plain,
% 27.25/18.53 ($false),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33322, 8, 33321])).
% 27.25/18.53 tff(33324,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.53 tff(33325,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33326,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33327,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33326, 33325])).
% 27.25/18.53 tff(33328,plain,
% 27.25/18.53 (v22(constB74)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33327, 24, 9754])).
% 27.25/18.53 tff(33329,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33330,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33331,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33330, 33329])).
% 27.25/18.53 tff(33332,plain,
% 27.25/18.53 (v18(constB74) | (~v19(constB74))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33331, 38, 33328])).
% 27.25/18.53 tff(33333,plain,
% 27.25/18.53 (~v19(constB74)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33332, 33324])).
% 27.25/18.53 tff(33334,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33335,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33336,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33335, 33334])).
% 27.25/18.53 tff(33337,plain,
% 27.25/18.53 (v13(constB74)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33336, 50, 33333])).
% 27.25/18.53 tff(33338,plain,
% 27.25/18.53 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33339,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33340,plain,
% 27.25/18.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33339, 33338])).
% 27.25/18.53 tff(33341,plain,
% 27.25/18.53 (v9(constB73) | (~v13(constB74))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33340, 67, 9731])).
% 27.25/18.53 tff(33342,plain,
% 27.25/18.53 (v9(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33341, 33337])).
% 27.25/18.53 tff(33343,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v197(constB73))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB73) | (~v9(constB73)) | v197(constB73))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33344,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v197(constB73))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33345,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB73) | (~v9(constB73)) | v197(constB73)),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 27.25/18.53 tff(33346,plain,
% 27.25/18.53 ((~v9(constB73)) | v197(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33345, 85, 9609])).
% 27.25/18.53 tff(33347,plain,
% 27.25/18.53 (v197(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33346, 33342])).
% 27.25/18.53 tff(33348,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB73) | (~v197(constB73)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB73) | (~v197(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33349,plain,
% 27.25/18.53 (((~v197(constB73)) | v196(constB73)) <=> (v196(constB73) | (~v197(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33350,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB73)) | v196(constB73))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB73) | (~v197(constB73))))),
% 27.25/18.53 inference(monotonicity,[status(thm)],[33349])).
% 27.25/18.53 tff(33351,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB73)) | v196(constB73))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB73) | (~v197(constB73)))),
% 27.25/18.53 inference(transitivity,[status(thm)],[33350, 33348])).
% 27.25/18.53 tff(33352,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB73)) | v196(constB73))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33353,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB73) | (~v197(constB73))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 27.25/18.53 tff(33354,plain,
% 27.25/18.53 (v196(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33353, 97, 33347])).
% 27.25/18.53 tff(33355,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB73)) | (~v196(constB73)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB73)) | (~v196(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33356,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB73)) | (~v196(constB73)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33357,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB73)) | (~v196(constB73))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 27.25/18.53 tff(33358,plain,
% 27.25/18.53 (~v194(constB73)),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33357, 108, 33354])).
% 27.25/18.53 tff(33359,plain,
% 27.25/18.53 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB73) | v198(constB73) | (~v191(constB73)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB73) | v198(constB73) | (~v191(constB73)))),
% 27.25/18.53 inference(rewrite,[status(thm)],[])).
% 27.25/18.53 tff(33360,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB73) | v198(constB73) | (~v191(constB73)))),
% 27.25/18.53 inference(quant_inst,[status(thm)],[])).
% 27.25/18.53 tff(33361,plain,
% 27.25/18.53 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB73) | v198(constB73) | (~v191(constB73))),
% 27.25/18.53 inference(modus_ponens,[status(thm)],[33360, 33359])).
% 27.25/18.53 tff(33362,plain,
% 27.25/18.53 (v198(constB73) | (~v191(constB73))),
% 27.25/18.53 inference(unit_resolution,[status(thm)],[33361, 8171, 33358])).
% 27.25/18.53 tff(33363,plain,
% 27.25/18.53 (~v191(constB73)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33362, 33320])).
% 27.25/18.54 tff(33364,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33365,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33366,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB73, constB74)) | v191(constB73) | (~v193(constB74))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33365, 33364])).
% 27.25/18.54 tff(33367,plain,
% 27.25/18.54 (v191(constB73) | (~v193(constB74))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33366, 8186, 9731])).
% 27.25/18.54 tff(33368,plain,
% 27.25/18.54 (~v193(constB74)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33367, 33363])).
% 27.25/18.54 tff(33369,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB74) | (~v194(constB74)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB74) | (~v194(constB74)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33370,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB74) | (~v194(constB74)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33371,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB74) | (~v194(constB74))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33370, 33369])).
% 27.25/18.54 tff(33372,plain,
% 27.25/18.54 (~v194(constB74)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33371, 8201, 33368])).
% 27.25/18.54 tff(33373,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB74)) | (~v197(constB74)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB74)) | (~v197(constB74)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33374,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB74)) | (~v197(constB74)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33375,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB74)) | (~v197(constB74))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33374, 33373])).
% 27.25/18.54 tff(33376,plain,
% 27.25/18.54 (~v197(constB74)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33375, 8215, 9754])).
% 27.25/18.54 tff(33377,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB74) | (~v200(constB74)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB74) | (~v200(constB74)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33378,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB74) | (~v200(constB74)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33379,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB74) | (~v200(constB74))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33378, 33377])).
% 27.25/18.54 tff(33380,plain,
% 27.25/18.54 (~v200(constB74)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33379, 8229, 33376])).
% 27.25/18.54 tff(33381,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB74) | (~v198(constB74)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB74) | (~v198(constB74)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33382,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB74) | (~v198(constB74)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33383,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB74) | (~v198(constB74))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33382, 33381])).
% 27.25/18.54 tff(33384,plain,
% 27.25/18.54 (~v198(constB74)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33383, 8157, 33380])).
% 27.25/18.54 tff(33385,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB74) | v198(constB74) | (~v191(constB74)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB74) | v198(constB74) | (~v191(constB74)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33386,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB74) | v198(constB74) | (~v191(constB74)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33387,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB74) | v198(constB74) | (~v191(constB74))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33386, 33385])).
% 27.25/18.54 tff(33388,plain,
% 27.25/18.54 (v194(constB74) | (~v191(constB74))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33387, 8171, 33384])).
% 27.25/18.54 tff(33389,plain,
% 27.25/18.54 (~v191(constB74)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33388, 33372])).
% 27.25/18.54 tff(33390,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33391,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33392,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB74, constB75)) | v191(constB74) | (~v193(constB75))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33391, 33390])).
% 27.25/18.54 tff(33393,plain,
% 27.25/18.54 (v191(constB74) | (~v193(constB75))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33392, 8186, 9823])).
% 27.25/18.54 tff(33394,plain,
% 27.25/18.54 (~v193(constB75)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33393, 33389])).
% 27.25/18.54 tff(33395,plain,
% 27.25/18.54 ($false),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33394, 33308])).
% 27.25/18.54 tff(33396,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.54 tff(33397,assumption,(constB110 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.54 tff(33398,plain,
% 27.25/18.54 (v1(constB110) <=> v1(sK0_VarCurr)),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33397])).
% 27.25/18.54 tff(33399,plain,
% 27.25/18.54 (v1(sK0_VarCurr) <=> v1(constB110)),
% 27.25/18.54 inference(symmetry,[status(thm)],[33398])).
% 27.25/18.54 tff(33400,plain,
% 27.25/18.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB110))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33399])).
% 27.25/18.54 tff(33401,plain,
% 27.25/18.54 (~v1(constB110)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[25165, 33400])).
% 27.25/18.54 tff(33402,plain,
% 27.25/18.54 ($false),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[13688, 33401])).
% 27.25/18.54 tff(33403,plain,(~(constB110 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.54 tff(33404,assumption,(constB96 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.54 tff(33405,plain,
% 27.25/18.54 (v1(constB96) <=> v1(sK0_VarCurr)),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33404])).
% 27.25/18.54 tff(33406,plain,
% 27.25/18.54 (v1(sK0_VarCurr) <=> v1(constB96)),
% 27.25/18.54 inference(symmetry,[status(thm)],[33405])).
% 27.25/18.54 tff(33407,plain,
% 27.25/18.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB96))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33406])).
% 27.25/18.54 tff(33408,plain,
% 27.25/18.54 (~v1(constB96)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[25165, 33407])).
% 27.25/18.54 tff(33409,plain,
% 27.25/18.54 ($false),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[12277, 33408])).
% 27.25/18.54 tff(33410,plain,(~(constB96 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.54 tff(33411,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.54 tff(33412,plain,
% 27.25/18.54 (v1(constB152) <=> v1(sK0_VarCurr)),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33411])).
% 27.25/18.54 tff(33413,plain,
% 27.25/18.54 (v1(sK0_VarCurr) <=> v1(constB152)),
% 27.25/18.54 inference(symmetry,[status(thm)],[33412])).
% 27.25/18.54 tff(33414,plain,
% 27.25/18.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33413])).
% 27.25/18.54 tff(33415,plain,
% 27.25/18.54 (~v1(constB152)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[25165, 33414])).
% 27.25/18.54 tff(33416,plain,
% 27.25/18.54 ($false),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[18711, 33415])).
% 27.25/18.54 tff(33417,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.54 tff(33418,assumption,(constB160 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.54 tff(33419,plain,
% 27.25/18.54 (v1(constB160) <=> v1(sK0_VarCurr)),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33418])).
% 27.25/18.54 tff(33420,plain,
% 27.25/18.54 (v1(sK0_VarCurr) <=> v1(constB160)),
% 27.25/18.54 inference(symmetry,[status(thm)],[33419])).
% 27.25/18.54 tff(33421,plain,
% 27.25/18.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB160))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33420])).
% 27.25/18.54 tff(33422,plain,
% 27.25/18.54 (~v1(constB160)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[25165, 33421])).
% 27.25/18.54 tff(33423,plain,
% 27.25/18.54 ($false),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[19522, 33422])).
% 27.25/18.54 tff(33424,plain,(~(constB160 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.54 tff(33425,assumption,(constB101 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.54 tff(33426,plain,
% 27.25/18.54 (v193(constB101) <=> v193(sK0_VarCurr)),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33425])).
% 27.25/18.54 tff(33427,plain,
% 27.25/18.54 (v193(sK0_VarCurr) <=> v193(constB101)),
% 27.25/18.54 inference(symmetry,[status(thm)],[33426])).
% 27.25/18.54 tff(33428,plain,
% 27.25/18.54 (v193(constB101)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[8270, 33427])).
% 27.25/18.54 tff(33429,assumption,(v18(constB100)), introduced(assumption)).
% 27.25/18.54 tff(33430,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB100))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33431,plain,
% 27.25/18.54 ($false),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33430, 8, 33429])).
% 27.25/18.54 tff(33432,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.54 tff(33433,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33434,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33435,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33434, 33433])).
% 27.25/18.54 tff(33436,plain,
% 27.25/18.54 (v22(constB100)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33435, 24, 12698])).
% 27.25/18.54 tff(33437,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33438,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33439,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 27.25/18.54 tff(33440,plain,
% 27.25/18.54 (v18(constB100) | (~v19(constB100))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33439, 38, 33436])).
% 27.25/18.54 tff(33441,plain,
% 27.25/18.54 (~v19(constB100)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33440, 33432])).
% 27.25/18.54 tff(33442,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33443,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33444,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33443, 33442])).
% 27.25/18.54 tff(33445,plain,
% 27.25/18.54 (v13(constB100)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33444, 50, 33441])).
% 27.25/18.54 tff(33446,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33447,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33448,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33447, 33446])).
% 27.25/18.54 tff(33449,plain,
% 27.25/18.54 (v9(constB99) | (~v13(constB100))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33448, 67, 12675])).
% 27.25/18.54 tff(33450,plain,
% 27.25/18.54 (v9(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33449, 33445])).
% 27.25/18.54 tff(33451,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v197(constB99))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB99) | (~v9(constB99)) | v197(constB99))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33452,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v197(constB99))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33453,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB99) | (~v9(constB99)) | v197(constB99)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 27.25/18.54 tff(33454,plain,
% 27.25/18.54 ((~v9(constB99)) | v197(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33453, 85, 12527])).
% 27.25/18.54 tff(33455,plain,
% 27.25/18.54 (v197(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33454, 33450])).
% 27.25/18.54 tff(33456,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB99) | (~v197(constB99)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB99) | (~v197(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33457,plain,
% 27.25/18.54 (((~v197(constB99)) | v196(constB99)) <=> (v196(constB99) | (~v197(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33458,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB99)) | v196(constB99))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB99) | (~v197(constB99))))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33457])).
% 27.25/18.54 tff(33459,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB99)) | v196(constB99))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB99) | (~v197(constB99)))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33458, 33456])).
% 27.25/18.54 tff(33460,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB99)) | v196(constB99))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33461,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB99) | (~v197(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33460, 33459])).
% 27.25/18.54 tff(33462,plain,
% 27.25/18.54 (v196(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33461, 97, 33455])).
% 27.25/18.54 tff(33463,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB99)) | (~v196(constB99)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB99)) | (~v196(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33464,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB99)) | (~v196(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33465,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB99)) | (~v196(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33464, 33463])).
% 27.25/18.54 tff(33466,plain,
% 27.25/18.54 (~v194(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33465, 108, 33462])).
% 27.25/18.54 tff(33467,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB97)) | (~v170(constB97)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB97)) | (~v170(constB97)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33468,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB97)) | (~v170(constB97)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33469,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB97)) | (~v170(constB97))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 27.25/18.54 tff(33470,plain,
% 27.25/18.54 (~v170(constB97)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33469, 8084, 23207])).
% 27.25/18.54 tff(33471,plain,
% 27.25/18.54 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB97)) | (~v166(constB97)) | v170(constB97))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB97)) | (~v166(constB97)) | v170(constB97))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33472,plain,
% 27.25/18.54 (((~v166(constB97)) | v170(constB97) | (~v163(constB97))) <=> ((~v163(constB97)) | (~v166(constB97)) | v170(constB97))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33473,plain,
% 27.25/18.54 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB97)) | v170(constB97) | (~v163(constB97)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB97)) | (~v166(constB97)) | v170(constB97)))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33472])).
% 27.25/18.54 tff(33474,plain,
% 27.25/18.54 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB97)) | v170(constB97) | (~v163(constB97)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB97)) | (~v166(constB97)) | v170(constB97))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33473, 33471])).
% 27.25/18.54 tff(33475,plain,
% 27.25/18.54 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB97)) | v170(constB97) | (~v163(constB97)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33476,plain,
% 27.25/18.54 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB97)) | (~v166(constB97)) | v170(constB97)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33475, 33474])).
% 27.25/18.54 tff(33477,plain,
% 27.25/18.54 (~v163(constB97)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33476, 8112, 23211, 33470])).
% 27.25/18.54 tff(33478,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB97) | (~nextState(constB97, constB98)) | (~v186(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB97) | (~nextState(constB97, constB98)) | (~v186(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33479,plain,
% 27.25/18.54 (((~nextState(constB97, constB98)) | v163(constB97) | (~v186(constB98))) <=> (v163(constB97) | (~nextState(constB97, constB98)) | (~v186(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33480,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB97, constB98)) | v163(constB97) | (~v186(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB97) | (~nextState(constB97, constB98)) | (~v186(constB98))))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33479])).
% 27.25/18.54 tff(33481,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB97, constB98)) | v163(constB97) | (~v186(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB97) | (~nextState(constB97, constB98)) | (~v186(constB98)))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33480, 33478])).
% 27.25/18.54 tff(33482,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB97, constB98)) | v163(constB97) | (~v186(constB98)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33483,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB97) | (~nextState(constB97, constB98)) | (~v186(constB98))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 27.25/18.54 tff(33484,plain,
% 27.25/18.54 (v163(constB97) | (~v186(constB98))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33483, 19345, 12438])).
% 27.25/18.54 tff(33485,plain,
% 27.25/18.54 (~v186(constB98)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33484, 33477])).
% 27.25/18.54 tff(33486,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB97, constB98)) | v181(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB97, constB98)) | v181(constB98) | v104(constB98))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33487,plain,
% 27.25/18.54 (((~nextState(constB97, constB98)) | v104(constB98) | v181(constB98)) <=> ((~nextState(constB97, constB98)) | v181(constB98) | v104(constB98))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33488,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v181(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB97, constB98)) | v181(constB98) | v104(constB98)))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33487])).
% 27.25/18.54 tff(33489,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v181(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB97, constB98)) | v181(constB98) | v104(constB98))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33488, 33486])).
% 27.25/18.54 tff(33490,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | v181(constB98))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33491,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB97, constB98)) | v181(constB98) | v104(constB98)),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33490, 33489])).
% 27.25/18.54 tff(33492,plain,
% 27.25/18.54 (v181(constB98) | v104(constB98)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33491, 19367, 12438])).
% 27.25/18.54 tff(33493,plain,
% 27.25/18.54 (v181(constB98)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33492, 12450])).
% 27.25/18.54 tff(33494,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB97, constB98)) | v180(constB98) | (~v1(constB98)) | (~v181(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB97, constB98)) | v180(constB98) | (~v1(constB98)) | (~v181(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33495,plain,
% 27.25/18.54 (((~nextState(constB97, constB98)) | (~v1(constB98)) | v180(constB98) | (~v181(constB98))) <=> ((~nextState(constB97, constB98)) | v180(constB98) | (~v1(constB98)) | (~v181(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33496,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v180(constB98) | (~v181(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB97, constB98)) | v180(constB98) | (~v1(constB98)) | (~v181(constB98))))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33495])).
% 27.25/18.54 tff(33497,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v180(constB98) | (~v181(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB97, constB98)) | v180(constB98) | (~v1(constB98)) | (~v181(constB98)))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33496, 33494])).
% 27.25/18.54 tff(33498,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB97, constB98)) | (~v1(constB98)) | v180(constB98) | (~v181(constB98)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33499,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB97, constB98)) | v180(constB98) | (~v1(constB98)) | (~v181(constB98))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 27.25/18.54 tff(33500,plain,
% 27.25/18.54 (v180(constB98) | (~v181(constB98))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33499, 19385, 12438, 12461])).
% 27.25/18.54 tff(33501,plain,
% 27.25/18.54 (v180(constB98)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33500, 33493])).
% 27.25/18.54 tff(33502,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB97, constB98)) | v179(constB98) | (~v180(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB97, constB98)) | v179(constB98) | (~v180(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33503,plain,
% 27.25/18.54 (((~nextState(constB97, constB98)) | (~v180(constB98)) | v179(constB98)) <=> ((~nextState(constB97, constB98)) | v179(constB98) | (~v180(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33504,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB97, constB98)) | (~v180(constB98)) | v179(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB97, constB98)) | v179(constB98) | (~v180(constB98))))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33503])).
% 27.25/18.54 tff(33505,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB97, constB98)) | (~v180(constB98)) | v179(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB97, constB98)) | v179(constB98) | (~v180(constB98)))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33504, 33502])).
% 27.25/18.54 tff(33506,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB97, constB98)) | (~v180(constB98)) | v179(constB98))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33507,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB97, constB98)) | v179(constB98) | (~v180(constB98))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 27.25/18.54 tff(33508,plain,
% 27.25/18.54 (v179(constB98) | (~v180(constB98))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33507, 19403, 12438])).
% 27.25/18.54 tff(33509,plain,
% 27.25/18.54 (v179(constB98)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33508, 33501])).
% 27.25/18.54 tff(33510,plain,
% 27.25/18.54 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB98) | (~v159(constB98)) | (~v179(constB98)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB98) | (~v159(constB98)) | (~v179(constB98)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33511,plain,
% 27.25/18.54 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB98) | (~v159(constB98)) | (~v179(constB98)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33512,plain,
% 27.25/18.54 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB98) | (~v159(constB98)) | (~v179(constB98))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33511, 33510])).
% 27.25/18.54 tff(33513,plain,
% 27.25/18.54 (v186(constB98) | (~v159(constB98))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33512, 19421, 33509])).
% 27.25/18.54 tff(33514,plain,
% 27.25/18.54 (~v159(constB98)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33513, 33485])).
% 27.25/18.54 tff(33515,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v180(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v180(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33516,plain,
% 27.25/18.54 (((~nextState(constB98, constB99)) | v1(constB99) | (~v180(constB99))) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v180(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33517,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v1(constB99) | (~v180(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v180(constB99))))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33516])).
% 27.25/18.54 tff(33518,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v1(constB99) | (~v180(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v180(constB99)))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33517, 33515])).
% 27.25/18.54 tff(33519,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v1(constB99) | (~v180(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33520,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v180(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 27.25/18.54 tff(33521,plain,
% 27.25/18.54 (~v180(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33520, 19439, 12530, 12527])).
% 27.25/18.54 tff(33522,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB98, constB99)) | v180(constB99) | (~v179(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB98, constB99)) | v180(constB99) | (~v179(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33523,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB98, constB99)) | v180(constB99) | (~v179(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33524,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB98, constB99)) | v180(constB99) | (~v179(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 27.25/18.54 tff(33525,plain,
% 27.25/18.54 (v180(constB99) | (~v179(constB99))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33524, 19456, 12530])).
% 27.25/18.54 tff(33526,plain,
% 27.25/18.54 (~v179(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33525, 33521])).
% 27.25/18.54 tff(33527,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB98) | (~nextState(constB98, constB99)) | v179(constB99) | (~v159(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB98) | (~nextState(constB98, constB99)) | v179(constB99) | (~v159(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33528,plain,
% 27.25/18.54 (((~nextState(constB98, constB99)) | v179(constB99) | v159(constB98) | (~v159(constB99))) <=> (v159(constB98) | (~nextState(constB98, constB99)) | v179(constB99) | (~v159(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33529,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB98, constB99)) | v179(constB99) | v159(constB98) | (~v159(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB98) | (~nextState(constB98, constB99)) | v179(constB99) | (~v159(constB99))))),
% 27.25/18.54 inference(monotonicity,[status(thm)],[33528])).
% 27.25/18.54 tff(33530,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB98, constB99)) | v179(constB99) | v159(constB98) | (~v159(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB98) | (~nextState(constB98, constB99)) | v179(constB99) | (~v159(constB99)))),
% 27.25/18.54 inference(transitivity,[status(thm)],[33529, 33527])).
% 27.25/18.54 tff(33531,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB98, constB99)) | v179(constB99) | v159(constB98) | (~v159(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33532,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB98) | (~nextState(constB98, constB99)) | v179(constB99) | (~v159(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33531, 33530])).
% 27.25/18.54 tff(33533,plain,
% 27.25/18.54 (v159(constB98) | v179(constB99) | (~v159(constB99))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33532, 19471, 12530])).
% 27.25/18.54 tff(33534,plain,
% 27.25/18.54 (v159(constB98) | (~v159(constB99))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33533, 33526])).
% 27.25/18.54 tff(33535,plain,
% 27.25/18.54 (~v159(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33534, 33514])).
% 27.25/18.54 tff(33536,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB99) | (~v201(constB99)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB99) | (~v201(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33537,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB99) | (~v201(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33538,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB99) | (~v201(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33537, 33536])).
% 27.25/18.54 tff(33539,plain,
% 27.25/18.54 (~v201(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33538, 19490, 33535])).
% 27.25/18.54 tff(33540,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB99) | (~v200(constB99)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB99) | (~v200(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33541,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB99) | (~v200(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33542,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB99) | (~v200(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33541, 33540])).
% 27.25/18.54 tff(33543,plain,
% 27.25/18.54 (~v200(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33542, 8143, 33539])).
% 27.25/18.54 tff(33544,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB99) | (~v198(constB99)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB99) | (~v198(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33545,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB99) | (~v198(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33546,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB99) | (~v198(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33545, 33544])).
% 27.25/18.54 tff(33547,plain,
% 27.25/18.54 (~v198(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33546, 8157, 33543])).
% 27.25/18.54 tff(33548,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB99) | v198(constB99) | (~v191(constB99)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB99) | v198(constB99) | (~v191(constB99)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33549,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB99) | v198(constB99) | (~v191(constB99)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33550,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB99) | v198(constB99) | (~v191(constB99))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33549, 33548])).
% 27.25/18.54 tff(33551,plain,
% 27.25/18.54 (v194(constB99) | (~v191(constB99))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33550, 8171, 33547])).
% 27.25/18.54 tff(33552,plain,
% 27.25/18.54 (~v191(constB99)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33551, 33466])).
% 27.25/18.54 tff(33553,plain,
% 27.25/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33554,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33555,plain,
% 27.25/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB99, constB100)) | v191(constB99) | (~v193(constB100))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33554, 33553])).
% 27.25/18.54 tff(33556,plain,
% 27.25/18.54 (v191(constB99) | (~v193(constB100))),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33555, 8186, 12675])).
% 27.25/18.54 tff(33557,plain,
% 27.25/18.54 (~v193(constB100)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33556, 33552])).
% 27.25/18.54 tff(33558,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB100) | (~v194(constB100)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB100) | (~v194(constB100)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33559,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB100) | (~v194(constB100)))),
% 27.25/18.54 inference(quant_inst,[status(thm)],[])).
% 27.25/18.54 tff(33560,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB100) | (~v194(constB100))),
% 27.25/18.54 inference(modus_ponens,[status(thm)],[33559, 33558])).
% 27.25/18.54 tff(33561,plain,
% 27.25/18.54 (~v194(constB100)),
% 27.25/18.54 inference(unit_resolution,[status(thm)],[33560, 8201, 33557])).
% 27.25/18.54 tff(33562,plain,
% 27.25/18.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB100)) | (~v197(constB100)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB100)) | (~v197(constB100)))),
% 27.25/18.54 inference(rewrite,[status(thm)],[])).
% 27.25/18.54 tff(33563,plain,
% 27.25/18.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB100)) | (~v197(constB100)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33564,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB100)) | (~v197(constB100))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 27.25/18.55 tff(33565,plain,
% 27.25/18.55 (~v197(constB100)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33564, 8215, 12698])).
% 27.25/18.55 tff(33566,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB100) | (~v200(constB100)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB100) | (~v200(constB100)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33567,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB100) | (~v200(constB100)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33568,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB100) | (~v200(constB100))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 27.25/18.55 tff(33569,plain,
% 27.25/18.55 (~v200(constB100)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33568, 8229, 33565])).
% 27.25/18.55 tff(33570,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB100) | (~v198(constB100)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB100) | (~v198(constB100)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33571,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB100) | (~v198(constB100)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33572,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB100) | (~v198(constB100))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33571, 33570])).
% 27.25/18.55 tff(33573,plain,
% 27.25/18.55 (~v198(constB100)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33572, 8157, 33569])).
% 27.25/18.55 tff(33574,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB100) | v198(constB100) | (~v191(constB100)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB100) | v198(constB100) | (~v191(constB100)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33575,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB100) | v198(constB100) | (~v191(constB100)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33576,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB100) | v198(constB100) | (~v191(constB100))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 27.25/18.55 tff(33577,plain,
% 27.25/18.55 (v194(constB100) | (~v191(constB100))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33576, 8171, 33573])).
% 27.25/18.55 tff(33578,plain,
% 27.25/18.55 (~v191(constB100)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33577, 33561])).
% 27.25/18.55 tff(33579,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33580,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33581,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB100, constB101)) | v191(constB100) | (~v193(constB101))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33580, 33579])).
% 27.25/18.55 tff(33582,plain,
% 27.25/18.55 (v191(constB100) | (~v193(constB101))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33581, 8186, 12743])).
% 27.25/18.55 tff(33583,plain,
% 27.25/18.55 (~v193(constB101)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33582, 33578])).
% 27.25/18.55 tff(33584,plain,
% 27.25/18.55 ($false),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33583, 33428])).
% 27.25/18.55 tff(33585,plain,(~(constB101 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.55 tff(33586,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.55 tff(33587,plain,
% 27.25/18.55 (v193(constB3) <=> v193(sK0_VarCurr)),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33586])).
% 27.25/18.55 tff(33588,plain,
% 27.25/18.55 (v193(sK0_VarCurr) <=> v193(constB3)),
% 27.25/18.55 inference(symmetry,[status(thm)],[33587])).
% 27.25/18.55 tff(33589,plain,
% 27.25/18.55 (v193(constB3)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[8270, 33588])).
% 27.25/18.55 tff(33590,plain,
% 27.25/18.55 ($false),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[25585, 33589])).
% 27.25/18.55 tff(33591,plain,(~(constB3 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.55 tff(33592,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.55 tff(33593,plain,
% 27.25/18.55 (v193(constB143) <=> v193(sK0_VarCurr)),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33592])).
% 27.25/18.55 tff(33594,plain,
% 27.25/18.55 (v193(sK0_VarCurr) <=> v193(constB143)),
% 27.25/18.55 inference(symmetry,[status(thm)],[33593])).
% 27.25/18.55 tff(33595,plain,
% 27.25/18.55 (v193(constB143)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[8270, 33594])).
% 27.25/18.55 tff(33596,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33597,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33598,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33597, 33596])).
% 27.25/18.55 tff(33599,plain,
% 27.25/18.55 (~v88(constB139, bitIndex2)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33598, 25366, 17346])).
% 27.25/18.55 tff(33600,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33601,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33602,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33601, 33600])).
% 27.25/18.55 tff(33603,plain,
% 27.25/18.55 (v88(constB139, bitIndex1)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33602, 8034, 17377])).
% 27.25/18.55 tff(33604,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33605,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33606,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33605, 33604])).
% 27.25/18.55 tff(33607,plain,
% 27.25/18.55 (v88(constB139, bitIndex0)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33606, 26352, 17408])).
% 27.25/18.55 tff(33608,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33609,plain,
% 27.25/18.55 ((v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139)) <=> ((~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33610,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139)))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33609])).
% 27.25/18.55 tff(33611,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33610, 33608])).
% 27.25/18.55 tff(33612,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33613,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex0)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | v141(constB139)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33612, 33611])).
% 27.25/18.55 tff(33614,plain,
% 27.25/18.55 (v141(constB139)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33613, 26366, 33607, 33603, 33599])).
% 27.25/18.55 tff(33615,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB139)) | v168(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB139)) | v168(constB139))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33616,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | ((~v141(constB139)) | v168(constB139))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33617,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v168(VarCurr))) | (~v141(constB139)) | v168(constB139)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33616, 33615])).
% 27.25/18.55 tff(33618,plain,
% 27.25/18.55 (v168(constB139)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33617, 26380, 33614])).
% 27.25/18.55 tff(33619,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB139) | (~v168(constB139)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33620,plain,
% 27.25/18.55 (((~v168(constB139)) | v167(constB139)) <=> (v167(constB139) | (~v168(constB139)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33621,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB139)) | v167(constB139))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | (v167(constB139) | (~v168(constB139))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33620])).
% 27.25/18.55 tff(33622,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB139)) | v167(constB139))) <=> ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB139) | (~v168(constB139)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33621, 33619])).
% 27.25/18.55 tff(33623,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | ((~v168(constB139)) | v167(constB139))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33624,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v168(VarCurr)) | v167(VarCurr))) | v167(constB139) | (~v168(constB139))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33623, 33622])).
% 27.25/18.55 tff(33625,plain,
% 27.25/18.55 (v167(constB139)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33624, 23043, 33618])).
% 27.25/18.55 tff(33626,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33627,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB139)) | (~v170(constB139)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33628,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB139)) | (~v170(constB139))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33627, 33626])).
% 27.25/18.55 tff(33629,plain,
% 27.25/18.55 (~v170(constB139)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33628, 8084, 33625])).
% 27.25/18.55 tff(33630,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33631,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB139) | (~v167(constB139)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33632,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB139) | (~v167(constB139))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33631, 33630])).
% 27.25/18.55 tff(33633,plain,
% 27.25/18.55 (v166(constB139)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33632, 8098, 33625])).
% 27.25/18.55 tff(33634,plain,
% 27.25/18.55 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33635,plain,
% 27.25/18.55 (((~v166(constB139)) | v170(constB139) | (~v163(constB139))) <=> ((~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33636,plain,
% 27.25/18.55 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB139)) | (~v166(constB139)) | v170(constB139)))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33635])).
% 27.25/18.55 tff(33637,plain,
% 27.25/18.55 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33636, 33634])).
% 27.25/18.55 tff(33638,plain,
% 27.25/18.55 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB139)) | v170(constB139) | (~v163(constB139)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33639,plain,
% 27.25/18.55 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB139)) | (~v166(constB139)) | v170(constB139)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33638, 33637])).
% 27.25/18.55 tff(33640,plain,
% 27.25/18.55 (~v163(constB139)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33639, 8112, 33633, 33629])).
% 27.25/18.55 tff(33641,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33642,plain,
% 27.25/18.55 (((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140))) <=> (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33643,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33642])).
% 27.25/18.55 tff(33644,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33643, 33641])).
% 27.25/18.55 tff(33645,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB139, constB140)) | v163(constB139) | (~v186(constB140)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33646,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB139) | (~nextState(constB139, constB140)) | (~v186(constB140))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33645, 33644])).
% 27.25/18.55 tff(33647,plain,
% 27.25/18.55 (v163(constB139) | (~v186(constB140))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33646, 19345, 17452])).
% 27.25/18.55 tff(33648,plain,
% 27.25/18.55 (~v186(constB140)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33647, 33640])).
% 27.25/18.55 tff(33649,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33650,plain,
% 27.25/18.55 (((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140)) <=> ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33651,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33650])).
% 27.25/18.55 tff(33652,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33651, 33649])).
% 27.25/18.55 tff(33653,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | v181(constB140))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33654,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB139, constB140)) | v181(constB140) | v104(constB140)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33653, 33652])).
% 27.25/18.55 tff(33655,plain,
% 27.25/18.55 (v181(constB140) | v104(constB140)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33654, 19367, 17452])).
% 27.25/18.55 tff(33656,plain,
% 27.25/18.55 (v181(constB140)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33655, 17464])).
% 27.25/18.55 tff(33657,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33658,plain,
% 27.25/18.55 (((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140))) <=> ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33659,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33658])).
% 27.25/18.55 tff(33660,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33659, 33657])).
% 27.25/18.55 tff(33661,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB139, constB140)) | (~v1(constB140)) | v180(constB140) | (~v181(constB140)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33662,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB139, constB140)) | v180(constB140) | (~v1(constB140)) | (~v181(constB140))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33661, 33660])).
% 27.25/18.55 tff(33663,plain,
% 27.25/18.55 (v180(constB140) | (~v181(constB140))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33662, 19385, 17452, 17475])).
% 27.25/18.55 tff(33664,plain,
% 27.25/18.55 (v180(constB140)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33663, 33656])).
% 27.25/18.55 tff(33665,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33666,plain,
% 27.25/18.55 (((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140)) <=> ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33667,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33666])).
% 27.25/18.55 tff(33668,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33667, 33665])).
% 27.25/18.55 tff(33669,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB139, constB140)) | (~v180(constB140)) | v179(constB140))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33670,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB139, constB140)) | v179(constB140) | (~v180(constB140))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33669, 33668])).
% 27.25/18.55 tff(33671,plain,
% 27.25/18.55 (v179(constB140) | (~v180(constB140))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33670, 19403, 17452])).
% 27.25/18.55 tff(33672,plain,
% 27.25/18.55 (v179(constB140)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33671, 33664])).
% 27.25/18.55 tff(33673,plain,
% 27.25/18.55 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB140) | (~v159(constB140)) | (~v179(constB140)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB140) | (~v159(constB140)) | (~v179(constB140)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33674,plain,
% 27.25/18.55 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB140) | (~v159(constB140)) | (~v179(constB140)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33675,plain,
% 27.25/18.55 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB140) | (~v159(constB140)) | (~v179(constB140))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33674, 33673])).
% 27.25/18.55 tff(33676,plain,
% 27.25/18.55 (v186(constB140) | (~v159(constB140))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33675, 19421, 33672])).
% 27.25/18.55 tff(33677,plain,
% 27.25/18.55 (~v159(constB140)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33676, 33648])).
% 27.25/18.55 tff(33678,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33679,plain,
% 27.25/18.55 (((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141))) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33680,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33679])).
% 27.25/18.55 tff(33681,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33680, 33678])).
% 27.25/18.55 tff(33682,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v1(constB141) | (~v180(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33683,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v180(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33682, 33681])).
% 27.25/18.55 tff(33684,plain,
% 27.25/18.55 (~v180(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33683, 19439, 17520, 17517])).
% 27.25/18.55 tff(33685,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33686,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33687,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB140, constB141)) | v180(constB141) | (~v179(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 27.25/18.55 tff(33688,plain,
% 27.25/18.55 (v180(constB141) | (~v179(constB141))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33687, 19456, 17520])).
% 27.25/18.55 tff(33689,plain,
% 27.25/18.55 (~v179(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33688, 33684])).
% 27.25/18.55 tff(33690,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33691,plain,
% 27.25/18.55 (((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141))) <=> (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33692,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33691])).
% 27.25/18.55 tff(33693,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33692, 33690])).
% 27.25/18.55 tff(33694,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB140, constB141)) | v179(constB141) | v159(constB140) | (~v159(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33695,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB140) | (~nextState(constB140, constB141)) | v179(constB141) | (~v159(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33694, 33693])).
% 27.25/18.55 tff(33696,plain,
% 27.25/18.55 (v159(constB140) | v179(constB141) | (~v159(constB141))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33695, 19471, 17520])).
% 27.25/18.55 tff(33697,plain,
% 27.25/18.55 (v159(constB140) | (~v159(constB141))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33696, 33689])).
% 27.25/18.55 tff(33698,plain,
% 27.25/18.55 (~v159(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33697, 33677])).
% 27.25/18.55 tff(33699,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33700,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB141) | (~v201(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33701,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB141) | (~v201(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 27.25/18.55 tff(33702,plain,
% 27.25/18.55 (~v201(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33701, 19490, 33698])).
% 27.25/18.55 tff(33703,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33704,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB141) | (~v200(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33705,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB141) | (~v200(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 27.25/18.55 tff(33706,plain,
% 27.25/18.55 (~v200(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33705, 8143, 33702])).
% 27.25/18.55 tff(33707,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33708,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB141) | (~v198(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33709,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB141) | (~v198(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 27.25/18.55 tff(33710,plain,
% 27.25/18.55 (~v198(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33709, 8157, 33706])).
% 27.25/18.55 tff(33711,assumption,(v18(constB142)), introduced(assumption)).
% 27.25/18.55 tff(33712,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB142))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33713,plain,
% 27.25/18.55 ($false),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33712, 8, 33711])).
% 27.25/18.55 tff(33714,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.55 tff(33715,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33716,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33717,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 27.25/18.55 tff(33718,plain,
% 27.25/18.55 (v22(constB142)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33717, 24, 17675])).
% 27.25/18.55 tff(33719,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33720,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33721,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33720, 33719])).
% 27.25/18.55 tff(33722,plain,
% 27.25/18.55 (v18(constB142) | (~v19(constB142))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33721, 38, 33718])).
% 27.25/18.55 tff(33723,plain,
% 27.25/18.55 (~v19(constB142)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33722, 33714])).
% 27.25/18.55 tff(33724,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33725,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33726,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33725, 33724])).
% 27.25/18.55 tff(33727,plain,
% 27.25/18.55 (v13(constB142)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33726, 50, 33723])).
% 27.25/18.55 tff(33728,plain,
% 27.25/18.55 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33729,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33730,plain,
% 27.25/18.55 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33729, 33728])).
% 27.25/18.55 tff(33731,plain,
% 27.25/18.55 (v9(constB141) | (~v13(constB142))),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33730, 67, 17652])).
% 27.25/18.55 tff(33732,plain,
% 27.25/18.55 (v9(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33731, 33727])).
% 27.25/18.55 tff(33733,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33734,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v197(constB141))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33735,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB141) | (~v9(constB141)) | v197(constB141)),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33734, 33733])).
% 27.25/18.55 tff(33736,plain,
% 27.25/18.55 ((~v9(constB141)) | v197(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33735, 85, 17517])).
% 27.25/18.55 tff(33737,plain,
% 27.25/18.55 (v197(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33736, 33732])).
% 27.25/18.55 tff(33738,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB141) | (~v197(constB141)))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB141) | (~v197(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33739,plain,
% 27.25/18.55 (((~v197(constB141)) | v196(constB141)) <=> (v196(constB141) | (~v197(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33740,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB141)) | v196(constB141))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (v196(constB141) | (~v197(constB141))))),
% 27.25/18.55 inference(monotonicity,[status(thm)],[33739])).
% 27.25/18.55 tff(33741,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB141)) | v196(constB141))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB141) | (~v197(constB141)))),
% 27.25/18.55 inference(transitivity,[status(thm)],[33740, 33738])).
% 27.25/18.55 tff(33742,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB141)) | v196(constB141))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33743,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | v196(constB141) | (~v197(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33742, 33741])).
% 27.25/18.55 tff(33744,plain,
% 27.25/18.55 (v196(constB141)),
% 27.25/18.55 inference(unit_resolution,[status(thm)],[33743, 97, 33737])).
% 27.25/18.55 tff(33745,plain,
% 27.25/18.55 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB141)) | (~v196(constB141)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB141)) | (~v196(constB141)))),
% 27.25/18.55 inference(rewrite,[status(thm)],[])).
% 27.25/18.55 tff(33746,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB141)) | (~v196(constB141)))),
% 27.25/18.55 inference(quant_inst,[status(thm)],[])).
% 27.25/18.55 tff(33747,plain,
% 27.25/18.55 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB141)) | (~v196(constB141))),
% 27.25/18.55 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 27.25/18.55 tff(33748,plain,
% 27.25/18.55 (~v194(constB141)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33747, 108, 33744])).
% 27.25/18.56 tff(33749,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33750,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB141) | v198(constB141) | (~v191(constB141)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33751,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB141) | v198(constB141) | (~v191(constB141))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 27.25/18.56 tff(33752,plain,
% 27.25/18.56 (v198(constB141) | (~v191(constB141))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33751, 8171, 33748])).
% 27.25/18.56 tff(33753,plain,
% 27.25/18.56 (~v191(constB141)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33752, 33710])).
% 27.25/18.56 tff(33754,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33755,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33756,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB141, constB142)) | v191(constB141) | (~v193(constB142))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33755, 33754])).
% 27.25/18.56 tff(33757,plain,
% 27.25/18.56 (v191(constB141) | (~v193(constB142))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33756, 8186, 17652])).
% 27.25/18.56 tff(33758,plain,
% 27.25/18.56 (~v193(constB142)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33757, 33753])).
% 27.25/18.56 tff(33759,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33760,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB142) | (~v194(constB142)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33761,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB142) | (~v194(constB142))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33760, 33759])).
% 27.25/18.56 tff(33762,plain,
% 27.25/18.56 (~v194(constB142)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33761, 8201, 33758])).
% 27.25/18.56 tff(33763,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33764,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB142)) | (~v197(constB142)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33765,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB142)) | (~v197(constB142))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33764, 33763])).
% 27.25/18.56 tff(33766,plain,
% 27.25/18.56 (~v197(constB142)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33765, 8215, 17675])).
% 27.25/18.56 tff(33767,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33768,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB142) | (~v200(constB142)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33769,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB142) | (~v200(constB142))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33768, 33767])).
% 27.25/18.56 tff(33770,plain,
% 27.25/18.56 (~v200(constB142)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33769, 8229, 33766])).
% 27.25/18.56 tff(33771,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33772,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB142) | (~v198(constB142)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33773,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB142) | (~v198(constB142))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33772, 33771])).
% 27.25/18.56 tff(33774,plain,
% 27.25/18.56 (~v198(constB142)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33773, 8157, 33770])).
% 27.25/18.56 tff(33775,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33776,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB142) | v198(constB142) | (~v191(constB142)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33777,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB142) | v198(constB142) | (~v191(constB142))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33776, 33775])).
% 27.25/18.56 tff(33778,plain,
% 27.25/18.56 (v194(constB142) | (~v191(constB142))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33777, 8171, 33774])).
% 27.25/18.56 tff(33779,plain,
% 27.25/18.56 (~v191(constB142)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33778, 33762])).
% 27.25/18.56 tff(33780,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33781,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33782,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB142, constB143)) | v191(constB142) | (~v193(constB143))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 27.25/18.56 tff(33783,plain,
% 27.25/18.56 (v191(constB142) | (~v193(constB143))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33782, 8186, 17720])).
% 27.25/18.56 tff(33784,plain,
% 27.25/18.56 (~v193(constB143)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33783, 33779])).
% 27.25/18.56 tff(33785,plain,
% 27.25/18.56 ($false),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33784, 33595])).
% 27.25/18.56 tff(33786,plain,(~(constB143 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.56 tff(33787,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.56 tff(33788,plain,
% 27.25/18.56 (v193(constB147) <=> v193(sK0_VarCurr)),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33787])).
% 27.25/18.56 tff(33789,plain,
% 27.25/18.56 (v193(sK0_VarCurr) <=> v193(constB147)),
% 27.25/18.56 inference(symmetry,[status(thm)],[33788])).
% 27.25/18.56 tff(33790,plain,
% 27.25/18.56 (v193(constB147)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[8270, 33789])).
% 27.25/18.56 tff(33791,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB145) | (~v201(constB145)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB145) | (~v201(constB145)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33792,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | (v163(constB145) | (~v201(constB145)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33793,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v163(VarCurr) | (~v201(VarCurr)))) | v163(constB145) | (~v201(constB145))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 27.25/18.56 tff(33794,plain,
% 27.25/18.56 (~v201(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33793, 8129, 26574])).
% 27.25/18.56 tff(33795,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB145) | (~v200(constB145)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33796,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB145) | (~v200(constB145)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33797,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB145) | (~v200(constB145))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 27.25/18.56 tff(33798,plain,
% 27.25/18.56 (~v200(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33797, 8143, 33794])).
% 27.25/18.56 tff(33799,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB145) | (~v198(constB145)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB145) | (~v198(constB145)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33800,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB145) | (~v198(constB145)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33801,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB145) | (~v198(constB145))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33800, 33799])).
% 27.25/18.56 tff(33802,plain,
% 27.25/18.56 (~v198(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33801, 8157, 33798])).
% 27.25/18.56 tff(33803,assumption,(v18(constB146)), introduced(assumption)).
% 27.25/18.56 tff(33804,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB146))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33805,plain,
% 27.25/18.56 ($false),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33804, 8, 33803])).
% 27.25/18.56 tff(33806,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.56 tff(33807,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33808,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33809,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33808, 33807])).
% 27.25/18.56 tff(33810,plain,
% 27.25/18.56 (v22(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33809, 24, 18046])).
% 27.25/18.56 tff(33811,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33812,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33813,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 27.25/18.56 tff(33814,plain,
% 27.25/18.56 (v18(constB146) | (~v19(constB146))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33813, 38, 33810])).
% 27.25/18.56 tff(33815,plain,
% 27.25/18.56 (~v19(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33814, 33806])).
% 27.25/18.56 tff(33816,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33817,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33818,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 27.25/18.56 tff(33819,plain,
% 27.25/18.56 (v13(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33818, 50, 33815])).
% 27.25/18.56 tff(33820,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33821,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33822,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33821, 33820])).
% 27.25/18.56 tff(33823,plain,
% 27.25/18.56 (v9(constB145) | (~v13(constB146))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33822, 67, 18023])).
% 27.25/18.56 tff(33824,plain,
% 27.25/18.56 (v9(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33823, 33819])).
% 27.25/18.56 tff(33825,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v197(constB145))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB145) | (~v9(constB145)) | v197(constB145))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33826,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v197(constB145))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33827,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB145) | (~v9(constB145)) | v197(constB145)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33826, 33825])).
% 27.25/18.56 tff(33828,plain,
% 27.25/18.56 ((~v9(constB145)) | v197(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33827, 85, 17904])).
% 27.25/18.56 tff(33829,plain,
% 27.25/18.56 (v197(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33828, 33824])).
% 27.25/18.56 tff(33830,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB145)) | v196(constB145))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB145)) | v196(constB145))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33831,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB145)) | v196(constB145))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33832,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB145)) | v196(constB145)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33831, 33830])).
% 27.25/18.56 tff(33833,plain,
% 27.25/18.56 (v196(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33832, 97, 33829])).
% 27.25/18.56 tff(33834,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB145)) | (~v196(constB145)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB145)) | (~v196(constB145)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33835,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB145)) | (~v196(constB145)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33836,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB145)) | (~v196(constB145))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33835, 33834])).
% 27.25/18.56 tff(33837,plain,
% 27.25/18.56 (~v194(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33836, 108, 33833])).
% 27.25/18.56 tff(33838,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB145) | v198(constB145) | (~v191(constB145)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB145) | v198(constB145) | (~v191(constB145)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33839,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB145) | v198(constB145) | (~v191(constB145)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33840,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB145) | v198(constB145) | (~v191(constB145))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33839, 33838])).
% 27.25/18.56 tff(33841,plain,
% 27.25/18.56 (v198(constB145) | (~v191(constB145))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33840, 8171, 33837])).
% 27.25/18.56 tff(33842,plain,
% 27.25/18.56 (~v191(constB145)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33841, 33802])).
% 27.25/18.56 tff(33843,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33844,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33845,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB145, constB146)) | v191(constB145) | (~v193(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33844, 33843])).
% 27.25/18.56 tff(33846,plain,
% 27.25/18.56 (v191(constB145) | (~v193(constB146))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33845, 8186, 18023])).
% 27.25/18.56 tff(33847,plain,
% 27.25/18.56 (~v193(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33846, 33842])).
% 27.25/18.56 tff(33848,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB146) | (~v194(constB146)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB146) | (~v194(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33849,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB146) | (~v194(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33850,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB146) | (~v194(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33849, 33848])).
% 27.25/18.56 tff(33851,plain,
% 27.25/18.56 (~v194(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33850, 8201, 33847])).
% 27.25/18.56 tff(33852,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB146)) | (~v197(constB146)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB146)) | (~v197(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33853,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB146)) | (~v197(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33854,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB146)) | (~v197(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33853, 33852])).
% 27.25/18.56 tff(33855,plain,
% 27.25/18.56 (~v197(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33854, 8215, 18046])).
% 27.25/18.56 tff(33856,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB146) | (~v200(constB146)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB146) | (~v200(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33857,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB146) | (~v200(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33858,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB146) | (~v200(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33857, 33856])).
% 27.25/18.56 tff(33859,plain,
% 27.25/18.56 (~v200(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33858, 8229, 33855])).
% 27.25/18.56 tff(33860,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB146) | (~v198(constB146)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB146) | (~v198(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33861,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB146) | (~v198(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33862,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB146) | (~v198(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33861, 33860])).
% 27.25/18.56 tff(33863,plain,
% 27.25/18.56 (~v198(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33862, 8157, 33859])).
% 27.25/18.56 tff(33864,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB146) | v198(constB146) | (~v191(constB146)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB146) | v198(constB146) | (~v191(constB146)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33865,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB146) | v198(constB146) | (~v191(constB146)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33866,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB146) | v198(constB146) | (~v191(constB146))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33865, 33864])).
% 27.25/18.56 tff(33867,plain,
% 27.25/18.56 (v194(constB146) | (~v191(constB146))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33866, 8171, 33863])).
% 27.25/18.56 tff(33868,plain,
% 27.25/18.56 (~v191(constB146)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33867, 33851])).
% 27.25/18.56 tff(33869,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33870,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33871,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB146, constB147)) | v191(constB146) | (~v193(constB147))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33870, 33869])).
% 27.25/18.56 tff(33872,plain,
% 27.25/18.56 (v191(constB146) | (~v193(constB147))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33871, 8186, 18115])).
% 27.25/18.56 tff(33873,plain,
% 27.25/18.56 (~v193(constB147)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33872, 33868])).
% 27.25/18.56 tff(33874,plain,
% 27.25/18.56 ($false),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33873, 33790])).
% 27.25/18.56 tff(33875,plain,(~(constB147 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.56 tff(33876,assumption,(constB66 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.56 tff(33877,plain,
% 27.25/18.56 (v1(constB66) <=> v1(sK0_VarCurr)),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33876])).
% 27.25/18.56 tff(33878,plain,
% 27.25/18.56 (v1(sK0_VarCurr) <=> v1(constB66)),
% 27.25/18.56 inference(symmetry,[status(thm)],[33877])).
% 27.25/18.56 tff(33879,plain,
% 27.25/18.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB66))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33878])).
% 27.25/18.56 tff(33880,plain,
% 27.25/18.56 (~v1(constB66)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[25165, 33879])).
% 27.25/18.56 tff(33881,plain,
% 27.25/18.56 ($false),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[8979, 33880])).
% 27.25/18.56 tff(33882,plain,(~(constB66 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.56 tff(33883,assumption,(constB40 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.56 tff(33884,plain,
% 27.25/18.56 (v1(constB40) <=> v1(sK0_VarCurr)),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33883])).
% 27.25/18.56 tff(33885,plain,
% 27.25/18.56 (v1(sK0_VarCurr) <=> v1(constB40)),
% 27.25/18.56 inference(symmetry,[status(thm)],[33884])).
% 27.25/18.56 tff(33886,plain,
% 27.25/18.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB40))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33885])).
% 27.25/18.56 tff(33887,plain,
% 27.25/18.56 (~v1(constB40)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[25165, 33886])).
% 27.25/18.56 tff(33888,plain,
% 27.25/18.56 ($false),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[5563, 33887])).
% 27.25/18.56 tff(33889,plain,(~(constB40 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.56 tff(33890,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.56 tff(33891,plain,
% 27.25/18.56 (v193(constB21) <=> v193(sK0_VarCurr)),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33890])).
% 27.25/18.56 tff(33892,plain,
% 27.25/18.56 (v193(sK0_VarCurr) <=> v193(constB21)),
% 27.25/18.56 inference(symmetry,[status(thm)],[33891])).
% 27.25/18.56 tff(33893,plain,
% 27.25/18.56 (v193(constB21)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[8270, 33892])).
% 27.25/18.56 tff(33894,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33895,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33896,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33895, 33894])).
% 27.25/18.56 tff(33897,plain,
% 27.25/18.56 (~v88(constB17, bitIndex2)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33896, 25366, 2644])).
% 27.25/18.56 tff(33898,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB17, bitIndex0)) | v90(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB17, bitIndex0)) | v90(constB17, bitIndex0))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33899,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | ((~v88(constB17, bitIndex0)) | v90(constB17, bitIndex0))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33900,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex0))) | (~v88(constB17, bitIndex0)) | v90(constB17, bitIndex0)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33899, 33898])).
% 27.25/18.56 tff(33901,plain,
% 27.25/18.56 (~v88(constB17, bitIndex0)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33900, 7950, 2709])).
% 27.25/18.56 tff(33902,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33903,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33904,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB17, bitIndex1)) | v88(constB17, bitIndex1)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33903, 33902])).
% 27.25/18.56 tff(33905,plain,
% 27.25/18.56 (v88(constB17, bitIndex1)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33904, 8034, 2675])).
% 27.25/18.56 tff(33906,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v143(constB17))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33907,plain,
% 27.25/18.56 ((v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17)) <=> (v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v143(constB17))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33908,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v143(constB17)))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33907])).
% 27.25/18.56 tff(33909,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v143(constB17))),
% 27.25/18.56 inference(transitivity,[status(thm)],[33908, 33906])).
% 27.25/18.56 tff(33910,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex0) | v143(constB17))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33911,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)) | v143(constB17)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 27.25/18.56 tff(33912,plain,
% 27.25/18.56 (v143(constB17)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33911, 23093, 33905, 33901, 33897])).
% 27.25/18.56 tff(33913,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB17) | (~v143(constB17)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB17) | (~v143(constB17)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33914,plain,
% 27.25/18.56 (((~v143(constB17)) | v142(constB17)) <=> (v142(constB17) | (~v143(constB17)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33915,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB17) | (~v143(constB17))))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33914])).
% 27.25/18.56 tff(33916,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB17) | (~v143(constB17)))),
% 27.25/18.56 inference(transitivity,[status(thm)],[33915, 33913])).
% 27.25/18.56 tff(33917,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33918,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB17) | (~v143(constB17))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33917, 33916])).
% 27.25/18.56 tff(33919,plain,
% 27.25/18.56 (v142(constB17)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33918, 23075, 33912])).
% 27.25/18.56 tff(33920,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB17)) | v167(constB17))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB17)) | v167(constB17))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33921,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | ((~v142(constB17)) | v167(constB17))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33922,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v167(VarCurr))) | (~v142(constB17)) | v167(constB17)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33921, 33920])).
% 27.25/18.56 tff(33923,plain,
% 27.25/18.56 (v167(constB17)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33922, 8073, 33919])).
% 27.25/18.56 tff(33924,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB17)) | (~v170(constB17)))) <=> ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB17)) | (~v170(constB17)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33925,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | ((~v167(constB17)) | (~v170(constB17)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33926,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : ((~v167(VarCurr)) | (~v170(VarCurr)))) | (~v167(constB17)) | (~v170(constB17))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33925, 33924])).
% 27.25/18.56 tff(33927,plain,
% 27.25/18.56 (~v170(constB17)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33926, 8084, 33923])).
% 27.25/18.56 tff(33928,plain,
% 27.25/18.56 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB17) | (~v167(constB17)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB17) | (~v167(constB17)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33929,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB17) | (~v167(constB17)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33930,plain,
% 27.25/18.56 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB17) | (~v167(constB17))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33929, 33928])).
% 27.25/18.56 tff(33931,plain,
% 27.25/18.56 (v166(constB17)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33930, 8098, 33923])).
% 27.25/18.56 tff(33932,plain,
% 27.25/18.56 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB17)) | (~v166(constB17)) | v170(constB17))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33933,plain,
% 27.25/18.56 (((~v166(constB17)) | v170(constB17) | (~v163(constB17))) <=> ((~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33934,plain,
% 27.25/18.56 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v163(constB17)) | (~v166(constB17)) | v170(constB17)))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33933])).
% 27.25/18.56 tff(33935,plain,
% 27.25/18.56 (((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))) <=> ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17))),
% 27.25/18.56 inference(transitivity,[status(thm)],[33934, 33932])).
% 27.25/18.56 tff(33936,plain,
% 27.25/18.56 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | ((~v166(constB17)) | v170(constB17) | (~v163(constB17)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33937,plain,
% 27.25/18.56 ((~![VarNext: state_type] : ((~v166(VarNext)) | v170(VarNext) | (~v163(VarNext)))) | (~v163(constB17)) | (~v166(constB17)) | v170(constB17)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33936, 33935])).
% 27.25/18.56 tff(33938,plain,
% 27.25/18.56 (~v163(constB17)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33937, 8112, 33931, 33927])).
% 27.25/18.56 tff(33939,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33940,plain,
% 27.25/18.56 (((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18))) <=> (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33941,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | (v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18))))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33940])).
% 27.25/18.56 tff(33942,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18)))),
% 27.25/18.56 inference(transitivity,[status(thm)],[33941, 33939])).
% 27.25/18.56 tff(33943,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | ((~nextState(constB17, constB18)) | v163(constB17) | (~v186(constB18)))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33944,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v163(VarCurr) | (~v186(VarNext)))) | v163(constB17) | (~nextState(constB17, constB18)) | (~v186(constB18))),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33943, 33942])).
% 27.25/18.56 tff(33945,plain,
% 27.25/18.56 (v163(constB17) | (~v186(constB18))),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33944, 19345, 2757])).
% 27.25/18.56 tff(33946,plain,
% 27.25/18.56 (~v186(constB18)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33945, 33938])).
% 27.25/18.56 tff(33947,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33948,plain,
% 27.25/18.56 (((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18)) <=> ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 27.25/18.56 inference(rewrite,[status(thm)],[])).
% 27.25/18.56 tff(33949,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v181(constB18) | v104(constB18)))),
% 27.25/18.56 inference(monotonicity,[status(thm)],[33948])).
% 27.25/18.56 tff(33950,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18))),
% 27.25/18.56 inference(transitivity,[status(thm)],[33949, 33947])).
% 27.25/18.56 tff(33951,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | v181(constB18))),
% 27.25/18.56 inference(quant_inst,[status(thm)],[])).
% 27.25/18.56 tff(33952,plain,
% 27.25/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | v181(VarNext))) | (~nextState(constB17, constB18)) | v181(constB18) | v104(constB18)),
% 27.25/18.56 inference(modus_ponens,[status(thm)],[33951, 33950])).
% 27.25/18.56 tff(33953,plain,
% 27.25/18.56 (v181(constB18) | v104(constB18)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33952, 19367, 2757])).
% 27.25/18.56 tff(33954,plain,
% 27.25/18.56 (v181(constB18)),
% 27.25/18.56 inference(unit_resolution,[status(thm)],[33953, 2769])).
% 27.25/18.56 tff(33955,plain,
% 27.25/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33956,plain,
% 27.25/18.57 (((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18))) <=> ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33957,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18))))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[33956])).
% 27.25/18.57 tff(33958,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18)))),
% 27.25/18.57 inference(transitivity,[status(thm)],[33957, 33955])).
% 27.25/18.57 tff(33959,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB18)) | v180(constB18) | (~v181(constB18)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33960,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v180(VarNext) | (~v181(VarNext)))) | (~nextState(constB17, constB18)) | v180(constB18) | (~v1(constB18)) | (~v181(constB18))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33959, 33958])).
% 27.25/18.57 tff(33961,plain,
% 27.25/18.57 (v180(constB18) | (~v181(constB18))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33960, 19385, 2757, 2780])).
% 27.25/18.57 tff(33962,plain,
% 27.25/18.57 (v180(constB18)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33961, 33954])).
% 27.25/18.57 tff(33963,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33964,plain,
% 27.25/18.57 (((~nextState(constB17, constB18)) | (~v180(constB18)) | v179(constB18)) <=> ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33965,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB17, constB18)) | (~v180(constB18)) | v179(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18))))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[33964])).
% 27.25/18.57 tff(33966,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB17, constB18)) | (~v180(constB18)) | v179(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18)))),
% 27.25/18.57 inference(transitivity,[status(thm)],[33965, 33963])).
% 27.25/18.57 tff(33967,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | ((~nextState(constB17, constB18)) | (~v180(constB18)) | v179(constB18))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33968,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)) | v179(VarNext))) | (~nextState(constB17, constB18)) | v179(constB18) | (~v180(constB18))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33967, 33966])).
% 27.25/18.57 tff(33969,plain,
% 27.25/18.57 (v179(constB18) | (~v180(constB18))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33968, 19403, 2757])).
% 27.25/18.57 tff(33970,plain,
% 27.25/18.57 (v179(constB18)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33969, 33962])).
% 27.25/18.57 tff(33971,plain,
% 27.25/18.57 (((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB18) | (~v159(constB18)) | (~v179(constB18)))) <=> ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB18) | (~v159(constB18)) | (~v179(constB18)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33972,plain,
% 27.25/18.57 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | (v186(constB18) | (~v159(constB18)) | (~v179(constB18)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33973,plain,
% 27.25/18.57 ((~![VarNext: state_type] : (v186(VarNext) | (~v159(VarNext)) | (~v179(VarNext)))) | v186(constB18) | (~v159(constB18)) | (~v179(constB18))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33972, 33971])).
% 27.25/18.57 tff(33974,plain,
% 27.25/18.57 (v186(constB18) | (~v159(constB18))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33973, 19421, 33970])).
% 27.25/18.57 tff(33975,plain,
% 27.25/18.57 (~v159(constB18)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33974, 33946])).
% 27.25/18.57 tff(33976,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33977,plain,
% 27.25/18.57 (((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19))) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33978,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19))))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[33977])).
% 27.25/18.57 tff(33979,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19)))),
% 27.25/18.57 inference(transitivity,[status(thm)],[33978, 33976])).
% 27.25/18.57 tff(33980,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB19) | (~v180(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33981,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v180(VarNext)))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v180(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 27.25/18.57 tff(33982,plain,
% 27.25/18.57 (~v180(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33981, 19439, 2825, 2822])).
% 27.25/18.57 tff(33983,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33984,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | ((~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33985,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v180(VarNext) | (~v179(VarNext)))) | (~nextState(constB18, constB19)) | v180(constB19) | (~v179(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 27.25/18.57 tff(33986,plain,
% 27.25/18.57 (v180(constB19) | (~v179(constB19))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33985, 19456, 2825])).
% 27.25/18.57 tff(33987,plain,
% 27.25/18.57 (~v179(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33986, 33982])).
% 27.25/18.57 tff(33988,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33989,plain,
% 27.25/18.57 (((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19))) <=> (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33990,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | (v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19))))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[33989])).
% 27.25/18.57 tff(33991,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19)))),
% 27.25/18.57 inference(transitivity,[status(thm)],[33990, 33988])).
% 27.25/18.57 tff(33992,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | ((~nextState(constB18, constB19)) | v179(constB19) | v159(constB18) | (~v159(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33993,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v179(VarNext) | v159(VarCurr) | (~v159(VarNext)))) | v159(constB18) | (~nextState(constB18, constB19)) | v179(constB19) | (~v159(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33992, 33991])).
% 27.25/18.57 tff(33994,plain,
% 27.25/18.57 (v159(constB18) | v179(constB19) | (~v159(constB19))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33993, 19471, 2825])).
% 27.25/18.57 tff(33995,plain,
% 27.25/18.57 (v159(constB18) | (~v159(constB19))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33994, 33987])).
% 27.25/18.57 tff(33996,plain,
% 27.25/18.57 (~v159(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33995, 33975])).
% 27.25/18.57 tff(33997,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB19) | (~v201(constB19)))) <=> ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB19) | (~v201(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(33998,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | (v159(constB19) | (~v201(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(33999,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v159(VarCurr) | (~v201(VarCurr)))) | v159(constB19) | (~v201(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[33998, 33997])).
% 27.25/18.57 tff(34000,plain,
% 27.25/18.57 (~v201(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[33999, 19490, 33996])).
% 27.25/18.57 tff(34001,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB19) | (~v200(constB19)))) <=> ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB19) | (~v200(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34002,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | (v201(constB19) | (~v200(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34003,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v201(VarCurr) | (~v200(VarCurr)))) | v201(constB19) | (~v200(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34002, 34001])).
% 27.25/18.57 tff(34004,plain,
% 27.25/18.57 (~v200(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34003, 8143, 34000])).
% 27.25/18.57 tff(34005,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB19) | (~v198(constB19)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB19) | (~v198(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34006,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB19) | (~v198(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34007,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB19) | (~v198(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34006, 34005])).
% 27.25/18.57 tff(34008,plain,
% 27.25/18.57 (~v198(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34007, 8157, 34004])).
% 27.25/18.57 tff(34009,assumption,(v18(constB20)), introduced(assumption)).
% 27.25/18.57 tff(34010,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB20))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34011,plain,
% 27.25/18.57 ($false),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34010, 8, 34009])).
% 27.25/18.57 tff(34012,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.57 tff(34013,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34014,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34015,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34014, 34013])).
% 27.25/18.57 tff(34016,plain,
% 27.25/18.57 (v22(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34015, 24, 2979])).
% 27.25/18.57 tff(34017,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB20) | (~v22(constB20)) | (~v19(constB20)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB20) | (~v22(constB20)) | (~v19(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34018,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB20) | (~v22(constB20)) | (~v19(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34019,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB20) | (~v22(constB20)) | (~v19(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34018, 34017])).
% 27.25/18.57 tff(34020,plain,
% 27.25/18.57 (v18(constB20) | (~v19(constB20))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34019, 38, 34016])).
% 27.25/18.57 tff(34021,plain,
% 27.25/18.57 (~v19(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34020, 34012])).
% 27.25/18.57 tff(34022,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34023,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34024,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34023, 34022])).
% 27.25/18.57 tff(34025,plain,
% 27.25/18.57 (v13(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34024, 50, 34021])).
% 27.25/18.57 tff(34026,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34027,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34028,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34027, 34026])).
% 27.25/18.57 tff(34029,plain,
% 27.25/18.57 (v9(constB19) | (~v13(constB20))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34028, 67, 2956])).
% 27.25/18.57 tff(34030,plain,
% 27.25/18.57 (v9(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34029, 34025])).
% 27.25/18.57 tff(34031,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v197(constB19))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB19) | (~v9(constB19)) | v197(constB19))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34032,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v197(constB19))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34033,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v197(VarCurr))) | v1(constB19) | (~v9(constB19)) | v197(constB19)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34032, 34031])).
% 27.25/18.57 tff(34034,plain,
% 27.25/18.57 ((~v9(constB19)) | v197(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34033, 85, 2822])).
% 27.25/18.57 tff(34035,plain,
% 27.25/18.57 (v197(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34034, 34030])).
% 27.25/18.57 tff(34036,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB19)) | v196(constB19))) <=> ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB19)) | v196(constB19))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34037,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | ((~v197(constB19)) | v196(constB19))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34038,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v197(VarCurr)) | v196(VarCurr))) | (~v197(constB19)) | v196(constB19)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 27.25/18.57 tff(34039,plain,
% 27.25/18.57 (v196(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34038, 97, 34035])).
% 27.25/18.57 tff(34040,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB19)) | (~v196(constB19)))) <=> ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB19)) | (~v196(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34041,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | ((~v194(constB19)) | (~v196(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34042,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v194(VarCurr)) | (~v196(VarCurr)))) | (~v194(constB19)) | (~v196(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 27.25/18.57 tff(34043,plain,
% 27.25/18.57 (~v194(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34042, 108, 34039])).
% 27.25/18.57 tff(34044,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB19) | v198(constB19) | (~v191(constB19)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB19) | v198(constB19) | (~v191(constB19)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34045,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB19) | v198(constB19) | (~v191(constB19)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34046,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB19) | v198(constB19) | (~v191(constB19))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34045, 34044])).
% 27.25/18.57 tff(34047,plain,
% 27.25/18.57 (v198(constB19) | (~v191(constB19))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34046, 8171, 34043])).
% 27.25/18.57 tff(34048,plain,
% 27.25/18.57 (~v191(constB19)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34047, 34008])).
% 27.25/18.57 tff(34049,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34050,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34051,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB19, constB20)) | v191(constB19) | (~v193(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34050, 34049])).
% 27.25/18.57 tff(34052,plain,
% 27.25/18.57 (v191(constB19) | (~v193(constB20))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34051, 8186, 2956])).
% 27.25/18.57 tff(34053,plain,
% 27.25/18.57 (~v193(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34052, 34048])).
% 27.25/18.57 tff(34054,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB20) | (~v194(constB20)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB20) | (~v194(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34055,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | (v193(constB20) | (~v194(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34056,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v194(VarCurr)))) | v193(constB20) | (~v194(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34055, 34054])).
% 27.25/18.57 tff(34057,plain,
% 27.25/18.57 (~v194(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34056, 8201, 34053])).
% 27.25/18.57 tff(34058,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB20)) | (~v197(constB20)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB20)) | (~v197(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34059,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | ((~v1(constB20)) | (~v197(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34060,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v197(VarCurr)))) | (~v1(constB20)) | (~v197(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34059, 34058])).
% 27.25/18.57 tff(34061,plain,
% 27.25/18.57 (~v197(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34060, 8215, 2979])).
% 27.25/18.57 tff(34062,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB20) | (~v200(constB20)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB20) | (~v200(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34063,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | (v197(constB20) | (~v200(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34064,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v200(VarCurr)))) | v197(constB20) | (~v200(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34063, 34062])).
% 27.25/18.57 tff(34065,plain,
% 27.25/18.57 (~v200(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34064, 8229, 34061])).
% 27.25/18.57 tff(34066,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB20) | (~v198(constB20)))) <=> ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB20) | (~v198(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34067,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | (v200(constB20) | (~v198(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34068,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v200(VarCurr) | (~v198(VarCurr)))) | v200(constB20) | (~v198(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34067, 34066])).
% 27.25/18.57 tff(34069,plain,
% 27.25/18.57 (~v198(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34068, 8157, 34065])).
% 27.25/18.57 tff(34070,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB20) | v198(constB20) | (~v191(constB20)))) <=> ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB20) | v198(constB20) | (~v191(constB20)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34071,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | (v194(constB20) | v198(constB20) | (~v191(constB20)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34072,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v194(VarCurr) | v198(VarCurr) | (~v191(VarCurr)))) | v194(constB20) | v198(constB20) | (~v191(constB20))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34071, 34070])).
% 27.25/18.57 tff(34073,plain,
% 27.25/18.57 (v194(constB20) | (~v191(constB20))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34072, 8171, 34069])).
% 27.25/18.57 tff(34074,plain,
% 27.25/18.57 (~v191(constB20)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34073, 34057])).
% 27.25/18.57 tff(34075,plain,
% 27.25/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34076,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | ((~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21)))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34077,plain,
% 27.25/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v191(VarCurr) | (~v193(VarNext)))) | (~nextState(constB20, constB21)) | v191(constB20) | (~v193(constB21))),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34076, 34075])).
% 27.25/18.57 tff(34078,plain,
% 27.25/18.57 (v191(constB20) | (~v193(constB21))),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34077, 8186, 3214])).
% 27.25/18.57 tff(34079,plain,
% 27.25/18.57 (~v193(constB21)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34078, 34074])).
% 27.25/18.57 tff(34080,plain,
% 27.25/18.57 ($false),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34079, 33893])).
% 27.25/18.57 tff(34081,plain,(~(constB21 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.57 tff(34082,assumption,(constB168 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.57 tff(34083,plain,
% 27.25/18.57 (v1(constB168) <=> v1(sK0_VarCurr)),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34082])).
% 27.25/18.57 tff(34084,plain,
% 27.25/18.57 (v1(sK0_VarCurr) <=> v1(constB168)),
% 27.25/18.57 inference(symmetry,[status(thm)],[34083])).
% 27.25/18.57 tff(34085,plain,
% 27.25/18.57 ((~v1(sK0_VarCurr)) <=> (~v1(constB168))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34084])).
% 27.25/18.57 tff(34086,plain,
% 27.25/18.57 (~v1(constB168)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[25165, 34085])).
% 27.25/18.57 tff(34087,plain,
% 27.25/18.57 ($false),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[21268, 34086])).
% 27.25/18.57 tff(34088,plain,(~(constB168 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.57 tff(34089,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.57 tff(34090,plain,
% 27.25/18.57 (v193(constB69) <=> v193(sK0_VarCurr)),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34089])).
% 27.25/18.57 tff(34091,plain,
% 27.25/18.57 (v193(sK0_VarCurr) <=> v193(constB69)),
% 27.25/18.57 inference(symmetry,[status(thm)],[34090])).
% 27.25/18.57 tff(34092,plain,
% 27.25/18.57 (v193(constB69)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[8270, 34091])).
% 27.25/18.57 tff(34093,plain,
% 27.25/18.57 ($false),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[30470, 34092])).
% 27.25/18.57 tff(34094,plain,(~(constB69 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.57 tff(34095,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.57 tff(34096,plain,
% 27.25/18.57 (v1(constB190) <=> v1(sK0_VarCurr)),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34095])).
% 27.25/18.57 tff(34097,plain,
% 27.25/18.57 (v1(sK0_VarCurr) <=> v1(constB190)),
% 27.25/18.57 inference(symmetry,[status(thm)],[34096])).
% 27.25/18.57 tff(34098,plain,
% 27.25/18.57 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34097])).
% 27.25/18.57 tff(34099,plain,
% 27.25/18.57 (~v1(constB190)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[25165, 34098])).
% 27.25/18.57 tff(34100,plain,
% 27.25/18.57 ($false),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[24560, 34099])).
% 27.25/18.57 tff(34101,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.25/18.57 tff(34102,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 27.25/18.57 tff(34103,plain,
% 27.25/18.57 (v193(constB151) <=> v193(sK0_VarCurr)),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34102])).
% 27.25/18.57 tff(34104,plain,
% 27.25/18.57 (v193(sK0_VarCurr) <=> v193(constB151)),
% 27.25/18.57 inference(symmetry,[status(thm)],[34103])).
% 27.25/18.57 tff(34105,plain,
% 27.25/18.57 (v193(constB151)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[8270, 34104])).
% 27.25/18.57 tff(34106,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB147, bitIndex2)) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB147, bitIndex2)) | v90(constB147, bitIndex2))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34107,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | ((~v88(constB147, bitIndex2)) | v90(constB147, bitIndex2))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34108,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex2))) | (~v88(constB147, bitIndex2)) | v90(constB147, bitIndex2)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34107, 34106])).
% 27.25/18.57 tff(34109,plain,
% 27.25/18.57 (~v88(constB147, bitIndex2)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34108, 25366, 18136])).
% 27.25/18.57 tff(34110,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB147, bitIndex1)) | v90(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB147, bitIndex1)) | v90(constB147, bitIndex1))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34111,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | ((~v88(constB147, bitIndex1)) | v90(constB147, bitIndex1))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34112,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex1))) | (~v88(constB147, bitIndex1)) | v90(constB147, bitIndex1)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34111, 34110])).
% 27.25/18.57 tff(34113,plain,
% 27.25/18.57 (~v88(constB147, bitIndex1)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34112, 25377, 18170])).
% 27.25/18.57 tff(34114,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34115,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34116,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 27.25/18.57 tff(34117,plain,
% 27.25/18.57 (v88(constB147, bitIndex0)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34116, 26352, 18201])).
% 27.25/18.57 tff(34118,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)) | v140(constB147))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34119,plain,
% 27.25/18.57 ((v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147)) <=> (v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)) | v140(constB147))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34120,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)) | v140(constB147)))),
% 27.25/18.57 inference(monotonicity,[status(thm)],[34119])).
% 27.25/18.57 tff(34121,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)) | v140(constB147))),
% 27.25/18.57 inference(transitivity,[status(thm)],[34120, 34118])).
% 27.25/18.57 tff(34122,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))),
% 27.25/18.57 inference(quant_inst,[status(thm)],[])).
% 27.25/18.57 tff(34123,plain,
% 27.25/18.57 ((~![VarCurr: state_type] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | (~v88(constB147, bitIndex0)) | v140(constB147)),
% 27.25/18.57 inference(modus_ponens,[status(thm)],[34122, 34121])).
% 27.25/18.57 tff(34124,plain,
% 27.25/18.57 (v140(constB147)),
% 27.25/18.57 inference(unit_resolution,[status(thm)],[34123, 26773, 34117, 34113, 34109])).
% 27.25/18.57 tff(34125,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | (v169(constB147) | (~v140(constB147)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | v169(constB147) | (~v140(constB147)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34126,plain,
% 27.25/18.57 (((~v140(constB147)) | v169(constB147)) <=> (v169(constB147) | (~v140(constB147)))),
% 27.25/18.57 inference(rewrite,[status(thm)],[])).
% 27.25/18.57 tff(34127,plain,
% 27.25/18.57 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v169(VarCurr))) | ((~v140(constB147)) | v169(constB147))) <